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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: chenye
cipher variations:
difozf ejgpag fkhqbh glirci hmjsdj
inktek jolufl kpmvgm lqnwhn mroxio
nspyjp otqzkq puralr qvsbms rwtcnt
sxudou tyvepv uzwfqw vaxgrx wbyhsy
xczitz ydajua zebkvb afclwc bgdmxd

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: chenye
Cipher: xsvmbv

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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: chenye
Cipher: AAABA AABBB AABAA ABBAA BABBA AABAA

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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: chenye
cipher variations:
difozfhwnovnlkvorvpydondtmlojlxatoftfcjoxjjqrotr
nezopzrsholhvgpohpzuxodxejgpagixopwomlwpswqzepoe
unmpkmybupgugdkpykkrspusofapqastipmiwhqpiqavypey
fkhqbhjypqxpnmxqtxrafqpfvonqlnzcvqhvhelqzllstqvt
pgbqrbtujqnjxirqjrbwzqfzglircikzqryqonyruysbgrqg
wpormoadwriwifmrammturwuqhcrscuvkrokyjsrkscxarga
hmjsdjlarszrpozsvztchsrhxqpsnpbexsjxjgnsbnnuvsxv
ridstdvwlsplzktsltdybshbinktekmbstasqpatwauditsi
yrqtoqcfytkykhotcoovwtywsjetuewxmtqmalutmuezctic
joluflnctubtrqbuxbvejutjzsruprdgzulzlipudppwxuzx
tkfuvfxynurnbmvunvfadujdkpmvgmoduvcusrcvycwfkvuk
atsvqsehavmamjqveqqxyvayulgvwgyzovsocnwvowgbevke
lqnwhnpevwdvtsdwzdxglwvlbutwrtfibwnbnkrwfrryzwbz
vmhwxhzapwtpdoxwpxhcfwlfmroxioqfwxewutexaeyhmxwm
cvuxsugjcxocolsxgsszaxcawnixyiabqxuqepyxqyidgxmg
nspyjprgxyfxvufybfzinyxndwvytvhkdypdpmtyhttabydb
xojyzjbcryvrfqzyrzjehynhotqzkqshyzgywvgzcgajozyo
exwzuwilezqeqnuziuubczecypkzakcdszwsgrazsakfizoi
puralrtizahzxwhadhbkpazpfyxavxjmfarfrovajvvcdafd
zqlabldetaxthsbatblgjapjqvsbmsujabiayxibeiclqbaq
gzybwykngbsgspwbkwwdebgearmbcmefubyuitcbucmhkbqk
rwtcntvkbcjbzyjcfjdmrcbrhazcxzlohcthtqxclxxefchf
bsncdnfgvczvjudcvdnilcrlsxudouwlcdkcazkdgkensdcs
ibadyampiduiurydmyyfgdigctodeoghwdawkvedweojmdsm
tyvepvxmdeldbalehlfotedtjcbezbnqjevjvszenzzghejh
dupefphixebxlwfexfpknetnuzwfqwynefmecbmfimgpufeu
kdcfacorkfwkwtafoaahifkievqfgqijyfcymxgfygqlofuo
vaxgrxzofgnfdcngjnhqvgfvledgbdpslgxlxubgpbbijglj
fwrghrjkzgdznyhgzhrmpgvpwbyhsyapghogedohkoirwhgw
mfehceqtmhymyvchqccjkhmkgxshisklaheaozihaisnqhwq
xczitzbqhiphfepilpjsxihxngfidfruniznzwdirddklinl
hytijtlmbifbpajibjtorixrydajuacrijqigfqjmqktyjiy
ohgjegsvojaoaxejseelmjomizujkumncjgcqbkjckupsjys
zebkvbdsjkrjhgrknrluzkjzpihkfhtwpkbpbyfktffmnkpn
javklvnodkhdrclkdlvqtkztafclwcetklskihslosmvalka
qjilgiuxqlcqczgluggnolqokbwlmwopeliesdmlemwrulau
bgdmxdfulmtljitmptnwbmlbrkjmhjvyrmdrdahmvhhopmrp
lcxmnxpqfmjftenmfnxsvmbvchenyegvmnumkjunquoxcnmc
slknikwzsnesebinwiipqnsqmdynoyqrgnkgufongoytwncw

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: chenye
Cipher: puralr

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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: chenye
Cipher: 313251334551

Extended Methods:
Method #1

Plaintext: chenye
method variations:
hnksdknspxipsxucouxczhtz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
c h e n y e 
3 3 5 3 4 5 
1 2 1 3 5 1 
They are then read out in rows:
335345121351
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: chenye
Cipher: npyfle

Read more ...
Method #3

Plaintext: chenye
method variations:
lwlszl wlszll lszllw
szllwl zllwls llwlsz

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: chenye

all 720 cipher variations:
chenye cheney cheyne cheyen cheeyn cheeny chneye chneey chnyee chnyee chneye
chneey chynee chynee chyene chyeen chyeen chyene chenye cheney cheyne cheyen
cheeyn cheeny cehnye cehney cehyne cehyen ceheyn ceheny cenhye cenhey cenyhe
cenyeh ceneyh cenehy ceynhe ceyneh ceyhne ceyhen ceyehn ceyenh ceenyh ceenhy
ceeynh ceeyhn ceehyn ceehny cnehye cnehey cneyhe cneyeh cneeyh cneehy cnheye
cnheey cnhyee cnhyee cnheye cnheey cnyhee cnyhee cnyehe cnyeeh cnyeeh cnyehe
cnehye cnehey cneyhe cneyeh cneeyh cneehy cyenhe cyeneh cyehne cyehen cyeehn
cyeenh cynehe cyneeh cynhee cynhee cynehe cyneeh cyhnee cyhnee cyhene cyheen
cyheen cyhene cyenhe cyeneh cyehne cyehen cyeehn cyeenh ceenyh ceenhy ceeynh
ceeyhn ceehyn ceehny ceneyh cenehy cenyeh cenyhe cenhye cenhey ceyneh ceynhe
ceyenh ceyehn ceyhen ceyhne cehnye cehney cehyne cehyen ceheyn ceheny hcenye
hceney hceyne hceyen hceeyn hceeny hcneye hcneey hcnyee hcnyee hcneye hcneey
hcynee hcynee hcyene hcyeen hcyeen hcyene hcenye hceney hceyne hceyen hceeyn
hceeny hecnye hecney hecyne hecyen heceyn heceny hencye hencey henyce henyec
heneyc henecy heynce heynec heycne heycen heyecn heyenc heenyc heency heeync
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hncyee hncyee hnceye hnceey hnycee hnycee hnyece hnyeec hnyeec hnyece hnecye
hnecey hneyce hneyec hneeyc hneecy hyence hyenec hyecne hyecen hyeecn hyeenc
hynece hyneec hyncee hyncee hynece hyneec hycnee hycnee hycene hyceen hyceen
hycene hyence hyenec hyecne hyecen hyeecn hyeenc heenyc heency heeync heeycn
heecyn heecny heneyc henecy henyec henyce hencye hencey heynec heynce heyenc
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nehcey nehyce nehyec neheyc nehecy nechye nechey necyhe necyeh neceyh necehy
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nceyeh nceeyh nceehy nyeche nyeceh nyehce nyehec nyeehc nyeech nycehe nyceeh
nychee nychee nycehe nyceeh nyhcee nyhcee nyhece nyheec nyheec nyhece nyeche
nyeceh nyehce nyehec nyeehc nyeech neecyh neechy neeych neeyhc neehyc neehcy
neceyh necehy necyeh necyhe nechye nechey neyceh neyche neyech neyehc neyhec
neyhce nehcye nehcey nehyce nehyec neheyc nehecy yhence yhenec yhecne yhecen
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yehcne yehcen yehecn yehenc yenhce yenhec yenche yenceh yenech yenehc yecnhe
yecneh yechne yechen yecehn yecenh yeench yeenhc yeecnh yeechn yeehcn yeehnc
ynehce ynehec yneche yneceh yneech yneehc ynhece ynheec ynhcee ynhcee ynhece
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yneech yneehc ycenhe yceneh ycehne ycehen yceehn yceenh ycnehe ycneeh ycnhee
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yehnce yehnec yehcne yehcen yehecn yehenc ehenyc ehency eheync eheycn ehecyn
ehecny ehneyc ehnecy ehnyec ehnyce ehncye ehncey ehynec ehynce ehyenc ehyecn
ehycen ehycne ehcnye ehcney ehcyne ehcyen ehceyn ehceny eehnyc eehncy eehync
eehycn eehcyn eehcny eenhyc eenhcy eenyhc eenych eencyh eenchy eeynhc eeynch
eeyhnc eeyhcn eeychn eeycnh eecnyh eecnhy eecynh eecyhn eechyn eechny enehyc
enehcy eneyhc eneych enecyh enechy enheyc enhecy enhyec enhyce enhcye enhcey
enyhec enyhce enyehc enyech enyceh enyche enchye enchey encyhe encyeh enceyh
encehy eyenhc eyench eyehnc eyehcn eyechn eyecnh eynehc eynech eynhec eynhce
eynche eynceh eyhnec eyhnce eyhenc eyhecn eyhcen eyhcne eycnhe eycneh eychne
eychen eycehn eycenh ecenyh ecenhy eceynh eceyhn ecehyn ecehny ecneyh ecnehy
ecnyeh ecnyhe ecnhye ecnhey ecyneh ecynhe ecyenh ecyehn ecyhen ecyhne echnye
echney echyne echyen echeyn echeny

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