%PDF-1.6 % 2 0 obj <>/Metadata 147 0 R/Names 124 0 R/Outlines 122 0 R/Pages 3 0 R/StructTreeRoot 148 0 R/Type/Catalog>> endobj 147 0 obj <>stream 2002-02-11T20:46:52+01:00 TeX output 2002.02.11:2046 2012-12-05T14:12:09-05:00 2012-12-05T14:12:09-05:00 dvipdfm 0.13.2, Copyright © 1998, by Mark A. Wicks Collision attacks on OCB application/pdf Collision attacks on OCB Collision attacks on OCB uuid:b7f4a085-2b9f-404a-8f98-201f8ab96164 uuid:69b9b05d-dd7e-496a-ad16-14385f1a8d5c endstream endobj 124 0 obj <<>> endobj 122 0 obj <<>> endobj 3 0 obj <> endobj 148 0 obj <> endobj 123 0 obj null endobj 149 0 obj <>/CM10<>/CM11<>/CM12<>/CM13<>/CM14<>/CM15<>/CM16<>/CM17<>/CM18<>/CM19<>/CM2<>/CM20<>/CM21<>/CM22<>/CM23<>/CM24<>/CM3<>/CM4<>/CM5<>/CM6<>/CM7<>/CM8<>/CM9<>>> endobj 150 0 obj <> endobj 151 0 obj <> endobj 152 0 obj <> endobj 167 0 obj [153 0 R 154 0 R 188 0 R 155 0 R 156 0 R 157 0 R 158 0 R 189 0 R 190 0 R 191 0 R 192 0 R 193 0 R 184 0 R null] endobj 168 0 obj <>12]/P 194 0 R/Pg 5 0 R/S/Link>> endobj 169 0 obj [195 0 R 196 0 R 197 0 R 198 0 R 197 0 R 199 0 R 197 0 R 200 0 R 201 0 R 202 0 R 203 0 R 204 0 R 205 0 R 204 0 R 206 0 R 207 0 R 208 0 R 207 0 R null] endobj 170 0 obj [209 0 R 210 0 R 211 0 R 210 0 R 212 0 R 213 0 R 214 0 R 215 0 R 214 0 R 216 0 R 214 0 R 217 0 R 218 0 R 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)Tj /T1_0 1 Tf 1.944 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.278 0 Td (3DES.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -9.98 -1.672 Td (Collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.06 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.393 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.613 0 Td [(m)27(uc)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.611 0 Td (easier)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.73 0 Td (when)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.555 0 Td (64-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.833 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.582 0 Td (ciphers)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.341 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.613 0 Td (used.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.654 0 Td (There\311)Tj -29.985 -1.242 Td (fore,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.253 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.472 0 Td (most)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.45 0 Td (strongly)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.869 0 Td (advise)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.034 0 Td [(nev)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.669 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.223 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.727 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.541 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.279 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.833 0 Td (64-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.889 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.639 0 Td (cipher.)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_2 1 Tf 11.9533 0 0 11.9533 125.7951 621.8186 Tm (5.4)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_2 1 Tf 2.563 0 Td (OCB's)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.589 0 Td [(pro)-31(of)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.959 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.281 0 Td [(securit)30(y)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 125.7951 596.5315 Tm (Our)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.063 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.06 0 Td [(do)-28(es)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.261 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.783 0 Td (violate)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.255 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.727 0 Td [(pro)-28(of)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.619 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.144 0 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.735 0 Td [(giv)27(en)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.616 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.171 0 Td ([RBBK01a].)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.723 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.157 -1.242 Td [(pro)-28(of)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.614 0 Td (limits)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.783 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.723 0 Td [(adv)55(an)28(tage)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.722 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.139 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td [(attac)27(k)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.864 0 Td (to)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf -4.584 -2.123 Td (1)Tj /T1_3 1 Tf (:)Tj /T1_0 1 Tf [(5)-219(\271)]TJ /T1_3 1 Tf 1.445 0 Td (\276)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 300.774 563.7723 Tm (2)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 323.8205 559.8112 Tm (1)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -1.346 -0.676 Td (+)Tj EMC /StyleSpan <>BDC -2.429 -0.686 Td (2)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 288.0805 548.0979 Tm (128)Tj /T1_1 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 321.2298 544.9471 Tm (2)Tj EMC /StyleSpan <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 326.6813 548.0979 Tm (\277)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 125.7951 525.4116 Tm (where)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.987 0 Td (\271)Tj /T1_3 1 Tf -0.053 0 Td (\276)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.983 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.047 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.765 0 Td (total)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.432 0 Td [(n)26(um)28(b)-27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.686 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.182 0 Td [(blo)-27(c)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.075 0 Td (encrypted)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.684 0 Td (under)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.879 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.876 0 Td (single)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.826 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.848 0 Td (plus)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.159 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.376 -1.241 Td (few)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.805 0 Td (other)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.614 0 Td (small)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.617 0 Td (terms.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.175 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.284 0 Td [(b)-27(ound)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.084 0 Td (clearly)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.197 0 Td [(allo)27(ws)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.979 0 Td (our)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.78 0 Td [(attac)27(k.)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 14.344 0 0 14.344 125.7951 472.7969 Tm (6)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.688 0 Td [(Ac)31(kno)31(wledgemen)31(ts)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 125.7951 443.7487 Tm (I)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.713 0 Td [(w)26(ould)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.936 0 Td [(lik)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.852 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.241 0 Td (thank)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.881 0 Td [(In)27(tersil)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.417 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.549 0 Td (\257nancing)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.298 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.969 0 Td [(researc)27(h,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.174 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.963 0 Td (Russ)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.434 0 Td (Housley)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.427 -1.242 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.848 0 Td (Doug)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.558 0 Td (Whiting)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.822 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.435 0 Td (their)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.295 0 Td (helpful)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.21 0 Td [(commen)27(ts.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.057 0 Td [(Da)27(vid)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.835 0 Td [(W)83(agner)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.574 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.849 0 Td [(T)83(ada)28(y)27(oshi)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -28.483 -1.241 Td (Kohno)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.191 0 Td [(pro)27(vided)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.083 0 Td [(v)55(aluable)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.886 0 Td [(feedbac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.052 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.359 0 Td [(m)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.635 0 Td (\257rst)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.034 0 Td (draft)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.444 0 Td [(whic)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.831 0 Td (greatly)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.333 0 Td [(impro)27(v)28(ed)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -28.848 -1.242 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td [(presen)27(tation.)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 14.344 0 0 14.344 125.7951 364.0364 Tm (7)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.688 0 Td (Conclusions)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 125.7951 334.9783 Tm (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.989 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.476 0 Td [(authen)27(ticated)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.239 0 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.91 0 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.628 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.718 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.767 0 Td [(m)27(uc)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.601 0 Td [(w)27(eak)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.242 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -26.57 -1.241 Td (than)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.255 0 Td (could)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.587 0 Td (reasonably)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.902 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.283 0 Td [(exp)-27(ected.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.53 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.204 0 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.616 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.927 0 Td (incapable)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.365 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.061 0 Td (handling)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.033 0 Td (large)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.763 -1.242 Td [(amoun)27(ts)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.976 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.081 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.221 0 Td (without)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.664 0 Td (losing)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.782 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.58 0 Td [(securit)26(y)84(.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.018 0 Td [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.664 0 Td (therefore)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.142 0 Td (advice)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.128 -1.241 Td (against)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.45 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.728 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.139 0 Td (OCB.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 14.344 0 0 14.344 125.7951 255.266 Tm (References)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 125.7951 226.4279 Tm ([BM01])Tj /T1_1 1 Tf (\003 )Tj /T1_0 1 Tf 5.542 0 Td (Karl)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.217 0 Td (Brincat)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.536 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.881 0 Td (Chris)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.611 0 Td (J.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.062 0 Td [(Mitc)27(hell.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.173 0 Td (New)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.186 0 Td [(CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.117 0 Td (forgery)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.33 0 Td (at\311)Tj -26.115 -1.241 Td [(tac)27(ks.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.867 0 Td (In)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.201 0 Td (V.)Tj 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yЍx9h[g>r{7Ș7Iѷ?WJZ]7ƌREG G̟i^4N^ݧ|H{rv[C'4A$af/چnAZ4DmWbEF:RnMZFG(n20dNko|_ kXޛQBJ^7d>5ao=&U֤}W&ރ#词GJRڦe=.aI}Zt)HV{nlMPa>W:qY'!cW[Д:MD'T>W 0ApRZJYkX_b]>⽏ǑqQq0ՠ"B貍S*2cL fmUEhCи7򁞾HRq,'T]Ď%މNpb ZzHC0HJ?4h[9$Z_If\.ghU]9:u]jG}k/z a]Miu=%Dzz:k)ڍk$?;沥 L xb7O)y'e^Pnv(;ڲf ")&uUyQ2<}5pji},ݩS^Jd^Fcр7nN 8~7xe;hn)%pRcQ]]Q'zC'b8)lG}ON,͞@V#Zc-"ğFX qr)XVĿ=e&*[rB`#8!攎*=n;]:?^ [[a֡{w*9(աHT|T5fS=ّsj#idPS=nptdsW`L_ &0~Q2Pd-)wѹҥwa$_Y$?,+>VA pDN!u5)t`> i017j9y鶒jǃ3cޒ.j+x[q8>i^gM$$ϖ V…4}NUQ&l25ت1~mTيzbv 玍2 ԅiOZeK?MPdFb+e> |^zG1;, H3H#tpǀ,Qª-Q\E$byfb`$dǴ9ǴQi$K٬˰?8Tk-Rs*\dZr=V`;m|q6 r&[%ټrrmQƭ? t+%vzdӉx|g p&hκnM9q]6J1L`[Kuy`',l!fNp ̷ endstream endobj 484 0 obj <>stream BT /P <>BDC 0 g /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 10.9131 0 0 10.9131 125.7951 701.0808 Tm (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.282 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.421 0 Td [(pro)-28(cessed)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.547 0 Td (reduces)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.623 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.782 0 Td [(authen)26(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.699 0 Td (strength.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.522 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.115 0 Td (designer)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.958 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.065 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.014 -1.242 Td [(fo)-28(oling)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.247 0 Td (himself)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.391 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.248 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.691 0 Td [(v)54(alue)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.553 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.102 0 Td (\277)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.55 0 Td (,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.586 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.913 0 Td (could)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.636 0 Td (reduce)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.138 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.692 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.813 0 Td (expansion)Tj /T1_1 1 Tf ( )Tj /T1_0 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(a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.932 0 Td [(p)-28(opular)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.797 0 Td (one,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.235 0 Td (but)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.933 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.326 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.821 0 Td (table)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.6 0 Td [(sho)27(ws)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.971 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.209 -1.241 Td (implies)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.402 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.173 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.202 0 Td [(ab)-28(out)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.869 0 Td (64)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.341 0 Td (GB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.834 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.146 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.286 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.841 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.368 0 Td [(pro)-28(cessed)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.494 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.623 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.841 0 Td (single)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.791 0 Td [(k)27(ey)83(.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.211 -1.242 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.355 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.077 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.906 0 Td [(sev)27(ere)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.025 0 Td (restriction)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.862 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.602 0 Td [(mo)-28(dern)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.713 0 Td (data-handling)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.461 0 Td (systems,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.079 0 Td (certainly)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.213 0 Td (if)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.293 -1.241 Td (they)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.25 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.669 0 Td (still)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.951 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.166 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.727 0 Td (10)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.334 0 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.225 0 Td (20)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.333 0 Td [(y)26(ears)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.565 0 Td (from)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.364 0 Td [(no)26(w.)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -17.584 -1.672 Td (Our)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.028 0 Td (comparison)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.256 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.976 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.5 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.692 0 Td [(v)26(ery)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.168 0 Td (simple)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.086 0 Td (case)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.087 0 Td (when)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.581 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.442 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.164 0 Td (consider)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.867 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.693 0 Td (prob\311)Tj -30.54 -1.242 Td [(abilit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.221 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.25 0 Td (successful)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.654 0 Td (forgery)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.505 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.499 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.833 0 Td (\257rst)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.174 0 Td (attempt.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.553 0 Td (If)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.11 0 Td [(w)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.582 0 Td [(lo)-28(ok)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.277 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.333 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.832 0 Td (total)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.823 -1.241 Td [(amoun)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.68 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.179 0 Td [(w)27(ork)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.488 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.762 0 Td [(attac)26(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.904 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.824 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.262 0 Td [(p)-28(erform)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.825 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.762 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.88 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.095 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.046 0 Td [(sligh)27(tly)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.707 -1.242 Td (less)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.835 0 Td [(attractiv)27(e.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.943 0 Td (If)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.991 0 Td [(eac)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.241 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.796 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.995 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.274 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.521 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 312.3073 560.1513 Tm (32)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 324.8008 556.1902 Tm [(blo)-28(c)27(ks,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.302 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.713 0 Td [(attac)27(k)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.854 0 Td (needs)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.718 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.213 0 Td [(lo)-28(ok)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.036 -1.241 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.563 0 Td (collisions)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.267 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.564 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 211.9192 546.5975 Tm (64)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 224.8828 542.6464 Tm [(di\256eren)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.98 0 Td [(k)26(eys)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.234 0 Td [(b)-28(efore)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.037 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.755 0 Td (\257rst)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.098 0 Td (success,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.725 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.563 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.867 0 Td (total)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.423 0 Td [(w)27(ork)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.762 -1.242 Td (load)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.251 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.225 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 169.1772 533.0537 Tm (96)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 178.1397 529.0926 Tm (.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.978 0 Td (\(If)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.474 0 Td [(eac)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.336 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.891 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.09 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.369 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.615 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 311.8071 533.0537 Tm (48)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 325.3409 529.0926 Tm [(blo)-27(c)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.117 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.808 0 Td [(attac)27(k)28(er's)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.621 0 Td [(w)27(orkload)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.365 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.196 -1.242 Td (reduced)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.822 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.32 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 187.3423 519.4999 Tm (80)Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 196.3148 515.5388 Tm (.\))Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.403 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.38 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.103 0 Td [(w)27(ell)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.125 0 Td [(b)-27(elo)26(w)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.93 0 Td (our)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.878 0 Td (target)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.044 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.237 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 377.4055 519.4999 Tm (128)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 390.6092 515.5388 Tm (.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.014 0 Td [(F)82(urthermore,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.2 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.48 -1.241 Td [(w)27(orkload)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.302 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.161 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.744 0 Td [(attac)27(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.885 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.027 0 Td (still)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.972 0 Td (comparable)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.358 0 Td (\(if)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.327 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.8 0 Td (less)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.866 0 Td (than\))Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.744 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.744 0 Td [(w)26(orkload)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -28.93 -1.242 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.157 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.739 0 Td (user)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.137 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.157 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.74 0 Td (system.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.757 0 Td (So)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.407 0 Td (if)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.934 0 Td (enough)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.462 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.295 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.023 0 Td [(b)-28(eing)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.713 0 Td [(pro)-27(cessed)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.503 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.407 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.559 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.99 -1.241 Td [(allo)27(w)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.583 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.951 0 Td [(attac)27(k,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.333 0 Td (then)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.279 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.055 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.006 0 Td (practical)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.114 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.39 0 Td (de\257nition.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -21.433 -1.672 Td (Things)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.243 0 Td [(b)-28(ecome)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.488 0 Td [(ev)27(en)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.182 0 Td (more)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.406 0 Td (di\261cult)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.57 0 Td (when)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.515 0 Td [(w)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.376 0 Td [(lo)-28(ok)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.071 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.126 0 Td (more)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.407 0 Td (complicated)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.459 0 Td [(mo)-28(dels)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.843 -1.242 Td (where)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.794 0 Td [(w)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.375 0 Td (consider)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.8 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.626 0 Td [(n)27(um)28(b)-27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.546 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.042 0 Td [(in)27(teractions)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.328 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.181 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.626 0 Td (sender)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.022 0 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.129 0 Td [(receiv)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.575 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.044 -1.241 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.782 0 Td [(attac)27(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.923 0 Td (needs.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.296 0 Td (One)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.171 0 Td (generic)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.451 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.115 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.065 0 Td (just)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.038 0 Td (guessing)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.015 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.782 0 Td (tag)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.782 0 Td [(v)55(alue.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.152 0 Td (An)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.572 -1.242 Td [(attac)27(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.895 0 Td (could)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.697 0 Td (try)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.672 0 Td [(m)27(ultiple)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.948 0 Td (times)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.703 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.253 0 Td (guess)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.653 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.865 0 Td (tag)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.753 0 Td [(v)55(alue,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.9 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.976 0 Td [(eac)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.281 0 Td (time)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.308 0 Td [(ha)26(v)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.904 -1.241 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.701 0 Td (same)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.484 0 Td [(c)27(hance)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.228 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.118 0 Td (succeeding.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.331 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.034 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.818 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.034 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.368 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.52 0 Td [(do)-28(es)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.234 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.757 0 Td [(allo)26(w)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.627 -1.242 Td [(rep)-28(eated)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.097 0 Td (attempts.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.649 0 Td (On)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.678 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.733 0 Td (other)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.626 0 Td (hand,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.792 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.4 0 Td [(attac)27(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.875 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.177 0 Td (guesses)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.473 0 Td (tag)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.733 0 Td [(v)55(alues)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.233 -1.242 Td (will)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.829 0 Td (alert)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.277 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.663 0 Td [(receiv)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.613 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.106 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.33 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.996 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.946 0 Td (going)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.606 0 Td (on,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.619 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.168 0 Td [(receiv)27(ers)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.007 0 Td [(exp)-28(ect)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.108 0 Td [(v)27(ery)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.138 0 Td (few)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.406 -1.241 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.71 0 Td (failures)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.552 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.238 0 Td (normal)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.463 0 Td [(op)-28(eration.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.079 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.127 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.911 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.127 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.461 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.668 -1.242 Td [(nev)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.657 0 Td (alerts)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.719 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.71 0 Td [(receiv)27(er;)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.943 0 Td (there)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.546 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.994 0 Td [(nev)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.657 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.378 0 Td (indication)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.655 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.127 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.711 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.044 0 Td [(un)27(til)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.348 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.489 -1.241 Td [(receiv)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.661 0 Td (gets)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.05 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.822 0 Td (forged)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.019 0 Td (message.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.23 0 Td (One)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.1 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.822 0 Td (argue)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.714 0 Td [(whic)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.85 0 Td (one)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.822 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.128 0 Td (these)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.55 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.438 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.206 -1.242 Td (more)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.538 0 Td (serious;)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.623 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.869 0 Td (discussion)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.719 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.202 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.041 0 Td [(unlik)27(ely)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.786 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.258 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.397 0 Td [(solv)27(ed)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.041 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.202 0 Td (general)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.484 0 Td (terms)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.822 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.982 -1.241 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.002 0 Td [(dep)-28(ends)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.87 0 Td [(hea)27(vily)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.418 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.392 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.724 0 Td [(prop)-28(erties)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.709 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.141 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.725 0 Td (rest)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.954 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.142 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.724 0 Td (system.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.712 0 Td [(W)82(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.725 0 Td (feel)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.807 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.045 -1.242 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.917 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.972 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.357 0 Td [(irrelev)55(an)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.418 0 Td (discussion)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.65 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.195 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.689 0 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.697 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.107 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.8 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.605 0 Td (cipher)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.97 0 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.661 0 Td (should)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.038 -1.241 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.893 0 Td [(dep)-28(end)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.589 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.504 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.838 0 Td (rest)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.067 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.255 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.837 0 Td (system.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.051 0 Td (In)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.366 0 Td (other)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.73 0 Td [(w)27(ords:)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.489 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.837 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.754 0 Td (cipher)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.21 -1.242 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.73 0 Td (should)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.208 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.397 0 Td (secure)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.044 0 Td [(irresp)-28(ectiv)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.352 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.175 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.758 0 Td (design)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.098 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.175 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.758 0 Td (rest)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.988 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.175 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.758 0 Td (system,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.616 -1.241 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.234 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.73 0 Td (threat)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.012 0 Td [(mo)-28(del.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.387 0 Td (A)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.092 0 Td [(mo)-27(de)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.702 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.175 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.792 0 Td [(w)27(eaknesses)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.136 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.174 0 Td [(an)26(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.898 0 Td (reasonable)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.906 0 Td [(mo)-28(del)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.238 -1.242 Td (should)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.195 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.801 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.384 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.306 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.245 0 Td (all,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.695 0 Td [(esp)-28(ecially)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.528 0 Td (since)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.473 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.745 0 Td (rest)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.975 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.162 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.745 0 Td (system,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.623 0 Td (including)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -28.877 -1.242 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.056 0 Td [(mo)-27(del,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.25 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.005 0 Td [(lik)27(ely)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.639 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.222 0 Td [(c)27(hange)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.306 0 Td [(o)27(v)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.141 0 Td (time.)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf -18.341 -1.672 Td (If)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.961 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.433 0 Td (restrict)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.416 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.502 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.184 0 Td (its)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.355 0 Td (safe)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.938 0 Td [(op)-28(erational)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.214 0 Td [(en)27(v)27(elop)-26(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.017 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.432 0 Td (get)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.628 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.794 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 413.5356 212.0239 Tm (\241)Tj /T1_3 1 Tf 0.827 0 Td (64)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 432.3009 208.0628 Tm [(probabilit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -28.086 -1.241 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.202 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.908 0 Td (forgery)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.457 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.008 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.896 0 Td (limit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.453 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.452 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 298.9835 198.4801 Tm (32)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 312.2773 194.519 Tm [(blo)-27(c)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.095 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.202 0 Td (data.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.856 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.347 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.068 0 Td [(v)27(ery)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.261 0 Td (similar)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.917 -1.242 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.244 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.745 0 Td [(b)-28(ounds)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.5 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.188 0 Td [(CTR-CBC-MA)26(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 7.717 0 Td (seems)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.867 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.244 0 Td [(ac)27(hiev)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.494 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.638 0 Td (3DES.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.134 0 Td (In)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.272 0 Td (that)Tj /T1_1 1 Tf ( )Tj EMC /Artifact <>BDC /T1_0 1 Tf -15.11 -3.5 Td (11)Tj /T1_1 1 Tf ( )Tj EMC ET endstream endobj 131 0 obj <> endobj 15 0 obj <> endobj 492 0 obj <>stream Hlj[G,SƅBzB3GGPBys }A篋7=Mi8/X>Wi{7?}~u^~X]~z|Zwiiz_{iVnqz>~?Ms~ٸyeλtxrjsy=]z?]/go>/n{} F!B$DDH  (TBUh ]aLBXvݷ֧eެ Py(<A EG"#@Py(<A EG"#@8/_Q(EG"#BPDyD(<"Q(EG"#BPDy$(<I $EG"#A䑠HHP$y$(<I $EG"#A䑠HHP$yd(<2Y, EG"#C呡Pdyd(<2Y, EG"#C呡Pdy(< E"EGȣ@QQ((Py(< E"EGȣ@QQ((PyT(<*U* EG~8ƾܮU*LUV* SUʪTeUa0UYU*LUV*SUɪd`jj05]; &EGɣAѠhhP4y4(<M &EGɣCѡ8/EGˣCq^NG .EGˣCѡPtyt(<:].EGc@11>C!1P y (<C!Őǀbc@11P y (" endstream endobj 14 0 obj <>stream xRiTgkqP>, $3nA 6d# L&P@ĊQ!VTģXPWZ@)OOtϼww"+')m{  C&&B Ci$\P@' <\{  $c5.pKPxt4`D$H 6Nr981)Hq "1N@OD Cm*#QJ0g|.K)I5@EA1^q5\M%>Q.| XQb1 yƤJ1Q9.q"dr X!6lؚ7J7\I}qZ Pct&A#w/`(N5?kS̈́Djaa+l0WBBJqB<[R`F5 )qa$L4 "(pBhdÕ1̦Dl'™ t>3^ce +3Ax$@q*`CEa=1~pf $i9+o^m:c&>iH?& z²'?=qڞ$q3+;{8;5WrY^畊RF>7Jun,~7 )++25AzLwR17յ/uԽE-QgO|7+lapDӅW'$r3yZ|ҵ~̟Zw*Ucn8Buqu;7lM1aŎ{hκPw. 'BG2Ix 7, <7--^֝=- -/Le5M7{u"we0{8klCC]p} şuo{q*T,6nYy޷3=SGXMLqe5)`s=<.uVZYSs1L[(^$*Fzǭm1 .޿¢SUoEB;lv=mϸ0P޼uupjAH]xM`>̜|݄ps*5{ޜ]^kE4,Iڼ+q۶ Ԧ>-[uLr{ {qMOEvz9in+&{VJ/(C87 条|mDi+V?XmкIUߊʧsֈ': KsWX].~\Ra3f4p}P)οvĪCX`H5 ȯ j(ӣ15^+5/^u6߬W'S٠bMi8_^]K!#3ߞW`o"h~K剋)#7Q]QAwy?:-?y|;: _I]/-Pe7%rOHJѤb j endstream endobj 483 0 obj <>stream /Artifact <>BDC q 1.00028 0 0 1.00028 72 769.82 cm 0 G 0.4 w q 1 0 0 1 164 -57.97 cm 0 0 m 138.12 0 l 0 -13.74 m 0 -0.2 l 138.12 -13.74 m 138.12 -0.2 l 0 -13.94 m 138.12 -13.94 l 0 -27.68 m 0 -14.14 l 138.12 -27.68 m 138.12 -14.14 l 0 -41.23 m 0 -27.68 l 138.12 -41.23 m 138.12 -27.68 l 0 -54.78 m 0 -41.23 l 138.12 -54.78 m 138.12 -41.23 l 0 -68.32 m 0 -54.78 l 138.12 -68.32 m 138.12 -54.78 l 0 -81.87 m 0 -68.32 l 138.12 -81.87 m 138.12 -68.32 l 0 -95.41 m 0 -81.87 l 138.12 -95.41 m 138.12 -81.87 l 0 -108.96 m 0 -95.41 l 138.12 -108.96 m 138.12 -95.41 l 0 -109.16 m 138.12 -109.16 l -110.22 -511.91 m 33.2 -511.91 l S Q Q EMC BT /TH <>BDC 0 g /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 10.9131 0 0 10.9131 242.0276 702.1511 Tm (#)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.166 0 Td [(blo)-27(c)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.032 0 Td (data)Tj /T1_1 1 Tf ( )Tj EMC /TH <>BDC /T1_0 1 Tf 3.041 0 Td (limit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.389 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.386 0 Td (\277)Tj /T1_1 1 Tf ( )Tj EMC /TH <>BDC /T1_0 1 Tf -8.192 -1.278 Td (1)Tj /T1_1 1 Tf ( )Tj EMC /TD <>BDC /T1_0 1 Tf 5.831 0 Td (128)Tj /T1_1 1 Tf ( )Tj EMC /TH <>BDC /T1_0 1 Tf -6.242 -1.242 Td (2)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 273.7865 678.6145 Tm (16)Tj /T1_1 1 Tf ( )Tj EMC /TD <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 339.1648 674.6534 Tm (96)Tj /T1_1 1 Tf ( )Tj EMC /TH <>BDC /T1_0 1 Tf -6.49 -1.241 Td (2)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 273.7865 665.0707 Tm (24)Tj /T1_1 1 Tf ( )Tj EMC /TD <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 339.1648 661.1096 Tm (80)Tj /T1_1 1 Tf ( )Tj EMC /TH <>BDC /T1_0 1 Tf -6.49 -1.242 Td (2)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 273.7865 651.5169 Tm (32)Tj /T1_1 1 Tf ( )Tj EMC /TD <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 339.1648 647.5558 Tm (64)Tj /T1_1 1 Tf ( )Tj EMC /TH <>BDC /T1_0 1 Tf -6.49 -1.241 Td (2)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 273.7865 637.9631 Tm (48)Tj /T1_1 1 Tf ( )Tj EMC /TD <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 339.1648 634.012 Tm (32)Tj /T1_1 1 Tf ( )Tj EMC /TH <>BDC /T1_0 1 Tf -6.49 -1.242 Td (2)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 273.7865 624.4193 Tm (56)Tj /T1_1 1 Tf ( )Tj EMC /TD <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 339.1648 620.4582 Tm (16)Tj /T1_1 1 Tf ( )Tj EMC /TH <>BDC /T1_0 1 Tf -6.49 -1.241 Td (2)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 273.7865 610.8655 Tm (64)Tj /T1_1 1 Tf ( )Tj EMC /TD <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 341.8956 606.9144 Tm (0)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -15.58 -3.203 Td [(T)83(able)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.75 0 Td (1:)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.222 0 Td (Limits)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.13 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.39 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.639 0 Td (strength)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.953 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.139 0 Td (OCB.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -26.167 -3.024 Td [(lo)27(w)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.971 0 Td (limits)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.948 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.999 0 Td (lead)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.276 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.388 0 Td [(signi\257can)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.92 0 Td (complications)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.449 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.392 0 Td (they)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.416 0 Td (require)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.531 0 Td [(frequen)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.29 -1.242 Td [(re-k)27(eying)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.457 0 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.374 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.766 0 Td [(m)27(ultiple)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.065 0 Td (related)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.485 0 Td [(k)27(eys)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.35 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.679 0 Td (one)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.982 0 Td (large)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.596 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.427 0 Td (item.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.113 0 Td (While)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.294 -1.241 Td (limits)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.934 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.82 0 Td [(necessary)82(,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.814 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.622 0 Td [(w)27(an)28(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.596 0 Td (them)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.706 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.373 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.512 0 Td (so)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.378 0 Td (large)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.598 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.317 0 Td (they)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.401 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.82 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.93 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.821 -1.242 Td (issue)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.457 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.586 0 Td (most)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.507 0 Td (situations.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.125 0 Td (With)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.64 0 Td [(curren)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.534 0 Td [(tec)27(hnology)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.057 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.89 0 Td (limit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.446 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.446 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 433.2811 502.2651 Tm (64)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 446.5048 498.304 Tm [(b)27(ytes)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.674 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.062 -1.242 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.349 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.077 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.849 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.905 0 Td (problem,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.258 0 Td (but)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.904 0 Td (smaller)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.524 0 Td (limits)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.854 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.905 0 Td [(b)-28(e.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.964 0 Td [(Curren)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.826 0 Td (hard)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.408 0 Td (disks)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.554 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.377 -1.241 Td (store)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.515 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 158.6943 475.1675 Tm (36)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 171.978 471.2064 Tm [(b)27(ytes)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.68 0 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.288 0 Td (more,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.858 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.007 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.534 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.896 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.257 0 Td [(exp)-28(ect)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.23 0 Td (them)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.618 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.285 0 Td [(gro)27(w.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.996 0 Td [(T)82(o)-26(da)26(y)84(,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.329 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.21 -1.242 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.125 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.899 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.343 0 Td (all)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.51 0 Td (unreasonable)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.128 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.651 0 Td (someone)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.126 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.342 0 Td [(w)26(an)28(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.565 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.343 0 Td (protect)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.568 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.954 0 Td [(bac)27(kup)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.564 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.26 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.378 -1.241 Td (database)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.245 0 Td [(con)27(taining)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.933 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.906 0 Td [(T)82(erab)28(yte)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.27 0 Td (\(2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 292.0816 448.0699 Tm (40)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 305.4754 444.1088 Tm [(b)28(ytes\))]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.077 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.212 0 Td (data.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.883 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.868 0 Td (practical)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.187 0 Td (reasons)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.692 -1.242 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.011 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.34 0 Td [(migh)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.922 0 Td [(v)26(ery)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.259 0 Td [(w)27(ell)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.089 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.422 0 Td (split)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.29 0 Td [(in)27(to)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.088 0 Td [(sev)27(eral)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.348 0 Td (`messages',)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.149 0 Td (but)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.894 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.062 0 Td [(w)27(ould)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.977 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.851 -1.241 Td (highly)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.032 0 Td (desirable)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.18 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.226 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.732 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.837 0 Td (single)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.788 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.81 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.226 0 Td (secure)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.013 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.726 0 Td (whole)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.838 0 Td (database.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.574 0 Td (In)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.254 0 Td (future)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.236 -1.242 Td (databases)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.57 0 Td (will)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.893 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.198 0 Td (get)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.67 0 Td (bigger.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.403 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.059 0 Td [(CTR-CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 7.698 0 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.698 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.837 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.365 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.287 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.678 -1.241 Td [(an)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.006 0 Td [(amoun)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.756 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.256 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.395 0 Td (up)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.56 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.339 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 265.5442 393.8648 Tm (64)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 279.4181 389.9137 Tm [(blo)-27(c)26(ks,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.456 0 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.341 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 337.2142 393.8648 Tm (68)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 351.0881 389.9137 Tm [(b)27(ytes.)]TJ EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 379.0359 393.8648 Tm (4)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 392.4297 389.9137 Tm [(F)83(ull)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.13 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -26.563 -1.242 Td (strength)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.953 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.005 0 Td [(main)26(tained)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.195 0 Td (throughout.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -10.153 -1.672 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.234 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.957 0 Td (where)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.843 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.492 0 Td (di\256ers.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.353 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.007 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.79 0 Td [(attac)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.401 0 Td (limit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.341 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.673 0 Td [(e\256ectiv)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.812 0 Td [(authen)27(ti\311)]TJ -28.903 -1.242 Td (cation)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.931 0 Td (strength)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.883 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.07 0 Td (OCB.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.75 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.986 0 Td (parameter)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.706 0 Td (\277)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.814 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.097 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.471 0 Td [(allo)26(ws)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.909 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.764 0 Td (trade-o\256)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.961 0 Td [(b)-28(et)27(w)28(een)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.342 -1.241 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.868 0 Td (expansion)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.669 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.968 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.746 0 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.755 0 Td [(lev)27(el)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.301 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.164 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.746 0 Td [(authen)27(tication.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 7.1 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.819 0 Td [(an)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.902 0 Td (\277)Tj /T1_0 1 Tf 0.55 0 Td (,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.588 -1.242 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.122 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.127 0 Td (reasonable)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.02 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.344 0 Td [(exp)-28(ect)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.289 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.288 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.844 0 Td [(probabilit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.237 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.261 0 Td (succeeding)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.072 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.288 0 Td (forging)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.487 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.379 -1.241 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.872 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.034 0 Td (around)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.42 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 222.082 307.8807 Tm (\241)Tj /T1_5 1 Tf (\277)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 233.8453 303.9196 Tm (.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.806 0 Td [(F)83(or)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.823 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.569 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.979 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.222 0 Td (holds)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.644 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.256 0 Td (long)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.194 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.255 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.751 0 Td [(amoun)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.667 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.067 -1.242 Td (information)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.367 0 Td (encrypted)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.589 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.226 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.781 0 Td (single)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.731 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.753 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.953 0 Td (less)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.792 0 Td (than)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.282 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 376.4252 294.3269 Tm (64)Tj /T1_4 1 Tf (\241)Tj /T1_5 1 Tf [(\277)-115(=)]TJ /T1_3 1 Tf (2)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 408.1941 290.3658 Tm [(blo)-27(c)27(ks.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.403 0 Td (Another)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.28 -1.241 Td [(w)27(a)28(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.989 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.183 0 Td (phrase)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.136 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.912 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.966 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.127 0 Td (if)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.878 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 264.2438 280.7831 Tm (n)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 273.0963 276.822 Tm [(blo)-27(c)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.993 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.1 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.24 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.63 0 Td [(pro)-28(cessed)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.447 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.239 0 Td (OCB,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.781 0 Td (then)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.928 -1.242 Td (then)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.308 0 Td (\277)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.915 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.035 0 Td [(e\256ectiv)27(ely)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.698 0 Td (limited)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.42 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.253 0 Td (128)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 1.739 0 Td (\241)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.02 0 Td (2)Tj /T1_2 1 Tf 0.5 0 Td (n)Tj /T1_0 1 Tf (.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.414 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.087 0 Td (results)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.211 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.7 0 Td [(sho)27(wn)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.064 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.198 0 Td (table)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.531 0 Td (1.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.093 -1.241 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.246 0 Td (table)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.463 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.796 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.324 0 Td [(in)27(terpreted)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.107 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.129 0 Td [(sev)27(eral)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.25 0 Td [(w)27(a)28(ys.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.798 0 Td (If)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.963 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 361.1709 253.6755 Tm (24)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 373.3644 249.7244 Tm [(blo)-27(c)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.995 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.102 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.241 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.632 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.185 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.841 -1.242 Td [(pro)-28(cessed,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.742 0 Td (then)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.25 0 Td (\277)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.857 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.978 0 Td (limited)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.363 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.195 0 Td (80.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.714 0 Td (A)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.057 0 Td (larger)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.808 0 Td (\277)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.856 0 Td [(do)-28(es)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.229 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.752 0 Td [(impro)27(v)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.781 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.696 0 Td [(securit)27(y)83(.)]TJ /T1_1 1 Tf ( )Tj 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2.425 0 Td [(F)81(erguson)]TJ EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 342.5057 626.6699 Tm (\244)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 11.9533 0 0 11.9533 259.0323 593.1806 Tm [(F)81(ebruary)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.175 0 Td (11,)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.577 0 Td (2002)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf 9.9628 0 0 9.9628 283.2091 536.2546 Tm (Abstract)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf -13.062 -1.997 Td [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.799 0 Td [(sho)27(w)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.555 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.244 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.917 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.527 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.747 0 Td (quite)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.605 0 Td [(e\256ectiv)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.939 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.466 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.8 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_5 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/T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.844 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.283 0 Td [(b)-27(e)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf -29.497 -1.2 Td (limited)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.384 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.162 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.718 0 Td [(amoun)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.635 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.134 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.274 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.996 0 Td [(pro)-28(cesses.)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.712 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.278 0 Td (restriction)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.785 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.001 0 Td [(relev)55(an)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf -27.079 -1.201 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.186 0 Td (real-life)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.552 0 Td (applications,)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 5.811 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.909 0 Td (casts)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.42 0 Td (doubt)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.854 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.354 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.687 0 Td (wisdom)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.581 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.104 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.581 0 Td (OCB.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf -28.039 -2.06 Td [(Keyw)27(ords:)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 5.008 0 Td (OCB,)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.819 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.639 0 Td (cipher)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.002 0 Td [(mo)-28(de,)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.972 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.839 0 Td [(attac)26(k)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_6 1 Tf 14.344 0 0 14.344 125.7951 408.939 Tm (1)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 1.688 0 Td [(In)31(tro)-31(duction)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf 10.9131 0 0 10.9131 125.7951 379.8909 Tm (OCB)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.527 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.991 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.819 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.624 0 Td (cipher)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.988 0 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.68 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.152 0 Td [(pro)27(vides)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.939 0 Td [(b)-27(oth)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.347 0 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.962 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.93 0 Td [(authen)27(tica\311)]TJ -27.959 -1.242 Td (tion)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.082 0 Td ([RBBK01b,)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 5.403 0 Td (RBBK01a].)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 5.511 0 Td (It)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.111 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.81 0 Td [(b)-28(een)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.388 0 Td (submitted)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.755 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.249 0 Td (NIST)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.749 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.255 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.86 0 Td [(prop)-28(osal)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf -29.173 -1.241 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.47 0 Td (standardisation,)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 7.299 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.885 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.945 0 Td [(b)-28(eing)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.635 0 Td (considered)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.837 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.471 0 Td (inclusion)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.112 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.106 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.663 0 Td (IEEE)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.676 0 Td (802.11)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf -30.099 -1.242 Td (wireless)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.686 0 Td [(net)27(w)28(ork)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.814 0 Td (standard.)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.582 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.061 0 Td (main)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.506 0 Td [(adv)55(an)28(tage)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.728 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.145 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.547 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.011 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.172 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.006 0 Td [(pro)27(vides)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf -29.258 -1.241 Td [(b)-28(oth)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.327 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 6.604 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.91 0 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.94 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.188 0 Td [(ab)-28(out)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.827 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.688 0 Td (same)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.471 0 Td (cost)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.026 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.193 0 Td (CBC)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.452 0 Td (encryp\311)Tj -29.626 -1.242 Td (tion.)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.444 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.283 0 Td [(mak)27(es)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.005 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.54 0 Td [(signi\257can)26(tly)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 5.561 0 Td (faster)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.758 0 Td (then)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.278 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.832 0 Td [(com)26(bination)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 5.694 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.139 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.833 0 Td (classical)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf -29.367 -1.242 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 4.985 0 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.704 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.954 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.4 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 6.648 0 Td [(mo)-28(de.)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.113 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.552 0 Td (comes)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 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1 Tf 5.639 0 Td [(o)26(v)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.22 0 Td (GF\(2\).)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.67 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.133 0 Td [(primitiv)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 7.9722 0 0 7.9722 311.5471 644.3649 Tm (128)Tj /T1_1 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 327.1714 640.4038 Tm (+)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1 0 Td (x)Tj EMC /P <>BDC /T1_0 1 Tf -19.453 0 Td [(p)-28(olynomial)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.167 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.283 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.223 0 Td (de\257ne)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.889 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td (\257eld)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.167 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.999 0 Td (x)Tj EMC /StyleSpan <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 344.3162 644.3649 Tm (7)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 351.4782 640.4038 Tm (+)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.999 0 Td 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552.3791 Tm (i)Tj /T1_0 1 Tf 10.9131 0 0 10.9131 333.9733 554.0096 Tm (\))Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -5.651 -1.515 Td (C)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 280.1083 535.8445 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 286.5201 537.475 Tm (:=)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.333 0 Td (Y)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 307.3959 535.8445 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 313.1975 537.475 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1 0 Td (Z)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 331.5527 535.8445 Tm (i)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 125.7951 512.9681 Tm (where)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.855 0 Td (C)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 164.746 511.3276 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 171.3778 512.9681 Tm (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.969 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.687 0 Td (ciphertext)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.716 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.603 0 Td [(corresp)-27(onding)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.392 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.181 0 Td (M)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 373.4644 511.3276 Tm (i)Tj /T1_0 1 Tf 10.9131 0 0 10.9131 376.8453 512.9681 Tm (.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.71 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.02 0 Td (last)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.858 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.602 0 Td (M)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 465.8903 511.3276 Tm (m)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 477.1234 512.9681 Tm (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.193 -1.242 Td (treated)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.477 0 Td [(di\256eren)26(tly)84(,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.986 0 Td [(b)-28(ecause)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.731 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.03 0 Td [(migh)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.892 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.391 0 Td (shorter)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.431 0 Td (than)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.363 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.864 0 Td (full)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.78 0 Td [(blo)-28(c)27(k.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.118 0 Td (Let)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.809 0 Td (\271)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.966 0 Td [(b)-27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.838 -1.241 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td (length)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.055 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.138 0 Td (M)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 200.9261 484.2301 Tm (m)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 212.5493 485.8705 Tm (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.166 0 Td (bits,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.228 0 Td [(enco)-28(ded)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.862 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.227 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.833 0 Td (128-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.39 0 Td [(in)27(teger.)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_6 1 Tf 7.9722 0 0 7.9722 296.0327 465.8649 Tm (\241)Tj /T1_5 1 Tf (1)Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 235.2857 461.3637 Tm (X)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 244.3282 459.7232 Tm (m)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 255.3413 461.3637 Tm (:=)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.334 0 Td (\271)Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 0.824 0 Td (\251)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1 0 Td (x)Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 1.83 0 Td (\242)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.5 0 Td (L)Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 0.903 0 Td (\251)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.999 0 Td (Z)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 343.436 459.7232 Tm (m)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 237.9965 444.819 Tm (Y)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 244.3282 443.1886 Tm (m)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 255.3413 444.819 Tm (:=)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.334 0 Td (E)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 277.9476 443.1385 Tm (K)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 286.1499 444.819 Tm (\()Tj /T1_2 1 Tf (X)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 299.4237 443.1886 Tm (m)Tj /T1_0 1 Tf 10.9131 0 0 10.9131 307.4159 444.819 Tm (\))Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -6.496 -1.515 Td (C)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 244.3282 426.6439 Tm (m)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 255.3413 428.2844 Tm (:=)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.334 0 Td (M)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 280.4784 426.6439 Tm (m)Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 290.8913 428.2844 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.999 0 Td (\257rst-)Tj /T1_2 1 Tf 2.063 0 Td (\271)Tj /T1_0 1 Tf 0.602 0 Td (-bits\()Tj /T1_2 1 Tf 2.338 0 Td (Y)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 362.7314 426.6439 Tm (m)Tj /T1_0 1 Tf 10.9131 0 0 10.9131 370.7236 428.2844 Tm (\))Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -22.444 -2.676 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.055 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.639 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.005 0 Td [(pro)27(vided)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.114 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.389 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.833 0 Td (tag)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.723 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.166 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.005 0 Td (computed)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.612 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.166 0 Td [(t)27(w)27(o)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.889 0 Td (steps:)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -20.199 -2.246 Td (S)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.949 0 Td (:=)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.333 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 252.9106 372.9389 Tm (1)Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 260.0626 374.5694 Tm [(\251)-222(\242)]TJ /T1_1 1 Tf ( )Tj /T1_4 1 Tf 1.445 0 Td [(\242)-166(\242)-223(\251)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.943 0 Td (M)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 307.616 372.9389 Tm (m)Tj /T1_6 1 Tf (\241)Tj /T1_5 1 Tf 1.767 0 Td (1)Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 328.8519 374.5694 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1 0 Td (C)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 347.5571 372.9389 Tm (m)Tj /T1_0 1 Tf 10.9131 0 0 10.9131 355.5494 374.5694 Tm (0)Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 7.9722 0 0 7.9722 361.0009 379.0806 Tm (\244)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf 10.9131 0 0 10.9131 368.1629 374.5694 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.999 0 Td (Y)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 385.3977 372.9389 Tm (m)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 216.8605 358.0347 Tm (T)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.001 0 Td (:=)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.333 0 Td (\257rst-)Tj /T1_2 1 Tf 2.063 0 Td (\277)Tj /T1_0 1 Tf 0.55 0 Td (-bits\()Tj /T1_2 1 Tf 2.338 0 Td (E)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 304.4151 356.3443 Tm (K)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 312.6174 358.0347 Tm (\()Tj /T1_2 1 Tf (S)Tj /T1_0 1 Tf 1.06 0 Td (\))Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 0.61 0 Td (\251)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1 0 Td (Z)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 349.1976 356.3943 Tm (m)Tj /T1_0 1 Tf 10.9131 0 0 10.9131 357.1898 358.0347 Tm (\))Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -21.203 -2.246 Td (where)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.915 0 Td (C)Tj /T1_3 1 Tf 7.9722 0 0 7.9722 165.3961 331.8874 Tm (m)Tj /T1_0 1 Tf 10.9131 0 0 10.9131 173.3884 333.5279 Tm (0)Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 7.9722 0 0 7.9722 178.8399 337.489 Tm (\244)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 187.4623 333.5279 Tm (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.028 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.746 0 Td (last)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.918 0 Td (ciphertext)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.776 0 Td [(blo)-27(c)26(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.661 0 Td (padded)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.524 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.302 0 Td [(zero)-28(es)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.004 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.246 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.746 0 Td (full)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.773 0 Td (128)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.375 -1.242 Td (bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.631 0 Td (length.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.671 0 Td (\(The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.52 0 Td [(v)55(alue)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.656 0 Td (S)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.08 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.08 0 Td (called)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.909 0 Td [(\\Chec)27(ksum")]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.859 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.242 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.798 0 Td [(sp)-28(eci\257cation.\))]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.705 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.15 -1.241 Td (parameter)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.761 0 Td (\277)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.863 0 Td [(sp)-27(eci\257es)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.851 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.701 0 Td [(n)27(um)27(b)-26(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.622 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.118 0 Td (bits)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.929 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.146 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.701 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.618 0 Td (tag,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.983 0 Td [(allo)26(wing)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.292 -1.242 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.833 0 Td (tradeo\256)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.697 0 Td [(b)-28(et)27(w)27(een)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.861 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td (size)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.894 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.139 0 Td (tag)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.723 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.222 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.361 0 Td (transmitted)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.453 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.944 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.723 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -26.572 -1.241 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.816 0 Td [(lev)27(el.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.923 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.14 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.627 0 Td [(do)-28(cumen)27(tation)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.919 0 Td (suggests)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.991 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.307 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.813 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.911 0 Td (\277)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.969 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.251 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.808 0 Td (range)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf -30.475 -1.242 Td (32)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.167 0 Td [(:)-166(:)-167(:)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.333 0 Td (80.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -2.5 -1.672 Td (Although)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.432 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.557 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.848 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.377 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.298 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.294 0 Td [(an)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.905 0 Td [(blo)-27(c)26(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.653 0 Td (cipher,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.3 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.015 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.021 0 Td (clearly)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.212 0 Td (designed)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.077 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.989 -1.242 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.384 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.306 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.302 0 Td (AES,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.62 0 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.248 0 Td (some)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.529 0 Td (other)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.637 0 Td (128-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.412 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.662 0 Td (cipher.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.46 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.818 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.746 0 Td (rest)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.975 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.162 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.261 -1.241 Td (article)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.058 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.472 0 Td (will)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.889 0 Td (assume)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.455 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.167 0 Td (AES)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.319 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.005 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.284 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.227 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.639 0 Td (cipher.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_7 1 Tf 8.9625 0 0 8.9625 125.7951 200.6807 Tm [(in)28(tegers)]TJ /T1_1 1 Tf ( )Tj /T1_7 1 Tf 3.919 0 Td (0)Tj /T1_8 1 Tf 0.516 0 Td [(;)-170(:)-172(:)-171(:)-171(;)]TJ /T1_1 1 Tf ( )Tj /T1_7 1 Tf 2.285 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_9 1 Tf 5.9817 0 0 5.9817 190.6332 204.4917 Tm (n)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_10 1 Tf 8.9625 0 0 8.9625 198.4454 200.6807 Tm (\241)Tj /T1_1 1 Tf ( )Tj /T1_7 1 Tf 1.104 0 Td (1.)Tj /T1_1 1 Tf ( )Tj /T1_7 1 Tf 1.594 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_7 1 Tf 2.227 0 Td (main)Tj /T1_1 1 Tf ( )Tj /T1_7 1 Tf 2.682 0 Td [(in)28(teresting)]TJ /T1_1 1 Tf ( )Tj /T1_7 1 Tf 5.176 0 Td [(prop)-28(ert)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_7 1 Tf 4.314 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_7 1 Tf 1.147 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_8 1 Tf 2.347 0 Td (\260)Tj /T1_9 1 Tf 5.9817 0 0 5.9817 387.7484 199.6804 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_10 1 Tf 8.9625 0 0 8.9625 393.63 200.6807 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_8 1 Tf 1.104 0 Td (\260)Tj /T1_9 1 Tf 5.9817 0 0 5.9817 408.2841 199.6804 Tm (i)Tj 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( )Tj /T1_0 1 Tf 4.336 0 Td (time)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.253 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.364 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.517 0 Td (will)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.864 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.17 0 Td (help)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.141 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.697 0 Td [(paten)26(t-holders)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -26.618 -1.241 Td (sell)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.863 0 Td (their)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.528 0 Td (licenses)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.703 0 Td (without)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.858 0 Td [(an)26(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.026 0 Td (further)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.503 0 Td [(comp)-28(ensation)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.447 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.359 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.858 0 Td (cryptanalyst.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -27.145 -1.242 Td (There)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.947 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.061 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.889 0 Td [(signi\257can)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.811 0 Td (cost,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.409 0 Td [(b)-28(oth)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.418 0 Td (direct)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.892 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2 0 Td (indirect,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.017 0 Td [(asso)-28(ciated)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.817 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.334 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.595 -1.241 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.811 0 Td [(paten)27(ted)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.118 0 Td (algorithm.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.94 0 Td [(Giv)27(en)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.873 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.145 0 Td (OCB's)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.192 0 Td (computational)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.59 0 Td [(adv)55(an)28(tage)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.7 0 Td [(o)27(v)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.119 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.488 -1.242 Td [(paten)27(t-free)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.076 0 Td [(mo)-28(des)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.106 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.022 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.24 0 Td (most)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.468 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.851 0 Td (factor)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.882 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.157 0 Td (2,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.133 0 Td (there)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.576 0 Td (seem)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.468 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.24 0 Td [(b)-27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.378 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.212 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.851 0 Td (few)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.823 0 Td (sit\311)Tj -31.483 -1.242 Td (uations)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.606 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.267 0 Td [(whic)26(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.963 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.051 0 Td (cost)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.162 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.107 0 Td (justi\257ed.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.503 0 Td [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.823 0 Td (therefore)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.301 0 Td [(exp)-28(ect)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.268 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.642 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.295 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.988 -1.241 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.418 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.34 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.224 0 Td [(nic)27(he)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.641 0 Td (applications)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.618 0 Td (where)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.948 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.78 0 Td [(p)-28(erformance)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.785 0 Td [(adv)54(an)28(tage)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.779 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.063 0 Td (critical.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.596 -1.242 Td [(Th)27(us)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.516 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.704 0 Td (gain)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.149 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.205 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.704 0 Td (general)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.43 0 Td [(comm)27(unit)28(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.177 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.122 0 Td (cryptanalytical)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.873 0 Td [(w)26(ork)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.43 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.372 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.523 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.205 -1.241 Td (limited.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.764 0 Td (All)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.599 0 Td (these)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.522 0 Td (factors)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.218 0 Td (lead)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.072 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.182 0 Td (cryptanalysts)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.141 0 Td [(sp)-27(ending)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.16 0 Td (their)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.351 0 Td (time)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.238 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.349 0 Td (other)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.596 -1.242 Td [(in)27(teresting)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.924 0 Td (problems.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -4.924 -1.659 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.483 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.947 0 Td [(b)-28(eing)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.637 0 Td (considered)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.839 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.472 0 Td (inclusion)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.115 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.108 0 Td (IEEE)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.678 0 Td (802.11)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.053 0 Td (wireless)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.622 0 Td [(net)27(w)27(ork)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.751 0 Td (stan\311)Tj -30.705 -1.242 Td (dard.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.835 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.092 0 Td (author)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.262 0 Td [(w)27(as)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.958 0 Td (hired)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.595 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.259 0 Td (advise)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.07 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.426 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.759 0 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.767 0 Td [(asp)-28(ects)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.52 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.175 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.987 0 Td (stan\311)Tj -30.705 -1.242 Td (dard,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.72 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.028 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.251 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.807 0 Td (course)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.148 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.224 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.25 0 Td [(w)26(ork)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.532 0 Td (had)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.029 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.918 0 Td [(lo)-28(ok)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.251 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.307 0 Td (OCB.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.904 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.14 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.534 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.043 -1.241 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.955 0 Td [(pap)-28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.812 0 Td [(w)26(ere)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.314 0 Td [(dev)27(elop)-27(ed)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.644 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.171 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.727 0 Td (course)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.067 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.144 0 Td [(ab)-28(out)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.867 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.838 0 Td [(da)27(y)83(.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.209 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.06 0 Td (fact)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.977 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.171 0 Td [(suc)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.956 -1.242 Td (simple)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.201 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.534 0 Td [(w)27(ere)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.393 0 Td (found)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.89 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.251 0 Td [(suc)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.34 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.918 0 Td (short)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.649 0 Td (time)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.362 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.09 0 Td [(indicativ)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.64 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.251 0 Td (little,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.772 0 Td (if)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.291 -1.241 Td [(an)27(y)83(,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.115 0 Td (cryptanalysis)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.095 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.164 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.567 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.808 0 Td [(b)-28(een)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.386 0 Td (done)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.415 0 Td (up)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.469 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.247 0 Td [(no)26(w.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.548 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.309 0 Td (fact)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.997 0 Td (alone)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.636 0 Td (casts)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.756 -1.242 Td (doubts)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.283 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.389 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.723 0 Td (wisdom)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.616 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.139 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.617 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.541 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.166 0 Td [(an)26(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.89 0 Td (new)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.055 0 Td (design.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -21.419 -1.659 Td [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.873 0 Td [(presen)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.632 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.985 0 Td [(t)27(w)28(o)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.04 0 Td [(v)27(ersions)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.943 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.291 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.985 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.99 0 Td [(attac)26(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.207 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.541 0 Td (OCB.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.971 0 Td (If)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.152 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.984 0 Td (particular)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -28.594 -1.242 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.835 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.385 0 Td (128-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.385 0 Td [(v)54(alues)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.974 0 Td [(o)-27(ccurs,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.365 0 Td (then)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.275 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.385 0 Td [(attac)27(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.859 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.829 0 Td [(mo)-28(dify)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.357 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.718 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.367 -1.241 Td (without)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.769 0 Td [(b)-28(eing)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.743 0 Td (detected)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.047 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.437 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.769 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.589 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.685 0 Td (function.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.447 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.33 0 Td (implies)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.816 -1.242 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.148 0 Td (users)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.496 0 Td (who)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.093 0 Td [(w)26(an)28(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.427 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.204 0 Td (limit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.371 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.705 0 Td [(probabilit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.096 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.121 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.815 0 Td (successful)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.527 0 Td (forgery)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.376 0 Td (attempt)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.379 -1.242 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.222 0 Td (less)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.844 0 Td (than)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.334 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_2 1 Tf 7.9722 0 0 7.9722 190.1631 397.8259 Tm (\241)Tj /T1_3 1 Tf (64)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 209.3484 393.8648 Tm (cannot)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.278 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.727 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.542 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.53 0 Td (more)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.502 0 Td (than)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.334 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 366.5925 397.8259 Tm (32)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 379.196 393.8648 Tm [(blo)-27(c)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.032 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.139 0 Td (data.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf 14.344 0 0 14.344 125.7951 355.2039 Tm (2)Tj /T1_1 1 Tf ( )Tj /T1_4 1 Tf 1.688 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 125.7951 326.2858 Tm [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.651 0 Td (\257rst)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.993 0 Td [(giv)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.985 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.762 0 Td (short)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.494 0 Td (description)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.048 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.069 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.47 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.545 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.652 0 Td (notation)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.929 0 Td (from)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.294 0 Td ([RBBK01a])Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -27.892 -1.241 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.298 0 Td (some)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.525 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.159 0 Td (our)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.8 0 Td [(o)27(wn)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.103 0 Td (extensions.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.264 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.561 0 Td (encrypts)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.056 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.853 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.855 0 Td (M)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.432 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.635 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.853 0 Td [(k)26(ey)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf -31.394 -1.242 Td (K)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.291 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.98 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.87 0 Td (nonce)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.869 0 Td (N)Tj /T1_0 1 Tf 0.912 0 Td (.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.832 0 Td [(Eac)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.523 0 Td (nonce)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.87 0 Td [(v)55(alue)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.62 0 Td (should)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.209 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.398 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.319 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.259 0 Td (most)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.487 0 Td (once)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.314 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.567 0 Td [(an)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.319 -1.241 Td [(giv)27(en)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.611 0 Td [(k)26(ey)84(.)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -2.611 -1.66 Td [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td (de\257ne)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf 11.068 -2.089 Td (L)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.958 0 Td (:=)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.333 0 Td (E)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 298.4234 243.0425 Tm (K)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 306.6257 244.733 Tm (\(0\))Tj /T1_1 1 Tf (\002 )Tj /T1_5 1 Tf -3.867 -1.516 Td (R)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.045 0 Td (:=)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.333 0 Td (E)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 298.4234 226.4979 Tm (K)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 306.6257 228.1884 Tm (\()Tj /T1_5 1 Tf (N)Tj /T1_1 1 Tf ( )Tj /T1_7 1 Tf 1.523 0 Td (\251)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.999 0 Td (L)Tj /T1_0 1 Tf (\))Tj /T1_1 1 Tf (\002 )Tj EMC /P <>BDC /T1_0 1 Tf -19.093 -2.089 Td (Both)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.467 0 Td (L)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.94 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.925 0 Td (R)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.051 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.65 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.265 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.203 0 Td [(deriv)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.928 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.703 0 Td [(v)54(arious)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.407 0 Td (o\256sets.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.421 0 Td (Let)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.765 0 Td (\260)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 401.2622 203.7515 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 408.0741 205.392 Tm [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.342 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.704 0 Td (represen\311)Tj -28.912 -1.242 Td (tation)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.946 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.141 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.724 0 Td [(in)27(teger)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.306 0 Td (i)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.679 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.168 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.724 0 Td (canonical)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.391 0 Td [(Gra)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.511 0 Td [(co)-28(de.)]TJ EMC /StyleSpan <>BDC /T1_3 1 Tf 7.9722 0 0 7.9722 364.1018 195.7993 Tm (1)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 373.7345 191.8382 Tm (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.057 0 Td (o\256set)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.645 0 Td (Z)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 432.4909 190.2077 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 439.5229 191.8382 Tm (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.007 0 Td (de\257ned)Tj /T1_1 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_8 1 Tf 5.9817 0 0 5.9817 138.2385 176.4639 Tm (1)Tj EMC /P <>BDC /T1_9 1 Tf 8.9625 0 0 8.9625 142.3897 172.6528 Tm (The)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 2.199 0 Td [(Gra)28(y)]TJ /T1_1 1 Tf ( )Tj /T1_9 1 Tf 2.664 0 Td [(co)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_9 1 Tf 2.456 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 1.119 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 1.514 0 Td [(alternativ)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_9 1 Tf 5.228 0 Td [(bijectiv)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_9 1 Tf 4.169 0 Td (mapping)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 4.312 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 1.256 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 1.857 0 Td (bit)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 1.684 0 Td (strings)Tj /T1_1 1 Tf ( )Tj /T1_10 1 Tf 3.426 0 Td (f)Tj /T1_9 1 Tf (0)Tj /T1_11 1 Tf 1.028 0 Td (;)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 0.458 0 Td (1)Tj /T1_10 1 Tf 0.513 0 Td (g)Tj EMC /StyleSpan <>BDC /T1_12 1 Tf 5.9817 0 0 5.9817 450.676 176.4639 Tm (n)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_9 1 Tf 8.9625 0 0 8.9625 459.6185 172.6528 Tm (to)Tj /T1_1 1 Tf ( )Tj /T1_9 1 Tf 1.342 0 Td (the)Tj /T1_1 1 Tf ( )Tj EMC /Artifact <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 302.3945 142.7745 Tm (2)Tj /T1_1 1 Tf ( )Tj EMC ET endstream endobj 125 0 obj <>/Border[0 0 0]/C[0.0 1.0 0.0]/P 5 0 R/Rect[292.188 177.227 376.905 184.067]/StructParent 17/Subtype/Link/Type/Annot>> endobj 516 0 obj <> endobj 159 0 obj <> endobj 189 0 obj <> endobj 190 0 obj <> endobj 191 0 obj <> endobj 517 0 obj <> endobj 195 0 obj <> endobj 196 0 obj <> endobj 197 0 obj <> endobj 198 0 obj <> endobj 199 0 obj <> endobj 519 0 obj <> endobj 518 0 obj <> endobj 192 0 obj <> endobj 472 0 obj <> endobj 520 0 obj <> endobj 528 0 obj <> endobj 529 0 obj <> endobj 530 0 obj <> endobj 531 0 obj <> endobj 532 0 obj <> endobj 533 0 obj <> endobj 534 0 obj <> endobj 535 0 obj <> endobj 536 0 obj <> endobj 537 0 obj <> endobj 538 0 obj <> endobj 539 0 obj <> endobj 540 0 obj <> endobj 541 0 obj <> endobj 684 0 obj <> endobj 685 0 obj <> endobj 686 0 obj <> endobj 687 0 obj <> endobj 688 0 obj <> endobj 689 0 obj <> endobj 690 0 obj <> endobj 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> endobj 91 0 obj <>/ProcSet[/PDF/Text]>>/StructParents 9/Tabs/S/Type/Page>> endobj 804 0 obj <>stream BT /Span <>BDC 0 g /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 11.9533 0 0 11.9533 125.7951 701.0808 Tm (5.2)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf 2.563 0 Td (A)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.225 0 Td (suggested)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.102 0 Td [(CTR-CBC-MA)30(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 8.682 0 Td [(mo)-31(de)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 125.7951 675.7837 Tm [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.635 0 Td [(giv)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.969 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.747 0 Td (rough)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.75 0 Td [(sp)-28(eci\257cation)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.614 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.053 0 Td [(CTR-CBC-MA)27(C:)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 7.886 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.747 0 Td [(com)27(bination)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.608 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.053 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.636 0 Td (CTR)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -30.698 -1.241 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.037 0 Td [(mo)-27(de)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.755 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.34 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.784 0 Td [(CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.242 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 6.7 0 Td [(mo)-28(de.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.268 0 Td (This)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.344 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.067 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.84 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -32.377 -1.242 Td (complete)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.172 0 Td [(sp)-28(eci\257cation)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.65 0 Td (but)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.783 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.144 0 Td [(in)27(tended)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.033 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.48 0 Td (comparison)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.236 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.172 0 Td (OCB.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.769 0 Td (It)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.033 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.955 0 Td (based)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -30.427 -1.241 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.389 0 Td ([WHF02].)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -1.389 -1.673 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.178 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 3.967 0 Td (M)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.535 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.128 0 Td (split)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.352 0 Td [(in)27(to)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.151 0 Td [(blo)-27(c)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_3 1 Tf 3.154 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 316.0583 615.2567 Tm (1)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 320.7896 616.8872 Tm [(;)-166(:)-167(:)-166(:)-167(;)-167(M)]TJ /T1_5 1 Tf 7.9722 0 0 7.9722 355.6194 615.2567 Tm (m)Tj /T1_2 1 Tf 10.9131 0 0 10.9131 363.6016 616.8872 Tm (,)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.765 0 Td (where)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.015 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.845 0 Td (last)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.018 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.762 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -32.196 -1.241 Td (padded)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.561 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.34 0 Td (0)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.894 0 Td [(b)27(ytes)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.679 0 Td (if)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.977 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.062 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.066 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.84 0 Td (full-size.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.217 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.116 0 Td (nonce)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.884 0 Td (N)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.307 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.591 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.011 0 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.755 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.067 0 Td (8)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -32.367 -1.242 Td [(b)27(ytes)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.617 0 Td (long.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -2.617 -1.672 Td (First)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.493 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.777 0 Td [(CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.235 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.06 0 Td (computed)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.665 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.444 0 Td (starting)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.785 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.332 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.777 0 Td (128-bit)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.444 0 Td [(v)55(alue)]TJ /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.625 0 Td (V)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.173 0 Td (:=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf -31.81 -1.241 Td (N)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 1.194 0 Td (k)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.783 0 Td (0)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 0.782 0 Td (k)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.782 0 Td (`)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.841 0 Td (where)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.981 0 Td (`)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.84 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.095 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.813 0 Td (length)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.146 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.227 0 Td (M)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.501 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.257 0 Td [(b)27(ytes)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.707 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 2.033 0 Td (k)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.923 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.095 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.813 0 Td (concatenation)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -26.813 -1.242 Td [(op)-28(erator.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.636 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.127 0 Td [(MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.766 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.076 0 Td (computed)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.683 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.46 0 Td (setting)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 3.346 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 354.129 542.8165 Tm (0)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 363.1815 544.4469 Tm (:=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.451 0 Td (V)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.21 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.015 0 Td (de\257ning)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 3.848 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 465.2301 542.8165 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 472.9422 544.4469 Tm (:=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf -31.81 -1.241 Td (E)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 133.8473 529.2126 Tm (K)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 142.0496 530.9031 Tm (\()Tj /T1_3 1 Tf (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 155.3333 529.2627 Tm (i)Tj /T1_7 1 Tf 0.361 0 Td (\241)Tj /T1_4 1 Tf 0.827 0 Td (1)Tj /T1_2 1 Tf 10.9131 0 0 10.9131 169.5373 530.9031 Tm (\))Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 0.637 0 Td (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.025 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 198.2553 529.2627 Tm (i)Tj /T1_2 1 Tf 10.9131 0 0 10.9131 201.6363 530.9031 Tm (.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.838 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.095 0 Td (tag)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.759 0 Td (T)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.095 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.043 0 Td (de\257ned)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.484 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.266 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.761 0 Td (\257rst)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.1 0 Td (\277)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.922 0 Td (bits)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.989 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.177 0 Td (E)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 422.8082 529.2126 Tm (K)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 431.0105 530.9031 Tm (\()Tj /T1_3 1 Tf (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 444.2942 529.2627 Tm (m)Tj /T1_2 1 Tf 10.9131 0 0 10.9131 452.2764 530.9031 Tm (\).)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.227 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.144 -1.242 Td (tag)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.669 0 Td (T)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.004 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.952 0 Td [(app)-28(ended)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.476 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.17 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.67 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 3.787 0 Td (M)Tj /T1_2 1 Tf 1.079 0 Td (,)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.569 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.892 0 Td (they)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.197 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.617 0 Td [(b)-28(oth)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.31 0 Td (encrypted)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.589 0 Td (together.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -28.981 -1.672 Td (Encryption)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.107 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.901 0 Td (done)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.285 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.286 0 Td (generating)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.787 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.729 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.701 0 Td (stream)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.182 0 Td (using)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.512 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.619 0 Td [(blo)-27(c)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.918 0 Td (S)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 427.4395 497.4638 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 433.8513 499.1042 Tm (:=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.333 0 Td (E)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 456.4476 497.4137 Tm (K)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 464.6499 499.1042 Tm (\()Tj /T1_3 1 Tf (N)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 1.315 0 Td (k)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -32.366 -1.242 Td (1)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 0.745 0 Td (k)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.745 0 Td (i)Tj /T1_2 1 Tf (\).)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.559 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.09 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.84 0 Td (stream)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.321 0 Td [(b)27(ytes)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.652 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.703 0 Td (xorred)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.179 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.313 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.757 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.879 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.979 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.756 0 Td (tag.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.215 0 Td (As)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.733 -1.241 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.945 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.828 0 Td (stream)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.282 0 Td (cipher)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.997 0 Td (no)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.384 0 Td (padding)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.828 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.134 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.718 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.839 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1 0 Td (necessary;)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.705 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.717 0 Td (padding)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -29.377 -1.242 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.005 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.194 0 Td (used)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.284 0 Td [(in)27(ternally)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.502 0 Td [(b)26(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.39 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.722 0 Td [(CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.181 0 Td (part.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -18.278 -1.672 Td (There)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.798 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.912 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.74 0 Td [(pro)-28(of)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.521 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.046 0 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.637 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.437 0 Td [(CTR-CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 7.601 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.073 0 Td [(ac)26(hiev)28(es)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.774 0 Td (similar)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.193 0 Td [(b)-28(ounds)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -29.732 -1.241 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.249 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.564 0 Td ([Jon02].)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.915 0 Td (As)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.499 0 Td [(alw)27(a)27(ys)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.222 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.973 0 Td [(pro)-28(of)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.636 0 Td [(giv)26(es)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.473 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.856 0 Td [(lo)27(w)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.636 0 Td [(b)-28(ound)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.107 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.411 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.745 0 Td [(securit)27(y)83(.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -29.286 -1.242 Td [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.722 0 Td [(b)-28(eliev)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.305 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.166 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.723 0 Td (resistance)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.569 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.222 0 Td (forgery)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.395 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.005 0 Td (actually)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.805 0 Td [(m)26(uc)28(h)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.667 0 Td (higher.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -25.579 -1.672 Td (All)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.587 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.671 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.397 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.338 0 Td [(CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.128 0 Td (require)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.315 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.114 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.67 0 Td [(attac)26(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.812 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.782 0 Td (detect)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.948 0 Td (when)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.559 0 Td [(t)26(w)28(o)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.321 -1.241 Td [(MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.751 0 Td [(v)55(alues)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.034 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.726 0 Td [(iden)27(tical.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.586 0 Td (Encrypting)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.268 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.779 0 Td [(MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.751 0 Td [(v)55(alue)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.64 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.223 0 Td [(suc)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.312 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.889 0 Td [(w)26(a)28(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.085 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.044 -1.242 Td (equal)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.677 0 Td [(v)55(alues)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.015 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.871 0 Td (no)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.427 0 Td (longer)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.04 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.399 0 Td (recognised)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.879 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.265 0 Td [(b)-28(eing)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.733 0 Td (equal)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.677 0 Td (stops)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.604 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.76 0 Td [(attac)27(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -29.347 -1.242 Td (from)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.319 0 Td [(p)-28(erforming)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.072 0 Td [(an)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.844 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.094 0 Td (these)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.516 0 Td [(attac)27(ks.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.823 0 Td (As)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.432 0 Td (far)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.485 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.182 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.426 0 Td (are)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.624 0 Td [(a)26(w)28(are,)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.078 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.905 0 Td (stops)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.521 0 Td [(an)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.321 -1.241 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.084 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.667 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 161.255 344.631 Tm (64)Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 170.2275 340.6699 Tm (-e\256ort)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.919 0 Td [(attac)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.395 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.889 0 Td (requires)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.706 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.667 0 Td [(attac)27(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.808 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.167 0 Td [(p)-28(erform)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.729 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 418.7371 344.631 Tm (128)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 434.9716 340.6699 Tm [(op)-27(erations)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -28.331 -1.242 Td [(b)-28(efore)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.979 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.698 0 Td (\257rst)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.039 0 Td [(forgery)82(.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.692 0 Td (\(See)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.142 0 Td ([JJV02])Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.642 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.506 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.809 0 Td (similar)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.262 0 Td (solution)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.759 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.198 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.926 0 Td (problem.\))Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -28.652 -1.241 Td (Just)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.321 0 Td [(lik)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.966 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.301 0 Td (OCB,)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.954 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.857 0 Td (addition)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.078 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.274 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.857 0 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.11 0 Td (function)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.051 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.918 0 Td (made)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.801 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.488 -1.242 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 6.638 0 Td [(m)26(uc)28(h)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.667 0 Td (stronger.)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf 11.9533 0 0 11.9533 125.7951 266.109 Tm (5.3)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_0 1 Tf 2.563 0 Td (Comparison)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 125.7951 240.8219 Tm (One)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.207 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.234 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.818 0 Td (main)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.596 0 Td [(to)-28(ols)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.517 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.318 0 Td [(prev)27(en)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.682 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.935 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.545 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.101 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.318 0 Td (limit)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.484 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.818 0 Td [(amoun)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -29.573 -1.242 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.269 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.408 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.297 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.135 0 Td [(ev)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.244 0 Td [(pro)-27(cessed)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.616 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.408 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.963 0 Td (single)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.914 0 Td [(k)27(ey)83(.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.501 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.925 0 Td (example,)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.357 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.66 0 Td (CTR)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -30.697 -1.241 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.92 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.667 0 Td [(amoun)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.584 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.085 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.223 0 Td (encrypted)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.586 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.223 0 Td [(eac)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.195 0 Td [(k)26(ey)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.751 0 Td (should)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.117 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.306 0 Td (limited)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.334 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.991 -1.242 Td (2)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 131.2566 204.1317 Tm (64)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 143.1499 200.1705 Tm [(blo)-27(c)27(ks,)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.258 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.157 0 Td [(whic)26(h)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.797 0 Td [(p)-28(oin)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.547 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.657 0 Td (information-theoretical)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.303 0 Td [(leak)55(age)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.407 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.074 0 Td (information)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -27.79 -1.241 Td [(ab)-28(out)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.928 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.788 0 Td [(plain)27(text)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.288 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.071 0 Td (still)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.016 0 Td [(b)-28(elo)27(w)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.899 0 Td (one)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.899 0 Td (bit.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.141 0 Td (Limiting)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.135 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.788 0 Td [(amoun)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.705 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.205 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.344 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -32.207 -1.242 Td [(relativ)27(ely)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.262 0 Td (easy)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.1 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.121 0 Td (do)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.289 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.126 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.622 0 Td [(implemen)27(tation)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 7.037 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.733 0 Td (enforce)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.318 0 Td [(suc)27(h)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.155 0 Td (limits.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.138 0 Td [(Ho)26(w)28(ev)28(er,)]TJ /T1_1 1 Tf ( )Tj EMC /Artifact <>BDC /T1_2 1 Tf -12.719 -2.776 Td (9)Tj /T1_1 1 Tf ( )Tj EMC ET endstream endobj 120 0 obj <> endobj 83 0 obj <>/ProcSet[/PDF/Text]>>/StructParents 7/Tabs/S/Type/Page>> endobj 87 0 obj <>/ProcSet[/PDF/Text]>>/StructParents 8/Tabs/S/Type/Page>> endobj 806 0 obj <>stream /Artifact <>BDC q 1.00028 0 0 1.00028 72 769.82 cm 0 G 0.4 w q 1 0 0 1 53.78 -498.77 cm 0 0 m 143.42 0 l S Q Q EMC BT /P <>BDC 0 g /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 10.9131 0 0 10.9131 125.7951 701.0808 Tm (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.121 0 Td (will)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.844 0 Td [(surviv)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.379 0 Td [(sev)26(eral)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.242 0 Td (decades)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.627 0 Td [([L)110(V01].)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.527 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.01 0 Td [(mo)26(v)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.538 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.177 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.905 0 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.686 0 Td [(lev)27(el)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.232 0 Td [(w)27(as)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.288 -1.242 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.73 0 Td [(ma)-55(jor)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.926 0 Td [(motiv)55(ation)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.035 0 Td [(b)-28(ehind)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.314 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.73 0 Td (whole)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.84 0 Td (AES)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.327 0 Td (standardisation)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 7.077 0 Td [(pro)-28(cess.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.897 0 Td (DES)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.876 -1.241 Td ([NIS93])Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.496 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.947 0 Td (limited)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.33 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.331 0 Td (its)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.335 0 Td (56-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.831 0 Td [(k)27(ey)83(,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.953 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.886 0 Td (3DES)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.774 0 Td ([NIS99])Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.496 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.947 0 Td (limited)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.33 0 Td [(b)26(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.331 0 Td (its)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.336 0 Td (64-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.323 -1.242 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.679 0 Td (size.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.407 0 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.096 0 Td (larger)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.88 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.68 0 Td (size)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.935 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.985 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.764 0 Td (larger)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.88 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.846 0 Td (sizes)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.33 0 Td [(allo)27(w)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.624 0 Td (AES-based)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -28.106 -1.241 Td (systems)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.711 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.222 0 Td [(ac)26(hiev)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.472 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.834 0 Td (far)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.53 0 Td (higher)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.058 0 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.731 0 Td [(lev)27(el)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.277 0 Td (than)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.334 0 Td (DES-based)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.116 0 Td (ones.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -27.285 -1.673 Td (It)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.173 0 Td (turns)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.71 0 Td (out)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.868 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.313 0 Td [(b)-27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.451 0 Td [(v)27(ery)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.287 0 Td (di\261cult)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.757 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.312 0 Td [(a)27(v)27(oid)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.729 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.93 0 Td [(attac)27(ks.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.108 0 Td (There)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.982 0 Td (are,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.06 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.68 -1.241 Td (example,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.278 0 Td (fairly)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.681 0 Td (generic)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.458 0 Td (pre-computation)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 7.625 0 Td [(attac)26(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.517 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.233 0 Td [(e\256ectiv)27(ely)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.733 0 Td [(p)-28(erform)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.851 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.376 -1.242 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.908 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.125 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.458 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.791 0 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.044 0 Td [(k)26(ey)84(.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.318 0 Td (As)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.547 0 Td (stopping)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.13 0 Td (all)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.458 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.909 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.518 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.206 -1.241 Td (extremely)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.57 0 Td (di\261cult,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.909 0 Td (if)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.872 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.733 0 Td [(imp)-28(ossible,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.115 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.678 0 Td [(ob)27(vious)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.573 0 Td (solution)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.739 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.961 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.178 0 Td [(mo)27(v)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.538 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.178 0 Td (256\311)Tj -31.044 -1.242 Td (bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.672 0 Td [(v)55(alues.)]TJ EMC /StyleSpan <>BDC /T1_2 1 Tf 7.9722 0 0 7.9722 175.9191 578.3964 Tm (2)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 189.3228 574.4353 Tm (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.172 0 Td (256-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.506 0 Td [(k)27(ey)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.922 0 Td [(capabilit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.728 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.256 0 Td (AES)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.436 0 Td [(mak)26(es)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.123 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.117 0 Td (easy)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.317 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.339 0 Td [(ac)27(hiev)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.737 -1.241 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.766 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_2 1 Tf 7.9722 0 0 7.9722 150.522 564.8426 Tm (128)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 167.8368 560.8915 Tm (e\256ort)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.684 0 Td [(b)-28(ound.)]TJ EMC /StyleSpan <>BDC /T1_2 1 Tf 7.9722 0 0 7.9722 230.1543 564.8426 Tm (3)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 241.1674 560.8915 Tm [(Unfortunately)83(,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.724 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.766 0 Td (128-bit)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.433 0 Td [(blo)-28(c)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.683 0 Td (size)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.938 0 Td (still)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.994 0 Td [(supp)-27(orts)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.11 -1.242 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.983 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.593 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.422 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.977 0 Td [(complexit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.227 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.283 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_2 1 Tf 7.9722 0 0 7.9722 321.98 551.2988 Tm (64)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 336.1539 547.3377 Tm (steps.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.33 0 Td [(Th)26(us,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.991 0 Td (careful)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.397 0 Td (design)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.205 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.199 -1.241 Td (necessary)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.43 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.222 0 Td [(ac)26(hiev)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.472 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.723 0 Td (full)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.75 0 Td [(securit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.73 0 Td (required.)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_3 1 Tf 11.9533 0 0 11.9533 125.7951 499.8844 Tm (5.1)Tj /T1_1 1 Tf ( )Tj EMC /Span <>BDC /T1_3 1 Tf 2.563 0 Td (Collision)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 4.631 0 Td [(attac)30(ks)]TJ /T1_1 1 Tf ( )Tj /T1_3 1 Tf 3.851 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.563 0 Td [(CBC-MA)31(C)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 125.7951 474.5874 Tm (The)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.973 0 Td [(b)-28(est)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.063 0 Td [(kno)27(wn)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.085 0 Td [(blo)-27(c)26(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf (cipher)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.476 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.557 0 Td [(mo)-27(de)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.612 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.923 0 Td [(CBC-MA)27(C.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.377 0 Td (Pure)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.323 0 Td (CBC\311)Tj -30.389 -1.241 Td [(MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.738 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.827 0 Td [(man)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.766 0 Td [(v)26(ersions)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.836 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.183 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.883 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.493 0 Td ([BM01].)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.034 0 Td [(Ev)27(en)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.557 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.766 0 Td (addition)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.988 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.071 -1.242 Td [(v)55(arious)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.473 0 Td (padding)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.881 0 Td (rules)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.444 0 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.273 0 Td (sequence)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.192 0 Td [(n)27(um)28(b)-27(ers)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.085 0 Td (do)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.436 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.826 0 Td (stop)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.22 0 Td (these)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.608 0 Td [(attac)26(ks.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.981 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.419 -1.242 Td [(CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.133 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.675 0 Td (critical)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.288 0 Td (parameter)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.736 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.958 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.731 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.675 0 Td [(amoun)27(t)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.592 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.091 0 Td (data)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.231 0 Td (but)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.786 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.675 0 Td [(n)27(um)28(b)-27(er)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.571 -1.241 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.167 0 Td (messages)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.267 0 Td [(authen)27(ticated)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.333 0 Td [(b)26(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.418 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.751 0 Td (sender.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.593 0 Td [(CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.208 0 Td (forgery)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.423 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.033 0 Td [(p)-28(ossible)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.789 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.982 -1.242 Td [(so)-28(on)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.413 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.33 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.936 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.941 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.492 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.824 0 Td [(MA)26(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.797 0 Td [(v)54(alue)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.686 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.886 0 Td [(o)-28(ccurred.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.785 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.897 0 Td [(t)26(ypical)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.38 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -29.367 -1.241 Td (sizes)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.321 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.982 0 Td (implies)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.427 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.199 0 Td [(CBC-MA)27(C)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.213 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.038 0 Td (marginally)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.008 0 Td (more)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.534 0 Td (secure)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.041 0 Td (than)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.366 0 Td (OCB,)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.852 0 Td (as)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.981 -1.242 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.722 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.839 0 Td (will)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.89 0 Td [(o)-28(ccur)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.697 0 Td (earlier)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.061 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.167 0 Td (OCB.)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf -14.376 -1.672 Td (So)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.36 0 Td (far)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.501 0 Td (there)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.529 0 Td (seems)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.815 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.193 0 Td [(b)-28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.332 0 Td (little)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.36 0 Td (di\256erence)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.446 0 Td [(b)-28(et)27(w)28(een)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.832 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.512 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.915 0 Td [(CBC-MA)27(C.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.429 0 Td (But)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.224 -1.241 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.956 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.011 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.784 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.84 0 Td (fair)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.814 0 Td (comparison.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.693 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.547 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.011 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.84 0 Td [(com)27(bined)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.478 0 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.981 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.95 0 Td [(authen)26(ti\311)]TJ -28.905 -1.242 Td (cation)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.042 0 Td [(mo)-28(de,)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.025 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.987 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.042 0 Td (uses)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.165 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.875 0 Td (unique)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.293 0 Td (nonce.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.349 0 Td (If)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.042 0 Td [(w)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.514 0 Td [(lo)-28(ok)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.209 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.265 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.764 0 Td [(authen)26(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -26.572 -1.241 Td (function)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.03 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.252 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.653 0 Td [(b)26(y)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.502 0 Td (itself)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.535 0 Td (\(without)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.224 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.835 0 Td (encryption\))Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.477 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.113 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.118 0 Td (laughably)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.695 0 Td [(w)26(eak.)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf -30.434 -1.242 Td (It)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.162 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.084 0 Td (only)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.274 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.801 0 Td [(com)27(bination)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.773 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.219 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.801 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.717 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.358 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.801 0 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.054 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -31.044 -1.242 Td [(mak)27(es)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.996 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.532 0 Td (secure.)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.395 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.786 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 0.824 0 Td (fair)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.799 0 Td (comparison)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.278 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.462 0 Td [(ha)27(v)28(e)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.297 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.213 0 Td (compare)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.993 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.532 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.27 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf -32.377 -1.241 Td [(com)27(bination)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 5.694 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.14 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.389 0 Td (encryption)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 4.975 0 Td [(mo)-28(de)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 2.694 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.945 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.389 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 6.639 0 Td [(mo)-27(de.)]TJ /T1_1 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 5.9817 0 0 5.9817 138.2385 264.2585 Tm (2)Tj EMC /P <>BDC /T1_5 1 Tf 8.9625 0 0 8.9625 142.3897 260.4474 Tm (One)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.198 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.199 0 Td (our)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.858 0 Td (general)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.572 0 Td (design)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.174 0 Td (rules:)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.921 0 Td [(T)85(o)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.541 0 Td (force)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.515 0 Td (an)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.456 0 Td [(attac)28(k)28(er)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.998 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.285 0 Td [(sp)-29(end)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.975 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 5.9817 0 0 5.9817 404.253 264.2585 Tm (n)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf 8.9625 0 0 8.9625 412.6754 260.4474 Tm (steps)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.61 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.228 0 Td [(attac)28(king)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf -35.847 -1.223 Td [(y)28(our)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.274 0 Td (system,)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.64 0 Td (all)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.359 0 Td (cryptographic)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 6.474 0 Td [(v)56(alues)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.992 0 Td (should)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.192 0 Td [(b)-29(e)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.331 0 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.188 0 Td (least)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.336 0 Td (2)Tj /T1_7 1 Tf 0.525 0 Td (n)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 0.894 0 Td (bits)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.936 0 Td (long.)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.604 0 Td [(Giv)28(en)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.907 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.702 0 Td [(prev)56(alence)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf -35.354 -1.222 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.17 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.946 0 Td [(attac)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.546 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.005 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.033 0 Td (just)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.033 0 Td (sound)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.974 0 Td (engineering.)Tj /T1_1 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 5.9817 0 0 5.9817 138.2385 231.3793 Tm (3)Tj EMC /P <>BDC /T1_5 1 Tf 8.9625 0 0 8.9625 142.3897 227.5682 Tm (The)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.087 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.751 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.145 0 Td (128-bit)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.458 0 Td [(k)28(eys)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.235 0 Td [(v)27(ery)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.233 0 Td (often)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.573 0 Td (leads)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.55 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.231 0 Td (more)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 2.547 0 Td [(e\261cien)28(t)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.772 0 Td [(attac)27(ks,)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.811 0 Td (and)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 1.973 0 Td [(alw)28(a)28(ys)]TJ /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.264 0 Td (requires)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf -36.482 -1.222 Td (careful)Tj /T1_1 1 Tf ( )Tj /T1_5 1 Tf 3.342 0 Td (analysis.)Tj /T1_1 1 Tf ( )Tj EMC /Artifact <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 302.3945 142.7745 Tm (8)Tj /T1_1 1 Tf ( )Tj EMC ET endstream endobj 805 0 obj <>stream BT /Artifact <>BDC 0 g /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 3 Tr 7.9722 0 0 7.9722 183.8313 681.1152 Tm (0)Tj 0.206 -6.962 Td [(0)-3810(0)]TJ -2.233 -6.139 Td [(0)-3113(0)-4471(0)-4472(0)]TJ -1.215 -2.232 Td [(0)-3453(0)-4810(0)-4811(0)]TJ -2.561 -6.138 Td [(0)-4861(0)]TJ 11.506 0 Td (0)Tj 6.356 0 Td (0)Tj -14.795 -2.232 Td [(0)-4517(0)]TJ 10.967 0 Td (0)Tj 6.163 0 Td (0)Tj -17.13 -2.232 Td [(0)-4517(0)]TJ 10.967 0 Td (0)Tj 6.163 0 Td (0)Tj EMC /P <>BDC /T1_1 1 Tf 0 Tr 10.9131 0 0 10.9131 125.7951 701.0808 Tm (and)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.944 0 Td (get)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 2.588 -2.243 Td (C)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 183.0511 673.8331 Tm (a;k)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 198.0453 676.6039 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.056 0 Td (Y)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 215.9003 674.3933 Tm (b;s)Tj /T1_5 1 Tf 1.24 0 Td (\()Tj /T1_4 1 Tf 0.414 0 Td (k)Tj /T1_5 1 Tf 0.58 0 Td (\))Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 239.917 676.6039 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (R)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 259.1124 674.8334 Tm (b)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 265.6542 676.6039 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (\260)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 282.2088 674.3933 Tm (s)Tj /T1_5 1 Tf 0.492 0 Td (\()Tj /T1_4 1 Tf (k)Tj /T1_5 1 Tf 0.992 0 Td (\))Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 300.2639 676.6039 Tm (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 0.902 0 Td (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (R)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 334.7536 674.9734 Tm (a)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 342.1756 676.6039 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (R)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 361.371 674.8334 Tm (b)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 367.9128 676.6039 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1 0 Td (\()Tj /T1_3 1 Tf (\260)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 388.7086 674.9734 Tm (i)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 394.5203 676.6039 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 411.0749 674.9734 Tm (j)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 415.4561 676.6039 Tm (\))Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 0.61 0 Td (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_1 1 Tf -21.033 -1.631 Td (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.056 0 Td (Y)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 215.9003 656.5983 Tm (b;s)Tj /T1_5 1 Tf 1.24 0 Td (\()Tj /T1_4 1 Tf 0.414 0 Td (k)Tj /T1_5 1 Tf 0.58 0 Td (\))Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 239.917 658.8089 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (R)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 259.1124 657.1785 Tm (a)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 266.5345 658.8089 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.999 0 Td (\()Tj /T1_3 1 Tf (\260)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 287.3303 656.5983 Tm (s)Tj /T1_5 1 Tf 0.492 0 Td (\()Tj /T1_4 1 Tf (k)Tj /T1_5 1 Tf 0.992 0 Td (\))Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 305.3753 658.8089 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (\260)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 321.93 657.1785 Tm (i)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 327.7416 658.8089 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 344.2962 657.1785 Tm (j)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 348.6774 658.8089 Tm (\))Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 0.611 0 Td (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -14.914 -1.62 Td (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.056 0 Td (Y)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 215.9003 638.9134 Tm (b;s)Tj /T1_5 1 Tf 1.24 0 Td (\()Tj /T1_4 1 Tf 0.414 0 Td (k)Tj /T1_5 1 Tf 0.58 0 Td (\))Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 239.917 641.134 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (R)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 259.1124 639.4935 Tm (a)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 266.5345 641.134 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 283.0891 639.3535 Tm (k)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 290.6312 641.134 Tm (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_3 1 Tf -10.938 -1.836 Td (Y)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 183.0511 618.3276 Tm (a;k)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 198.0453 621.0984 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.056 0 Td (C)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 217.3607 618.3276 Tm (a;k)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 231.7547 621.0984 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (R)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 250.9501 619.4679 Tm (a)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 258.3722 621.0984 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 274.9268 619.3279 Tm (k)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 282.4689 621.0984 Tm (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.958 0 Td (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.056 0 Td (Y)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 316.2284 618.8777 Tm (b;s)Tj /T1_5 1 Tf (\()Tj /T1_4 1 Tf (k)Tj /T1_5 1 Tf 2.233 0 Td (\))Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 125.7951 596.6315 Tm (Because)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.825 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.722 0 Td [(prop)-28(erties)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.707 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.139 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.716 0 Td (s)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.802 0 Td (function)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.917 0 Td [(w)27(e)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.472 0 Td (get)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_6 1 Tf -16.766 -2.242 Td (f)Tj /T1_3 1 Tf 0.5 0 Td (Y)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 165.2361 569.3839 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf 0.532 0 Td (d)Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 181.1806 572.1647 Tm [(;)-166(Y)]TJ EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 192.3637 569.3839 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+1)Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 219.1212 572.1647 Tm [(;)-166(Y)]TJ EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 230.3043 569.3839 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+2)Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 257.0618 572.1647 Tm [(;)-166(Y)]TJ EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 268.2449 569.3839 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+3)Tj EMC /P <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 295.0124 572.1647 Tm (g)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.777 0 Td (=)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 1.055 0 Td (f)Tj /T1_3 1 Tf 0.5 0 Td (Y)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 326.7913 570.3842 Tm (b;)Tj /T1_5 1 Tf (4)Tj /T1_4 1 Tf (e)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 341.4354 572.1647 Tm [(;)-166(Y)]TJ /T1_4 1 Tf 7.9722 0 0 7.9722 352.6086 570.3842 Tm (b;)Tj /T1_5 1 Tf (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+1)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 378.0657 572.1647 Tm [(;)-167(Y)]TJ /T1_4 1 Tf 7.9722 0 0 7.9722 389.2488 570.3842 Tm (b;)Tj /T1_5 1 Tf (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+2)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 414.7059 572.1647 Tm [(;)-166(Y)]TJ /T1_4 1 Tf 7.9722 0 0 7.9722 425.8891 570.3842 Tm (b;)Tj /T1_5 1 Tf 0.749 0 Td (4)Tj /T1_4 1 Tf 0.532 0 Td (e)Tj /T1_5 1 Tf 0.492 0 Td (+3)Tj /T1_6 1 Tf 10.9131 0 0 10.9131 451.3462 572.1647 Tm (g)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_6 1 Tf -28.289 -1.631 Td (f)Tj /T1_3 1 Tf (X)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 157.1238 551.5889 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 173.0683 554.3697 Tm [(;)-166(X)]TJ EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 186.9522 551.5889 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+1)Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 213.7097 554.3697 Tm [(;)-167(X)]TJ EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 227.6036 551.5889 Tm (a;)Tj /T1_5 1 Tf 0.858 0 Td (4)Tj /T1_4 1 Tf 0.532 0 Td (d)Tj /T1_5 1 Tf 0.546 0 Td (+2)Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 254.3611 554.3697 Tm [(;)-166(X)]TJ EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 268.2449 551.5889 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+3)Tj EMC /P <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 295.0124 554.3697 Tm (g)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.777 0 Td (=)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 1.055 0 Td (f)Tj /T1_3 1 Tf 0.5 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 329.5021 552.5892 Tm (b;)Tj /T1_5 1 Tf 0.749 0 Td (4)Tj /T1_4 1 Tf (e)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 344.1362 554.3697 Tm [(;)-166(X)]TJ /T1_4 1 Tf 7.9722 0 0 7.9722 358.0201 552.5892 Tm (b;)Tj /T1_5 1 Tf (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+1)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 383.4772 554.3697 Tm [(;)-166(X)]TJ /T1_4 1 Tf 7.9722 0 0 7.9722 397.3611 552.5892 Tm (b;)Tj /T1_5 1 Tf (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+2)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 422.8182 554.3697 Tm [(;)-166(X)]TJ /T1_4 1 Tf 7.9722 0 0 7.9722 436.7121 552.5892 Tm (b;)Tj /T1_5 1 Tf 0.749 0 Td (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+3)Tj /T1_6 1 Tf 10.9131 0 0 10.9131 462.1692 554.3697 Tm (g)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -30.823 -2.242 Td (and)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_3 1 Tf 0 -2.243 TD (M)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 137.5684 502.6552 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 155.9335 505.426 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (M)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 177.4295 502.6552 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+1)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 206.6177 505.426 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (M)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 228.1037 502.6552 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+2)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 257.2919 505.426 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (M)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 278.7779 502.6552 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf 0.532 0 Td (d)Tj /T1_5 1 Tf 0.546 0 Td (+3)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 140.5992 487.631 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (X)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 161.155 484.8602 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 179.5201 487.631 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (X)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 199.4657 484.8602 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+1)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 228.6539 487.631 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (X)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 248.5994 484.8602 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+2)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 277.7876 487.631 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (X)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 297.7332 484.8602 Tm (a;)Tj /T1_5 1 Tf 0.858 0 Td (4)Tj /T1_4 1 Tf 0.532 0 Td (d)Tj /T1_5 1 Tf 0.546 0 Td (+3)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 326.9114 487.631 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1 0 Td (\()Tj /T1_3 1 Tf (\260)Tj EMC /P <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 347.7172 485.8605 Tm (4)Tj /T1_4 1 Tf (d)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 359.2304 487.631 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj EMC /P <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 375.785 485.8605 Tm (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+1)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 398.1213 487.631 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj EMC /P <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 414.6759 485.8605 Tm (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+2)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 437.0122 487.631 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (\260)Tj EMC /P <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 453.5668 485.8605 Tm (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+3)Tj EMC /StyleSpan <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 473.4824 487.631 Tm (\))Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 0.61 0 Td (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_1 1 Tf -31.613 -1.631 Td (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (X)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 161.155 467.0652 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 179.5201 469.836 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (X)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 199.4657 467.0652 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+1)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 228.6539 469.836 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (X)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 248.5994 467.0652 Tm (a;)Tj /T1_5 1 Tf 0.859 0 Td (4)Tj /T1_4 1 Tf (d)Tj /T1_5 1 Tf (+2)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 277.7876 469.836 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (X)Tj EMC /P <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 297.7332 467.0652 Tm (a;)Tj /T1_5 1 Tf 0.858 0 Td (4)Tj /T1_4 1 Tf 0.532 0 Td (d)Tj /T1_5 1 Tf 0.546 0 Td (+3)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_6 1 Tf 10.9131 0 0 10.9131 326.9114 469.836 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1 0 Td (0)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 0.722 0 Td (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -19.294 -1.631 Td (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 161.155 450.2706 Tm (b;)Tj /T1_5 1 Tf 0.749 0 Td (4)Tj /T1_4 1 Tf 0.532 0 Td (e)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 178.2097 452.041 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 198.1653 450.2706 Tm (b;)Tj /T1_5 1 Tf 0.749 0 Td (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+1)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 226.0431 452.041 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 245.9887 450.2706 Tm (b;)Tj /T1_5 1 Tf 0.749 0 Td (4)Tj /T1_4 1 Tf 0.532 0 Td (e)Tj /T1_5 1 Tf 0.492 0 Td (+2)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 273.8665 452.041 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 293.8121 450.2706 Tm (b;)Tj /T1_5 1 Tf (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+3)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 140.5992 435.5064 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 162.6954 433.7259 Tm (b;)Tj /T1_5 1 Tf (4)Tj /T1_4 1 Tf (e)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 179.7602 435.5064 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 201.2562 433.7259 Tm (b;)Tj /T1_5 1 Tf 0.749 0 Td (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+1)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 229.134 435.5064 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 250.63 433.7259 Tm (b;)Tj /T1_5 1 Tf 0.749 0 Td (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+2)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 278.5078 435.5064 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 299.9938 433.7259 Tm (b;)Tj /T1_5 1 Tf (4)Tj /T1_4 1 Tf (e)Tj /T1_5 1 Tf (+3)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 140.5992 418.9718 Tm [(=)-277(0)]TJ /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -1.357 -2.243 Td (In)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.205 0 Td (other)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.569 0 Td [(w)26(ords,)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.112 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.677 0 Td [(mo)-28(di\257cation)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 5.705 0 Td [(w)27(e)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.427 0 Td (made)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.621 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.177 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.678 0 Td (ciphertext)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.707 0 Td (has)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.738 0 Td (not)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.733 0 Td [(c)26(hanged)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf -29.349 -1.241 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.674 0 Td (sum)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.069 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.091 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.675 0 Td (four)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.038 0 Td (a\256ected)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.647 0 Td (message)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.796 0 Td [(w)26(ords,)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.11 0 Td (so)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.179 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.675 0 Td [(c)27(hec)28(ksum)]TJ /T1_2 1 Tf ( )Tj 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Tf ( )Tj /T1_1 1 Tf 4.846 0 Td (large)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.474 0 Td [(quan)27(tities)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf -28.593 -1.241 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.139 0 Td (data)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.278 0 Td (with)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.279 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.833 0 Td (single)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.783 0 Td [(k)26(ey)84(.)]TJ /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -9.312 -1.672 Td [(Mo)-28(dern)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.836 0 Td (systems)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.823 0 Td (are)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.78 0 Td (designed)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.173 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.334 0 Td (withstand)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.783 0 Td (an)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.501 0 Td [(attac)27(k)28(er)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.975 0 Td (that)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.278 0 Td (can)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.944 0 Td [(p)-28(erform)]TJ /T1_2 1 Tf ( 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<>/ProcSet[/PDF/Text]>>/StructParents 6/Tabs/S/Type/Page>> endobj 926 0 obj <>stream /Artifact <>BDC BT 0 g /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 3 Tr 10.9131 0 0 10.9131 373.1143 446.3295 Tm (6)Tj 7.689 0 Td (6)Tj ET q 1.00028 0 0 1.00028 72 769.82 cm 0 G 0.4 w q 1 0 0 1 109.65 -559.17 cm 0 0 m 0 10.9 l S Q Q BT /T1_1 1 Tf 7.9722 0 0 7.9722 206.9378 177.1641 Tm (0)Tj ET EMC BT /P <>BDC /T1_2 1 Tf 0 Tr 14.344 0 0 14.344 125.7951 701.0808 Tm (4)Tj /T1_3 1 Tf ( )Tj /T1_2 1 Tf 1.688 0 Td (Extension)Tj /T1_3 1 Tf ( )Tj /T1_2 1 Tf 5.227 0 Td (to)Tj /T1_3 1 Tf ( )Tj /T1_2 1 Tf 1.375 0 Td [(m)31(ultiple)]TJ /T1_3 1 Tf ( )Tj /T1_2 1 Tf 4.419 0 Td (messages)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf 10.9131 0 0 10.9131 125.7951 672.1927 Tm [(W)83(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.845 0 Td [(no)27(w)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.206 0 Td (extend)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.374 0 Td (this)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.073 0 Td [(attac)27(k)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.179 0 Td (to)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.345 0 Td (deal)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.234 0 Td (with)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.402 0 Td [(m)27(ultiple)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.039 0 Td (messages.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.996 0 Td [(Supp)-28(ose)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.046 0 Td [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.739 -1.242 Td [(ha)27(v)28(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.267 0 Td (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.794 0 Td (large)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.408 0 Td [(n)26(um)28(b)-27(er)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.604 0 Td (of)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.1 0 Td (messages)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.2 0 Td (encrypted)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.602 0 Td (using)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.577 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.684 0 Td (same)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.466 0 Td [(k)27(ey)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.767 0 Td (but)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.794 0 Td [(di\256eren)27(t)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf -29.263 -1.242 Td (nonces.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.807 0 Td [(W)82(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.786 0 Td (will)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.953 0 Td (again)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.73 0 Td (ignore)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.066 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.786 0 Td (\257nal)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.286 0 Td [(blo)-27(c)26(ks)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.096 0 Td (of)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.203 0 Td [(eac)27(h)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.314 0 Td (message)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.908 0 Td (as)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.291 0 Td (they)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.314 0 Td (are)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.54 -1.241 Td (treated)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.336 0 Td [(di\256eren)26(tly)84(.)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 5.023 0 Td [(T)83(o)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.361 0 Td (distinguish)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.956 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.612 0 Td [(v)55(arious)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.315 0 Td [(v)55(alues)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.867 0 Td (in)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.055 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.612 0 Td [(di\256eren)27(t)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.836 0 Td (messages)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -28.973 -1.242 Td [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.518 0 Td (add)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.991 0 Td (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.881 0 Td (subscript,)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.628 0 Td (or)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.272 0 Td (add)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.991 0 Td (an)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.436 0 Td (extra)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.634 0 Td (subscript)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.338 0 Td (in)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.213 0 Td [(fron)27(t)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.495 0 Td (of)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.186 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.769 0 Td (existing)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.747 0 Td (one.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.099 -1.241 Td (Note)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.455 0 Td (that)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.205 0 Td (L)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.052 0 Td [(do)-28(es)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.295 0 Td (not)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.817 0 Td (require)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.406 0 Td (an)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.428 0 Td (extra)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.625 0 Td (subscript)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.331 0 Td (as)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.266 0 Td (it)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.039 0 Td [(dep)-28(ends)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.906 0 Td (only)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.234 0 Td (on)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.428 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.487 -1.242 Td [(k)27(ey)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.805 0 Td (and)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.945 0 Td (not)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.778 0 Td (on)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.389 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.723 0 Td (nonce.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.222 0 Td (Therefore)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.533 0 Td (it)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.001 0 Td (is)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.005 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.722 0 Td (same)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.506 0 Td (for)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.53 0 Td (all)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.389 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.723 0 Td (messages.)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf -27.271 -1.657 Td [(W)83(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.695 0 Td [(c)27(ho)-27(ose)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.146 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.696 0 Td (messages)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.211 0 Td (with)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.252 0 Td (random)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.643 0 Td (message)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.818 0 Td [(blo)-27(c)26(ks)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.005 0 Td [(sub)-56(ject)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.451 0 Td (to)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.196 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.696 0 Td (restric\311)Tj -29.809 -1.241 Td (tion)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.114 0 Td (that)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.226 0 Td (for)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.589 0 Td [(an)27(y)]TJ /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.946 0 Td (q)Tj /T1_4 1 Tf 0.482 0 Td (,)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.685 0 Td (M)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 235.0556 557.6206 Tm (4)Tj /T1_7 1 Tf 0.532 0 Td (q)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 246.7089 559.2611 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.039 0 Td (M)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 268.635 557.6206 Tm (4)Tj /T1_7 1 Tf (q)Tj /T1_6 1 Tf 1.041 0 Td (+1)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 291.1113 559.2611 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.038 0 Td (M)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 313.0275 557.6206 Tm (4)Tj /T1_7 1 Tf (q)Tj /T1_6 1 Tf 1.041 0 Td (+2)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 335.5038 559.2611 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.038 0 Td (M)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 357.4199 557.6206 Tm (4)Tj /T1_7 1 Tf 0.532 0 Td (q)Tj /T1_6 1 Tf 0.509 0 Td (+3)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 381.1465 559.2611 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.154 0 Td (0.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.4 0 Td (It)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.142 0 Td (is)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.065 0 Td [(p)-27(ossible)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.82 0 Td (to)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.98 -1.242 Td (relax)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.43 0 Td (this)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.905 0 Td (restriction)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.743 0 Td (to)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.177 0 Td [(co)26(v)28(er)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.541 0 Td (sums)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.466 0 Td [(o)27(v)28(er)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.096 0 Td (larger)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.794 0 Td [(c)27(h)28(unks,)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.552 0 Td (but)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.788 0 Td (this)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.905 0 Td (is)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.96 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.677 0 Td (easiest)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -30.034 -1.241 Td [(v)55(arian)28(t)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.402 0 Td (of)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.15 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.733 0 Td [(attac)26(k)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.067 0 Td (to)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.232 0 Td (explain.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.894 0 Td (There)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.902 0 Td (is)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.016 0 Td (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.844 0 Td [(sligh)27(t)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.711 0 Td (problem)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.902 0 Td (in)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.177 0 Td (that)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.166 0 Td (M)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 454.9972 530.523 Tm (0)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 463.4896 532.1635 Tm [(do)-27(es)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf -30.944 -1.242 Td (not)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.758 0 Td (exist,)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.628 0 Td (so)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.208 0 Td (there)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.538 0 Td (is)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.985 0 Td (no)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.369 0 Td (\257rst)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.045 0 Td (group)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.816 0 Td (of)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.119 0 Td (four.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.469 0 Td (As)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.457 0 Td (long)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.146 0 Td (as)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.208 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.702 0 Td (message)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.824 0 Td (sizes)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.268 0 Td (are)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.54 -1.242 Td (reasonably)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.969 0 Td (large)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.435 0 Td (\()Tj /T1_5 1 Tf 0.387 0 Td [(m)-277(>)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.211 0 Td (100\))Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.21 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.711 0 Td [(c)27(hance)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.238 0 Td (of)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.128 0 Td [(encoun)27(tering)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 5.908 0 Td (this)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.939 0 Td (problem)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.879 0 Td (is)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.994 0 Td [(v)26(ery)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.009 -1.241 Td [(lo)27(w,)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.083 0 Td (so)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.228 0 Td [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.471 0 Td (will)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.89 0 Td (ignore)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.002 0 Td (it.)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf -9.674 -1.657 Td [(W)83(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.746 0 Td (again)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.69 0 Td [(lo)-28(ok)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.191 0 Td (for)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.555 0 Td (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.857 0 Td (collision)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.864 0 Td (where)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.91 0 Td (X)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 307.3959 471.7866 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 321.0997 473.427 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.095 0 Td (X)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 342.0856 471.6465 Tm (b;j)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 352.4485 473.427 Tm (.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.794 0 Td (If)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.024 0 Td (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.846 0 Td (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.095 0 Td (b)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.786 0 Td (then)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.302 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.746 0 Td (collision)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -29.362 -1.242 Td [(o)-28(ccurs)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.164 0 Td (within)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.184 0 Td (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.907 0 Td (single)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.856 0 Td (message)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.917 0 Td (and)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.018 0 Td [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.544 0 Td (can)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.906 0 Td (use)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.801 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.795 0 Td [(attac)27(k)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.129 0 Td (of)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.212 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.795 0 Td (previous)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -29.228 -1.241 Td (section.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.717 0 Td [(F)83(or)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.763 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.691 0 Td (rest)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.921 0 Td (of)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.108 0 Td (this)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.919 0 Td [(attac)27(k)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.024 0 Td [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.44 0 Td (will)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.858 0 Td (assume)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 3.416 0 Td (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.806 0 Td (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.056 0 Td (b)Tj /T1_4 1 Tf (,)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.014 0 Td (and)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.913 0 Td [(th)27(us)]TJ /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.167 0 Td (N)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 448.9955 444.689 Tm (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 457.0278 446.3295 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.055 0 Td (N)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 477.3035 444.549 Tm (b)Tj /T1_4 1 Tf 10.9131 0 0 10.9131 481.4246 446.3295 Tm (.)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf -32.588 -1.657 Td (If)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (X)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 145.7406 426.6039 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 159.0043 428.2444 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.055 0 Td (X)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 179.5601 426.4639 Tm (b;j)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 193.554 428.2444 Tm [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.471 0 Td [(ha)27(v)28(e)]TJ /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf 2.294 -2.06 Td (Y)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 240.9773 404.1276 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 254.241 405.7681 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.055 0 Td (Y)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 272.086 403.9876 Tm (b;j)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 10.9131 0 0 10.9131 230.3943 389.2235 Tm (M)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 240.9773 387.593 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 254.241 389.2235 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.055 0 Td (X)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 274.7968 387.593 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 287.4503 389.2235 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (Z)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 305.8055 387.593 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 319.0692 389.2235 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.055 0 Td (X)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 339.6249 387.593 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 352.2785 389.2235 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.999 0 Td (R)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 371.4738 387.593 Tm (a)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 378.8859 389.2235 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 395.4505 387.593 Tm (i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 401.2522 389.2235 Tm (\242)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.5 0 Td (L)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf -19.296 -1.515 Td (M)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 206.7077 371.0484 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 219.3613 372.6888 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (M)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 240.8573 370.9083 Tm (b;j)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 254.241 372.6888 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.055 0 Td (R)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 274.0366 371.0484 Tm (a)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 281.4586 372.6888 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (R)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 300.654 370.9083 Tm (b)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 307.1958 372.6888 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1 0 Td (\()Tj /T1_5 1 Tf (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 327.9917 371.0484 Tm (i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 333.8033 372.6888 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.999 0 Td (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 350.3579 371.0484 Tm (j)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 354.7392 372.6888 Tm (\))Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 0.611 0 Td (\242)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.5 0 Td (L)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf -15.135 -1.515 Td (C)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 209.4885 354.5137 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 222.152 356.1542 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.999 0 Td (C)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 240.8573 354.3737 Tm (b;j)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 254.241 356.1542 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.055 0 Td (R)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 274.0366 354.5137 Tm (a)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 281.4586 356.1542 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (R)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 300.654 354.3737 Tm (b)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 307.1958 356.1542 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1 0 Td (\()Tj /T1_5 1 Tf (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 327.9917 354.5137 Tm (i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 333.8033 356.1542 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.999 0 Td (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 350.3579 354.5137 Tm (j)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 354.7392 356.1542 Tm (\))Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 0.611 0 Td (\242)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.5 0 Td (L)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf -15.379 -1.516 Td (M)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 209.6185 337.9791 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 222.2721 339.6096 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (C)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 240.9773 337.9791 Tm (a;i)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 254.241 339.6096 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.055 0 Td (M)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 276.3372 337.8391 Tm (b;j)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 289.1208 339.6096 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (C)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 307.826 337.8391 Tm (b;j)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf 10.9131 0 0 10.9131 125.7951 317.1333 Tm (so)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.227 0 Td [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.472 0 Td (can)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.833 0 Td (use)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.727 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.723 0 Td (same)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.505 0 Td (detection)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.333 0 Td (rule)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.004 0 Td (to)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.222 0 Td (\257nd)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2 0 Td (our)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.774 0 Td (X)Tj /T1_4 1 Tf 0.906 0 Td (-collisions.)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf -22.727 -1.657 Td [(Unlik)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.267 0 Td (in)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.295 0 Td (our)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.909 0 Td (previous)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.109 0 Td (case)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.245 0 Td [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.601 0 Td (cannot)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.407 0 Td [(reco)27(v)28(er)]TJ /T1_3 1 Tf ( )Tj /T1_5 1 Tf 3.545 0 Td (L)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.142 0 Td (from)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.493 0 Td (this)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.079 0 Td (collision,)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.277 0 Td (but)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.369 -1.241 Td [(w)27(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.632 0 Td (don't)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.772 0 Td [(ha)26(v)28(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.467 0 Td (to.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.094 0 Td (The)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.216 0 Td (di\256erences)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 5.03 0 Td [(b)-28(et)27(w)28(een)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.021 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.884 0 Td (message)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 4.005 0 Td [(blo)-28(c)27(ks)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.193 0 Td [(giv)27(es)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.611 0 Td (us)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.925 -1.242 Td (\242)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.111 0 Td (:=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.333 0 Td (R)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 160.7448 270.3202 Tm (a)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 168.1669 271.9506 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (R)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 187.3623 270.1801 Tm (b)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 193.9041 271.9506 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1 0 Td (\()Tj /T1_5 1 Tf (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 214.7099 270.3202 Tm (i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 220.5116 271.9506 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1 0 Td (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 237.0662 270.3202 Tm (j)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 241.4474 271.9506 Tm (\))Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 0.611 0 Td (\242)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.5 0 Td (L)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.014 0 Td [(whic)27(h)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.861 0 Td (is)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.005 0 Td (enough.)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf -16.588 -1.657 Td (Let)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.897 0 Td (d)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.975 0 Td (:=)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 1.51 0 Td (b)Tj /T1_5 1 Tf (i=)Tj /T1_4 1 Tf 1.289 0 Td (4)Tj /T1_0 1 Tf 0.5 0 Td (c)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.885 0 Td (and)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.05 0 Td (e)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.92 0 Td (:=)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 1.51 0 Td (b)Tj /T1_5 1 Tf [(j)-57(=)]TJ /T1_4 1 Tf (4)Tj /T1_0 1 Tf 1.913 0 Td (c)Tj /T1_4 1 Tf (.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.486 0 Td (Let)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.897 0 Td (s)Tj /T1_4 1 Tf (\()Tj /T1_5 1 Tf (k)Tj /T1_4 1 Tf 1.41 0 Td (\))Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.828 0 Td [(b)-28(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.467 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.829 0 Td [(v)55(alue)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.69 0 Td [(suc)27(h)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.362 0 Td (that)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.269 0 Td (\260)Tj EMC /StyleSpan <>BDC /T1_7 1 Tf 7.9722 0 0 7.9722 455.3873 251.645 Tm (s)Tj /T1_6 1 Tf (\()Tj /T1_7 1 Tf (k)Tj /T1_6 1 Tf 1.483 0 Td (\))Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf 10.9131 0 0 10.9131 475.9731 253.8656 Tm (=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf -32.088 -1.241 Td (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 131.4466 238.5413 Tm (k)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 139.4589 240.3218 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.042 0 Td (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 156.4836 238.6813 Tm (i)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 10.9131 0 0 10.9131 162.7554 240.3218 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.043 0 Td (\260)Tj /T1_7 1 Tf 7.9722 0 0 7.9722 179.7802 238.6813 Tm (j)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 188.5026 240.3218 Tm (for)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.594 0 Td (k)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 0.938 0 Td [(2)-384(f)]TJ /T1_4 1 Tf (4)Tj /T1_5 1 Tf 2.05 0 Td (d;)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.964 0 Td (4)Tj /T1_5 1 Tf (d)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.286 0 Td [(+)-264(1)]TJ /T1_5 1 Tf (;)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.986 0 Td (4)Tj /T1_5 1 Tf 0.5 0 Td (d)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.786 0 Td [(+)-265(2)]TJ /T1_5 1 Tf (;)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.987 0 Td (4)Tj /T1_5 1 Tf 0.5 0 Td (d)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.786 0 Td [(+)-264(3)]TJ /T1_0 1 Tf (g)Tj /T1_4 1 Tf (.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.957 0 Td (It)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.147 0 Td (is)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.07 0 Td (clear)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.456 0 Td (that)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.229 0 Td (s)Tj /T1_4 1 Tf 0.468 0 Td (\()Tj /T1_5 1 Tf (i)Tj /T1_4 1 Tf [(\))-385(=)]TJ /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.669 0 Td (j)Tj /T1_4 1 Tf 0.469 0 Td (.)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -32.588 -1.242 Td (As)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.446 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.691 0 Td (bit)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.525 0 Td (strings)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 3.203 0 Td (\260)Tj /T1_6 1 Tf 7.9722 0 0 7.9722 217.2707 224.9875 Tm (4)Tj /T1_7 1 Tf 0.532 0 Td (d)Tj /T1_5 1 Tf 10.9131 0 0 10.9131 226.3632 226.768 Tm [(;)-166(\260)]TJ /T1_6 1 Tf 7.9722 0 0 7.9722 236.8661 224.9875 Tm (4)Tj /T1_7 1 Tf (d)Tj /T1_6 1 Tf 1.077 0 Td (+1)Tj /T1_5 1 Tf 10.9131 0 0 10.9131 256.7717 226.768 Tm [(;)-166(\260)]TJ /T1_6 1 Tf 7.9722 0 0 7.9722 267.2647 224.9875 Tm (4)Tj /T1_7 1 Tf 0.532 0 Td (d)Tj /T1_6 1 Tf 0.546 0 Td (+2)Tj /T1_5 1 Tf 10.9131 0 0 10.9131 287.1802 226.768 Tm [(;)-166(\260)]TJ /T1_6 1 Tf 7.9722 0 0 7.9722 297.6732 224.9875 Tm (4)Tj /T1_7 1 Tf (d)Tj /T1_6 1 Tf (+3)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 10.9131 0 0 10.9131 320.8797 226.768 Tm (only)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.163 0 Td (di\256er)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.555 0 Td (in)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.136 0 Td (their)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.36 0 Td (last)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.863 0 Td [(t)26(w)28(o)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.858 0 Td (bits)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.919 0 Td [(w)26(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf -31.73 -1.242 Td [(ha)27(v)28(e)]TJ /T1_3 1 Tf ( )Tj /T1_0 1 Tf 2.305 0 Td (f)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.721 0 Td (s)Tj /T1_4 1 Tf (\()Tj /T1_5 1 Tf (k)Tj /T1_4 1 Tf 1.41 0 Td (\))Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf 0.981 0 Td (k)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.83 0 Td [(=)-277(4)]TJ /T1_5 1 Tf 1.555 0 Td (d;)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.965 0 Td (4)Tj /T1_5 1 Tf 0.5 0 Td (d)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.742 0 Td [(+)-222(1)]TJ /T1_5 1 Tf 1.5 0 Td [(;)-166(:)-167(:)-166(:)-167(;)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.221 0 Td (4)Tj /T1_5 1 Tf (d)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.243 0 Td [(+)-221(3)]TJ /T1_3 1 Tf ( )Tj /T1_0 1 Tf 1.721 0 Td (g)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.777 0 Td (=)Tj /T1_3 1 Tf ( )Tj /T1_0 1 Tf 1.055 0 Td (f)Tj /T1_4 1 Tf (4)Tj /T1_5 1 Tf (e;)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.91 0 Td (4)Tj /T1_5 1 Tf 0.5 0 Td (e)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.687 0 Td [(+)-222(1)]TJ /T1_5 1 Tf 1.5 0 Td (;)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.445 0 Td (4)Tj /T1_5 1 Tf 0.5 0 Td (e)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.687 0 Td [(+)-222(2)]TJ /T1_5 1 Tf 1.5 0 Td (;)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.445 0 Td (4)Tj /T1_5 1 Tf 0.5 0 Td (e)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.687 0 Td [(+)-222(3)]TJ /T1_0 1 Tf 1.5 0 Td (g)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf -29.384 -1.657 Td [(W)83(e)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.722 0 Td [(mo)-28(dify)]TJ /T1_3 1 Tf ( )Tj /T1_4 1 Tf 3.361 0 Td (the)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.722 0 Td (message)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 3.841 0 Td (a)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.862 0 Td (as)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1.227 0 Td [(follo)27(ws:)]TJ /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf -6.086 -2.06 Td (C)Tj EMC /StyleSpan <>BDC /T1_7 1 Tf 7.9722 0 0 7.9722 206.1575 169.8821 Tm (a;k)Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf 10.9131 0 0 10.9131 221.1517 172.6528 Tm (:=)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.333 0 Td (C)Tj EMC /StyleSpan <>BDC /T1_7 1 Tf 7.9722 0 0 7.9722 243.498 170.4422 Tm (b;s)Tj /T1_6 1 Tf (\()Tj /T1_7 1 Tf (k)Tj /T1_6 1 Tf 2.233 0 Td (\))Tj /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_0 1 Tf 10.9131 0 0 10.9131 267.5147 172.6528 Tm (\251)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 1 0 Td (\242)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 2.832 0 Td (for)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 1.53 0 Td (k)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.83 0 Td [(=)-277(4)]TJ /T1_5 1 Tf (d;)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 2.519 0 Td (:)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.445 0 Td (:)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.444 0 Td (:)Tj /T1_3 1 Tf ( )Tj /T1_5 1 Tf 0.445 0 Td (;)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.444 0 Td (4)Tj /T1_5 1 Tf 0.5 0 Td (d)Tj /T1_3 1 Tf ( )Tj /T1_4 1 Tf 0.742 0 Td [(+)-222(3)]TJ /T1_3 1 Tf ( )Tj EMC /P <>BDC /T1_4 1 Tf -8.534 -2.738 Td (6)Tj /T1_3 1 Tf ( )Tj EMC ET endstream endobj 119 0 obj <> endobj 71 0 obj <>/ProcSet[/PDF/Text]>>/StructParents 4/Tabs/S/Type/Page>> endobj 75 0 obj <>/ProcSet[/PDF/Text]>>/StructParents 5/Tabs/S/Type/Page>> endobj 928 0 obj <>stream BT /Artifact <>BDC 0 g /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 3 Tr 7.9722 0 0 7.9722 342.7658 705.0319 Tm (0)Tj 13.291 0 Td (0)Tj -36.193 -4.705 Td [(0)-3305(0)-3305(0)-3305(0)]TJ EMC /P <>BDC /T1_1 1 Tf 0 Tr 10.9131 0 0 10.9131 125.7951 701.0808 Tm (It)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.987 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.91 0 Td (easy)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.104 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.127 0 Td (see)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.521 0 Td (that)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.07 0 Td (for)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.432 0 Td (k)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.83 0 Td [(=)-277(4)]TJ /T1_3 1 Tf 1.555 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.222 0 Td (7)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.737 0 Td [(w)27(e)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.376 0 Td [(ha)27(v)28(e)]TJ /T1_2 1 Tf ( )Tj /T1_3 1 Tf 2.21 0 Td (Y)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 340.3451 697.7598 Tm (k)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 348.5874 701.0808 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.056 0 Td (Y)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 366.4424 699.3003 Tm (d)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 373.8845 701.0808 Tm (and)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.848 0 Td (therefore)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 4.103 0 Td (X)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 447.8652 697.7598 Tm (k)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 456.0175 701.0808 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 476.5732 699.3003 Tm (d)Tj /T1_1 1 Tf 10.9131 0 0 10.9131 481.4246 701.0808 Tm (.)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf -32.588 -1.242 Td [(W)83(e)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.722 0 Td [(ha)27(v)28(e)]TJ /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_3 1 Tf 0.35 -2.246 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 158.9944 660.3194 Tm (4)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 166.1463 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 187.6424 660.3194 Tm (5)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 194.7944 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 216.2904 660.3194 Tm (6)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 223.4524 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 244.9384 660.3194 Tm (7)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 252.7006 663.0201 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 273.2563 661.2396 Tm (d)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 280.5384 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (Z)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 298.8935 661.3796 Tm (4)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 306.0455 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 325.9911 661.2396 Tm (d)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 333.2731 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (Z)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 351.6283 661.3796 Tm (5)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 358.7903 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 378.7359 661.2396 Tm (d)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 386.0179 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (Z)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 404.373 661.3796 Tm (6)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 411.525 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (X)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 431.4706 661.2396 Tm (d)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 438.7527 663.0201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (Z)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 457.1078 661.3796 Tm (7)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 252.7006 646.4855 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (Z)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 271.6659 644.845 Tm (4)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 278.8179 646.4855 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (Z)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 297.183 644.845 Tm (5)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 304.335 646.4855 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (Z)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 322.6902 644.845 Tm (6)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 329.8522 646.4855 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (Z)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 348.2073 644.845 Tm (7)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 252.7006 629.9408 Tm [(=)-278(\()]TJ /T1_3 1 Tf 1.445 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 274.1066 628.3104 Tm (4)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 281.2686 629.9408 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 297.8232 628.3104 Tm (5)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 304.9752 629.9408 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 321.5399 628.3104 Tm (6)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 328.6918 629.9408 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 345.2465 628.3104 Tm (7)Tj /T1_1 1 Tf 10.9131 0 0 10.9131 349.9778 629.9408 Tm (\))Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 0.611 0 Td (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -10.025 -1.515 Td (=)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.056 0 Td (\(110)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 2.11 0 Td (\251)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.999 0 Td (111)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 1.722 0 Td (\251)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.999 0 Td (101)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 1.722 0 Td (\251)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.999 0 Td (100\))Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 2.111 0 Td (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -12.218 -1.515 Td [(=)-278(0)]TJ /T1_2 1 Tf ( )Tj /T1_6 1 Tf 1.777 0 Td (\242)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -2.277 -1.516 Td [(=)-278(0)]TJ /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -11.629 -2.246 Td (The)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.022 0 Td (original)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.582 0 Td (message)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.811 0 Td (had)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.908 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 259.9426 554.1896 Tm (4)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 266.3844 555.8201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.933 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 287.1502 554.1896 Tm (5)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 293.592 555.8201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.934 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 314.3678 554.1896 Tm (6)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 320.7996 555.8201 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.934 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 341.5755 554.1896 Tm (7)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 349.3376 555.8201 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.055 0 Td (0)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.801 0 Td [(to)-27(o,)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.001 0 Td (so)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.195 0 Td (this)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.917 0 Td [(mo)-28(di\257cation)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf -27.453 -1.241 Td (has)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.913 0 Td (not)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.908 0 Td [(c)26(hanged)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.991 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.852 0 Td [(c)27(hec)27(ksum)]TJ /T1_2 1 Tf ( )Tj /T1_3 1 Tf 4.604 0 Td (S)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.133 0 Td (or)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.355 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.853 0 Td (tag)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.85 0 Td (T)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.723 0 Td (.)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.112 0 Td (Therefore,)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.974 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.852 0 Td [(mo)-28(di\257ed)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf -29.119 -1.242 Td (message)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.812 0 Td (will)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.857 0 Td [(b)-28(e)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.329 0 Td (accepted)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.079 0 Td [(b)26(y)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.358 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.69 0 Td [(receiv)27(er,)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.925 0 Td (but)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.801 0 Td (decrypt)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.609 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.191 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.801 0 Td [(di\256eren)27(t)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.915 0 Td (message)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf -29.367 -1.241 Td (then)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.278 0 Td (what)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.5 0 Td [(w)26(as)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.922 0 Td (originally)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.419 0 Td [(sen)26(t.)]TJ /T1_2 1 Tf ( )Tj EMC /Span <>BDC /T1_7 1 Tf 11.9533 0 0 11.9533 125.7951 481.2692 Tm (3.1)Tj /T1_2 1 Tf ( )Tj EMC /Span <>BDC /T1_7 1 Tf 2.563 0 Td [(W)93(orkload)]TJ /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 125.7951 455.9722 Tm (The)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.111 0 Td [(w)27(orkload)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.336 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.195 0 Td (this)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.006 0 Td [(attac)27(k)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.111 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.061 0 Td (less)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.9 0 Td (than)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.389 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.778 0 Td (e\256ort)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.697 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.778 0 Td (sender)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.175 0 Td (and)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2 0 Td [(receiv)26(er)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf -29.537 -1.241 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.133 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.716 0 Td (message)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.837 0 Td [(m)26(ust)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.471 0 Td [(exp)-28(end)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.439 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.216 0 Td (encrypt)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.635 0 Td (and)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.938 0 Td (decrypt)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.635 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.715 0 Td (message.)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.232 0 Td (The)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.049 0 Td (only)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf -31.016 -1.242 Td (bulk)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.216 0 Td (data)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.244 0 Td (handling)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.077 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.688 0 Td [(attac)27(k)27(er)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.83 0 Td (has)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.749 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.188 0 Td (do)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.355 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.971 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.188 0 Td (store)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.418 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.689 0 Td [(v)55(alues)]TJ /T1_2 1 Tf ( )Tj /T1_3 1 Tf 2.932 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 436.9822 427.2341 Tm (i)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 442.0436 428.8746 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.931 0 Td (C)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 459.9986 427.2341 Tm (i)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 466.6505 428.8746 Tm (in)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.131 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf -32.365 -1.242 Td (hash)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.339 0 Td (table)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.5 0 Td (and)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.945 0 Td (detect)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3 0 Td (collisions.)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.623 0 Td (All)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.639 0 Td (other)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.614 0 Td (computations)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 6.228 0 Td (are)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.669 0 Td [(constan)27(t)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.033 0 Td (time.)Tj /T1_2 1 Tf ( )Tj EMC /Span <>BDC /T1_7 1 Tf 11.9533 0 0 11.9533 125.7951 381.4113 Tm (3.2)Tj /T1_2 1 Tf ( )Tj EMC /Span <>BDC /T1_7 1 Tf 2.563 0 Td [(Probabilit)30(y)]TJ /T1_2 1 Tf ( )Tj /T1_7 1 Tf 5.9 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_7 1 Tf 1.281 0 Td (success)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 125.7951 356.1242 Tm (If)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.067 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.9 0 Td (collision)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.907 0 Td (in)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.233 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.786 0 Td (X)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.307 0 Td [(v)55(alues)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.044 0 Td [(o)-28(ccurs)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.158 0 Td (then)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.345 0 Td (this)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.017 0 Td [(attac)26(k)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.123 0 Td (succeeds)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.078 0 Td (almost)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.294 0 Td (cer\311)Tj -31.259 -1.242 Td [(tainly)83(.)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.478 0 Td [(\(W)83(e)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.214 0 Td (only)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.298 0 Td [(ha)27(v)27(e)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.409 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.937 0 Td (problem)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.995 0 Td (if)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.02 0 Td (there)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.662 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.109 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.937 0 Td (second)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.331 0 Td (pair)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.162 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.243 0 Td [(blo)-27(c)26(ks)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.136 0 Td (with)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf -30.931 -1.241 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 136.378 327.3862 Tm (i)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 142.6698 329.0266 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.043 0 Td (C)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 161.8551 327.3862 Tm (i)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 169.4673 329.0266 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.165 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 192.7638 327.3862 Tm (j)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 200.0458 329.0266 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.043 0 Td (C)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 219.2312 327.3862 Tm (j)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 227.9637 329.0266 Tm (that)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.232 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.071 0 Td (not)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.845 0 Td (due)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.955 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.288 0 Td (an)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.451 0 Td (X)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.306 0 Td [(v)55(alue)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.649 0 Td (collision.)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.425 0 Td (This)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.349 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.072 0 Td [(v)27(ery)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf -31.006 -1.242 Td [(unlik)27(ely)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.75 0 Td (to)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.223 0 Td [(happ)-27(en.\))]TJ /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 451.4462 301.1888 Tm (2)Tj EMC /StyleSpan <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 456.1875 297.2277 Tm (2)Tj EMC /P <>BDC /T1_0 1 Tf 7.9722 0 0 7.9722 461.6391 301.1888 Tm (\241)Tj /T1_5 1 Tf (129)Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 125.7951 297.2277 Tm (The)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.951 0 Td [(probabilit)27(y)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 5.011 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.035 0 Td [(ha)27(ving)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.119 0 Td (an)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.28 0 Td (X)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.136 0 Td (collision)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.735 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.901 0 Td [(ab)-28(out)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.759 0 Td (\()Tj /T1_3 1 Tf 0.385 0 Td (m)Tj /T1_6 1 Tf 0.892 0 Td (\241)Tj /T1_1 1 Tf 0.792 0 Td (1\))Tj EMC /StyleSpan <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 386.448 301.1888 Tm (2)Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 391.1794 297.2277 Tm (2)Tj EMC /StyleSpan <>BDC /T1_0 1 Tf 7.9722 0 0 7.9722 396.6309 301.1888 Tm (\241)Tj /T1_5 1 Tf (128)Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 416.4164 297.2277 Tm (=)Tj /T1_1 1 Tf 0.5 0 Td (2)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 0.778 0 Td (\274)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (m)Tj /T1_1 1 Tf 3.624 0 Td (.)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -32.588 -1.241 Td [(F)83(or)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.703 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.742 0 Td (message)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.753 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.048 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 210.2887 287.635 Tm (32)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 221.892 283.6839 Tm [(blo)-28(c)27(ks)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.941 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.63 0 Td [(probabilit)26(y)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 5.023 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.048 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.631 0 Td [(attac)27(k)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.964 0 Td (succeeding)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.859 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.914 0 Td (around)Tj /T1_2 1 Tf ( )Tj EMC /StyleSpan <>BDC /T1_1 1 Tf -29.816 -1.242 Td (2)Tj EMC /P <>BDC /T1_0 1 Tf 7.9722 0 0 7.9722 131.2566 274.0912 Tm (\241)Tj /T1_5 1 Tf (65)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 146.8109 270.1301 Tm (.)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.841 0 Td [(F)82(or)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.835 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.874 0 Td (message)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.884 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.179 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_5 1 Tf 7.9722 0 0 7.9722 246.2188 274.0912 Tm (40)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 259.2624 270.1301 Tm [(blo)-27(c)27(ks)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.072 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.762 0 Td [(probabilit)27(y)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 5.155 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.179 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.762 0 Td [(attac)27(k)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.096 0 Td (succeeding)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf -28.256 -1.241 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.005 0 Td (around)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.392 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_0 1 Tf 7.9722 0 0 7.9722 179.22 260.5374 Tm (\241)Tj /T1_5 1 Tf 0.827 0 Td (49)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf 10.9131 0 0 10.9131 194.7744 256.5863 Tm (.)Tj /T1_2 1 Tf ( )Tj EMC /P <>BDC /T1_1 1 Tf -6.321 -1.673 Td (Our)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.098 0 Td (detection)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.372 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.179 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.759 0 Td (X)Tj /T1_1 1 Tf 0.906 0 Td (-collisions)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.605 0 Td (is)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.045 0 Td (not)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.818 0 Td [(p)-28(erfect.)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.844 0 Td [(W)83(e)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.761 0 Td [(exp)-28(ect)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.207 0 Td [(t)27(wice)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.623 0 Td (as)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.267 0 Td [(man)27(y)]TJ /T1_2 1 Tf ( )Tj /T1_3 1 Tf -30.484 -1.241 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 136.378 223.147 Tm (i)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 142.6098 224.7874 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.038 0 Td (C)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 161.7451 223.147 Tm (i)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 169.2072 224.7874 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.152 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 192.3637 223.147 Tm (j)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 199.5957 224.7874 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.038 0 Td (C)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 218.7311 223.147 Tm (j)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 227.3835 224.7874 Tm (collisions,)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.583 0 Td (half)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.031 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.198 0 Td [(whic)27(h)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.919 0 Td (are)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.723 0 Td (X)Tj /T1_1 1 Tf 0.907 0 Td (-collisions.)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 5.13 0 Td (This)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.341 0 Td (means)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf -30.14 -1.242 Td (that)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.142 0 Td (once)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.253 0 Td (the)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.698 0 Td [(attac)27(k)28(er)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.839 0 Td (detects)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.37 0 Td (an)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.361 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 296.3928 209.6032 Tm (i)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 301.6643 211.2336 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.95 0 Td (C)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 319.8394 209.6032 Tm (i)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 326.2512 211.2336 Tm (=)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 348.3474 209.6032 Tm (j)Tj /T1_2 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 354.6191 211.2336 Tm (\251)Tj /T1_2 1 Tf ( )Tj /T1_3 1 Tf 0.951 0 Td (C)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 372.7942 209.6032 Tm (j)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 10.9131 0 0 10.9131 380.5464 211.2336 Tm (collision)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.815 0 Td (he)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.309 0 Td (has)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.759 0 Td (a)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 0.809 0 Td (50%)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf -31.036 -1.241 Td [(c)27(hance)]TJ /T1_2 1 Tf ( )Tj /T1_1 1 Tf 3.249 0 Td (of)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.14 0 Td (succeeding)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 4.95 0 Td (with)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 2.278 0 Td (this)Tj /T1_2 1 Tf ( )Tj /T1_1 1 Tf 1.951 0 Td [(attac)27(k.)]TJ /T1_2 1 Tf ( )Tj EMC /Artifact <>BDC /T1_1 1 Tf 2.614 -5.032 Td (5)Tj /T1_2 1 Tf ( )Tj EMC ET endstream endobj 927 0 obj <>stream BT /P <>BDC 0 g /T1_0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 14.344 0 0 14.344 125.7951 701.0808 Tm (3)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.688 0 Td (An)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.85 0 Td [(attac)31(k)]TJ /T1_1 1 Tf ( )Tj /T1_0 1 Tf 3.406 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_0 1 Tf 1.563 0 Td (OCB)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 125.7951 672.0326 Tm (Our)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.951 0 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.949 0 Td [(pro)-28(ceeds)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.984 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.06 0 Td [(t)27(w)28(o)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.781 0 Td (steps.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.865 0 Td (First,)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.631 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.365 0 Td [(w)27(ait)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.087 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.424 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.726 0 Td [(sp)-28(eci\257c)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.372 0 Td [(t)27(yp)-27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.142 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.032 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -29.369 -1.242 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.295 0 Td [(o)-28(ccur)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.771 0 Td (on)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.462 0 Td (128-bit)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.463 0 Td [(v)55(alues.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.586 0 Td (Once)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.629 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.023 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.913 0 Td [(o)-28(ccurs,)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.461 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.544 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.907 0 Td [(mo)-28(dify)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.434 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.488 -1.242 Td (ciphertext)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.805 0 Td (\(and)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.386 0 Td [(thereb)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.667 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.775 0 Td [(plain)27(text)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.275 0 Td (after)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.417 0 Td (decryption\))Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.417 0 Td (without)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.775 0 Td [(mo)-28(difying)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -28.517 -1.241 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.632 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 6.548 0 Td (tag.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.081 0 Td (In)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.16 0 Td (e\256ect,)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.844 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.632 0 Td [(authen)27(tication)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 6.548 0 Td (tag)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.632 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.915 0 Td [(en)27(tirely)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.523 0 Td [(ine\256ectiv)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -28.515 -1.242 Td (at)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.222 0 Td (stopping)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.061 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.845 0 Td (forgery)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.394 0 Td (once)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.277 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.723 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.839 0 Td (has)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.783 0 Td [(o)-28(ccurred.)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -22.144 -1.672 Td (Our)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.033 0 Td (\257rst)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.038 0 Td [(attac)26(k)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.03 0 Td (will)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.864 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.702 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.808 0 Td (single)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.757 0 Td (large)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.422 0 Td (message.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.225 0 Td [(W)82(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.696 0 Td [(c)26(ho)-26(ose)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.147 0 Td (random)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.644 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -29.366 -1.241 Td [(blo)-28(c)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_3 1 Tf 3.018 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 169.3172 584.3981 Tm (1)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 174.0486 586.0386 Tm [(;)-167(:)-166(:)-167(:)-167(;)-166(M)]TJ /T1_5 1 Tf 7.9722 0 0 7.9722 208.8783 584.3981 Tm (m)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 220.3515 586.0386 Tm [(sub)-55(ject)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.463 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.209 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.708 0 Td (restriction)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 4.771 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 352.6286 584.3981 Tm (4)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 359.4805 586.0386 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.972 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 380.6664 584.3981 Tm (5)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 387.5183 586.0386 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.972 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 408.7043 584.3981 Tm (6)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 415.5562 586.0386 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.972 0 Td (M)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 436.7421 584.3981 Tm (7)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 444.5043 586.0386 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.055 0 Td (0.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.218 0 Td [(W)82(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.477 -1.242 Td (let)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.429 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.706 0 Td (sender)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.104 0 Td (encrypt)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.626 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.935 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.829 0 Td (giving)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.956 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.707 0 Td (ciphertext)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 4.729 0 Td (C)Tj /T1_4 1 Tf 7.9722 0 0 7.9722 406.6437 570.8543 Tm (1)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 411.385 572.4848 Tm [(;)-166(:)-166(:)-167(:)-167(;)-166(C)]TJ /T1_5 1 Tf 7.9722 0 0 7.9722 443.424 570.8543 Tm (m)Tj /T1_3 1 Tf 10.9131 0 0 10.9131 451.4062 572.4848 Tm [(;)-166(T)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.168 0 Td (.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.717 0 Td (As)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.722 -1.241 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.754 0 Td (last)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.927 0 Td (message)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.877 0 Td [(blo)-27(c)26(k)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.67 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.038 0 Td (treated)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.479 0 Td [(di\256eren)26(tly)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.786 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.504 0 Td (will)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.922 0 Td (not)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.81 0 Td (use)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.76 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.032 0 Td (or)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.258 0 Td [(mo)-28(dify)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.393 0 Td (it)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -32.21 -1.242 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.166 0 Td (our)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.78 0 Td [(attac)26(k.)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -2.946 -1.672 Td (The)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.081 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.865 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.497 0 Td [(w)26(an)28(t)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.471 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.248 0 Td [(ha)27(v)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.332 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.031 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.859 0 Td (pair)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.084 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.165 0 Td (indices)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.309 0 Td (\()Tj /T1_3 1 Tf 0.382 0 Td (i;)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.788 0 Td (j)Tj /T1_2 1 Tf 0.47 0 Td (\))Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.747 0 Td [(suc)26(h)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.282 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.191 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 449.1356 525.5016 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 456.0175 527.1421 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.098 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 477.0434 525.5016 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 481.4246 527.1421 Tm (.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -32.588 -1.242 Td [(W)83(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.722 0 Td (de\257ne)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.889 0 Td (\242)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.111 0 Td (:=)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.334 0 Td (\()Tj /T1_3 1 Tf 0.386 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 212.6594 511.9578 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 218.461 513.5883 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 235.0256 511.9578 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 239.4069 513.5883 Tm (\))Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 0.61 0 Td (\242)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_2 1 Tf (.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.403 0 Td (When)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.916 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.95 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.84 0 Td [(o)-27(ccurs)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.091 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.471 0 Td (also)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.006 0 Td [(ha)27(v)28(e)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_3 1 Tf -17.254 -2.246 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 255.8015 487.451 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 261.6131 489.0814 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 278.1677 487.451 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 283.9693 489.0814 Tm (\242)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.958 0 Td (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 321.98 487.451 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 328.7919 489.0814 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 345.3465 487.451 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 352.1484 489.0814 Tm (\242)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -6.401 -1.515 Td [(\242)-277(=)]TJ /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.166 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 321.98 470.9063 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 327.7916 472.5468 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 349.2776 470.9063 Tm (j)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 287.1402 456.0122 Tm (Y)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 293.472 454.3717 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 299.8838 456.0122 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (Y)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 317.7288 454.3717 Tm (j)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_3 1 Tf 10.9131 0 0 10.9131 248.0093 439.4675 Tm (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 255.8015 437.8371 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 261.6131 439.4675 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 278.1677 437.8371 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 283.9693 439.4675 Tm (\242)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.958 0 Td (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 319.1992 437.8371 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 326.0011 439.4675 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 342.5557 437.8371 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 349.3676 439.4675 Tm (\242)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.5 0 Td (L)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_3 1 Tf -8.838 -1.515 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 268.9551 421.2924 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 274.7668 422.9329 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 293.472 421.2924 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 299.8838 422.9329 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 321.98 421.2924 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 328.7919 422.9329 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 347.4971 421.2924 Tm (j)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 125.7951 398.426 Tm (The)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.1 0 Td (last)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.938 0 Td [(equalit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.85 0 Td [(allo)27(ws)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.023 0 Td (us)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.328 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.266 0 Td (recognise)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.331 0 Td (this)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.995 0 Td [(t)27(yp)-27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.294 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.183 0 Td (collision.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.361 0 Td [(W)82(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.766 0 Td (sort)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.053 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.488 -1.242 Td [(blo)-28(c)27(ks)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.151 0 Td [(b)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.508 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 187.2223 383.2418 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 193.8841 384.8722 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.079 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 213.4596 383.2418 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 221.7719 384.8722 Tm (and)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.063 0 Td [(lo)-28(ok)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.286 0 Td (for)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.649 0 Td (collisions.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.979 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.914 0 Td [(an)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.008 0 Td (pair)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.178 0 Td (\()Tj /T1_3 1 Tf 0.381 0 Td (i;)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.788 0 Td (j)Tj /T1_2 1 Tf 0.47 0 Td (\))Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.841 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.59 0 Td [(ha)27(v)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.425 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -32.367 -1.241 Td [(c)27(hance)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.345 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.235 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_7 1 Tf 7.9722 0 0 7.9722 181.2206 375.2896 Tm (\241)Tj /T1_4 1 Tf (128)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 205.6874 371.3285 Tm (that)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.261 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 239.3969 369.688 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 247.5491 371.3285 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.214 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 269.8454 369.688 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 274.2266 371.3285 Tm (.)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.009 0 Td (If)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.095 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 306.2256 369.688 Tm (i)Tj /T1_6 1 Tf 10.9131 0 0 10.9131 314.3678 371.3285 Tm (6)Tj /T1_3 1 Tf 1.214 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 336.6641 369.688 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 345.7266 371.3285 Tm (then)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.373 0 Td (there)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.654 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.101 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.929 0 Td (2)Tj EMC /StyleSpan <>BDC /T1_7 1 Tf 7.9722 0 0 7.9722 428.1697 375.2896 Tm (\241)Tj /T1_4 1 Tf (128)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 452.6366 371.3285 Tm [(c)27(hance)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -12.67 0 Td (=)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -17.28 -1.242 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.136 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 159.6845 356.1442 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 164.816 357.7747 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.939 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 182.851 356.1442 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 189.2628 357.7747 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 211.369 356.1442 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 217.5007 357.7747 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.939 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 235.5358 356.1442 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 243.2179 357.7747 Tm [(an)27(yw)28(a)28(y)83(,)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.754 0 Td (so)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.196 0 Td [(w)26(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.441 0 Td [(exp)-28(ect)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.137 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.135 0 Td (half)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.942 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.691 0 Td (instances)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.258 0 Td (where)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf -30.314 -1.241 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 136.378 342.5904 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 141.2194 344.2309 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.911 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 158.9643 342.5904 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 165.3661 344.2309 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.056 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 187.4723 342.5904 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 193.304 344.2309 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.911 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 211.0489 342.5904 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 218.581 344.2309 Tm (are)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.625 0 Td (due)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.845 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.178 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.789 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.795 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.095 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.673 0 Td (X)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.195 0 Td [(v)55(alues.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.351 0 Td [(F)82(or)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.751 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.678 0 Td (rest)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.908 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.095 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -31.481 -1.242 Td [(attac)27(k)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.121 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.537 0 Td (assume)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.522 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.232 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.788 0 Td (collision)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.905 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.071 0 Td (due)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.955 0 Td (to)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.288 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.781 0 Td (X)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.306 0 Td [(v)55(alues.)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.563 0 Td (\(This)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.738 0 Td (implies)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -29.807 -1.241 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.133 0 Td (when)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.579 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.438 0 Td (\257nd)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.968 0 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.798 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 233.6753 315.4928 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 238.7667 317.1333 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.934 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 256.7517 315.4928 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 263.1635 317.1333 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 285.2697 315.4928 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 291.3514 317.1333 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.934 0 Td (C)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 309.3464 315.4928 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 316.9986 317.1333 Tm (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.689 0 Td (rest)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.92 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.106 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.689 0 Td [(attac)26(k)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.023 0 Td (succeeds)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.979 0 Td (with)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf -30.927 -1.242 Td (a)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.833 0 Td [(probabilit)27(y)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 5.115 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.139 0 Td (50%.\))Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf -7.087 -1.672 Td [(Giv)27(en)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.895 0 Td (that)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 2.166 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 190.063 283.6939 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 196.4748 285.3344 Tm (=)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1.055 0 Td (X)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 217.0306 283.6939 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 221.4118 285.3344 Tm (,)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.611 0 Td [(w)27(e)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.471 0 Td (can)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.834 0 Td [(no)27(w)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.083 0 Td [(reco)27(v)27(er)]TJ /T1_1 1 Tf ( )Tj /T1_3 1 Tf 3.42 0 Td (L)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.014 0 Td [(b)28(y)]TJ /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_3 1 Tf -8.846 -2.246 Td (L)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.958 0 Td [(=)-278(\()]TJ /T1_3 1 Tf 1.445 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 275.527 259.1871 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 281.3286 260.8275 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 1 0 Td (M)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 302.8246 259.1871 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 307.2058 260.8275 Tm (\))Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 0.61 0 Td (\242)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 0.5 0 Td (\()Tj /T1_3 1 Tf (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 329.222 259.1871 Tm (i)Tj /T1_1 1 Tf ( )Tj /T1_6 1 Tf 10.9131 0 0 10.9131 335.0236 260.8275 Tm (\251)Tj /T1_1 1 Tf ( )Tj /T1_3 1 Tf 0.999 0 Td (\260)Tj /T1_5 1 Tf 7.9722 0 0 7.9722 351.5783 259.1871 Tm (j)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 10.9131 0 0 10.9131 355.9595 260.8275 Tm (\))Tj EMC /StyleSpan <>BDC /T1_7 1 Tf 7.9722 0 0 7.9722 360.2007 265.3288 Tm (\241)Tj /T1_4 1 Tf 0.827 0 Td (1)Tj /T1_1 1 Tf ( )Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 125.7951 236.3207 Tm (where)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.922 0 Td (the)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.754 0 Td [(in)27(v)28(ersion)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 4.233 0 Td (is)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.037 0 Td (of)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.17 0 Td (course)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 3.095 0 Td [(tak)27(en)]TJ /T1_1 1 Tf ( )Tj /T1_2 1 Tf 2.753 0 Td (in)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.198 0 Td (GF\(2)Tj EMC /StyleSpan <>BDC /T1_4 1 Tf 7.9722 0 0 7.9722 349.3076 240.2718 Tm (128)Tj EMC /P <>BDC /T1_2 1 Tf 10.9131 0 0 10.9131 362.5113 236.3207 Tm (\).)Tj /T1_1 1 Tf ( )Tj /T1_2 1 Tf 1.204 0 Td 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