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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: editis
cipher variations:
fejujt gfkvku hglwlv ihmxmw jinynx
kjozoy lkpapz mlqbqa nmrcrb onsdsc
potetd qpufue rqvgvf srwhwg tsxixh
utyjyi vuzkzj wvalak xwbmbl yxcncm
zydodn azepeo bafqfp cbgrgq dchshr

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: editis
Cipher: vwrgrh

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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: editis
Cipher: AABAA AAABB ABAAA BAABA ABAAA BAAAB

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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: editis
cipher variations:
fejujtnkzgzdvqpspndwfefxlcvqvhtilclrjurarlrahmhv
zgxyxfhmnknppsdwdzxytitjgfkvkuolahaewrqtqoexgfgy
mdwrwiujmdmskvsbsmsbiniwahyzyginoloqqtexeayzujuk
hglwlvpmbibfxsrurpfyhghznexsxjvknentlwtctntcjojx
bizazhjopmprrufyfbzavkvlihmxmwqncjcgytsvsqgzihia
ofytykwlofoumxuduoudkpkycjabaikpqnqssvgzgcabwlwm
jinynxrodkdhzutwtrhajijbpgzuzlxmpgpvnyvevpvelqlz
dkbcbjlqrorttwhahdbcxmxnkjozoyspeleiavuxusibkjkc
qhavamynqhqwozwfwqwfmrmaelcdckmrspsuuxibiecdynyo
lkpapztqfmfjbwvyvtjclkldribwbnzorirxpaxgxrxgnsnb
fmdedlnstqtvvyjcjfdezozpmlqbqaurgngkcxwzwukdmlme
sjcxcoapsjsyqbyhysyhotocgnefemoturuwwzkdkgefapaq
nmrcrbvshohldyxaxvlenmnftkdydpbqtktzrcziztzipupd
hofgfnpuvsvxxalelhfgbqbronsdscwtipimezybywmfonog
ulezeqcruluasdajauajqvqeipghgoqvwtwyybmfmighcrcs
potetdxujqjnfazczxngpophvmfafrdsvmvbtebkbvbkrwrf
jqhihprwxuxzzcngnjhidsdtqpufueyvkrkogbadayohqpqi
wngbgsetwnwcufclcwclsxsgkrijiqsxyvyaadohokijeteu
rqvgvfzwlslphcbebzpirqrjxohchtfuxoxdvgdmdxdmtyth
lsjkjrtyzwzbbepipljkfufvsrwhwgaxmtmqidcfcaqjsrsk
ypidiugvypyewheneyenuzuimtklksuzaxaccfqjqmklgvgw
tsxixhbynunrjedgdbrktstlzqjejvhwzqzfxifofzfovavj
nulmltvabybddgrkrnlmhwhxutyjyiczovoskfehecslutum
arkfkwixaragyjgpgagpwbwkovmnmuwbczceehslsomnixiy
vuzkzjdapwptlgfifdtmvuvnbslglxjybsbhzkhqhbhqxcxl
pwnonvxcdadffitmtpnojyjzwvalakebqxqumhgjgeunwvwo
ctmhmykzctcialiricirydymqxopowydebeggjunuqopkzka
xwbmblfcryrvnihkhfvoxwxpduninzladudjbmjsjdjszezn
rypqpxzefcfhhkvovrpqlalbyxcncmgdszswojiligwpyxyq
evojoambevekcnktkektafaoszqrqyafgdgiilwpwsqrmbmc
zydodnhetatxpkjmjhxqzyzrfwpkpbncfwfldolulflubgbp
tarsrzbghehjjmxqxtrsncndazepeoifubuyqlknkiyrazas
gxqlqcodgxgmepmvmgmvchcqubstsachifikknyryustodoe
bafqfpjgvcvzrmloljzsbabthyrmrdpehyhnfqnwnhnwdidr
vctutbdijgjllozszvtupepfcbgrgqkhwdwasnmpmkatcbcu
izsnseqfiziogroxoioxejeswduvucejkhkmmpatawuvqfqg
dchshrlixexbtonqnlbudcdvjatotfrgjajphspypjpyfkft
xevwvdfklilnnqbubxvwrgrheditismjyfycuporomcvedew
kbupugshkbkqitqzqkqzglguyfwxweglmjmoorcvcywxshsi

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: editis
Cipher: rqvgvf

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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: editis
Cipher: 514142444234

Extended Methods:
Method #1

Plaintext: editis
method variations:
kioyoxpotdtcutyiyhzydodn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
e d i t i s 
5 4 4 4 4 3 
1 1 2 4 2 4 
They are then read out in rows:
544443112424
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: editis
Cipher: utoarr

Read more ...
Method #3

Plaintext: editis
method variations:
qqrtmy qrtmyq rtmyqq
tmyqqr myqqrt yqqrtm

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: editis

all 720 cipher variations:
editis editsi ediits ediist edisit edisti edtiis edtisi edtiis edtisi edtsii
edtsii editis editsi ediits ediist edisit edisti edstii edstii edsiti edsiit
edsiit edsiti eidtis eidtsi eidits eidist eidsit eidsti eitdis eitdsi eitids
eitisd eitsid eitsdi eiitds eiitsd eiidts eiidst eiisdt eiistd eistid eistdi
eisitd eisidt eisdit eisdti etidis etidsi etiids etiisd etisid etisdi etdiis
etdisi etdiis etdisi etdsii etdsii etidis etidsi etiids etiisd etisid etisdi
etsdii etsdii etsidi etsiid etsiid etsidi eiitds eiitsd eiidts eiidst eiisdt
eiistd eitids eitisd eitdis eitdsi eitsdi eitsid eidtis eidtsi eidits eidist
eidsit eidsti eistdi eistid eisdti eisdit eisidt eisitd esitid esitdi esiitd
esiidt esidit esidti estiid estidi estiid estidi estdii estdii esitid esitdi
esiitd esiidt esidit esidti esdtii esdtii esditi esdiit esdiit esditi deitis
deitsi deiits deiist deisit deisti detiis detisi detiis detisi detsii detsii
deitis deitsi deiits deiist deisit deisti destii destii desiti desiit desiit
desiti dietis dietsi dieits dieist diesit diesti diteis ditesi dities ditise
ditsie ditsei diites diitse diiets diiest diiset diiste distie distei disite
disiet diseit diseti dtieis dtiesi dtiies dtiise dtisie dtisei dteiis dteisi
dteiis dteisi dtesii dtesii dtieis dtiesi dtiies dtiise dtisie dtisei dtseii
dtseii dtsiei dtsiie dtsiie dtsiei diites diitse diiets diiest diiset diiste
dities ditise diteis ditesi ditsei ditsie dietis dietsi dieits dieist diesit
diesti distei distie diseti diseit disiet disite dsitie dsitei dsiite dsiiet
dsieit dsieti dstiie dstiei dstiie dstiei dsteii dsteii dsitie dsitei dsiite
dsiiet dsieit dsieti dsetii dsetii dseiti dseiit dseiit dseiti idetis idetsi
ideits ideist idesit idesti idteis idtesi idties idtise idtsie idtsei idites
iditse idiets idiest idiset idiste idstie idstei idsite idsiet idseit idseti
iedtis iedtsi iedits iedist iedsit iedsti ietdis ietdsi ietids ietisd ietsid
ietsdi ieitds ieitsd ieidts ieidst ieisdt ieistd iestid iestdi iesitd iesidt
iesdit iesdti itedis itedsi iteids iteisd itesid itesdi itdeis itdesi itdies
itdise itdsie itdsei itides itidse itieds itiesd itised itisde itsdie itsdei
itside itsied itseid itsedi iietds iietsd iiedts iiedst iiesdt iiestd iiteds
iitesd iitdes iitdse iitsde iitsed iidtes iidtse iidets iidest iidset iidste
iistde iisted iisdte iisdet iisedt iisetd isetid isetdi iseitd iseidt isedit
isedti isteid istedi istied istide istdie istdei isited isitde isietd isiedt
isidet isidte isdtie isdtei isdite isdiet isdeit isdeti tdieis tdiesi tdiies
tdiise tdisie tdisei tdeiis tdeisi tdeiis tdeisi tdesii tdesii tdieis tdiesi
tdiies tdiise tdisie tdisei tdseii tdseii tdsiei tdsiie tdsiie tdsiei tideis
tidesi tidies tidise tidsie tidsei tiedis tiedsi tieids tieisd tiesid tiesdi
tiieds tiiesd tiides tiidse tiisde tiised tiseid tisedi tisied tiside tisdie
tisdei teidis teidsi teiids teiisd teisid teisdi tediis tedisi tediis tedisi
tedsii tedsii teidis teidsi teiids teiisd teisid teisdi tesdii tesdii tesidi
tesiid tesiid tesidi tiieds tiiesd tiides tiidse tiisde tiised tieids tieisd
tiedis tiedsi tiesdi tiesid tideis tidesi tidies tidise tidsie tidsei tisedi
tiseid tisdei tisdie tiside tisied tsieid tsiedi tsiied tsiide tsidie tsidei
tseiid tseidi tseiid tseidi tsedii tsedii tsieid tsiedi tsiied tsiide tsidie
tsidei tsdeii tsdeii tsdiei tsdiie tsdiie tsdiei idites iditse idiets idiest
idiset idiste idties idtise idteis idtesi idtsei idtsie idetis idetsi ideits
ideist idesit idesti idstei idstie idseti idseit idsiet idsite iidtes iidtse
iidets iidest iidset iidste iitdes iitdse iiteds iitesd iitsed iitsde iietds
iietsd iiedts iiedst iiesdt iiestd iisted iistde iisetd iisedt iisdet iisdte
itides itidse itieds itiesd itised itisde itdies itdise itdeis itdesi itdsei
itdsie itedis itedsi iteids iteisd itesid itesdi itsdei itsdie itsedi itseid
itsied itside ieitds ieitsd ieidts ieidst ieisdt ieistd ietids ietisd ietdis
ietdsi ietsdi ietsid iedtis iedtsi iedits iedist iedsit iedsti iestdi iestid
iesdti iesdit iesidt iesitd isited isitde isietd isiedt isidet isidte istied
istide isteid istedi istdei istdie isetid isetdi iseitd iseidt isedit isedti
isdtei isdtie isdeti isdeit isdiet isdite sditie sditei sdiite sdiiet sdieit
sdieti sdtiie sdtiei sdtiie sdtiei sdteii sdteii sditie sditei sdiite sdiiet
sdieit sdieti sdetii sdetii sdeiti sdeiit sdeiit sdeiti sidtie sidtei sidite
sidiet sideit sideti sitdie sitdei sitide sitied siteid sitedi siitde siited
siidte siidet siiedt siietd sietid sietdi sieitd sieidt siedit siedti stidie
stidei stiide stiied stieid stiedi stdiie stdiei stdiie stdiei stdeii stdeii
stidie stidei stiide stiied stieid stiedi stedii stedii steidi steiid steiid
steidi siitde siited siidte siidet siiedt siietd sitide sitied sitdie sitdei
sitedi siteid sidtie sidtei sidite sidiet sideit sideti sietdi sietid siedti
siedit sieidt sieitd seitid seitdi seiitd seiidt seidit seidti setiid setidi
setiid setidi setdii setdii seitid seitdi seiitd seiidt seidit seidti sedtii
sedtii sediti sediit sediit sediti

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