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asniffle

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stylograph

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Caesar cipher

Caesar cipher, is one of the simplest and most widely known encryption techniques. The transformation can be represented by aligning two alphabets, the cipher alphabet is the plain alphabet rotated left or right by some number of positions.

When encrypting, a person looks up each letter of the message in the 'plain' line and writes down the corresponding letter in the 'cipher' line. Deciphering is done in reverse.
The encryption can also be represented using modular arithmetic by first transforming the letters into numbers, according to the scheme, A = 0, B = 1,..., Z = 25. Encryption of a letter x by a shift n can be described mathematically as

Plaintext: upcrop
cipher variations:
vqdspq wretqr xsfurs ytgvst zuhwtu
avixuv bwjyvw cxkzwx dylaxy ezmbyz
fancza gbodab hcpebc idqfcd jergde
kfshef lgtifg mhujgh nivkhi ojwlij
pkxmjk qlynkl rmzolm snapmn tobqno

Decryption is performed similarly,

(There are different definitions for the modulo operation. In the above, the result is in the range 0...25. I.e., if x+n or x-n are not in the range 0...25, we have to subtract or add 26.)
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Atbash Cipher

Atbash is an ancient encryption system created in the Middle East. It was originally used in the Hebrew language.
The Atbash cipher is a simple substitution cipher that relies on transposing all the letters in the alphabet such that the resulting alphabet is backwards.
The first letter is replaced with the last letter, the second with the second-last, and so on.
An example plaintext to ciphertext using Atbash:
Plain: upcrop
Cipher: fkxilk

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Baconian Cipher

To encode a message, each letter of the plaintext is replaced by a group of five of the letters 'A' or 'B'. This replacement is done according to the alphabet of the Baconian cipher, shown below.
a   AAAAA   g    AABBA     m    ABABB   s    BAAAB     y    BABBA
b   AAAAB   h    AABBB     n    ABBAA   t    BAABA     z    BABBB
c   AAABA   i    ABAAA     o    ABBAB   u    BAABB 
d   AAABB   j    BBBAA     p    ABBBA   v    BBBAB
e   AABAA   k    ABAAB     q    ABBBB   w    BABAA
f   AABAB   l    ABABA     r    BAAAA   x    BABAB

Plain: upcrop
Cipher: BAABB ABBBA AAABA BAAAA ABBAB ABBBA

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Affine Cipher
In the affine cipher the letters of an alphabet of size m are first mapped to the integers in the range 0..m - 1. It then uses modular arithmetic to transform the integer that each plaintext letter corresponds to into another integer that correspond to a ciphertext letter. The encryption function for a single letter is

where modulus m is the size of the alphabet and a and b are the key of the cipher. The value a must be chosen such that a and m are coprime.
Considering the specific case of encrypting messages in English (i.e. m = 26), there are a total of 286 non-trivial affine ciphers, not counting the 26 trivial Caesar ciphers. This number comes from the fact there are 12 numbers that are coprime with 26 that are less than 26 (these are the possible values of a). Each value of a can have 26 different addition shifts (the b value) ; therefore, there are 12*26 or 312 possible keys.
Plaintext: upcrop
cipher variations:
vqdspqjuharuxylitylcpqvczgtyxgnkxgzkpsfwdsdwjefw
ranmhaferujetivclihmzknmwretqrkvibsvyzmjuzmdqrwd
ahuzyholyhalqtgxetexkfgxsbonibgfsvkfujwdmjinalon
xsfurslwjctwzankvanersxebivazipmzibmruhyfufylghy
tcpojchgtwlgvkxenkjobmpoytgvstmxkduxabolwbofstyf
cjwbajqnajcnsvizgvgzmhizudqpkdihuxmhwlyfolkpcnqp
zuhwtunylevybcpmxcpgtuzgdkxcbkrobkdotwjahwhanija
verqlejivynixmzgpmlqdorqavixuvozmfwzcdqnydqhuvah
elydclspclepuxkbixibojkbwfsrmfkjwzojynahqnmrepsr
bwjyvwpangxaderozerivwbifmzedmtqdmfqvylcjyjcpklc
xgtsnglkxapkzobironsfqtscxkzwxqbohybefspafsjwxcj
gnafenurengrwzmdkzkdqlmdyhutohmlybqlapcjspotgrut
dylaxyrcpizcfgtqbgtkxydkhobgfovsfohsxanelalermne
zivupinmzcrmbqdktqpuhsvuezmbyzsdqjadghurchulyzel
ipchgpwtgpitybofmbmfsnofajwvqjonadsncrelurqvitwv
fanczaterkbehivsdivmzafmjqdihqxuhqjuzcpgncngtopg
bkxwrkpobetodsfmvsrwjuxwgbodabufslcfijwtejwnabgn
krejiryvirkvadqhodohupqhclyxslqpcfupetgnwtsxkvyx
hcpebcvgtmdgjkxufkxobcholsfkjszwjslwberipepivqri
dmzytmrqdgvqfuhoxutylwzyidqfcdwhunehklyvglypcdip
mtglktaxktmxcfsjqfqjwrsjenazunsrehwrgvipyvuzmxaz
jergdexivofilmzwhmzqdejqnuhmlubylunydgtkrgrkxstk
fobavotsfixshwjqzwvanybakfshefyjwpgjmnaxinarefkr
ovinmvczmvozehulshslytulgpcbwputgjytixkraxwbozcb
lgtifgzkxqhknobyjobsfglspwjonwdanwpafivmtitmzuvm
hqdcxqvuhkzujylsbyxcpadcmhujghalyrilopczkpctghmt
qxkpoxeboxqbgjwnujunavwniredyrwvilavkzmtczydqbed
nivkhibmzsjmpqdalqduhinurylqpyfcpyrchkxovkvobwxo
jsfezsxwjmbwlanudazercfeojwlijcnatknqrebmrevijov
szmrqzgdqzsdilypwlwpcxypktgfatyxkncxmbovebafsdgf
pkxmjkdobulorsfcnsfwjkpwtansraheratejmzqxmxqdyzq
luhgbuzylodyncpwfcbgtehgqlynklepcvmpstgdotgxklqx
ubotsbifsbufknarynyrezarmvihcvazmpezodqxgdchufih
rmzolmfqdwnqtuhepuhylmryvcputcjgtcvglobszozsfabs
nwjidwbanqfaperyhedivgjisnapmngrexoruvifqvizmnsz
wdqvudkhudwhmpctapatgbctoxkjexcborgbqfszifejwhkj
tobqnohsfypsvwjgrwjanotaxerwvelivexinqdubqbuhcdu
pylkfydcpshcrgtajgfkxilkupcropitgzqtwxkhsxkbopub
yfsxwfmjwfyjorevcrcvidevqzmlgzedqtidshubkhglyjml

The decryption function is

where a - 1 is the modular multiplicative inverse of a modulo m. I.e., it satisfies the equation

The multiplicative inverse of a only exists if a and m are coprime. Hence without the restriction on a decryption might not be possible. It can be shown as follows that decryption function is the inverse of the encryption function,

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ROT13 Cipher
Applying ROT13 to a piece of text merely requires examining its alphabetic characters and replacing each one by the letter 13 places further along in the alphabet, wrapping back to the beginning if necessary. A becomes N, B becomes O, and so on up to M, which becomes Z, then the sequence continues at the beginning of the alphabet: N becomes A, O becomes B, and so on to Z, which becomes M. Only those letters which occur in the English alphabet are affected; numbers, symbols, whitespace, and all other characters are left unchanged. Because there are 26 letters in the English alphabet and 26 = 2 * 13, the ROT13 function is its own inverse:

ROT13(ROT13(x)) = x for any basic Latin-alphabet text x


An example plaintext to ciphertext using ROT13:

Plain: upcrop
Cipher: hcpebc

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Polybius Square

A Polybius Square is a table that allows someone to translate letters into numbers. To give a small level of encryption, this table can be randomized and shared with the recipient. In order to fit the 26 letters of the alphabet into the 25 spots created by the table, the letters i and j are usually combined.
1 2 3 4 5
1 A B C D E
2 F G H I/J K
3 L M N O P
4 Q R S T U
5 V W X Y Z

Basic Form:
Plain: upcrop
Cipher: 545331244353

Extended Methods:
Method #1

Plaintext: upcrop
method variations:
zuhwtueznbyzkesgdepkxmik

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
u p c r o p 
5 5 3 2 4 5 
4 3 1 4 3 3 
They are then read out in rows:
553245431433
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: upcrop
Cipher: zhyoqn

Read more ...
Method #3

Plaintext: upcrop
method variations:
ynftxx nftxxy ftxxyn
txxynf xxynft xynftx

Read more ...[RUS] , [EN]

 

Permutation Cipher
In classical cryptography, a permutation cipher is a transposition cipher in which the key is a permutation. To apply a cipher, a random permutation of size E is generated (the larger the value of E the more secure the cipher). The plaintext is then broken into segments of size E and the letters within that segment are permuted according to this key.
In theory, any transposition cipher can be viewed as a permutation cipher where E is equal to the length of the plaintext; this is too cumbersome a generalisation to use in actual practice, however.
The idea behind a permutation cipher is to keep the plaintext characters unchanged, butalter their positions by rearrangement using a permutation
This cipher is defined as:
Let m be a positive integer, and K consist of all permutations of {1,...,m}
For a key (permutation) , define:
The encryption function
The decryption function
A small example, assuming m = 6, and the key is the permutation :

The first row is the value of i, and the second row is the corresponding value of (i)
The inverse permutation, is constructed by interchanging the two rows, andrearranging the columns so that the first row is in increasing order, Therefore, is:

Total variation formula:

e = 2,718281828 , n - plaintext length

Plaintext: upcrop

all 720 cipher variations:
upcrop upcrpo upcorp upcopr upcpor upcpro uprcop uprcpo uprocp upropc uprpoc
uprpco uporcp uporpc upocrp upocpr upopcr upoprc upproc upprco upporc uppocr
uppcor uppcro ucprop ucprpo ucporp ucpopr ucppor ucppro ucrpop ucrppo ucropp
ucropp ucrpop ucrppo ucorpp ucorpp ucoprp ucoppr ucoppr ucoprp ucprop ucprpo
ucporp ucpopr ucppor ucppro urcpop urcppo urcopp urcopp urcpop urcppo urpcop
urpcpo urpocp urpopc urppoc urppco uropcp uroppc urocpp urocpp uropcp uroppc
urppoc urppco urpopc urpocp urpcop urpcpo uocrpp uocrpp uocprp uocppr uocppr
uocprp uorcpp uorcpp uorpcp uorppc uorppc uorpcp uoprcp uoprpc uopcrp uopcpr
uoppcr uopprc uoprpc uoprcp uopprc uoppcr uopcpr uopcrp upcrop upcrpo upcorp
upcopr upcpor upcpro uprcop uprcpo uprocp upropc uprpoc uprpco uporcp uporpc
upocrp upocpr upopcr upoprc upproc upprco upporc uppocr uppcor uppcro pucrop
pucrpo pucorp pucopr pucpor pucpro purcop purcpo purocp puropc purpoc purpco
puorcp puorpc puocrp puocpr puopcr puoprc puproc puprco puporc pupocr pupcor
pupcro pcurop pcurpo pcuorp pcuopr pcupor pcupro pcruop pcrupo pcroup pcropu
pcrpou pcrpuo pcorup pcorpu pcourp pcoupr pcopur pcopru pcprou pcpruo pcporu
pcpour pcpuor pcpuro prcuop prcupo prcoup prcopu prcpou prcpuo prucop prucpo
pruocp pruopc prupoc prupco proucp proupc procup procpu propcu propuc prpuoc
prpuco prpouc prpocu prpcou prpcuo pocrup pocrpu pocurp pocupr pocpur pocpru
porcup porcpu porucp porupc porpuc porpcu pourcp pourpc poucrp poucpr poupcr
pouprc popruc poprcu popurc popucr popcur popcru ppcrou ppcruo ppcoru ppcour
ppcuor ppcuro pprcou pprcuo pprocu pprouc ppruoc ppruco pporcu pporuc ppocru
ppocur ppoucr ppourc ppuroc ppurco ppuorc ppuocr ppucor ppucro cpurop cpurpo
cpuorp cpuopr cpupor cpupro cpruop cprupo cproup cpropu cprpou cprpuo cporup
cporpu cpourp cpoupr cpopur cpopru cpprou cppruo cpporu cppour cppuor cppuro
cuprop cuprpo cuporp cupopr cuppor cuppro curpop curppo curopp curopp curpop
curppo cuorpp cuorpp cuoprp cuoppr cuoppr cuoprp cuprop cuprpo cuporp cupopr
cuppor cuppro crupop cruppo cruopp cruopp crupop cruppo crpuop crpupo crpoup
crpopu crppou crppuo cropup croppu croupp croupp cropup croppu crppou crppuo
crpopu crpoup crpuop crpupo courpp courpp couprp couppr couppr couprp corupp
corupp corpup corppu corppu corpup coprup coprpu copurp copupr coppur coppru
coprpu coprup coppru coppur copupr copurp cpurop cpurpo cpuorp cpuopr cpupor
cpupro cpruop cprupo cproup cpropu cprpou cprpuo cporup cporpu cpourp cpoupr
cpopur cpopru cpprou cppruo cpporu cppour cppuor cppuro rpcuop rpcupo rpcoup
rpcopu rpcpou rpcpuo rpucop rpucpo rpuocp rpuopc rpupoc rpupco rpoucp rpoupc
rpocup rpocpu rpopcu rpopuc rppuoc rppuco rppouc rppocu rppcou rppcuo rcpuop
rcpupo rcpoup rcpopu rcppou rcppuo rcupop rcuppo rcuopp rcuopp rcupop rcuppo
rcoupp rcoupp rcopup rcoppu rcoppu rcopup rcpuop rcpupo rcpoup rcpopu rcppou
rcppuo rucpop rucppo rucopp rucopp rucpop rucppo rupcop rupcpo rupocp rupopc
ruppoc ruppco ruopcp ruoppc ruocpp ruocpp ruopcp ruoppc ruppoc ruppco rupopc
rupocp rupcop rupcpo rocupp rocupp rocpup rocppu rocppu rocpup roucpp roucpp
roupcp rouppc rouppc roupcp ropucp ropupc ropcup ropcpu roppcu roppuc ropupc
ropucp roppuc roppcu ropcpu ropcup rpcuop rpcupo rpcoup rpcopu rpcpou rpcpuo
rpucop rpucpo rpuocp rpuopc rpupoc rpupco rpoucp rpoupc rpocup rpocpu rpopcu
rpopuc rppuoc rppuco rppouc rppocu rppcou rppcuo opcrup opcrpu opcurp opcupr
opcpur opcpru oprcup oprcpu oprucp oprupc oprpuc oprpcu opurcp opurpc opucrp
opucpr opupcr opuprc oppruc opprcu oppurc oppucr oppcur oppcru ocprup ocprpu
ocpurp ocpupr ocppur ocppru ocrpup ocrppu ocrupp ocrupp ocrpup ocrppu ocurpp
ocurpp ocuprp ocuppr ocuppr ocuprp ocprup ocprpu ocpurp ocpupr ocppur ocppru
orcpup orcppu orcupp orcupp orcpup orcppu orpcup orpcpu orpucp orpupc orppuc
orppcu orupcp oruppc orucpp orucpp orupcp oruppc orppuc orppcu orpupc orpucp
orpcup orpcpu oucrpp oucrpp oucprp oucppr oucppr oucprp ourcpp ourcpp ourpcp
ourppc ourppc ourpcp ouprcp ouprpc oupcrp oupcpr ouppcr oupprc ouprpc ouprcp
oupprc ouppcr oupcpr oupcrp opcrup opcrpu opcurp opcupr opcpur opcpru oprcup
oprcpu oprucp oprupc oprpuc oprpcu opurcp opurpc opucrp opucpr opupcr opuprc
oppruc opprcu oppurc oppucr oppcur oppcru ppcrou ppcruo ppcoru ppcour ppcuor
ppcuro pprcou pprcuo pprocu pprouc ppruoc ppruco pporcu pporuc ppocru ppocur
ppoucr ppourc ppuroc ppurco ppuorc ppuocr ppucor ppucro pcprou pcpruo pcporu
pcpour pcpuor pcpuro pcrpou pcrpuo pcropu pcroup pcruop pcrupo pcorpu pcorup
pcopru pcopur pcoupr pcourp pcurop pcurpo pcuorp pcuopr pcupor pcupro prcpou
prcpuo prcopu prcoup prcuop prcupo prpcou prpcuo prpocu prpouc prpuoc prpuco
propcu propuc procpu procup proucp proupc prupoc prupco pruopc pruocp prucop
prucpo pocrpu pocrup pocpru pocpur pocupr pocurp porcpu porcup porpcu porpuc
porupc porucp poprcu popruc popcru popcur popucr popurc pourpc pourcp pouprc
poupcr poucpr poucrp pucrop pucrpo pucorp pucopr pucpor pucpro purcop purcpo
purocp puropc purpoc purpco puorcp puorpc puocrp puocpr puopcr puoprc puproc
puprco puporc pupocr pupcor pupcro

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