Cryptography Algorithms and Encoding Techniques, Assignments of Algebra

An overview of various cryptography algorithms and encoding techniques used for secure data transmission. Topics include symmetric and asymmetric encryption, hashing, digital signatures, and error correction codes. Students can use this document as a reference for understanding the fundamental concepts of cryptography and its applications.

Typology: Assignments

Pre 2010

Uploaded on 03/11/2009

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๎˜€๎˜‚๎˜๎˜„๎˜ƒ๎˜†๎˜…๎˜ˆ๎˜‡๎˜‰๎˜๎˜‹๎˜Š๎˜๎˜Œ๎˜๎˜Ž๎˜‘๎˜๎˜๎˜๎˜๎˜’๎˜”๎˜“๎˜„๎˜•๎˜–๎˜ƒ๎˜—๎˜…๎˜˜๎˜•๎˜š๎˜™๎˜œ๎˜›๎˜ž๎˜ ๎˜Ÿ๎˜–!๎˜–๎˜…#"$๎˜Š๎˜๎˜’๎˜”๎˜Ÿ$%'&๎˜„(*)+%,&๎˜ž-๎˜„๎˜›.๎˜™0/$1
2 3 ๎˜…4๎˜™6587:9๎˜‹;=<>!๎˜–?@?A๎˜๎˜„๎˜B๎˜…C๎˜™0/$%.๎˜™=DE๎˜’๎˜”๎˜6%F๎˜B!๎˜–G@H$๎˜…4IJ๎˜ŸK๎˜๎˜‹L๎˜‰MN%๎˜‹๎˜•๎˜–๎˜Ÿ+๎˜™0/$%O๎˜™6%๎˜‹IJIP๎˜๎˜‹LQ๎˜™๎˜/๎˜–๎˜…CR๎˜˜๎˜๎˜‹๎˜ƒ๎˜†?๎˜–I๎˜”๎˜…๎˜ˆST๎˜ŠB๎˜>๎˜๎˜‹๎˜™๎˜๎˜๎˜œ๎˜๎˜‹LQ๎˜™๎˜/๎˜–๎˜…
?U๎˜๎˜„I๎˜”&V๎˜•๎˜–๎˜๎˜‹๎˜ƒ๎˜†๎˜’J%๎˜‹IUW$XZY[9#%๎˜‹๎˜ŠB๎˜…#%๎˜‹R4๎˜™๎˜!$%๎˜‹IJI\&๎˜๎˜’๎˜”๎˜•+D๎˜—;]<V!๎˜–?๎˜–?U๎˜๎˜„๎˜๎˜๎˜…=๎˜™0/๎˜–%O๎˜™_^a`KD๎˜†; 3๎˜…4๎˜™๎˜‚bc๎˜Ÿ๎˜–๎˜…4๎˜•๎˜–๎˜๎˜‹๎˜™๎˜๎˜…d๎˜๎˜„๎˜•@๎˜…#๎˜OLe๎˜™๎˜/๎˜–๎˜…d๎˜ŠB๎˜>๎˜O๎˜™0๎˜f๎˜๎˜‹L
๎˜™๎˜/๎˜–๎˜…Z?A๎˜๎˜„I\&V๎˜•๎˜–๎˜๎˜„๎˜ƒ๎˜—๎˜’g%๎˜‹Iihj๎˜kWA1mlnW$XZYo^p๎˜’J๎˜•pM๎˜†; 3๎˜…๎˜ˆ๎˜™๎˜‘qr๎˜Ÿ๎˜–๎˜…๎˜˜๎˜•@๎˜๎˜‹๎˜™0๎˜…Z๎˜™0/๎˜–๎˜…Z๎˜B?๎˜–IJ๎˜’\๎˜™๎˜๎˜™0๎˜’๎˜”๎˜•๎˜–๎˜“sH$๎˜…4IJ๎˜Ÿ๎˜žLk๎˜๎˜„๎˜Š๎˜‚hj๎˜tWA1f๎˜,u๎˜‹๎˜…๎˜˜๎˜Š๎˜‘D๎˜†;wvQ๎˜Š๎˜๎˜,u๎˜„๎˜…
๎˜™๎˜/$%O๎˜™xqylzDF๎˜ be1๎˜ˆ;{"$!๎˜–๎˜ŠB๎˜™๎˜/๎˜–๎˜…๎˜˜๎˜ŠB๎˜ƒ๎˜†๎˜๎˜„๎˜ŠB๎˜…๎˜‹(m?๎˜–๎˜ŠB๎˜|u๎˜‹๎˜…}๎˜™0/$%O๎˜™๎™ฟ~๎š€l๎š‚๎š๎˜œ๎šƒ$๎š„4๎˜๎š…q๎˜‚๎š†๎˜‹Ds1d๎˜’J๎˜x%pR๎˜ˆ&>R4IJ๎˜’๎˜”R๎˜๎˜“๎˜„๎˜Š๎˜๎˜๎˜‹!๎˜–?8%๎˜‹๎˜•๎˜–๎˜Ÿ๎š‡๎˜™0/$%.๎˜™p๎šˆ๎š‰~}๎šˆ
๎˜Ÿ๎˜–๎˜’\uV๎˜’J๎˜Ÿ๎˜–๎˜…4๎˜f5๎šŠ;
๎š‹๎˜๎šŒ ๎šf/๎˜–๎˜…x๎šŽQ๎˜’J๎˜๎˜๎˜…4๎˜•๎˜–๎˜B๎˜™๎˜๎˜…๎˜˜๎˜’๎˜”๎˜•aR๎˜˜๎˜Š๎˜๎˜’\๎˜™0๎˜…4๎˜Š๎˜๎˜’J๎˜๎˜‹๎˜•๎š๎˜’J๎˜ƒ๎˜—?๎˜–I๎˜”๎˜’J๎˜…๎˜˜๎˜_๎˜™0/๎˜–%O๎˜™๎˜œ๎˜™๎˜/๎˜–๎˜…C?U๎˜๎˜„I๎˜”&V๎˜•๎˜–๎˜๎˜„๎˜ƒ๎˜—๎˜’g%OI*๎š๎š‘๎˜kWA1_l๎š’W*๎š“]Y๎š”-F๎˜’J๎˜๎˜‘๎˜’J๎˜Š๎˜๎˜ŠB๎˜…๎˜˜๎˜Ÿ๎˜–!@R๎˜˜๎˜’JG@IJ๎˜…s๎˜,u๎˜‹๎˜…๎˜˜๎˜Š
๎š•;3๎˜…4๎˜™๎š—๎š–o๎˜Ÿ๎˜–๎˜…4๎˜•๎˜–๎˜๎˜‹๎˜™๎˜๎˜…๎˜‘๎˜™0/@๎˜…๎˜‘๎˜B?๎˜–IJ๎˜’\๎˜™๎˜๎˜™0๎˜’๎˜”๎˜•๎˜–๎˜“6H$๎˜…4IJ๎˜ŸxLk๎˜๎˜„๎˜Š๎š˜๎šP๎˜kWA1Q๎˜,u๎˜„๎˜…๎˜˜๎˜Š ๎š•;3๎˜…4๎˜™๎š—q๎š™๎˜Ÿ๎˜–๎˜…๎˜˜๎˜•๎˜–๎˜O๎˜™0๎˜…_๎˜™0/๎˜–๎˜…๎˜‚๎˜๎˜?๎˜–I๎˜”๎˜’๎˜”๎˜™B๎˜™0๎˜’J๎˜•@๎˜“6H$๎˜…๎˜˜I๎˜”๎˜Ÿ๎˜†Lk๎˜๎˜„๎˜ŠQW
๎š“
YK9
๎˜,u๎˜„๎˜…4๎˜Š ๎š•;
๎˜ %๎˜š1 vQ๎˜Š๎˜๎˜,u๎˜„๎˜…Z๎˜™0/$%.๎˜™๎˜‚q๎š›๎šš๎šœ๎š–_;
๎˜kG*1 vQ๎˜Š๎˜๎˜,u๎˜„๎˜…Z๎˜™0/$%.๎˜™C๎š๎šž๎š–๎š”๎šŸ ๎š•๎™ฟ๎š  lยก-๎˜‹ยข@;
๎˜kR,1 3๎˜…4๎˜™C~ยฃlE๎š๎˜œ๎šƒ$๎š„4๎˜ ๎š–๎š—๎š† ๎š•1๎˜ˆ;๎˜ยค{๎˜…๎˜†๎˜Œยฅ๎˜•๎˜–๎˜,๎˜‡:๎˜™๎˜/$%O๎˜™T๎šˆ๎š‰~}๎šˆAlz๎šยฆ๎š–๎š›๎šŸ ๎š•๎™ฟ๎š  ;}vQ๎˜Š๎˜๎˜,u๎˜‹๎˜…F๎˜™0/$%.๎˜™s~ยงR4๎˜๎˜„๎˜•๎˜š๎˜™ยจ%๎˜‹๎˜’๎˜”๎˜•๎˜–๎˜s%T๎˜•๎˜–๎˜๎˜„๎˜ŠB๎˜ƒF%๎˜‹I
๎˜B!๎˜–G๎˜–๎˜“๎˜„๎˜ŠB๎˜๎˜„!๎˜–?aยฉยช๎˜OLQ๎˜๎˜„๎˜Š๎˜๎˜Ÿ@๎˜…๎˜˜๎˜Š=๎˜›๎˜†%๎˜‹๎˜•๎˜–๎˜Ÿ๎š๎˜™๎˜/$%O๎˜™๎˜œ~s๎š†๎˜˜ยฉยซ๎˜’J๎˜๎˜‘%FR4&VR4IJ๎˜’JRd๎˜“๎˜„๎˜Š๎˜๎˜๎˜‹!๎˜–?๎š๎˜๎˜‹Lm๎˜๎˜‹๎˜Š๎˜๎˜Ÿ๎˜–๎˜…4๎˜Š๎˜œยฌ๎˜–;๎˜‘"$!๎˜–๎˜ŠB๎˜™๎˜/๎˜–๎˜…๎˜˜๎˜ŠB๎˜ƒ๎˜†๎˜๎˜„๎˜ŠB๎˜…๎˜‹(U๎˜๎˜/๎˜–๎˜,๎˜‡๎šญ๎˜™0/๎˜–%O๎˜™
~r๎˜’๎˜”๎˜_%๎˜—๎˜•@๎˜๎˜„๎˜•$%๎˜‹GU๎˜…๎˜˜I๎˜”๎˜’g%๎˜‹๎˜•}๎˜“๎˜„๎˜ŠB๎˜๎˜„!๎˜–?ยฎ;
M๎˜†๎šŒ vm๎˜ŠB๎˜,u๎˜„๎˜…s๎˜™๎˜/$%O๎˜™_๎˜™0/๎˜–๎˜…4๎˜Š๎˜๎˜…d๎˜…๎˜ˆS>๎˜’J๎˜ยฏ๎˜™๎˜‘Lk๎˜๎˜„!@๎˜Š๎˜‘R4๎˜๎˜„๎˜ƒ๎˜†?@IJ๎˜…๎˜ˆS}๎˜•V!@๎˜ƒCGA๎˜…4๎˜Š๎˜๎˜๎˜‘biยฐยฒยฑ0b$ยณ'ยฑ0b$ยด,ยฑ๎˜b๎˜–ยต6๎˜0%.๎˜™0๎˜’J๎˜ยฏLt&V๎˜’J๎˜•๎˜–๎˜“x๎˜™0/๎˜–๎˜…ZLk๎˜๎˜„I๎˜”IJ๎˜,๎˜‡_๎˜’J๎˜•๎˜–๎˜“CLk๎˜๎˜‹!๎˜–๎˜Š
๎˜…4ยถV!๎˜–%O๎˜™0๎˜’๎˜”๎˜๎˜„๎˜•๎˜–๎˜๎˜˜๎šŸ
biยฐ๎š˜ยท8b$ยณeยท8b$ยด๎šŠยท8b๎˜–ยตยกl 9๎˜„ยฑ biยฐยธb$ยณยจb$ยด๎šŠยท8biยฐยนb$ยณยจb๎˜–ยตjยทยบbiยฐยฏb$ยด0b๎˜–ยตjยท8b$ยณ0b$ยดยจb๎˜–ยตยกl 9
biยฐยธb$ยณjยทยบbiยฐยฏb$ยดeยท8biยฐยฏb๎˜–ยต๎šŠยท8b$ยณยจb$ยดeยท8b$ยณยจb๎˜–ยตjยท8b$ยด๎˜b๎˜–ยตยกl 9๎˜‹ยฑ biยฐยธb$ยณยจb$ยด0b๎˜–ยต]lยป9Nยผ
<>/@๎˜|๎˜‡๎š™๎˜™๎˜/$%O๎˜™๎˜œbiยฐยฒยฑ0b$ยณ,ยฑ0b$ยด'ยฑ๎˜b๎˜–ยตZ%๎˜‹๎˜Š๎˜๎˜…d%๎˜‹I๎˜”๎˜“๎˜„๎˜…๎˜˜G๎˜–๎˜Š๎˜%๎˜‹๎˜’JRZ๎˜,u๎˜„๎˜…4๎˜Š ๎š•;3๎˜…4๎˜™=qrl ๎š•๎˜ biยฐ๎˜ˆยฑ0b$ยณ'ยฑ๎˜b$ยด'ยฑ0b๎˜–ยต๎˜ˆ1ยฒ;๎˜œยฝ6๎˜…๎˜ˆ๎˜™0๎˜…๎˜˜๎˜ŠB๎˜ƒ๎˜†๎˜’๎˜”๎˜•๎˜–๎˜…F๎šยฆqยพ๎šŸ ๎š•๎™ฟ๎š  ;
<>/@๎˜|๎˜‡ยก๎˜™0/$%.๎˜™๎˜œqยฟl ๎š•๎˜kbiยฐ๎˜1๎˜ˆ;
ร€a๎šŒ <>!๎˜–?@?A๎˜๎˜„๎˜B๎˜…๎˜†๎˜™๎˜/$%O๎˜™#5[7ยง9๎˜„; 3๎˜…๎˜ˆ๎˜™dqN๎˜Ÿ๎˜–๎˜…๎˜˜๎˜•๎˜–๎˜O๎˜™0๎˜…x๎˜™0/๎˜–๎˜…๎˜—๎˜๎˜?๎˜–I๎˜”๎˜’๎˜”๎˜™B๎˜™0๎˜’J๎˜•@๎˜“๎˜H$๎˜…๎˜˜I๎˜”๎˜ŸรLk๎˜๎˜„๎˜Šdhj๎˜tWA1=lร‚W$XsYยฟ9๎˜†๎˜,u๎˜‹๎˜…๎˜˜๎˜Š ๎š•;3๎˜…๎˜ˆ๎˜™
bplร„รƒ4ร…Oร†ยฅ๎˜
ยณรˆร‡
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1๎š‘ยท๎š”ร†'ร‰รŠ5j๎˜
ยณรˆร‡
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1ยธร‰๎˜(๎˜–๎˜‡_/๎˜–๎˜’๎˜”Rยจ/+๎˜’๎˜”๎˜f๎˜๎˜„๎˜•๎˜–๎˜…Z๎˜๎˜‹LP๎˜™0/๎˜–๎˜…Z๎˜ŠB๎˜>๎˜๎˜‹๎˜™๎˜๎˜f๎˜๎˜‹Ljhj๎˜kWA1]๎˜’J๎˜•pM๎˜†;
๎˜ %๎˜š1 <>!๎˜–?@?A๎˜๎˜„๎˜B๎˜…#๎˜™๎˜/$%O๎˜™๎˜‘ร‹๎š`p๎š๎˜‘๎šƒ$๎š„4๎˜๎š…q๎˜‚๎š† ๎š•1ยฒ;w<>/๎˜–๎˜,๎˜‡ยฟ๎˜™0/๎˜–%O๎˜™f๎˜™0/๎˜–๎˜…4๎˜Š๎˜๎˜…Z๎˜…๎˜ˆS>๎˜’๎˜”๎˜B๎˜™0๎˜๎˜‚%๎™ฟ!๎˜–๎˜•๎˜–๎˜’๎˜”ยถยฅ!๎˜–๎˜…๎˜˜I\&๎˜๎˜Ÿ๎˜–๎˜…๎˜ˆ๎˜™0๎˜…๎˜˜๎˜ŠB๎˜ƒ๎˜†๎˜’๎˜”๎˜•๎˜–๎˜…๎˜˜๎˜Ÿ๎˜ž๎˜’๎˜”๎˜•ยฅ๎˜™๎˜๎˜…๎˜˜๎˜“๎˜„๎˜…4๎˜Š_รŒ๎˜šร
๎˜‡_๎˜’\๎˜™0/}๎˜™0/๎˜–๎˜…=Lk๎˜๎˜„I๎˜”IJ๎˜,๎˜‡_๎˜’J๎˜•@๎˜“C?๎˜–๎˜Š๎˜๎˜๎˜‹?A๎˜…4๎˜ŠB๎˜™0๎˜’๎˜”๎˜…๎˜˜๎˜4๎šŸ
ร‹๎šŠ๎˜kb๎šŠ1รŽl bPรยฏร๎˜šยฑ ยข๎˜—ร‘๎šœรŒ๎˜šรCร’๎š”5๎šŠยฑ ร“>รƒ4ร”U๎˜๎š…รŒ๎˜šร๎˜šยฑ05ยฎ1ml๎š’9Nยผ
๎˜kG*1 ยฝ6๎˜…4H$๎˜•@๎˜…s%๎™ฟ๎˜ƒ๎˜†%๎˜‹?๎˜žร•F๎šŸ๎˜—๎š๎˜œ๎šƒ$๎š„4๎˜๎š…q๎˜‚๎š† ๎š•1]YUร– ร—ยฏร˜w๎š†O5๎š‘ร˜mร™>รšT%๎˜‹๎˜]Lk๎˜๎˜‹IJIJ๎˜,๎˜‡_๎˜4๎šŸ
ร•U๎˜๎š…ร‹i1๎š”l รŒ๎˜šรยกยท 5Pร˜
Lk๎˜๎˜„๎˜Š_%OIJI๎š˜ร‹p`p๎š๎˜‘๎šƒ$๎š„4๎˜๎š…q๎˜‚๎š† ๎š•1ยฒ;mvm๎˜ŠB๎˜,u๎˜„๎˜…Z๎˜™0/$%O๎˜™๎˜‚ร•๎˜—๎˜’J๎˜๎˜‚%๎˜‹๎˜•๎˜ž๎˜’J๎˜•|ร›B๎˜…๎˜˜R4๎˜™๎˜๎˜’๎˜”u๎˜‹๎˜…#๎˜“๎˜‹๎˜Š๎˜๎˜๎˜„!๎˜–?๎˜ž/๎˜–๎˜๎˜‹๎˜ƒ๎˜†๎˜๎˜„๎˜ƒ๎˜—๎˜๎˜„๎˜ŠB?๎˜–/๎˜–๎˜’J๎˜B๎˜ƒ+;

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