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Project: Crypto
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# Jordan Jones # SM473B # Professor Margulies # Homework: Introduction to Cipher # Shift Cipher S = ShiftCryptosystem(AlphabeticStrings()); S #get my text ready for enciphering by removing spaces/commas,etc. P = S.encoding("She was born just a generation past slavery; a time when there were no cars on the road or planes in the sky; when someone like her couldn't vote for two reasons – because she was a woman and because of the color of her skin.And tonight, I think about all that she's seen throughout her century in America – the heartache and the hope; the struggle and the progress; the times we were told that we can't, and the people who pressed on with that American creed: Yes we can.") P key = 7 # Hand encryption of the first three letters goes from SHE to TSH #actually encode the text C = S.enciphering(key, P); C PP = S.deciphering(key, C) PP # # # # Affine Cipher # Hand encryption of the first three letters goes from NEV to PET A = AffineCryptosystem(AlphabeticStrings()); A T = A.encoding("Never give in. Never give in. Never, never, never, never—in nothing, great or small, large or petty—never give in, except to convictions of honour and good sense. Never yield to force. Never yield to the apparently overwhelming might of the enemy") T # Encryption key a,b = (7,2) AC = A.enciphering(a, b, T); AC A.deciphering(a, b, AC) # # # Decoding the Shift encryption from Devin Nathan for x in range (0, 26): #S = ShiftCryptosystem(AlphabeticStrings()); S P = S.encoding("LZWAJKFGLLGESCWJWHDQLZWAJKFGLLGJWSKGFOZQLZWAJKTMLLGVGSFVVAW") key = x x D = S.deciphering(key, P) D # The decoded message is THEIRSNOTTOMAKEREPLYTHEIRSNOTTOREASONWHYTHEIRSBUTTODOANDDIE with the key = 18 # # # Decoding the affine encryption from Brittany Dowling for a in range (0, 26): if gcd(a,26) == 1: for b in range (0,26): a b T = A.encoding("ZWBMNBKANBLGWBGRONKBVGWZDOBGZROPZIIAZDNJUBOKIZMNRJGGWNGAJNLNBOZOTRQZGDHANNKPNWRIKGWNDNGAJGWDGRENDNIQNMZKNOGGWBGBIILNOBANHANBGNKNXJBI") DD = A.deciphering(a, b, T) DD # The decoded message is IHAVEADREAMTHATONEDAYTHISNATIONWILLRISEUPANDLIVEOUTTHETRUEMEANINGOFITSCREEDWEHOLDTHESETRUTHSTOBESELFEVIDENTTHATALLMENARECREATEDEQUAL with the key = (3,1)
Shift cryptosystem on Free alphabetic string monoid on A-Z SHEWASBORNJUSTAGENERATIONPASTSLAVERYATIMEWHENTHEREWERENOCARSONTHEROADORPLANESINTHESKYWHENSOMEONELIKEHERCOULDNTVOTEFORTWOREASONSBECAUSESHEWASAWOMANANDBECAUSEOFTHECOLOROFHERSKINANDTONIGHTITHINKABOUTALLTHATSHESSEENTHROUGHOUTHERCENTURYINAMERICATHEHEARTACHEANDTHEHOPETHESTRUGGLEANDTHEPROGRESSTHETIMESWEWERETOLDTHATWECANTANDTHEPEOPLEWHOPRESSEDONWITHTHATAMERICANCREEDYESWECAN ZOLDHZIVYUQBZAHNLULYHAPVUWHZAZSHCLYFHAPTLDOLUAOLYLDLYLUVJHYZVUAOLYVHKVYWSHULZPUAOLZRFDOLUZVTLVULSPRLOLYJVBSKUACVALMVYADVYLHZVUZILJHBZLZOLDHZHDVTHUHUKILJHBZLVMAOLJVSVYVMOLYZRPUHUKAVUPNOAPAOPURHIVBAHSSAOHAZOLZZLLUAOYVBNOVBAOLYJLUABYFPUHTLYPJHAOLOLHYAHJOLHUKAOLOVWLAOLZAYBNNSLHUKAOLWYVNYLZZAOLAPTLZDLDLYLAVSKAOHADLJHUAHUKAOLWLVWSLDOVWYLZZLKVUDPAOAOHAHTLYPJHUJYLLKFLZDLJHU SHEWASBORNJUSTAGENERATIONPASTSLAVERYATIMEWHENTHEREWERENOCARSONTHEROADORPLANESINTHESKYWHENSOMEONELIKEHERCOULDNTVOTEFORTWOREASONSBECAUSESHEWASAWOMANANDBECAUSEOFTHECOLOROFHERSKINANDTONIGHTITHINKABOUTALLTHATSHESSEENTHROUGHOUTHERCENTURYINAMERICATHEHEARTACHEANDTHEHOPETHESTRUGGLEANDTHEPROGRESSTHETIMESWEWERETOLDTHATWECANTANDTHEPEOPLEWHOPRESSEDONWITHTHATAMERICANCREEDYESWECAN Affine cryptosystem on Free alphabetic string monoid on A-Z NEVERGIVEINNEVERGIVEINNEVERNEVERNEVERNEVERINNOTHINGGREATORSMALLLARGEORPETTYNEVERGIVEINEXCEPTTOCONVICTIONSOFHONOURANDGOODSENSENEVERYIELDTOFORCENEVERYIELDTOTHEAPPARENTLYOVERWHELMINGMIGHTOFTHEENEMY PETERSGTEGPPETERSGTEGPPETERPETERPETERPETERGPPWFZGPSSRECFWRYICBBBCRSEWRDEFFOPETERSGTEGPEHQEDFFWQWPTGQFGWPYWLZWPWMRCPXSWWXYEPYEPETEROGEBXFWLWRQEPETEROGEBXFWFZECDDCREPFBOWTERAZEBIGPSIGSZFWLFZEEPEIO NEVERGIVEINNEVERGIVEINNEVERNEVERNEVERNEVERINNOTHINGGREATORSMALLLARGEORPETTYNEVERGIVEINEXCEPTTOCONVICTIONSOFHONOURANDGOODSENSENEVERYIELDTOFORCENEVERYIELDTOTHEAPPARENTLYOVERWHELMINGMIGHTOFTHEENEMY 0 LZWAJKFGLLGESCWJWHDQLZWAJKFGLLGJWSKGFOZQLZWAJKTMLLGVGSFVVAW 1 KYVZIJEFKKFDRBVIVGCPKYVZIJEFKKFIVRJFENYPKYVZIJSLKKFUFREUUZV 2 JXUYHIDEJJECQAUHUFBOJXUYHIDEJJEHUQIEDMXOJXUYHIRKJJETEQDTTYU 3 IWTXGHCDIIDBPZTGTEANIWTXGHCDIIDGTPHDCLWNIWTXGHQJIIDSDPCSSXT 4 HVSWFGBCHHCAOYSFSDZMHVSWFGBCHHCFSOGCBKVMHVSWFGPIHHCRCOBRRWS 5 GURVEFABGGBZNXRERCYLGURVEFABGGBERNFBAJULGURVEFOHGGBQBNAQQVR 6 FTQUDEZAFFAYMWQDQBXKFTQUDEZAFFADQMEAZITKFTQUDENGFFAPAMZPPUQ 7 ESPTCDYZEEZXLVPCPAWJESPTCDYZEEZCPLDZYHSJESPTCDMFEEZOZLYOOTP 8 DROSBCXYDDYWKUOBOZVIDROSBCXYDDYBOKCYXGRIDROSBCLEDDYNYKXNNSO 9 CQNRABWXCCXVJTNANYUHCQNRABWXCCXANJBXWFQHCQNRABKDCCXMXJWMMRN 10 BPMQZAVWBBWUISMZMXTGBPMQZAVWBBWZMIAWVEPGBPMQZAJCBBWLWIVLLQM 11 AOLPYZUVAAVTHRLYLWSFAOLPYZUVAAVYLHZVUDOFAOLPYZIBAAVKVHUKKPL 12 ZNKOXYTUZZUSGQKXKVREZNKOXYTUZZUXKGYUTCNEZNKOXYHAZZUJUGTJJOK 13 YMJNWXSTYYTRFPJWJUQDYMJNWXSTYYTWJFXTSBMDYMJNWXGZYYTITFSIINJ 14 XLIMVWRSXXSQEOIVITPCXLIMVWRSXXSVIEWSRALCXLIMVWFYXXSHSERHHMI 15 WKHLUVQRWWRPDNHUHSOBWKHLUVQRWWRUHDVRQZKBWKHLUVEXWWRGRDQGGLH 16 VJGKTUPQVVQOCMGTGRNAVJGKTUPQVVQTGCUQPYJAVJGKTUDWVVQFQCPFFKG 17 UIFJSTOPUUPNBLFSFQMZUIFJSTOPUUPSFBTPOXIZUIFJSTCVUUPEPBOEEJF 18 THEIRSNOTTOMAKEREPLYTHEIRSNOTTOREASONWHYTHEIRSBUTTODOANDDIE 19 SGDHQRMNSSNLZJDQDOKXSGDHQRMNSSNQDZRNMVGXSGDHQRATSSNCNZMCCHD 20 RFCGPQLMRRMKYICPCNJWRFCGPQLMRRMPCYQMLUFWRFCGPQZSRRMBMYLBBGC 21 QEBFOPKLQQLJXHBOBMIVQEBFOPKLQQLOBXPLKTEVQEBFOPYRQQLALXKAAFB 22 PDAENOJKPPKIWGANALHUPDAENOJKPPKNAWOKJSDUPDAENOXQPPKZKWJZZEA 23 OCZDMNIJOOJHVFZMZKGTOCZDMNIJOOJMZVNJIRCTOCZDMNWPOOJYJVIYYDZ 24 NBYCLMHINNIGUEYLYJFSNBYCLMHINNILYUMIHQBSNBYCLMVONNIXIUHXXCY 25 MAXBKLGHMMHFTDXKXIERMAXBKLGHMMHKXTLHGPARMAXBKLUNMMHWHTGWWBX 1 0 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EBGRSGPFSGQLBGLWTSPGALBEITGLEWTUENNFEISOZGTPNERSWOLLBSLFOSQSGTETYWVELIMFSSPUSBWNPLBSISLFOLBILWJSISNVSREPSTLLBGLGNNQSTGFSMFSGLSPSCOGN 1 22 DAFQRFOERFPKAFKVSROFZKADHSFKDVSTDMMEDHRNYFSOMDQRVNKKARKENRPRFSDSXVUDKHLERROTRAVMOKARHRKENKAHKVIRHRMURQDORSKKAFKFMMPRSFERLERFKRORBNFM 1 23 CZEPQENDQEOJZEJURQNEYJZCGREJCURSCLLDCGQMXERNLCPQUMJJZQJDMQOQERCRWUTCJGKDQQNSQZULNJZQGQJDMJZGJUHQGQLTQPCNQRJJZEJELLOQREDQKDQEJQNQAMEL 1 24 BYDOPDMCPDNIYDITQPMDXIYBFQDIBTQRBKKCBFPLWDQMKBOPTLIIYPICLPNPDQBQVTSBIFJCPPMRPYTKMIYPFPICLIYFITGPFPKSPOBMPQIIYDIDKKNPQDCPJCPDIPMPZLDK 1 25 AXCNOCLBOCMHXCHSPOLCWHXAEPCHASPQAJJBAEOKVCPLJANOSKHHXOHBKOMOCPAPUSRAHEIBOOLQOXSJLHXOEOHBKHXEHSFOEOJRONALOPHHXCHCJJMOPCBOIBOCHOLOYKCJ 3 0 RQJENJMANJVCQJCXWNMJHCQRBWJCRXWFRUUARBNDYJWMURENXDCCQNCADNVNJWRWPXORCBLANNMFNQXUMCQNBNCADCQBCXKNBNUONERMNWCCQJCJUUVNWJANLANJCNMNZDJU 3 1 IHAVEADREAMTHATONEDAYTHISNATIONWILLRISEUPANDLIVEOUTTHETRUEMEANINGOFITSCREEDWEHOLDTHESETRUTHSTOBESELFEVIDENTTHATALLMENARECREATEDEQUAL 3 2 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