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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: melled
cipher variations:
nfmmfe ognngf phoohg qippih rjqqji
skrrkj tlsslk umttml vnuunm wovvon
xpwwpo yqxxqp zryyrq aszzsr btaats
cubbut dvccvu ewddwv fxeexw gyffyx
hzggzy iahhaz jbiiba kcjjcb ldkkdc

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.)
Read more ...
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: melled
Cipher: nvoovw

Read more ...

 

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: melled
Cipher: ABABB AABAA ABABA ABABA AABAA 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: melled
cipher variations:
nfmmfelniinkjveevqhdaadwflwwlcdtsstizjkkjuxrggra
vzcczgthyyhmrpuupspxqqxyognngfmojjolkwffwriebbex
gmxxmdeuttujakllkvyshhsbwaddahuizzinsqvvqtqyrryz
phoohgnpkkpmlxggxsjfccfyhnyynefvuuvkblmmlwztiitc
xbeebivjaajotrwwrurzsszaqippihoqllqnmyhhytkgddgz
iozzofgwvvwlcmnnmxaujjudycffcjwkbbkpusxxsvsattab
rjqqjiprmmronziizulheehajpaapghxwwxmdnoonybvkkve
zdggdkxlcclqvtyytwtbuubcskrrkjqsnnspoajjavmiffib
kqbbqhiyxxyneoppozcwllwfaehhelymddmrwuzzuxucvvcd
tlsslkrtootqpbkkbwnjggjclrccrijzyyzofpqqpadxmmxg
bfiifmzneensxvaavyvdwwdeumttmlsuppurqcllcxokhhkd
msddsjkazzapgqrrqbeynnyhcgjjgnaoffotywbbwzwexxef
vnuunmtvqqvsrdmmdypliilenteetklbaabqhrssrcfzoozi
dhkkhobpggpuzxccxaxfyyfgwovvonuwrrwtsennezqmjjmf
ouffulmcbbcristtsdgappajeillipcqhhqvayddybygzzgh
xpwwpovxssxutfoofarnkkngpvggvmndccdsjtuutehbqqbk
fjmmjqdriirwbzeezczhaahiyqxxqpwyttyvugppgbsolloh
qwhhwnoeddetkuvvuficrrclgknnkresjjsxcaffadaibbij
zryyrqxzuuzwvhqqhctpmmpirxiixopfeefulvwwvgjdssdm
hloolsftkktydbggbebjccjkaszzsryavvaxwirriduqnnqj
syjjypqgffgvmwxxwhkettenimppmtgulluzechhcfckddkl
btaatszbwwbyxjssjevroorktzkkzqrhgghwnxyyxilfuufo
jnqqnuhvmmvafdiidgdleelmcubbutacxxczykttkfwsppsl
uallarsihhixoyzzyjmgvvgpkorroviwnnwbgejjehemffmn
dvccvubdyydazluulgxtqqtmvbmmbstjiijypzaazknhwwhq
lpsspwjxooxchfkkfifnggnoewddwvcezzebamvvmhyurrun
wcnnctukjjkzqabbaloixxirmqttqxkyppydigllgjgohhop
fxeexwdfaafcbnwwnizvssvoxdooduvlkklarbccbmpjyyjs
nruurylzqqzejhmmhkhpiipqgyffyxegbbgdcoxxojawttwp
yeppevwmllmbscddcnqkzzktosvvszmarrafkinniliqjjqr
hzggzyfhcchedpyypkbxuuxqzfqqfwxnmmnctdeedorlaalu
ptwwtanbssbgljoojmjrkkrsiahhazgiddifeqzzqlcyvvyr
agrrgxyonnodueffepsmbbmvquxxubocttchmkppknksllst
jbiibahjeejgfraarmdzwwzsbhsshyzpoopevfggfqtnccnw
rvyyvcpduudinlqqloltmmtukcjjcbikffkhgsbbsneaxxat
cittizaqppqfwghhgruoddoxswzzwdqevvejomrrmpmunnuv
ldkkdcjlgglihtcctofbyybudjuujabrqqrgxhiihsvpeepy
txaaxerfwwfkpnssnqnvoovwmelledkmhhmjiuddupgczzcv
ekvvkbcsrrshyijjitwqffqzuybbyfsgxxglqottorowppwx

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: melled
Cipher: zryyrq

Read more ...

 

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: melled
Cipher: 235113135141

Extended Methods:
Method #1

Plaintext: melled
method variations:
rkqqkiwpvvpobuaautgzffzy

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m e l l e d 
2 5 1 1 5 4 
3 1 3 3 1 1 
They are then read out in rows:
251154313311
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: melled
Cipher: waucna

Read more ...
Method #3

Plaintext: melled
method variations:
xacxqf acxqfx cxqfxa
xqfxac qfxacx fxacxq

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: melled

all 720 cipher variations:
melled mellde meleld meledl meldel meldle melled mellde meleld meledl meldel
meldle meelld meeldl meelld meeldl meedll meedll medlel medlle medell medell
medlel medlle mleled mlelde mleeld mleedl mledel mledle mlleed mllede mlleed
mllede mlldee mlldee mleled mlelde mleeld mleedl mledel mledle mldlee mldlee
mldele mldeel mldeel mldele mlleed mllede mlleed mllede mlldee mlldee mleled
mlelde mleeld mleedl mledel mledle mleeld mleedl mleled mlelde mledle mledel
mldeel mldele mldeel mldele mldlee mldlee melled mellde meleld meledl meldel
meldle melled mellde meleld meledl meldel meldle meelld meeldl meelld meeldl
meedll meedll medlel medlle medell medell medlel medlle mdllee mdllee mdlele
mdleel mdleel mdlele mdllee mdllee mdlele mdleel mdleel mdlele mdelle mdelel
mdelle mdelel mdeell mdeell mdelel mdelle mdeell mdeell mdelel mdelle emlled
emllde emleld emledl emldel emldle emlled emllde emleld emledl emldel emldle
emelld emeldl emelld emeldl emedll emedll emdlel emdlle emdell emdell emdlel
emdlle elmled elmlde elmeld elmedl elmdel elmdle ellmed ellmde ellemd elledm
elldem elldme elelmd eleldm elemld elemdl eledml eledlm eldlem eldlme eldelm
eldeml eldmel eldmle ellmed ellmde ellemd elledm elldem elldme elmled elmlde
elmeld elmedl elmdel elmdle elemld elemdl elelmd eleldm eledlm eledml eldmel
eldmle eldeml eldelm eldlem eldlme eellmd eelldm eelmld eelmdl eeldml eeldlm
eellmd eelldm eelmld eelmdl eeldml eeldlm eemlld eemldl eemlld eemldl eemdll
eemdll eedlml eedllm eedmll eedmll eedlml eedllm edllem edllme edlelm edleml
edlmel edlmle edllem edllme edlelm edleml edlmel edlmle edellm edelml edellm
edelml edemll edemll edmlel edmlle edmell edmell edmlel edmlle lemled lemlde
lemeld lemedl lemdel lemdle lelmed lelmde lelemd leledm leldem leldme leelmd
leeldm leemld leemdl leedml leedlm ledlem ledlme ledelm ledeml ledmel ledmle
lmeled lmelde lmeeld lmeedl lmedel lmedle lmleed lmlede lmleed lmlede lmldee
lmldee lmeled lmelde lmeeld lmeedl lmedel lmedle lmdlee lmdlee lmdele lmdeel
lmdeel lmdele llmeed llmede llmeed llmede llmdee llmdee llemed llemde lleemd
lleedm lledem lledme lleemd lleedm llemed llemde lledme lledem lldeem lldeme
lldeem lldeme lldmee lldmee lemled lemlde lemeld lemedl lemdel lemdle lelmed
lelmde lelemd leledm leldem leldme leelmd leeldm leemld leemdl leedml leedlm
ledlem ledlme ledelm ledeml ledmel ledmle ldmlee ldmlee ldmele ldmeel ldmeel
ldmele ldlmee ldlmee ldleme ldleem ldleem ldleme ldelme ldelem ldemle ldemel
ldeeml ldeelm ldelem ldelme ldeelm ldeeml ldemel ldemle lelmed lelmde lelemd
leledm leldem leldme lemled lemlde lemeld lemedl lemdel lemdle leemld leemdl
leelmd leeldm leedlm leedml ledmel ledmle ledeml ledelm ledlem ledlme llemed
llemde lleemd lleedm lledem lledme llmeed llmede llmeed llmede llmdee llmdee
llemed llemde lleemd lleedm lledem lledme lldmee lldmee lldeme lldeem lldeem
lldeme lmleed lmlede lmleed lmlede lmldee lmldee lmeled lmelde lmeeld lmeedl
lmedel lmedle lmeeld lmeedl lmeled lmelde lmedle lmedel lmdeel lmdele lmdeel
lmdele lmdlee lmdlee lelmed lelmde lelemd leledm leldem leldme lemled lemlde
lemeld lemedl lemdel lemdle leemld leemdl leelmd leeldm leedlm leedml ledmel
ledmle ledeml ledelm ledlem ledlme ldlmee ldlmee ldleme ldleem ldleem ldleme
ldmlee ldmlee ldmele ldmeel ldmeel ldmele ldemle ldemel ldelme ldelem ldeelm
ldeeml ldemel ldemle ldeeml ldeelm ldelem ldelme eellmd eelldm eelmld eelmdl
eeldml eeldlm eellmd eelldm eelmld eelmdl eeldml eeldlm eemlld eemldl eemlld
eemldl eemdll eemdll eedlml eedllm eedmll eedmll eedlml eedllm elelmd eleldm
elemld elemdl eledml eledlm ellemd elledm ellmed ellmde elldme elldem elmled
elmlde elmeld elmedl elmdel elmdle eldlme eldlem eldmle eldmel eldeml eldelm
ellemd elledm ellmed ellmde elldme elldem elelmd eleldm elemld elemdl eledml
eledlm elmeld elmedl elmled elmlde elmdle elmdel eldeml eldelm eldmel eldmle
eldlme eldlem emlled emllde emleld emledl emldel emldle emlled emllde emleld
emledl emldel emldle emelld emeldl emelld emeldl emedll emedll emdlel emdlle
emdell emdell emdlel emdlle edllme edllem edlmle edlmel edleml edlelm edllme
edllem edlmle edlmel edleml edlelm edmlle edmlel edmlle edmlel edmell edmell
edelml edellm edemll edemll edelml edellm dellem dellme delelm deleml delmel
delmle dellem dellme delelm deleml delmel delmle deellm deelml deellm deelml
deemll deemll demlel demlle demell demell demlel demlle dlelem dlelme dleelm
dleeml dlemel dlemle dlleem dlleme dlleem dlleme dllmee dllmee dlelem dlelme
dleelm dleeml dlemel dlemle dlmlee dlmlee dlmele dlmeel dlmeel dlmele dlleem
dlleme dlleem dlleme dllmee dllmee dlelem dlelme dleelm dleeml dlemel dlemle
dleelm dleeml dlelem dlelme dlemle dlemel dlmeel dlmele dlmeel dlmele dlmlee
dlmlee dellem dellme delelm deleml delmel delmle dellem dellme delelm deleml
delmel delmle deellm deelml deellm deelml deemll deemll demlel demlle demell
demell demlel demlle dmllee dmllee dmlele dmleel dmleel dmlele dmllee dmllee
dmlele dmleel dmleel dmlele dmelle dmelel dmelle dmelel dmeell dmeell dmelel
dmelle dmeell dmeell dmelel dmelle

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