crypto1 - e xevw 09dx~ w | v GG|f e|rtdIr}s |uet|u{zm fxyx...

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Unformatted text preview: e xevw 09dx~ w | v GG|f e|rtdIr}s |uet|u{zm fxyx ur x k k h w xGexuxjigfvGeuxr tu tdrCupqs rnyGofy IuGt nmxr l &GxAusq ywv tr i g ec a W X W T T TR P H DB @ 8 6 ph Sfdb`Y$V 99USQIGFECA975 3 4 1 ( % ! 20) '&$# " G E F)DC ' [email protected] 7! 6 $ 531 0! ' ("& %# ) 4 2 ) ' ' $ ! " H W P C6 8 @ B 3 H F H D # BP h 6 0c 0 c DP Pic HP A(6 B jP "(6 jQi 6 3 G5c 3 3 `B CCc i i 6 jrh 3 D 9j2$h c H P Aph 0 i @ GPD $ehD 9c%i 6 3 c c CH 3 h tP @ h e 0C 3 t [email protected] 6 c H P [email protected] g # P i 0 F D 6 cB c # 6 D #cP !D P# F 8 ! h [email protected] i Dj68hYw7c F j65c g eC c i 0 D Di jP @ A c ! i 6 jP 3 h jErh hD 6 F H Bc D BPP i Dph g jP 'D tP @ B 3 @ GPEC 3 t 4B `e fc i w 2@ de 9ph P Q8 Dg cH 6 8 DB c 3 6 P i W h P i B 6 c B 6 g cjP ci Py6 i D 1ph )Q6 jreh(6 'D 2ei c CH 3 &6 %@ h $h c H 6 6 0 i i D P # F D D h e# B ! " c 6 Q6 2D 6 P8 @ B 3 @ oD C 3 tt28 g 6 3 x 0c H QH c i P P B c BcP i cB @ @ 8 B F6P B D 9H yh IUt8 @ `5 3 jh ' ' ! ' $ ' ' ! ! ' 6 "D ! ' ' ) 8 ) 8 ) 8 ) 8 1) 8 8) 8 8 ' ! ' 1 B1 ) D ' 8 B1 ) ! " ' ' 1 & WP8 g2 Di #( @E H 3 gc BQu 2tP2('DA(6 C0 h 1Up c ejP h rI(6 C0 6 g h 6 P 8 6 # g @ 0 i h gD P h # g @ c iQ6 i 6 jP 8@ B 3 c$B c 020$tP @ B 3 cjP tP C 'D 2$tQeiUh# " D i 6 g P @ 6 8 H 6 0c P #cP D ghcB Ug0jP W P 8 ieD 3 3 6 H 3 gc7B u 2tP2(dD 3 3 6 #c i 6 1Uh # h 6 P8 6 0 i c eDjP h rh 3 3 6 cQ6 Q6 jP @ B 3 ic Qu gtE%E&6 8 @ B 3 jP tP g P # i i D 8 B 6 cP @ P cH 6 0 c B Cc ph H 3 CHSe C(3 3 6 # jPpc # ! CC%F6 9eD cU(6 B D 2#$tPQieU# " D H Fi 0c# Pi i 3 P c Dh 3 6# 3 ' C 6 ) 1) # B i &h c c F Di ! c c HSeC7D D 9 9 3 Ejfc g E B DBP g @ D 9 9 3 EB fc g C@ D P g D C ' 6 ' 4 8 ) ' 8 ) D 0 B h 4pde B "Cc u2C H D8 3 3 3 6 9 $tP b D8 3 6 P ph 8 6 ! 0 c B c # P#c Bc H B c F peh# P 3 h 0 A(H 2$c 9eipeh8 Di c 2pbH 3 # $h g ! i D6 D B c #6 P# P D # Fih # c h P 3 CC0b$c P i 0 A(H 2$tP # D 0cB 8 6 # 6 P#c ! c H D8 3 Q2$tQeU8 i SQph H 3 # $h g &7P 3 ! i D6 2Q75 B i 6 P # c P iD h# D c F i # 6 c c i 6 3 3 h P P h c 3 B 7t24b Ej5c B tP A(6 c c F peh# c 0 1(6 j c 3 Y8 2fc 6 !cP B P D 6 H F i B # H h @ P# B 2$c P c H D8 3 g 6 Ci ph P $$c o@# D 8gyi 0 1(6 j fc B 0c D 6 h c P 6 # H @ P# B 2$c P c H D8 3 Q0 Ci ph P $6 c o@# D 8gc yi 0 1(6 j 2$tQeiUh# " g 6B 0c D h P 6 # H P # c P D F F ! D 9 i ph P $6 1ph i 6 jP 8 @ B 3 c D 0i D i B 9ph oPD g ph 3 U3 3 h P P h c H P ! 2$c 9eipeh8 c $6 `5 6 @i i Bc P# P D # i H i e6 B Sgi 3 c ph "# $h Aph H P ! $tQi ph8 Sgi 6 # 0 i 6 P #cP D # i e6 i e Sg6 i 3 c ph &6 c Qt Aph jyE! $tQi ph8 $ehD P ph " B g6 0i HP6 P #cP D # # B 0 c c Cc 65"F @ h g Di 1Q8 5c B Q6 3 F 0i6 B cH 6 #h jP &`D # $dB 6 P ph {9 1ph )Sg6 i 3 'D ! 2$c 9eipeh8 Cc G5c B 8 0i i e P # P D # 0 fy3 @c D cP D 0 i trhC1ph 3 h B 2$c 9eipeh8 0 eD&9D D 9 c eiD g tfc 0 tP 6 P# P D # #h BcP 6 Pc E5tP h D c jP 1ph )Sg6 i 3 'D ! 2$c 9eipeh8 c 8rCIU6 3 `V BcH 0i i e P# P D # #h DiF c P i GQC(6 3 @ ojQph 2Sg6 i 3 D GAi &! GAi 6 ! 2$c P c H 8 `5 PD P i i e @# 6 @# P # B D W t$h 1i F 6 iB 6 E24 AYF tS @ h "$A6 02o@# 6 # 0 P P 0 i 6P c g # h F P ! h i P bph 8 @ B 3 c H W g6 i 3 y6 i 5c 6 0 2 D 9 g6 i 3 e P P e P02o@$h ph P 8 @ B 3 c H P rh H P Cc C 68h D oPD P (6 h 02o@$bUh 8 @ B 3 # i P 0 g P # h i P cH jP 6 P c eh# p9 h c 2Cc # g6 i 3 &6 9i (6 Uh A CbF D G8eh# 3 (3 3 h EP # D h F 0 e P g @ 0c P C 1 ) 6 1 ) 00$ 5 4% & 3 % 0H % $ # ! ! 2 1 ) % $ # ! ! 00$ ( '% & " G ' ' 6 Alice Alice M M K K E E Asymmetric Cryptography System Model Symmetric Cryptography System Model E(M,K) insecure channel E(M,K) insecure channel K secure channel K secure channel D D K M M K -1 Bob Bob ) D '# D '(6 C0 `B 6 R 9 W 3 fc 5 5 X 6 5 # g@ R P D '(6 C0 ) 1ph W C c g C 5c 8h 3 jy6 # g @ 9 0 i B i HP 6 g@ R E 9 R eWWW T ! c Efc # c g B PP B ' ' ' 8 ) ) ) a & 'G $ % 9Erh HjP H 3 D P B c 0 'D !Ai W"i 6 jP 3 c b h'D 1ph D D 0 i 6tQi 6 01Uh c i 6 6 d7Q6 P i ! P! c i H3 D 9 P h H rbjP D 9 P Erh H jP H 3 c 'Se D B c H P 6 Qc P i g # Bc c Cc @ A c # " D 9 &$QF h g c H P rbjStyda 6 c D Ph HP cP6 D Q6 jrh 2 Ec 8 h i DP P gB $h yt`D D i 6 jP 3 c b h # P 6 P D D D 9 D `DQ6 jP 3 c i 9 c i 6 6 d7Q6 i D D ! P! c i D Di 6 jP 3 c B 9 tQQ6 D 6Pi D i 6 jP 3 i #$ehD P Bph 8 'D h B u Cc i F 0 D D $h ytP 6 0 c # P 6 i D6 P 3 i 'D ' 1 ) ) GG c 3 hY8 fy3 c H P &6 j j`D 5 6'D jyi @c c D c H P c B c H P 6 @c3 fUc H P 6 j jP D c 6'D i c D c H i 6 jP 3 c b 'D D D h c BSe D 9E D & Q6 jP 3 C CAfU3 5c GPI $h c F x cH 9 i D i [email protected] D # Bci i W Gb D8 3 c 0 P i Uh 3 D B c H 6 i c # B6 tCc Q{9 2i D6 P 3 i c 'D P A eiD i 6 Cc 8h 'D Qbyh IUtP @ `5 # Bc 0 @H8 BF6 8 B W # D Bc 9c jP A Di o@# $h ytP c pS Q6 jP 3 c b [email protected] # P 6 Bh i D D # ! ' D ' ' ) ) HG D c jrh 2 g g 6 3 'D DP P Wc DP P 9A jrh 2 g g 6 3 6 '$h @ h g 1Uh D A8 (6 IF c # 0 i B ctGPDCiYF Di Ct050tQ Di c ph `9 tGPCi % Di B 6 toPD i F c @ h g (6 B 0 c P cB c P B c e c D F c 8 rh H P H 3 ! P t c Bc i a A x D x9 W D PhH rbjP H 3 @ GPjQc DPi 0 D9 W 9 D 9 A jrD c DPh 3 t6 D 9 W R 6 5 D 5 7x9 W Ct&6 # 0 c !70B c D W fD a w9 9c c eBC2 5 Pi g D Fi DSeg6 # ( B u jP 5c F 'jrj P bjb i 6 i 6 jP 3 i @ pb Di h # 6 6 c H DPh h HP D Bh Pc ft h D c Se B pY8 h D 8 (6 IF BcH Dh B 0 i Aph 8 3 ) ) ' ) G W! T @c 0ih P # g@ cH c fU3 Apfc (6 C0 jP &6 D c j`'D HP c Se BcH 1 ) ) ' ! C R ' "F ' ' ! 8 ) ) ' "F ' ! ! ) G D W DP P gBc i 6 jrh 2 E8 &6 i $c P h 3 C1 Di t`GoPD c 6 D 0 6P HPFi @c jp2c # fU3 ! i D6 P h P E8 $h QF @ D 3 c t 0 gBc # Bc ic 8 P 6 ' ' ) ) c 0 g P 0 i Aph 1Uh ! T 0 i ! D 9 c Dg b8 [email protected] D P hCc B B #c # @c BcH fU3 c Se ) ) ' ! ' c # tCc c g EB 8 [email protected] jrehCc B 0 g D #c DP # c P W9c A Di ph A bH Bc i c h Aph ! 0 i Pyi 5I0 6 c6 @c BcH fU3 c Se ) ) ' " ' ! &G P#c 2$tP !"eDpe#8 &6 gph IFU6tED $@ 3 ic% c Cc P B 6 CtP 3 c C$c c H P jr# C`e i h B P H B 0 0 c 8# c HP #c H 3 P h g 0 #1(6 j 2#$c P Bc H D8 3 &6 ph IUt0'CH @ 3 c 2 c CtP B 6 H P g B F6P D i B 0c 3 h Erh Cc 8Y "@ 3 % 0 3 3 h EP PP 0 h ! ic cB P 3 c 3 h t%fU3 &$D 8 @c 6 c 3 3 h EP P G 1 ! % & % ! $ ! 1 & 10 12 14 2 4 6 8 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Frequency Distribution - English !G ! $ ! 1 ) 4&$ %1 % ! 10 12 14 2 4 6 8 E T A O S N I R H D L C M U P F GW Y B V K X J Q Z Sorted Frequency Distribution - English # 3! # $ # $ 1 & ! 1 1 # ' "F( ' " ! ! Polyalphabetic Substitution GOGAT ORSBE ATNOL ES 61601 11114 01111 41 4 9 478 9341 8 SECSE CSECS ECSEC SE 14214 21421 42142 14 8 8 8 8 8 8 21812 13232 42311 22 48 83 652 2 1183 22 21812 19232 42511 22 48 83 6 2 2 1 83 22 YSISX QJWDW EVFSN WW Plaintext: ptxt - numerical: Key: key - numerical: ptxt + key: ctxt = ptxt + key modulo 26: Ciphertext: 6 G &gc #h P c ci DIFD h B gph BIFU6tED H @ 3 c2 c ctEPrh P i B i P ) & G i D6 P cjP H cH jP ! D H T T I D 9 R cA h H 0 1 e tP 3 h ph H 3 H 3 g)jyI6 g o@# P 3 u c 8 # 6 Bc B hc HP6 c B D P 'EB 0D 0 c H P 5cy$h g i 6 jP @ B 3 c Ap9 7fc bb8 &h Uh g `V 3 D 8 i 0 ih DP h H # i 6 g 6 '# gE B u 9 R W 2$tP c H P 6 tP 3 h pbH 3 B 6 @ 6 P#c Bc Bh eiD pgc 8 8 h H 3 D Se jGPSe @ 3 c 2 c jP 'D E c c Se Bh H H D i B c H D 9 B H D D 9 9 h rhbcjP Di &6 @ 3 c 2 c A D P Cc B jP c D 9 fc P 0 H i B c h# c H P W Uh AUtP g BF6 @ 3 c 2 c B c jP eiD c 3 ipheEBp96 0C gc g h D 5 c H i H D h cB h c 3 c 0 D 3 eiQ6 3 &6 $1i ' 3 3 h EP i D #c 0 D P &H W# A c @ A yi ! 6 t79i (6 Uh Bc P6 Bc 6P P g 0 1 6e '# 6 gE# $h A 6 c 5jP 2eD g g BW 8 5c B C2fc # $p 1Uh # @ # Bc c H F i D @ # h 0 i 3$gc 8dB 9 5 #$9 cA jrh sci 1ph A joj&8 A h H t5c H P c 3 eD h 6 c h D P F 0 i c D PD 6 c c i RI D 9 D 9 B 6 7D(R th 3 'CH P i d9 c F h A jP 1Uh c D D Bc h cH 0i @ 3 2 c cA jrhCc BCc Bc A$6 oPDc c`e fc 3 c B DC0 c jP 0 i c B D P # 0 i Pc i c H P D ( E c " Di h B u Q6 j2 EjP0'C0 &6 @ oD gEB DCi %iQi c H # 6 g @ # F 6 i D P D B D P 6 6 63 5 9 D P 7i GH # # Fi jGPA 5c B D # c D A jGPD $6 8 D gGD @ BjP ! 4B 6`e 5I0 o# $gc B 'CH 9 WP 3 c 6 @ # h D D4D 9 9 D # # D 9 9 D i 6 jPreEph9 &6 c C 8gc c i 6 t"5c g i D hD B B h g 6 B cH B jP c F Bpeh# c jP )Q6 DjrehEph9 jP Btrgc IF jP 1Uh H i P DB c H cPh B c H 0 i # #&h cj5U$h g 5c joD EB u D iC%i 6 i ct5c H P F2eEph 2 g HP c3 DP g 6 iD B 63 5 9 D P 7i HH D 9 D D E 9 D E 9 9 'D c jP &6 jy6 2e bH Ap2$c SjP 6 g c H H P F iD h 0 i h P # P c H P 2(6 BtP 3 h pbH 3 9i0D 0 e P Di 3 3 b8 &6 @ GPD # bY$0b8 jP 6 c B h P cBc 6 F D D h 6B c H D D D E 9 9 9 D D # D h c h# p9 h`c Q6 # i D CtP 3 c Cc c i d0 B F c jP B Fi 6 0c # 6 P H c 3 i j BtP 3 h BpbH 3 1i 6 3 c c jP8h it$6 H 3 c i Dph F h # # Se rh jP D c h 0 H c D P H @ oPD # bY 6 b8 1iUx9 @ 3 i% 0 cA jreh#Cc B GoPD P$tF2eiCieph 0c jP Dh B 0 h c cB DP #cP D D gcB H Di ijP tP 3 h phbH 3 0 B F cj8h g 0Aph B Prh t$6 H 3 D cH Bc B P HP 6 i ic 63 5 9 D P 7i H W i 6 jrh P DP ! 8 g 6 3 jP eD 5U$h g`2$tP &iQi (6 ph toD i h rbjc 3 c c H i c3 P #c 6 P g cP F Ph HP i Bc ! D 0 jP`Qu 9i (6 3 3 h G# $h 3 F D 3 8 1Uh Ec dQUh 0 Q6 3 rh jP cH B6 P @# c 0 i gB P P i P i P H P i 5ctrh eD Dg #Cc 0 5 gP BUY8 F Di 05c tQeD jP g 6 Cc P 3 h j P W h P BcP i c H B 0 BP 2@ hdG&h 'D PrbjP R Ec P PQph 0 i 6 3 G5c Ct2 h 8h H A 8h e# h H g B i P # c c 6 c B 8hgc g i 6 jPrehEp9 jP PrbjP D oPPrh 2eiDI(6 6 &6 @ h e jyi D DBh c H h H D F 3 # Bc HP6 D 9 D D E 9 D E 9 9 C'#(6 [email protected] # &hcA 6 5c joe# D 8h g # B D PD ! 2 6 B 8 c 5jP &6 C c H P P0 D c 3 c0 D 3 Di 67i&6 $c1x c H c H g i 5 # 0i 63 5 9 D P 7i H W Q6 j2 oPjE i DP DP 3 jfc bb8 &Ai 6 g h jGPSe Cc b D8 3 c c c A bH @ h g GPS D DP h H #h6 H D 0 BcH i i c h D c c 6 P $t h 05tP tP 1ph Ct2 c e fc h H 8 $&&6 c P #cP Pc 6 0 i 0c Bc P # h B ! C%i # $h g h jfS$Q$h F 6 P Ct2 ph 3 GD 5c g6 g # Bc HPc H e cF 0 c c i P B c e WP h H # P Bc P gGfc bb8 &h 2(6 h tP h rh @ Efc B 8 5c g 6 3 c A B 3 jP 8h C5t8gc B 3 eiD Qc Ec H D8 3 B PP c c H ch P i gB ic 6 0 Cc Gfc bb8 &&6 c g i j$h 5c eD # 3 0 65i 1 t2 G P h H # h B c HP i c c # c P WP h H # B gGfc bb8 $h &6 c g i c F peh# h H oPS7Qc Eb D8 3 c B D e P i gBc H i B 6 TW tP i 6 jP oPjE 3 jfc bb8 $h i 6 g h jGPSe Cc b8 6 D DP DP h H # 6 H D 0 BcH 3 c t$6 b8 jD "i X # E ! R B TW g 6 5c Epp 5 i c B H # F 6 g@ 6 B DBh ! BD &H D WP #cP D # 8 HP 8 i 6P D D 0 DBc c H B 6 0c g$tQi ph$c j`P @ B 3 c t71@ oPD 3 C26 E8 jP Q{9 Ct2 P h H # B c g Gfc bb8 &h &6 C%i c H P Di 4ph sc B 5t5c jyQH &6 5c Ec F 0B F c HP6 8 @ DB h$E5tP tP H 3 A6 B Cyh 5 jB 6 c jP c ph 3 H 3 A6 B 8 8 h Pc 6 h 8 8 c HP H i h H eib 6 B Ai (6 B i d9 b D8 3 &) C%$ Di G5c "" 3 3 h EP D D 0 D Bc H 6 Bc g i F F P H # $ # $ WBc H c H 0 DB 8 sb D8 3 jP 6 %6 Ec $c H P &c D8 oP1 g 0 1(6 j B ph 8 6 # # h c # H D c 5jP c `e f 5c 3 ph ED 0 6 C2fU3 &6 c 3 % t c pj c jP c H i c P c i P @ c ic c gh H F Di Cc b D8 3 c c e rh j ph IF G@# 72 tQeiUhC$h 3 D 90 D 0 B c H i Bc P HP g B 6 8 P cP D # 8 # Pic 6 P 6 # cH `e $GPA 5c B jP c # # Se G tP Cc P g8 c B e P rh H P D i 6 jP D P c 0 hc 6 P D !28 C 68h H gQc g c H D8 3 c 3 D %6 Ec 8 `&6 26 E8 j&6 g c WPi B i 0 DB h 0 DBc c HP F D F 6 P c Bc Di G5c "F c 0 C"StP tP H D8 3 jP eiD 75c 3 % t"(6 C0 c 8 c H D ic c # g @ # ! jo1 d9 ph I2o(6 8 Ctrgc 8 c &5t2 ! 3 3 h Erh D 3 'D 8h 3 3 h EP D P# g g B F @# 0 c P h B c PP P # $ Kasiski Attack Example gator sgato rsgat orsga torsg ators gator sgato THEGA TORSA RETHE BESTT EAMIN THESE CGOGA TORSB 12 54 18 rsgat orsga torsg ators gator sgato rsgat orsga EATTH EDAWG SBEAT THEVO LSBEA TTHET IDEBE ATTHE 24 12 torsg ators gator sgato rsgat orsga tor CATSB EATTH ETIGE RSBEA TTHEW AREAG LES gat THE 12 2,3,4,6,12 54 2,3,6,9,12,18,27,54 atorsga BEATTHE 24 2,3,4,6,8,12,24 ato THE 18 2,3,6,9,18 12 2,3,4,6,12 Common Factors 2,3,6 ! 2 % 4& 1 & % # !H 6 H R c 3 Dc 8 H 3 gc Di i 6 joPjE h D DP 3 jfc bb8 &Ai 6 $gc B tP Uh AUtED H @ 3 % 0 CtP B 6 t W DP h H #h6 g 3h 6 g BF6P ic cB 0c c HPF i cP D 0 i Bc HP i P 6 jpc # trh 0 C1ph 3 jy6 ph @ B iB GPD P 8 @ B 3 c tP Cc 8de i 6 0 h Pc #h c i # P P DBc 6P D h B 6 fh H 8 $&Q6 [email protected] 6 rh H @ EA tc 3 c b8 H 3 gc Qu 5 jP U$' W cH c3h D c 3 c b8 tQ Di 5I6 F 9 5c 3 c b8 tQ Di 2$tP D 6P c D 6P P #c ! c H D8 3 c H P trh pY8 c "C jp2c # fU3 c P b0 D 1Uh 3 jP i 6 Cc 8h W B cP Bh HPF i @c h 0 i c H 0 H P F i C jp2c # fU3 treD 1Uh 3 fc F tP D 3 'D 8h t W @c cPh 0 i P 6 c ec f h iphbHjP c B 6 Gfc bb8 $&7c g i c P h egj05c tP 5 t W g D P h H #h 6 B DP 6 c i 6 jP oPjE 3 jfc bb8 &2G@# 8 B u py6 (6 26 H fc "$h c D DP DP h H #h 6 6 @F # 0 P g # Bc i H c c egEB dD D 6 1A26 g D 8 # 0 6 1A26 g # 0 P GoD Qu B6 0 c Ct2 @ h g i 6 jP 3 i @ ph eib c jP A Di 9ph ! " $h c c D B D # D Bc @i # B i D D "6 jh5 ! i 6 jPrh Py6 B"$ejrY8 $bQ D6 c Dg 0 jGA d9 V D # hD P h # h i i D P# g BcH b D8 3 UbEc gh iB i D6 P h c c & C%i g 6 1pd& c 6 B i F Bc g 0 i h V 3 i 6 [email protected] 6 Cc d9 c C 3 t [email protected] # 0 D B c # B D c ' 9 ' ) & # ! $ &$ # % &$ % 1 ! Ciphertext: ttrbetchoeeahxertsmexgshtisxaaetnex 2i 2i D6 oD $8 Uh $h c c P 6 i B # B i D6 oPD $8 Uh pbi C # 75 6 i B Bh g 6 ' ! C write in row-wise Plaintext: THEGATORSARETHEBESTTEAMINTHESEC Columnar Transposition T T R B E T C H O E E A H X E R T S M E X G S H T I S X A A E T N E X read out column-wise ) Transposition Plaintext: Key: (30421) Ciphertext: THEGA TORSA RETHE BESTT EAMIN THESE CGOGA TORSX HAGTE OASTR EEHRE ETTBE ANIEM HESTE GAGCO OXSTR # ! $ &$ # % 3 1 6 % $ # G H $ 4% # 0 # # ! ! ) $ ) $ combined & product cipher 2 cipher 1 L1 LCM(L1,L2) i 6 Dj2 C0 01ph i D6 2i 6 3 t8hgc B 3 eiD U5 D i c ih B 3 eiD U5 ih 0 D B c 8 c h 26 E$t8gc E ' "F ' ' # ' "F C $ ! ! L2 Product Ciphers - Periodicity ) 8 P# P D # ih H B B 6 c # H P#c B 2$c 9eipeh8 UbjP c F peh# i 0 1(6 j 2$tP c H D8 3 &6 D W c cP 8 P6 # H B 6B X trh F h 96 B 8 yi 0 1(6 j Q0EB 9W i 6 jrh Qc c 8 g c 8 egD W DP Pi g # D # g c H P [email protected] 8 h 1ph %fU3 2I6 F trh c c F tP # 0 i @ c 0 6 cP B i 6 @ 08hgcd! @ Pob$c 8 g 6 3 eiD g6 # 0 A(H g jGPEB QF$h 1ph 2fc W D# # e c #6 H D 6 # 0i @ P B c &6 CA c # c eiD g tfc 0 0 1 H Cc DB % 0B @ 3 c B 3 c W 6 #c BcP # 6 0 c R F ' D ! ! 6 8 B ) ' ! W 0Cc #(6 [email protected] c dGGPb h j$c &6 c g c H 7'D 9c uD g B 8 D BP # B i P W W D c F h "U# jP F i h c H &6 @ 3 ipbAi AC0B cjP 01U) D c rb"2p# j'&6 c P h B jP h0 0c H ih Fh Fih c HP cH i R h g Bc P c HjP % 'DS5c F jG5c StP fc # ! A $ Di pgc idc g %i j' # F i h g 6 B c H P W 2eiD # Dc 3 Pfc bb8 $h &6 j c Se F h H # c D BcH D 9 F bpeh# &6 c P h t2 (t hFi h B cP #6 D 'c ' 1 B ) & D 9 D D 9 9 D # D 9 9 P # c P D h# 8 # D 8 CG$tQi pc 'j6$6 $c H P Sg0 g6 B Ubi P i 0 A(H i e6 e Bh 6 #6 peh1 3 jP pY8 c g 6 D $tP b D8 3 jP rh H P i SgI3 o@# $g0 B # D Bh P#c Bc H c H P F D e6i #hc R Bc I A c i 'S! Qc g yh jQc c F j65c "$b D Pi 8 BPi h g #h # # $h g o# Eph joD ph c g 6 B @ DB BP B 6 D 9 9 D c C 3 t GCA jP 3 c D i 6 jP @ B 3 c i D B c @# c D c D 8 i W $tP b D8 3 B 2$tQeiUh8 c D G&&&6 fc c jP D 9 fc # P#c Bc H 6 P #cP D # # 6 8 P H c P ' ' ' ! ) B R R c SI7" 9 D Q6 jP @ B 3 0 6 EB t &6 @ GPD # D h 6 B " BcH eD i D 8 c D 8 D 9 c 3 ph 0'C0 @ GPD 3 D C 8h H c 020$tP @ B 3 bC2fU3 R joPD i P D i g P @ 6 8 h @c H W 6 T tP c $6 # 3 'D D # 9 H 3 D Se H B QF h 65c 05c # $h j jP &6 jp2c # jc 3 ph ED 0 @ oPD 3 Ci 6 c g P # g c H HPFi c HP D i P D D 4D # 9 9 D # 9 D # 9 P WBcH fc sb D8 3 h $gc b tP Cc Cc i 3 h B 6 0 0 c P#c Bc $tP H D8 3 &6 QC(6 ph c j7&6 c B 8gc g h D c 3 ph 0'C0 @ oPD 3 Ci P i g HP h i P D D ' C F ) B ...
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This note was uploaded on 01/17/2012 for the course CIS 6930 taught by Professor Staff during the Fall '08 term at University of Florida.

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