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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: terryd
cipher variations:
ufssze vgttaf whuubg xivvch yjwwdi
zkxxej alyyfk bmzzgl cnaahm dobbin
epccjo fqddkp greelq hsffmr itggns
juhhot kviipu lwjjqv mxkkrw nyllsx
ozmmty pannuz qboova rcppwb sdqqxc

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: terryd
Cipher: gviibw

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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: terryd
Cipher: BAABA AABAA BAAAA BAAAA BABBA AAABB

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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: terryd
cipher variations:
ufsszegnaavksviirqedqqnwqlyyjcctggfiajwwxumreeta
yzmmpgkhuulmwpcchsixkkdyvgttafhobbwltwjjsrferrox
rmzzkdduhhgjbkxxyvnsffubzannqhlivvmnxqdditjyllez
whuubgipccxmuxkktsgfsspysnaaleeviihkclyyzwotggvc
aboorimjwwnoyreejukzmmfaxivvchjqddynvylluthgttqz
tobbmffwjjildmzzaxpuhhwdbcppsjnkxxopzsffkvlanngb
yjwwdikreezowzmmvuihuuraupccnggxkkjmenaabyqviixe
cdqqtkolyypqatgglwmboohczkxxejlsffapxannwvjivvsb
vqddohhyllknfobbczrwjjyfderrulpmzzqrbuhhmxncppid
alyyfkmtggbqybooxwkjwwtcwreepiizmmlogpccdasxkkzg
efssvmqnaarscviinyodqqjebmzzglnuhhcrzcppyxlkxxud
xsffqjjannmphqddebtyllahfgttwnrobbstdwjjozperrkf
cnaahmoviidsadqqzymlyyveytggrkkboonqireefcuzmmbi
ghuuxospcctuexkkpaqfsslgdobbinpwjjetberraznmzzwf
zuhhsllcpporjsffgdvanncjhivvyptqdduvfyllqbrgttmh
epccjoqxkkfucfssbaonaaxgaviitmmdqqpsktgghewboodk
ijwwzqureevwgzmmrcshuunifqddkpryllgvdgttcbpobbyh
bwjjunnerrqtluhhifxcppeljkxxarvsffwxhannsdtivvoj
greelqszmmhwehuudcqpcczicxkkvoofssrumviijgydqqfm
klyybswtggxyibooteujwwpkhsffmrtannixfivvedrqddaj
dyllwppgttsvnwjjkhzerrgnlmzzctxuhhyzjcppufvkxxql
itggnsuboojygjwwfesreebkezmmxqqhuutwoxkkliafssho
mnaaduyviizakdqqvgwlyyrmjuhhotvcppkzhkxxgftsffcl
fannyrrivvuxpyllmjbgttipnobbevzwjjablerrwhxmzzsn
kviipuwdqqlailyyhgutggdmgboozssjwwvyqzmmnkchuujq
opccfwaxkkbcmfssxiynaatolwjjqvxerrmbjmzzihvuhhen
hcppattkxxwzrannoldivvkrpqddgxbyllcdngttyjzobbup
mxkkrwyfssncknaajiwviifoidqqbuulyyxasboopmejwwls
qreehyczmmdeohuuzkapccvqnyllsxzgttodlobbkjxwjjgp
jerrcvvmzzybtcppqnfkxxmtrsffizdannefpivvalbqddwr
ozmmtyahuupempcclkyxkkhqkfssdwwnaazcudqqroglyynu
stggjaeboofgqjwwbmcreexspannuzbivvqfnqddmlzyllir
lgttexxobbadverrsphmzzovtuhhkbfcppghrkxxcndsffyt
qboovacjwwrgoreenmazmmjsmhuufyypccbewfsstqinaapw
uviilcgdqqhislyydoetggzurcppwbdkxxshpsffonbannkt
nivvgzzqddcfxgtturjobbqxvwjjmdherrijtmzzepfuhhav
sdqqxcelyytiqtggpocbooluojwwhaareedgyhuuvskpccry
wxkkneifssjkunaafqgviibwterrydfmzzujruhhqpdcppmv
pkxxibbsffehzivvwtlqddszxyllofjgttklvobbgrhwjjcx

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: terryd
Cipher: greelq

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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: terryd
Cipher: 445124244541

Extended Methods:
Method #1

Plaintext: terryd
method variations:
ykwwdidpbbioiuggotozmmty

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
t e r r y d 
4 5 2 2 4 4 
4 1 4 4 5 1 
They are then read out in rows:
452244414451
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: terryd
Cipher: ygtdte

Read more ...
Method #3

Plaintext: terryd
method variations:
yfituq fituqy ituqyf
tuqyfi uqyfit qyfitu

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: terryd

all 720 cipher variations:
terryd terrdy teryrd terydr terdyr terdry terryd terrdy teryrd terydr terdyr
terdry teyrrd teyrdr teyrrd teyrdr teydrr teydrr tedryr tedrry tedyrr tedyrr
tedryr tedrry treryd trerdy treyrd treydr tredyr tredry trreyd trredy trryed
trryde trrdye trrdey tryred tryrde tryerd tryedr tryder trydre trdrye trdrey
trdyre trdyer trdeyr trdery trreyd trredy trryed trryde trrdye trrdey treryd
trerdy treyrd treydr tredyr tredry tryerd tryedr tryred tryrde trydre tryder
trdeyr trdery trdyer trdyre trdrye trdrey tyrred tyrrde tyrerd tyredr tyrder
tyrdre tyrred tyrrde tyrerd tyredr tyrder tyrdre tyerrd tyerdr tyerrd tyerdr
tyedrr tyedrr tydrer tydrre tyderr tyderr tydrer tydrre tdrrye tdrrey tdryre
tdryer tdreyr tdrery tdrrye tdrrey tdryre tdryer tdreyr tdrery tdyrre tdyrer
tdyrre tdyrer tdyerr tdyerr tderyr tderry tdeyrr tdeyrr tderyr tderry etrryd
etrrdy etryrd etrydr etrdyr etrdry etrryd etrrdy etryrd etrydr etrdyr etrdry
etyrrd etyrdr etyrrd etyrdr etydrr etydrr etdryr etdrry etdyrr etdyrr etdryr
etdrry ertryd ertrdy ertyrd ertydr ertdyr ertdry errtyd errtdy errytd errydt
errdyt errdty eryrtd eryrdt erytrd erytdr erydtr erydrt erdryt erdrty erdyrt
erdytr erdtyr erdtry errtyd errtdy errytd errydt errdyt errdty ertryd ertrdy
ertyrd ertydr ertdyr ertdry erytrd erytdr eryrtd eryrdt erydrt erydtr erdtyr
erdtry erdytr erdyrt erdryt erdrty eyrrtd eyrrdt eyrtrd eyrtdr eyrdtr eyrdrt
eyrrtd eyrrdt eyrtrd eyrtdr eyrdtr eyrdrt eytrrd eytrdr eytrrd eytrdr eytdrr
eytdrr eydrtr eydrrt eydtrr eydtrr eydrtr eydrrt edrryt edrrty edryrt edrytr
edrtyr edrtry edrryt edrrty edryrt edrytr edrtyr edrtry edyrrt edyrtr edyrrt
edyrtr edytrr edytrr edtryr edtrry edtyrr edtyrr edtryr edtrry retryd retrdy
retyrd retydr retdyr retdry rertyd rertdy rerytd rerydt rerdyt rerdty reyrtd
reyrdt reytrd reytdr reydtr reydrt redryt redrty redyrt redytr redtyr redtry
rteryd rterdy rteyrd rteydr rtedyr rtedry rtreyd rtredy rtryed rtryde rtrdye
rtrdey rtyred rtyrde rtyerd rtyedr rtyder rtydre rtdrye rtdrey rtdyre rtdyer
rtdeyr rtdery rrteyd rrtedy rrtyed rrtyde rrtdye rrtdey rretyd rretdy rreytd
rreydt rredyt rredty rryetd rryedt rryted rrytde rrydte rrydet rrdeyt rrdety
rrdyet rrdyte rrdtye rrdtey rytred rytrde ryterd rytedr rytder rytdre ryrted
ryrtde ryretd ryredt ryrdet ryrdte ryertd ryerdt ryetrd ryetdr ryedtr ryedrt
rydret rydrte rydert rydetr rydter rydtre rdtrye rdtrey rdtyre rdtyer rdteyr
rdtery rdrtye rdrtey rdryte rdryet rdreyt rdrety rdyrte rdyret rdytre rdyter
rdyetr rdyert rderyt rderty rdeyrt rdeytr rdetyr rdetry rertyd rertdy rerytd
rerydt rerdyt rerdty retryd retrdy retyrd retydr retdyr retdry reytrd reytdr
reyrtd reyrdt reydrt reydtr redtyr redtry redytr redyrt redryt redrty rretyd
rretdy rreytd rreydt rredyt rredty rrteyd rrtedy rrtyed rrtyde rrtdye rrtdey
rryted rrytde rryetd rryedt rrydet rrydte rrdtye rrdtey rrdyte rrdyet rrdeyt
rrdety rtreyd rtredy rtryed rtryde rtrdye rtrdey rteryd rterdy rteyrd rteydr
rtedyr rtedry rtyerd rtyedr rtyred rtyrde rtydre rtyder rtdeyr rtdery rtdyer
rtdyre rtdrye rtdrey ryrted ryrtde ryretd ryredt ryrdet ryrdte rytred rytrde
ryterd rytedr rytder rytdre ryetrd ryetdr ryertd ryerdt ryedrt ryedtr rydter
rydtre rydetr rydert rydret rydrte rdrtye rdrtey rdryte rdryet rdreyt rdrety
rdtrye rdtrey rdtyre rdtyer rdteyr rdtery rdytre rdyter rdyrte rdyret rdyert
rdyetr rdetyr rdetry rdeytr rdeyrt rderyt rderty yerrtd yerrdt yertrd yertdr
yerdtr yerdrt yerrtd yerrdt yertrd yertdr yerdtr yerdrt yetrrd yetrdr yetrrd
yetrdr yetdrr yetdrr yedrtr yedrrt yedtrr yedtrr yedrtr yedrrt yrertd yrerdt
yretrd yretdr yredtr yredrt yrretd yrredt yrrted yrrtde yrrdte yrrdet yrtred
yrtrde yrterd yrtedr yrtder yrtdre yrdrte yrdret yrdtre yrdter yrdetr yrdert
yrretd yrredt yrrted yrrtde yrrdte yrrdet yrertd yrerdt yretrd yretdr yredtr
yredrt yrterd yrtedr yrtred yrtrde yrtdre yrtder yrdetr yrdert yrdter yrdtre
yrdrte yrdret ytrred ytrrde ytrerd ytredr ytrder ytrdre ytrred ytrrde ytrerd
ytredr ytrder ytrdre yterrd yterdr yterrd yterdr ytedrr ytedrr ytdrer ytdrre
ytderr ytderr ytdrer ytdrre ydrrte ydrret ydrtre ydrter ydretr ydrert ydrrte
ydrret ydrtre ydrter ydretr ydrert ydtrre ydtrer ydtrre ydtrer ydterr ydterr
ydertr yderrt ydetrr ydetrr ydertr yderrt derryt derrty deryrt derytr dertyr
dertry derryt derrty deryrt derytr dertyr dertry deyrrt deyrtr deyrrt deyrtr
deytrr deytrr detryr detrry detyrr detyrr detryr detrry dreryt drerty dreyrt
dreytr dretyr dretry drreyt drrety drryet drryte drrtye drrtey dryret dryrte
dryert dryetr dryter drytre drtrye drtrey drtyre drtyer drteyr drtery drreyt
drrety drryet drryte drrtye drrtey dreryt drerty dreyrt dreytr dretyr dretry
dryert dryetr dryret dryrte drytre dryter drteyr drtery drtyer drtyre drtrye
drtrey dyrret dyrrte dyrert dyretr dyrter dyrtre dyrret dyrrte dyrert dyretr
dyrter dyrtre dyerrt dyertr dyerrt dyertr dyetrr dyetrr dytrer dytrre dyterr
dyterr dytrer dytrre dtrrye dtrrey dtryre dtryer dtreyr dtrery dtrrye dtrrey
dtryre dtryer dtreyr dtrery dtyrre dtyrer dtyrre dtyrer dtyerr dtyerr dteryr
dterry dteyrr dteyrr dteryr dterry

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