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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: ceredo
cipher variations:
dfsfep egtgfq fhuhgr givihs hjwjit
ikxkju jlylkv kmzmlw lnanmx mobony
npcpoz oqdqpa prerqb qsfsrc rtgtsd
suhute tvivuf uwjwvg vxkxwh wylyxi
xzmzyj yanazk zbobal acpcbm bdqdcn

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: ceredo
Cipher: xvivwl

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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: ceredo
Cipher: AAABA AABAA BAAAA AABAA AAABB ABBAB

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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: ceredo
cipher variations:
dfsfephnankrlvivqtpdqdwvtlylcxxtgtizfjwjudjreraf
nzmzghrhuhmjvpcpslzxkxynegtgfqiobolsmwjwruqerexw
umzmdyyuhujagkxkveksfsbgoanahisivinkwqdqtmaylyzo
fhuhgrjpcpmtnxkxsvrfsfyxvnanezzvivkbhlylwfltgtch
pbobijtjwjolxrerunbzmzapgivihskqdqnuoylytwsgtgzy
wobofaawjwlcimzmxgmuhudiqcpcjkukxkpmysfsvocanabq
hjwjitlrerovpzmzuxthuhazxpcpgbbxkxmdjnanyhnvivej
rdqdklvlylqnztgtwpdbobcrikxkjumsfspwqanavyuiviba
yqdqhccylynekoboziowjwfkserelmwmzmroauhuxqecpcds
jlylkvntgtqxrbobwzvjwjcbzreriddzmzoflpcpajpxkxgl
tfsfmnxnanspbvivyrfdqdetkmzmlwouhuryscpcxawkxkdc
asfsjeeanapgmqdqbkqylyhmugtgnoyobotqcwjwzsgerefu
lnanmxpvivsztdqdybxlyledbtgtkffbobqhnrerclrzmzin
vhuhopzpcpurdxkxathfsfgvmobonyqwjwtauerezcymzmfe
cuhulggcpcriosfsdmsanajowivipqaqdqvseylybuigtghw
npcpozrxkxubvfsfadznangfdvivmhhdqdsjptgtentbobkp
xjwjqrbrerwtfzmzcvjhuhixoqdqpasylyvcwgtgbeaobohg
ewjwniieretkquhufoucpclqykxkrscsfsxuganadwkivijy
prerqbtzmzwdxhuhcfbpcpihfxkxojjfsfulrvivgpvdqdmr
zlylstdtgtyvhbobexljwjkzqsfsrcuanaxeyividgcqdqji
gylypkkgtgvmswjwhqwerensamzmtueuhuzwicpcfymkxkla
rtgtsdvbobyfzjwjehdrerkjhzmzqllhuhwntxkxirxfsfot
bnanuvfvivaxjdqdgznlylmbsuhutewcpczgakxkfiesfslk
ianarmmivixouylyjsygtgpucobovwgwjwbykerehaomzmnc
tvivufxdqdahblylgjftgtmljbobsnnjwjypvzmzktzhuhqv
dpcpwxhxkxczlfsfibpnanoduwjwvgyerebicmzmhkguhunm
kcpctookxkzqwanaluaivirweqdqxyiylydamgtgjcqobope
vxkxwhzfsfcjdnanilhvivonldqdupplylarxbobmvbjwjsx
freryzjzmzebnhuhkdrpcpqfwylyxiagtgdkeobojmiwjwpo
merevqqmzmbsycpcnwckxktygsfszakanafcoivilesqdqrg
xzmzyjbhuhelfpcpknjxkxqpnfsfwrrnanctzdqdoxdlyluz
htgtablbobgdpjwjmftrershyanazkcivifmgqdqlokylyrq
ogtgxssoboduaerepyemzmvaiuhubcmcpcheqkxkngusfsti
zbobaldjwjgnhrermplzmzsrphuhyttpcpevbfsfqzfnanwb
jvivcdndqdifrlylohvtgtujacpcbmekxkhoisfsnqmanats
qivizuuqdqfwcgtgragoboxckwjwdeoerejgsmzmpiwuhuvk
bdqdcnflylipjtgtornbobutrjwjavvrergxdhuhsbhpcpyd
lxkxefpfsfkhtnanqjxvivwlceredogmzmjqkuhupsocpcvu
skxkbwwsfshyeivitciqdqzemylyfgqgtgliuoborkywjwxm

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: ceredo
Cipher: prerqb

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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: ceredo
Cipher: 315124514143

Extended Methods:
Method #1

Plaintext: ceredo
method variations:
hkwkitnpbpoysugutdxzmzyi

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
c e r e d o 
3 5 2 5 4 4 
1 1 4 1 1 3 
They are then read out in rows:
352544114113
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: ceredo
Cipher: xwtadl

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Method #3

Plaintext: ceredo
method variations:
vfyqqn fyqqnv yqqnvf
qqnvfy qnvfyq nvfyqq

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: ceredo

all 720 cipher variations:
ceredo cereod cerdeo cerdoe cerode ceroed ceerdo ceerod ceedro ceedor ceeodr
ceeord cedero cedeor cedreo cedroe cedore cedoer ceoedr ceoerd ceoder ceodre
ceorde ceored creedo creeod credeo credoe creode creoed creedo creeod credeo
credoe creode creoed crdeeo crdeoe crdeeo crdeoe crdoee crdoee croede croeed
crodee crodee croede croeed ceredo cereod cerdeo cerdoe cerode ceroed ceerdo
ceerod ceedro ceedor ceeodr ceeord cedero cedeor cedreo cedroe cedore cedoer
ceoedr ceoerd ceoder ceodre ceorde ceored cdreeo cdreoe cdreeo cdreoe cdroee
cdroee cdereo cderoe cdeero cdeeor cdeoer cdeore cdeero cdeeor cdereo cderoe
cdeore cdeoer cdoeer cdoere cdoeer cdoere cdoree cdoree corede coreed cordee
cordee corede coreed coerde coered coedre coeder coeedr coeerd codere codeer
codree codree codere codeer coeedr coeerd coeder coedre coerde coered ecredo
ecreod ecrdeo ecrdoe ecrode ecroed ecerdo ecerod ecedro ecedor eceodr eceord
ecdero ecdeor ecdreo ecdroe ecdore ecdoer ecoedr ecoerd ecoder ecodre ecorde
ecored ercedo erceod ercdeo ercdoe ercode ercoed erecdo erecod eredco eredoc
ereodc ereocd erdeco erdeoc erdceo erdcoe erdoce erdoec eroedc eroecd erodec
erodce erocde eroced eercdo eercod eerdco eerdoc eerodc eerocd eecrdo eecrod
eecdro eecdor eecodr eecord eedcro eedcor eedrco eedroc eedorc eedocr eeocdr
eeocrd eeodcr eeodrc eeordc eeorcd edreco edreoc edrceo edrcoe edroce edroec
ederco ederoc edecro edecor edeocr edeorc edcero edceor edcreo edcroe edcore
edcoer edoecr edoerc edocer edocre edorce edorec eoredc eorecd eordec eordce
eorcde eorced eoerdc eoercd eoedrc eoedcr eoecdr eoecrd eoderc eodecr eodrec
eodrce eodcre eodcer eocedr eocerd eocder eocdre eocrde eocred recedo receod
recdeo recdoe recode recoed reecdo reecod reedco reedoc reeodc reeocd redeco
redeoc redceo redcoe redoce redoec reoedc reoecd reodec reodce reocde reoced
rceedo rceeod rcedeo rcedoe rceode rceoed rceedo rceeod rcedeo rcedoe rceode
rceoed rcdeeo rcdeoe rcdeeo rcdeoe rcdoee rcdoee rcoede rcoeed rcodee rcodee
rcoede rcoeed recedo receod recdeo recdoe recode recoed reecdo reecod reedco
reedoc reeodc reeocd redeco redeoc redceo redcoe redoce redoec reoedc reoecd
reodec reodce reocde reoced rdceeo rdceoe rdceeo rdceoe rdcoee rdcoee rdeceo
rdecoe rdeeco rdeeoc rdeoec rdeoce rdeeco rdeeoc rdeceo rdecoe rdeoce rdeoec
rdoeec rdoece rdoeec rdoece rdocee rdocee rocede roceed rocdee rocdee rocede
roceed roecde roeced roedce roedec roeedc roeecd rodece rodeec rodcee rodcee
rodece rodeec roeedc roeecd roedec roedce roecde roeced eercdo eercod eerdco
eerdoc eerodc eerocd eecrdo eecrod eecdro eecdor eecodr eecord eedcro eedcor
eedrco eedroc eedorc eedocr eeocdr eeocrd eeodcr eeodrc eeordc eeorcd erecdo
erecod eredco eredoc ereodc ereocd ercedo erceod ercdeo ercdoe ercode ercoed
erdceo erdcoe erdeco erdeoc erdoec erdoce erocde eroced erodce erodec eroedc
eroecd ecredo ecreod ecrdeo ecrdoe ecrode ecroed ecerdo ecerod ecedro ecedor
eceodr eceord ecdero ecdeor ecdreo ecdroe ecdore ecdoer ecoedr ecoerd ecoder
ecodre ecorde ecored edrceo edrcoe edreco edreoc edroec edroce edcreo edcroe
edcero edceor edcoer edcore edecro edecor ederco ederoc edeorc edeocr edocer
edocre edoecr edoerc edorec edorce eorcde eorced eordce eordec eoredc eorecd
eocrde eocred eocdre eocder eocedr eocerd eodcre eodcer eodrce eodrec eoderc
eodecr eoecdr eoecrd eoedcr eoedrc eoerdc eoercd dereco dereoc derceo dercoe
deroce deroec deerco deeroc deecro deecor deeocr deeorc decero deceor decreo
decroe decore decoer deoecr deoerc deocer deocre deorce deorec dreeco dreeoc
dreceo drecoe dreoce dreoec dreeco dreeoc dreceo drecoe dreoce dreoec drceeo
drceoe drceeo drceoe drcoee drcoee droece droeec drocee drocee droece droeec
dereco dereoc derceo dercoe deroce deroec deerco deeroc deecro deecor deeocr
deeorc decero deceor decreo decroe decore decoer deoecr deoerc deocer deocre
deorce deorec dcreeo dcreoe dcreeo dcreoe dcroee dcroee dcereo dceroe dceero
dceeor dceoer dceore dceero dceeor dcereo dceroe dceore dceoer dcoeer dcoere
dcoeer dcoere dcoree dcoree dorece doreec dorcee dorcee dorece doreec doerce
doerec doecre doecer doeecr doeerc docere doceer docree docree docere doceer
doeecr doeerc doecer doecre doerce doerec oeredc oerecd oerdec oerdce oercde
oerced oeerdc oeercd oeedrc oeedcr oeecdr oeecrd oederc oedecr oedrec oedrce
oedcre oedcer oecedr oecerd oecder oecdre oecrde oecred oreedc oreecd oredec
oredce orecde oreced oreedc oreecd oredec oredce orecde oreced ordeec ordece
ordeec ordece ordcee ordcee orcede orceed orcdee orcdee orcede orceed oeredc
oerecd oerdec oerdce oercde oerced oeerdc oeercd oeedrc oeedcr oeecdr oeecrd
oederc oedecr oedrec oedrce oedcre oedcer oecedr oecerd oecder oecdre oecrde
oecred odreec odrece odreec odrece odrcee odrcee oderec oderce odeerc odeecr
odecer odecre odeerc odeecr oderec oderce odecre odecer odceer odcere odceer
odcere odcree odcree ocrede ocreed ocrdee ocrdee ocrede ocreed ocerde ocered
ocedre oceder oceedr oceerd ocdere ocdeer ocdree ocdree ocdere ocdeer oceedr
oceerd oceder ocedre ocerde ocered

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