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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: moujik
cipher variations:
npvkjl oqwlkm prxmln qsynmo rtzonp
suapoq tvbqpr uwcrqs vxdsrt wyetsu
xzfutv yagvuw zbhwvx acixwy bdjyxz
cekzya dflazb egmbac fhncbd giodce
hjpedf ikqfeg jlrgfh kmshgi lntihj

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: moujik
Cipher: nlfqrp

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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: moujik

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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: moujik
cipher variations:

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: moujik
Cipher: zbhwvx

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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: moujik
Cipher: 234354424252

Extended Methods:
Method #1

Plaintext: moujik
method variations:

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m o u j i k 
2 4 5 4 4 5 
3 3 4 2 2 2 
They are then read out in rows:
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: moujik
Cipher: ruynig

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Method #3

Plaintext: moujik
method variations:
sxtrwg xtrwgs trwgsx
rwgsxt wgsxtr gsxtrw

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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: moujik

all 720 cipher variations:
moujik moujki mouijk mouikj moukij moukji mojuik mojuki mojiuk mojiku mojkiu
mojkui moijuk moijku moiujk moiukj moikuj moikju mokjiu mokjui mokiju mokiuj
mokuij mokuji muojik muojki muoijk muoikj muokij muokji mujoik mujoki mujiok
mujiko mujkio mujkoi muijok muijko muiojk muiokj muikoj muikjo mukjio mukjoi
mukijo mukioj mukoij mukoji mjuoik mjuoki mjuiok mjuiko mjukio mjukoi mjouik
mjouki mjoiuk mjoiku mjokiu mjokui mjiouk mjioku mjiuok mjiuko mjikuo mjikou
mjkoiu mjkoui mjkiou mjkiuo mjkuio mjkuoi miujok miujko miuojk miuokj miukoj
miukjo mijuok mijuko mijouk mijoku mijkou mijkuo miojuk miojku mioujk mioukj
miokuj miokju mikjou mikjuo mikoju mikouj mikuoj mikujo mkujio mkujoi mkuijo
mkuioj mkuoij mkuoji mkjuio mkjuoi mkjiuo mkjiou mkjoiu mkjoui mkijuo mkijou
mkiujo mkiuoj mkiouj mkioju mkojiu mkojui mkoiju mkoiuj mkouij mkouji omujik
omujki omuijk omuikj omukij omukji omjuik omjuki omjiuk omjiku omjkiu omjkui
omijuk omijku omiujk omiukj omikuj omikju omkjiu omkjui omkiju omkiuj omkuij
omkuji oumjik oumjki oumijk oumikj oumkij oumkji oujmik oujmki oujimk oujikm
oujkim oujkmi ouijmk ouijkm ouimjk ouimkj ouikmj ouikjm oukjim oukjmi oukijm
oukimj oukmij oukmji ojumik ojumki ojuimk ojuikm ojukim ojukmi ojmuik ojmuki
ojmiuk ojmiku ojmkiu ojmkui ojimuk ojimku ojiumk ojiukm ojikum ojikmu ojkmiu
ojkmui ojkimu ojkium ojkuim ojkumi oiujmk oiujkm oiumjk oiumkj oiukmj oiukjm
oijumk oijukm oijmuk oijmku oijkmu oijkum oimjuk oimjku oimujk oimukj oimkuj
oimkju oikjmu oikjum oikmju oikmuj oikumj oikujm okujim okujmi okuijm okuimj
okumij okumji okjuim okjumi okjium okjimu okjmiu okjmui okijum okijmu okiujm
okiumj okimuj okimju okmjiu okmjui okmiju okmiuj okmuij okmuji uomjik uomjki
uomijk uomikj uomkij uomkji uojmik uojmki uojimk uojikm uojkim uojkmi uoijmk
uoijkm uoimjk uoimkj uoikmj uoikjm uokjim uokjmi uokijm uokimj uokmij uokmji
umojik umojki umoijk umoikj umokij umokji umjoik umjoki umjiok umjiko umjkio
umjkoi umijok umijko umiojk umiokj umikoj umikjo umkjio umkjoi umkijo umkioj
umkoij umkoji ujmoik ujmoki ujmiok ujmiko ujmkio ujmkoi ujomik ujomki ujoimk
ujoikm ujokim ujokmi ujiomk ujiokm ujimok ujimko ujikmo ujikom ujkoim ujkomi
ujkiom ujkimo ujkmio ujkmoi uimjok uimjko uimojk uimokj uimkoj uimkjo uijmok
uijmko uijomk uijokm uijkom uijkmo uiojmk uiojkm uiomjk uiomkj uiokmj uiokjm
uikjom uikjmo uikojm uikomj uikmoj uikmjo ukmjio ukmjoi ukmijo ukmioj ukmoij
ukmoji ukjmio ukjmoi ukjimo ukjiom ukjoim ukjomi ukijmo ukijom ukimjo ukimoj
ukiomj ukiojm ukojim ukojmi ukoijm ukoimj ukomij ukomji joumik joumki jouimk
jouikm joukim joukmi jomuik jomuki jomiuk jomiku jomkiu jomkui joimuk joimku
joiumk joiukm joikum joikmu jokmiu jokmui jokimu jokium jokuim jokumi juomik
juomki juoimk juoikm juokim juokmi jumoik jumoki jumiok jumiko jumkio jumkoi
juimok juimko juiomk juiokm juikom juikmo jukmio jukmoi jukimo jukiom jukoim
jukomi jmuoik jmuoki jmuiok jmuiko jmukio jmukoi jmouik jmouki jmoiuk jmoiku
jmokiu jmokui jmiouk jmioku jmiuok jmiuko jmikuo jmikou jmkoiu jmkoui jmkiou
jmkiuo jmkuio jmkuoi jiumok jiumko jiuomk jiuokm jiukom jiukmo jimuok jimuko
jimouk jimoku jimkou jimkuo jiomuk jiomku jioumk jioukm jiokum jiokmu jikmou
jikmuo jikomu jikoum jikuom jikumo jkumio jkumoi jkuimo jkuiom jkuoim jkuomi
jkmuio jkmuoi jkmiuo jkmiou jkmoiu jkmoui jkimuo jkimou jkiumo jkiuom jkioum
jkiomu jkomiu jkomui jkoimu jkoium jkouim jkoumi ioujmk ioujkm ioumjk ioumkj
ioukmj ioukjm iojumk iojukm iojmuk iojmku iojkmu iojkum iomjuk iomjku iomujk
iomukj iomkuj iomkju iokjmu iokjum iokmju iokmuj iokumj iokujm iuojmk iuojkm
iuomjk iuomkj iuokmj iuokjm iujomk iujokm iujmok iujmko iujkmo iujkom iumjok
iumjko iumojk iumokj iumkoj iumkjo iukjmo iukjom iukmjo iukmoj iukomj iukojm
ijuomk ijuokm ijumok ijumko ijukmo ijukom ijoumk ijoukm ijomuk ijomku ijokmu
ijokum ijmouk ijmoku ijmuok ijmuko ijmkuo ijmkou ijkomu ijkoum ijkmou ijkmuo
ijkumo ijkuom imujok imujko imuojk imuokj imukoj imukjo imjuok imjuko imjouk
imjoku imjkou imjkuo imojuk imojku imoujk imoukj imokuj imokju imkjou imkjuo
imkoju imkouj imkuoj imkujo ikujmo ikujom ikumjo ikumoj ikuomj ikuojm ikjumo
ikjuom ikjmuo ikjmou ikjomu ikjoum ikmjuo ikmjou ikmujo ikmuoj ikmouj ikmoju
ikojmu ikojum ikomju ikomuj ikoumj ikoujm koujim koujmi kouijm kouimj koumij
koumji kojuim kojumi kojium kojimu kojmiu kojmui koijum koijmu koiujm koiumj
koimuj koimju komjiu komjui komiju komiuj komuij komuji kuojim kuojmi kuoijm
kuoimj kuomij kuomji kujoim kujomi kujiom kujimo kujmio kujmoi kuijom kuijmo
kuiojm kuiomj kuimoj kuimjo kumjio kumjoi kumijo kumioj kumoij kumoji kjuoim
kjuomi kjuiom kjuimo kjumio kjumoi kjouim kjoumi kjoium kjoimu kjomiu kjomui
kjioum kjiomu kjiuom kjiumo kjimuo kjimou kjmoiu kjmoui kjmiou kjmiuo kjmuio
kjmuoi kiujom kiujmo kiuojm kiuomj kiumoj kiumjo kijuom kijumo kijoum kijomu
kijmou kijmuo kiojum kiojmu kioujm kioumj kiomuj kiomju kimjou kimjuo kimoju
kimouj kimuoj kimujo kmujio kmujoi kmuijo kmuioj kmuoij kmuoji kmjuio kmjuoi
kmjiuo kmjiou kmjoiu kmjoui kmijuo kmijou kmiujo kmiuoj kmiouj kmioju kmojiu
kmojui kmoiju kmoiuj kmouij kmouji

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