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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: tument
cipher variations:
uvnfou vwogpv wxphqw xyqirx yzrjsy
zasktz abtlua bcumvb cdvnwc dewoxd
efxpye fgyqzf ghzrag hiasbh ijbtci
jkcudj kldvek lmewfl mnfxgm nogyhn
ophzio pqiajp qrjbkq rskclr stldms

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: tument
Cipher: gfnvmg

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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: tument
Cipher: BAABA BAABB ABABB AABAA ABBAA BAABA

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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: tument
cipher variations:
uvnfougjlnogsxjvoselhdoeqzfloqcndtocapzjoamdxrom
yrvzoykfthokwtrpowihpxoivwogpvhkmophtykwptfmiepf
ragmprdoeupdbqakpbneyspnzswapzlguiplxusqpxjiqypj
wxphqwilnpqiuzlxqugnjfqgsbhnqsepfvqecrblqcofztqo
atxbqamhvjqmyvtrqykjrzqkxyqirxjmoqrjvamyrvhokgrh
tciortfqgwrfdscmrdpgaurpbuycrbniwkrnzwusrzlksarl
yzrjsyknprskwbnzswiplhsiudjpsugrhxsgetdnseqhbvsq
cvzdscojxlsoaxvtsamltbsmzasktzloqstlxcoatxjqmitj
vekqtvhsiythfueotfricwtrdwaetdpkymtpbywutbnmuctn
abtluamprtumydpbuykrnjukwflruwitjzuigvfpugsjdxus
exbfueqlznuqczxvuconvduobcumvbnqsuvnzeqcvzlsokvl
xgmsvxjukavjhwgqvhtkeyvtfycgvfrmaovrdaywvdpowevp
cdvnwcortvwoafrdwamtplwmyhntwykvlbwkixhrwiulfzwu
gzdhwgsnbpwsebzxweqpxfwqdewoxdpsuwxpbgsexbnuqmxn
ziouxzlwmcxljyisxjvmgaxvhaeixhtocqxtfcayxfrqygxr
efxpyeqtvxyqchtfycovrnyoajpvyamxndymkzjtykwnhbyw
ibfjyiupdryugdbzygsrzhysfgyqzfruwyzrdiugzdpwsozp
bkqwzbnyoeznlakuzlxoiczxjcgkzjvqeszvhecazhtsaizt
ghzragsvxzasejvhaeqxtpaqclrxacozpfaomblvamypjday
kdhlakwrftawifdbaiutbjauhiasbhtwyabtfkwibfryuqbr
dmsybdpaqgbpncmwbnzqkebzleimblxsgubxjgecbjvuckbv
ijbtciuxzbcuglxjcgszvrcsentzceqbrhcqodnxcoarlfca
mfjncmythvcykhfdckwvdlcwjkcudjvyacdvhmykdhtawsdt
fouadfrcsidrpeoydpbsmgdbngkodnzuiwdzligedlxwemdx
kldvekwzbdewinzleiubxteugpvbegsdtjesqfpzeqctnhec
ohlpeoavjxeamjhfemyxfneylmewflxacefxjoamfjvcyufv
hqwcfhteukftrgqafrduoifdpimqfpbwkyfbnkigfnzygofz
mnfxgmybdfgykpbngkwdzvgwirxdgiufvlgushrbgsevpjge
qjnrgqcxlzgcoljhgoazhpganogyhnzceghzlqcohlxeawhx
jsyehjvgwmhvtischtfwqkhfrkoshrdymahdpmkihpbaiqhb
ophzioadfhiamrdpimyfbxiyktzfikwhxniwujtdiugxrlig
slptiseznbieqnljiqcbjricpqiajpbegijbnseqjnzgcyjz
luagjlxiyojxvkuejvhysmjhtmqujtfaocjfromkjrdcksjd
qrjbkqcfhjkcotfrkoahdzkamvbhkmyjzpkywlvfkwiztnki
unrvkugbpdkgspnlksedltkerskclrdgikldpugslpbiealb
nwcilnzkaqlzxmwglxjauoljvoswlvhcqelhtqomltfemulf
stldmsehjlmeqvhtmqcjfbmcoxdjmoalbrmaynxhmykbvpmk
wptxmwidrfmiurpnmugfnvmgtumentfikmnfrwiunrdkgcnd
pyeknpbmcsnbzoyinzlcwqnlxquynxjesgnjvsqonvhgownh

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: tument
Cipher: ghzrag

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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: tument
Cipher: 445423513344

Extended Methods:
Method #1

Plaintext: tument
method variations:
yzrksydewpxdikbuciopgzho

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
t u m e n t 
4 5 2 5 3 4 
4 4 3 1 3 4 
They are then read out in rows:
452534443134
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: tument
Cipher: ywstcs

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Method #3

Plaintext: tument
method variations:
yixlst ixlsty xlstyi
lstyix styixl tyixls

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: tument

all 720 cipher variations:
tument tumetn tumnet tumnte tumtne tumten tuemnt tuemtn tuenmt tuentm tuetnm
tuetmn tunemt tunetm tunmet tunmte tuntme tuntem tutenm tutemn tutnem tutnme
tutmne tutmen tmuent tmuetn tmunet tmunte tmutne tmuten tmeunt tmeutn tmenut
tmentu tmetnu tmetun tmneut tmnetu tmnuet tmnute tmntue tmnteu tmtenu tmteun
tmtneu tmtnue tmtune tmtuen temunt temutn temnut temntu temtnu temtun teumnt
teumtn teunmt teuntm teutnm teutmn tenumt tenutm tenmut tenmtu tentmu tentum
tetunm tetumn tetnum tetnmu tetmnu tetmun tnmeut tnmetu tnmuet tnmute tnmtue
tnmteu tnemut tnemtu tneumt tneutm tnetum tnetmu tnuemt tnuetm tnumet tnumte
tnutme tnutem tnteum tntemu tntuem tntume tntmue tntmeu ttmenu ttmeun ttmneu
ttmnue ttmune ttmuen ttemnu ttemun ttenmu ttenum tteunm tteumn ttnemu ttneum
ttnmeu ttnmue ttnume ttnuem ttuenm ttuemn ttunem ttunme ttumne ttumen utment
utmetn utmnet utmnte utmtne utmten utemnt utemtn utenmt utentm utetnm utetmn
utnemt utnetm utnmet utnmte utntme utntem uttenm uttemn uttnem uttnme uttmne
uttmen umtent umtetn umtnet umtnte umttne umtten umetnt umettn umentt umentt
umetnt umettn umnett umnett umntet umntte umntte umntet umtent umtetn umtnet
umtnte umttne umtten uemtnt uemttn uemntt uemntt uemtnt uemttn uetmnt uetmtn
uetnmt uetntm uettnm uettmn uentmt uenttm uenmtt uenmtt uentmt uenttm uettnm
uettmn uetntm uetnmt uetmnt uetmtn unmett unmett unmtet unmtte unmtte unmtet
unemtt unemtt unetmt unettm unettm unetmt untemt untetm untmet untmte unttme
unttem untetm untemt unttem unttme untmte untmet utment utmetn utmnet utmnte
utmtne utmten utemnt utemtn utenmt utentm utetnm utetmn utnemt utnetm utnmet
utnmte utntme utntem uttenm uttemn uttnem uttnme uttmne uttmen mutent mutetn
mutnet mutnte muttne mutten muetnt muettn muentt muentt muetnt muettn munett
munett muntet muntte muntte muntet mutent mutetn mutnet mutnte muttne mutten
mtuent mtuetn mtunet mtunte mtutne mtuten mteunt mteutn mtenut mtentu mtetnu
mtetun mtneut mtnetu mtnuet mtnute mtntue mtnteu mttenu mtteun mttneu mttnue
mttune mttuen metunt metutn metnut metntu mettnu mettun meutnt meuttn meuntt
meuntt meutnt meuttn menutt menutt mentut menttu menttu mentut metunt metutn
metnut metntu mettnu mettun mnteut mntetu mntuet mntute mnttue mntteu mnetut
mnettu mneutt mneutt mnetut mnettu mnuett mnuett mnutet mnutte mnutte mnutet
mnteut mntetu mntuet mntute mnttue mntteu mttenu mtteun mttneu mttnue mttune
mttuen mtetnu mtetun mtentu mtenut mteunt mteutn mtnetu mtneut mtnteu mtntue
mtnute mtnuet mtuent mtuetn mtunet mtunte mtutne mtuten eumtnt eumttn eumntt
eumntt eumtnt eumttn eutmnt eutmtn eutnmt eutntm euttnm euttmn euntmt eunttm
eunmtt eunmtt euntmt eunttm euttnm euttmn eutntm eutnmt eutmnt eutmtn emutnt
emuttn emuntt emuntt emutnt emuttn emtunt emtutn emtnut emtntu emttnu emttun
emntut emnttu emnutt emnutt emntut emnttu emttnu emttun emtntu emtnut emtunt
emtutn etmunt etmutn etmnut etmntu etmtnu etmtun etumnt etumtn etunmt etuntm
etutnm etutmn etnumt etnutm etnmut etnmtu etntmu etntum ettunm ettumn ettnum
ettnmu ettmnu ettmun enmtut enmttu enmutt enmutt enmtut enmttu entmut entmtu
entumt entutm enttum enttmu enutmt enuttm enumtt enumtt enutmt enuttm enttum
enttmu entutm entumt entmut entmtu etmtnu etmtun etmntu etmnut etmunt etmutn
ettmnu ettmun ettnmu ettnum ettunm ettumn etntmu etntum etnmtu etnmut etnumt
etnutm etutnm etutmn etuntm etunmt etumnt etumtn numett numett numtet numtte
numtte numtet nuemtt nuemtt nuetmt nuettm nuettm nuetmt nutemt nutetm nutmet
nutmte nuttme nuttem nutetm nutemt nuttem nuttme nutmte nutmet nmuett nmuett
nmutet nmutte nmutte nmutet nmeutt nmeutt nmetut nmettu nmettu nmetut nmteut
nmtetu nmtuet nmtute nmttue nmtteu nmtetu nmteut nmtteu nmttue nmtute nmtuet
nemutt nemutt nemtut nemttu nemttu nemtut neumtt neumtt neutmt neuttm neuttm
neutmt netumt netutm netmut netmtu nettmu nettum netutm netumt nettum nettmu
netmtu netmut ntmeut ntmetu ntmuet ntmute ntmtue ntmteu ntemut ntemtu nteumt
nteutm ntetum ntetmu ntuemt ntuetm ntumet ntumte ntutme ntutem ntteum nttemu
nttuem nttume nttmue nttmeu ntmetu ntmeut ntmteu ntmtue ntmute ntmuet ntemtu
ntemut ntetmu ntetum nteutm nteumt nttemu ntteum nttmeu nttmue nttume nttuem
ntuetm ntuemt ntutem ntutme ntumte ntumet tument tumetn tumnet tumnte tumtne
tumten tuemnt tuemtn tuenmt tuentm tuetnm tuetmn tunemt tunetm tunmet tunmte
tuntme tuntem tutenm tutemn tutnem tutnme tutmne tutmen tmuent tmuetn tmunet
tmunte tmutne tmuten tmeunt tmeutn tmenut tmentu tmetnu tmetun tmneut tmnetu
tmnuet tmnute tmntue tmnteu tmtenu tmteun tmtneu tmtnue tmtune tmtuen temunt
temutn temnut temntu temtnu temtun teumnt teumtn teunmt teuntm teutnm teutmn
tenumt tenutm tenmut tenmtu tentmu tentum tetunm tetumn tetnum tetnmu tetmnu
tetmun tnmeut tnmetu tnmuet tnmute tnmtue tnmteu tnemut tnemtu tneumt tneutm
tnetum tnetmu tnuemt tnuetm tnumet tnumte tnutme tnutem tnteum tntemu tntuem
tntume tntmue tntmeu ttmenu ttmeun ttmneu ttmnue ttmune ttmuen ttemnu ttemun
ttenmu ttenum tteunm tteumn ttnemu ttneum ttnmeu ttnmue ttnume ttnuem ttuenm
ttuemn ttunem ttunme ttumne ttumen

Read more ...[1] , [2] , [3]

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