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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: zamuto
cipher variations:
abnvup bcowvq cdpxwr deqyxs efrzyt
fgsazu ghtbav hiucbw ijvdcx jkwedy
klxfez lmygfa mnzhgb noaihc opbjid
pqckje qrdlkf rsemlg stfnmh tugoni
uvhpoj vwiqpk wxjrql xyksrm yzltsn

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: zamuto
Cipher: aznfgl

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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: zamuto

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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: zamuto
cipher variations:

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: zamuto
Cipher: mnzhgb

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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: zamuto
Cipher: 551123544443

Extended Methods:
Method #1

Plaintext: zamuto
method variations:

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
z a m u t o 
5 1 2 5 4 4 
5 1 3 4 4 3 
They are then read out in rows:
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: zamuto
Cipher: ewteso

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Method #3

Plaintext: zamuto
method variations:
efxttx fxttxe xttxef
ttxefx txefxt xefxtt

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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: zamuto

all 720 cipher variations:
zamuto zamuot zamtuo zamtou zamotu zamout zaumto zaumot zautmo zautom zauotm
zauomt zatumo zatuom zatmuo zatmou zatomu zatoum zaoutm zaoumt zaotum zaotmu
zaomtu zaomut zmauto zmauot zmatuo zmatou zmaotu zmaout zmuato zmuaot zmutao
zmutoa zmuota zmuoat zmtuao zmtuoa zmtauo zmtaou zmtoau zmtoua zmouta zmouat
zmotua zmotau zmoatu zmoaut zumato zumaot zumtao zumtoa zumota zumoat zuamto
zuamot zuatmo zuatom zuaotm zuaomt zutamo zutaom zutmao zutmoa zutoma zutoam
zuoatm zuoamt zuotam zuotma zuomta zuomat ztmuao ztmuoa ztmauo ztmaou ztmoau
ztmoua ztumao ztumoa ztuamo ztuaom ztuoam ztuoma ztaumo ztauom ztamuo ztamou
ztaomu ztaoum ztouam ztouma ztoaum ztoamu ztomau ztomua zomuta zomuat zomtua
zomtau zomatu zomaut zoumta zoumat zoutma zoutam zouatm zouamt zotuma zotuam
zotmua zotmau zotamu zotaum zoautm zoaumt zoatum zoatmu zoamtu zoamut azmuto
azmuot azmtuo azmtou azmotu azmout azumto azumot azutmo azutom azuotm azuomt
aztumo aztuom aztmuo aztmou aztomu aztoum azoutm azoumt azotum azotmu azomtu
azomut amzuto amzuot amztuo amztou amzotu amzout amuzto amuzot amutzo amutoz
amuotz amuozt amtuzo amtuoz amtzuo amtzou amtozu amtouz amoutz amouzt amotuz
amotzu amoztu amozut aumzto aumzot aumtzo aumtoz aumotz aumozt auzmto auzmot
auztmo auztom auzotm auzomt autzmo autzom autmzo autmoz automz autozm auoztm
auozmt auotzm auotmz auomtz auomzt atmuzo atmuoz atmzuo atmzou atmozu atmouz
atumzo atumoz atuzmo atuzom atuozm atuomz atzumo atzuom atzmuo atzmou atzomu
atzoum atouzm atoumz atozum atozmu atomzu atomuz aomutz aomuzt aomtuz aomtzu
aomztu aomzut aoumtz aoumzt aoutmz aoutzm aouztm aouzmt aotumz aotuzm aotmuz
aotmzu aotzmu aotzum aozutm aozumt aoztum aoztmu aozmtu aozmut mazuto mazuot
maztuo maztou mazotu mazout mauzto mauzot mautzo mautoz mauotz mauozt matuzo
matuoz matzuo matzou matozu matouz maoutz maouzt maotuz maotzu maoztu maozut
mzauto mzauot mzatuo mzatou mzaotu mzaout mzuato mzuaot mzutao mzutoa mzuota
mzuoat mztuao mztuoa mztauo mztaou mztoau mztoua mzouta mzouat mzotua mzotau
mzoatu mzoaut muzato muzaot muztao muztoa muzota muzoat muazto muazot muatzo
muatoz muaotz muaozt mutazo mutaoz mutzao mutzoa mutoza mutoaz muoatz muoazt
muotaz muotza muozta muozat mtzuao mtzuoa mtzauo mtzaou mtzoau mtzoua mtuzao
mtuzoa mtuazo mtuaoz mtuoaz mtuoza mtauzo mtauoz mtazuo mtazou mtaozu mtaouz
mtouaz mtouza mtoauz mtoazu mtozau mtozua mozuta mozuat moztua moztau mozatu
mozaut mouzta mouzat moutza moutaz mouatz mouazt motuza motuaz motzua motzau
motazu motauz moautz moauzt moatuz moatzu moaztu moazut uamzto uamzot uamtzo
uamtoz uamotz uamozt uazmto uazmot uaztmo uaztom uazotm uazomt uatzmo uatzom
uatmzo uatmoz uatomz uatozm uaoztm uaozmt uaotzm uaotmz uaomtz uaomzt umazto
umazot umatzo umatoz umaotz umaozt umzato umzaot umztao umztoa umzota umzoat
umtzao umtzoa umtazo umtaoz umtoaz umtoza umozta umozat umotza umotaz umoatz
umoazt uzmato uzmaot uzmtao uzmtoa uzmota uzmoat uzamto uzamot uzatmo uzatom
uzaotm uzaomt uztamo uztaom uztmao uztmoa uztoma uztoam uzoatm uzoamt uzotam
uzotma uzomta uzomat utmzao utmzoa utmazo utmaoz utmoaz utmoza utzmao utzmoa
utzamo utzaom utzoam utzoma utazmo utazom utamzo utamoz utaomz utaozm utozam
utozma utoazm utoamz utomaz utomza uomzta uomzat uomtza uomtaz uomatz uomazt
uozmta uozmat uoztma uoztam uozatm uozamt uotzma uotzam uotmza uotmaz uotamz
uotazm uoaztm uoazmt uoatzm uoatmz uoamtz uoamzt tamuzo tamuoz tamzuo tamzou
tamozu tamouz taumzo taumoz tauzmo tauzom tauozm tauomz tazumo tazuom tazmuo
tazmou tazomu tazoum taouzm taoumz taozum taozmu taomzu taomuz tmauzo tmauoz
tmazuo tmazou tmaozu tmaouz tmuazo tmuaoz tmuzao tmuzoa tmuoza tmuoaz tmzuao
tmzuoa tmzauo tmzaou tmzoau tmzoua tmouza tmouaz tmozua tmozau tmoazu tmoauz
tumazo tumaoz tumzao tumzoa tumoza tumoaz tuamzo tuamoz tuazmo tuazom tuaozm
tuaomz tuzamo tuzaom tuzmao tuzmoa tuzoma tuzoam tuoazm tuoamz tuozam tuozma
tuomza tuomaz tzmuao tzmuoa tzmauo tzmaou tzmoau tzmoua tzumao tzumoa tzuamo
tzuaom tzuoam tzuoma tzaumo tzauom tzamuo tzamou tzaomu tzaoum tzouam tzouma
tzoaum tzoamu tzomau tzomua tomuza tomuaz tomzua tomzau tomazu tomauz toumza
toumaz touzma touzam touazm touamz tozuma tozuam tozmua tozmau tozamu tozaum
toauzm toaumz toazum toazmu toamzu toamuz oamutz oamuzt oamtuz oamtzu oamztu
oamzut oaumtz oaumzt oautmz oautzm oauztm oauzmt oatumz oatuzm oatmuz oatmzu
oatzmu oatzum oazutm oazumt oaztum oaztmu oazmtu oazmut omautz omauzt omatuz
omatzu omaztu omazut omuatz omuazt omutaz omutza omuzta omuzat omtuaz omtuza
omtauz omtazu omtzau omtzua omzuta omzuat omztua omztau omzatu omzaut oumatz
oumazt oumtaz oumtza oumzta oumzat ouamtz ouamzt ouatmz ouatzm ouaztm ouazmt
outamz outazm outmaz outmza outzma outzam ouzatm ouzamt ouztam ouztma ouzmta
ouzmat otmuaz otmuza otmauz otmazu otmzau otmzua otumaz otumza otuamz otuazm
otuzam otuzma otaumz otauzm otamuz otamzu otazmu otazum otzuam otzuma otzaum
otzamu otzmau otzmua ozmuta ozmuat ozmtua ozmtau ozmatu ozmaut ozumta ozumat
ozutma ozutam ozuatm ozuamt oztuma oztuam oztmua oztmau oztamu oztaum ozautm
ozaumt ozatum ozatmu ozamtu ozamut

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