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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: yether
cipher variations:
zfuifs agvjgt bhwkhu cixliv djymjw
ekznkx flaoly gmbpmz hncqna iodrob
jpespc kqftqd lrgure mshvsf ntiwtg
oujxuh pvkyvi qwlzwj rxmaxk synbyl
tzoczm uapdan vbqebo wcrfcp xdsgdq

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: yether
Cipher: bvgsvi

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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: yether
Cipher: BABBA AABAA BAABA AABBB AABAA BAAAA

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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: yether
cipher variations:
zfuifsvngwnarvskvindeydqjlqmlyftcatgxjacjwtrmqre
pzyezmlhkshuhpwgpcdxiuxkagvjgtwohxobswtlwjoefzer
kmrnmzgudbuhykbdkxusnrsfqazfanmiltiviqxhqdeyjvyl
bhwkhuxpiypctxumxkpfgafslnsonahvecvizlcelyvtostg
rbagbonjmujwjryirefzkwzmcixlivyqjzqduyvnylqghbgt
motpobiwfdwjamdfmzwuptuhscbhcpoknvkxkszjsfgalxan
djymjwzrkarevzwozmrhichunpuqpcjxgexkbnegnaxvquvi
tdcidqplowlyltaktghbmyboekznkxaslbsfwaxpansijdiv
oqvrqdkyhfylcofhobywrvwjuedjerqmpxmzmubluhicnzcp
flaolybtmctgxbyqbotjkejwprwsrelzigzmdpgipczxswxk
vfekfsrnqynanvcmvijdoadqgmbpmzcunduhyczrcpuklfkx
qsxtsfmajhaneqhjqdaytxylwgflgtsorzobowdnwjkepber
hncqnadvoevizdasdqvlmglyrtyutgnbkibofrikrebzuyzm
xhgmhutpsapcpxeoxklfqcfsiodrobewpfwjaebterwmnhmz
suzvuhocljcpgsjlsfcavzanyihnivuqtbqdqyfpylmgrdgt
jpespcfxqgxkbfcufsxnoinatvawvipdmkdqhtkmtgdbwabo
zjiojwvrucrerzgqzmnhsehukqftqdgyrhylcgdvgtyopjob
uwbxwjqenleriulnuhecxbcpakjpkxwsvdsfsahranoitfiv
lrgurehzsizmdhewhuzpqkpcvxcyxkrfomfsjvmovifdycdq
blkqlyxtwetgtbisbopjugjwmshvsfiatjaneifxivaqrlqd
wydzylsgpngtkwnpwjgezdercmlrmzyuxfuhucjtcpqkvhkx
ntiwtgjbukbofjgyjwbrsmrexzeazmthqohulxoqxkhfaefs
dnmsnazvygvivdkudqrlwilyoujxuhkcvlcpgkhzkxcstnsf
yafbanuirpivmypryligbfgteontobawzhwjwelversmxjmz
pvkyvildwmdqhlialydtuotgzbgcbovjsqjwnzqszmjhcghu
fpoupcbxaixkxfmwfstnyknaqwlzwjmexnerimjbmzeuvpuh
achdcpwktrkxoartankidhivgqpvqdcybjylygnxgtuozlob
rxmaxknfyofsjnkcnafvwqvibdiedqxluslypbsuboljeijw
hrqwredzckzmzhoyhuvpampcsynbylogzpgtkoldobgwxrwj
cejferymvtmzqctvcpmkfjkxisrxsfeadlanaipzivwqbnqd
tzoczmphaqhulpmepchxysxkdfkgfsznwunarduwdqnlgkly
jtsytgfbembobjqajwxrcoreuapdanqibrivmqnfqdiyztyl
eglhgtaoxvobsevxeromhlmzkutzuhgcfncpckrbkxysdpsf
vbqeborjcsjwnrogrejzauzmfhmihubpywpctfwyfspnimna
lvuavihdgodqdlsclyzteqtgwcrfcpskdtkxosphsfkabvan
ginjivcqzxqdugxzgtqojnobmwvbwjiehperemtdmzaufruh
xdsgdqtleulyptqitglbcwbohjokjwdrayrevhyahurpkopc
nxwcxkjfiqfsfnuenabvgsviyetherumfvmzqurjuhmcdxcp
ikplkxesbzsfwizbivsqlpqdoyxdylkgjrgtgovfobcwhtwj

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: yether
Cipher: lrgure

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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: yether
Cipher: 455144325124

Extended Methods:
Method #1

Plaintext: yether
method variations:
dkynkwipdspbouixugtzoczm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
y e t h e r 
4 5 4 3 5 2 
5 1 4 2 1 4 
They are then read out in rows:
454352514214
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: yether
Cipher: yokeiq

Read more ...
Method #3

Plaintext: yether
method variations:
zqowft qowftz owftzq
wftzqo ftzqow tzqowf

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: yether

all 720 cipher variations:
yether yethre yetehr yeterh yetreh yetrhe yehter yehtre yehetr yehert yehret
yehrte yeehtr yeehrt yeethr yeetrh yeerth yeerht yerhet yerhte yereht yereth
yerteh yerthe yteher ytehre yteehr yteerh ytereh yterhe ytheer ythere ytheer
ythere ythree ythree yteher ytehre yteehr yteerh ytereh yterhe ytrhee ytrhee
ytrehe ytreeh ytreeh ytrehe yhteer yhtere yhteer yhtere yhtree yhtree yheter
yhetre yheetr yheert yheret yherte yheetr yheert yheter yhetre yherte yheret
yhreet yhrete yhreet yhrete yhrtee yhrtee yether yethre yetehr yeterh yetreh
yetrhe yehter yehtre yehetr yehert yehret yehrte yeehtr yeehrt yeethr yeetrh
yeerth yeerht yerhet yerhte yereht yereth yerteh yerthe yrthee yrthee yrtehe
yrteeh yrteeh yrtehe yrhtee yrhtee yrhete yrheet yrheet yrhete yrehte yrehet
yrethe yreteh yreeth yreeht yrehet yrehte yreeht yreeth yreteh yrethe eyther
eythre eytehr eyterh eytreh eytrhe eyhter eyhtre eyhetr eyhert eyhret eyhrte
eyehtr eyehrt eyethr eyetrh eyerth eyerht eyrhet eyrhte eyreht eyreth eyrteh
eyrthe etyher etyhre etyehr etyerh etyreh etyrhe ethyer ethyre etheyr ethery
ethrey ethrye etehyr etehry eteyhr eteyrh eteryh eterhy etrhey etrhye etrehy
etreyh etryeh etryhe ehtyer ehtyre ehteyr ehtery ehtrey ehtrye ehyter ehytre
ehyetr ehyert ehyret ehyrte eheytr eheyrt ehetyr ehetry eherty eheryt ehryet
ehryte ehreyt ehrety ehrtey ehrtye eethyr eethry eetyhr eetyrh eetryh eetrhy
eehtyr eehtry eehytr eehyrt eehryt eehrty eeyhtr eeyhrt eeythr eeytrh eeyrth
eeyrht eerhyt eerhty eeryht eeryth eertyh eerthy erthey erthye ertehy erteyh
ertyeh ertyhe erhtey erhtye erhety erheyt erhyet erhyte erehty erehyt erethy
eretyh ereyth ereyht eryhet eryhte eryeht eryeth eryteh erythe teyher teyhre
teyehr teyerh teyreh teyrhe tehyer tehyre teheyr tehery tehrey tehrye teehyr
teehry teeyhr teeyrh teeryh teerhy terhey terhye terehy tereyh teryeh teryhe
tyeher tyehre tyeehr tyeerh tyereh tyerhe tyheer tyhere tyheer tyhere tyhree
tyhree tyeher tyehre tyeehr tyeerh tyereh tyerhe tyrhee tyrhee tyrehe tyreeh
tyreeh tyrehe thyeer thyere thyeer thyere thyree thyree theyer theyre theeyr
theery therey therye theeyr theery theyer theyre therye therey threey threye
threey threye thryee thryee teyher teyhre teyehr teyerh teyreh teyrhe tehyer
tehyre teheyr tehery tehrey tehrye teehyr teehry teeyhr teeyrh teeryh teerhy
terhey terhye terehy tereyh teryeh teryhe tryhee tryhee tryehe tryeeh tryeeh
tryehe trhyee trhyee trheye trheey trheey trheye trehye trehey treyhe treyeh
treeyh treehy trehey trehye treehy treeyh treyeh treyhe hetyer hetyre heteyr
hetery hetrey hetrye heyter heytre heyetr heyert heyret heyrte heeytr heeyrt
heetyr heetry heerty heeryt heryet heryte hereyt herety hertey hertye hteyer
hteyre hteeyr hteery hterey hterye htyeer htyere htyeer htyere htyree htyree
hteyer hteyre hteeyr hteery hterey hterye htryee htryee htreye htreey htreey
htreye hyteer hytere hyteer hytere hytree hytree hyeter hyetre hyeetr hyeert
hyeret hyerte hyeetr hyeert hyeter hyetre hyerte hyeret hyreet hyrete hyreet
hyrete hyrtee hyrtee hetyer hetyre heteyr hetery hetrey hetrye heyter heytre
heyetr heyert heyret heyrte heeytr heeyrt heetyr heetry heerty heeryt heryet
heryte hereyt herety hertey hertye hrtyee hrtyee hrteye hrteey hrteey hrteye
hrytee hrytee hryete hryeet hryeet hryete hreyte hreyet hretye hretey hreety
hreeyt hreyet hreyte hreeyt hreety hretey hretye eethyr eethry eetyhr eetyrh
eetryh eetrhy eehtyr eehtry eehytr eehyrt eehryt eehrty eeyhtr eeyhrt eeythr
eeytrh eeyrth eeyrht eerhyt eerhty eeryht eeryth eertyh eerthy etehyr etehry
eteyhr eteyrh eteryh eterhy etheyr ethery ethyer ethyre ethrye ethrey etyher
etyhre etyehr etyerh etyreh etyrhe etrhye etrhey etryhe etryeh etreyh etrehy
ehteyr ehtery ehtyer ehtyre ehtrye ehtrey ehetyr ehetry eheytr eheyrt eheryt
eherty ehyetr ehyert ehyter ehytre ehyrte ehyret ehreyt ehrety ehryet ehryte
ehrtye ehrtey eyther eythre eytehr eyterh eytreh eytrhe eyhter eyhtre eyhetr
eyhert eyhret eyhrte eyehtr eyehrt eyethr eyetrh eyerth eyerht eyrhet eyrhte
eyreht eyreth eyrteh eyrthe erthye erthey ertyhe ertyeh erteyh ertehy erhtye
erhtey erhyte erhyet erheyt erhety eryhte eryhet erythe eryteh eryeth eryeht
erehyt erehty ereyht ereyth eretyh erethy rethey rethye retehy reteyh retyeh
retyhe rehtey rehtye rehety reheyt rehyet rehyte reehty reehyt reethy reetyh
reeyth reeyht reyhet reyhte reyeht reyeth reyteh reythe rtehey rtehye rteehy
rteeyh rteyeh rteyhe rtheey rtheye rtheey rtheye rthyee rthyee rtehey rtehye
rteehy rteeyh rteyeh rteyhe rtyhee rtyhee rtyehe rtyeeh rtyeeh rtyehe rhteey
rhteye rhteey rhteye rhtyee rhtyee rhetey rhetye rheety rheeyt rheyet rheyte
rheety rheeyt rhetey rhetye rheyte rheyet rhyeet rhyete rhyeet rhyete rhytee
rhytee rethey rethye retehy reteyh retyeh retyhe rehtey rehtye rehety reheyt
rehyet rehyte reehty reehyt reethy reetyh reeyth reeyht reyhet reyhte reyeht
reyeth reyteh reythe rythee rythee rytehe ryteeh ryteeh rytehe ryhtee ryhtee
ryhete ryheet ryheet ryhete ryehte ryehet ryethe ryeteh ryeeth ryeeht ryehet
ryehte ryeeht ryeeth ryeteh ryethe

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