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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: uiuere
cipher variations:
vjvfsf wkwgtg xlxhuh ymyivi znzjwj
aoakxk bpblyl cqcmzm drdnan eseobo
ftfpcp gugqdq hvhrer iwisfs jxjtgt
kykuhu lzlviv mamwjw nbnxkx ocoyly
pdpzmz qeqana rfrbob sgscpc thtdqd

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: uiuere
Cipher: frfviv

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: uiuere
Cipher: BAABB ABAAA BAABB AABAA BAAAA AABAA

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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: uiuere
cipher variations:
vjvfsfjzjnanxpxvivlfldqdzvzlylnlntgtprpjwjdhdrer
rxrzmzfnfhuhtdtpcphthxkxwkwgtgkakoboyqywjwmgmere
awamzmomouhuqsqkxkeiesfssysanagogiviueuqdqiuiyly
xlxhuhlblpcpzrzxkxnhnfsfbxbnanpnpvivrtrlylfjftgt
tztbobhphjwjvfvrerjvjzmzymyivimcmqdqasaylyoiogtg
cycoboqoqwjwsusmzmgkguhuuaucpciqikxkwgwsfskwkana
znzjwjndnrerbtbzmzpjphuhdzdpcprprxkxtvtnanhlhviv
vbvdqdjrjlylxhxtgtlxlbobaoakxkoeosfscucanaqkqivi
eaeqdqsqsylyuwuoboimiwjwwcwerekskmzmyiyuhumymcpc
bpblylpfptgtdvdbobrlrjwjfbfrertrtzmzvxvpcpjnjxkx
xdxfsfltlnanzjzvivnzndqdcqcmzmqgquhuewecpcsmskxk
gcgsfsusuanawywqdqkokylyyeygtgmumoboakawjwoaoere
drdnanrhrvivfxfdqdtntlylhdhtgtvtvbobxzxrerlplzmz
zfzhuhnvnpcpblbxkxpbpfsfeseobosiswjwgygereuoumzm
ieiuhuwuwcpcyaysfsmqmanaagaiviowoqdqcmcylyqcqgtg
ftfpcptjtxkxhzhfsfvpvnanjfjvivxvxdqdzbztgtnrnbob
bhbjwjpxprerdndzmzrdrhuhgugqdqukuylyiaigtgwqwobo
kgkwjwywyereacauhuosocpccickxkqyqsfseoeanasesivi
hvhrervlvzmzjbjhuhxrxpcplhlxkxzxzfsfbdbvivptpdqd
djdlylrzrtgtfpfbobtftjwjiwisfswmwanakckiviysyqdq
mimylyayagtgcecwjwquqereekemzmsasuhugqgcpcugukxk
jxjtgtxnxbobldljwjztzrernjnzmzbzbhuhdfdxkxrvrfsf
flfnantbtvivhrhdqdvhvlylkykuhuyoycpcmemkxkauasfs
okoanacaciviegeylyswsgtggmgoboucuwjwisierewiwmzm
lzlvivzpzdqdnfnlylbvbtgtplpbobdbdjwjfhfzmztxthuh
hnhpcpvdvxkxjtjfsfxjxnanmamwjwaqaereogomzmcwcuhu
qmqcpcecekxkgiganauyuiviioiqdqwewylykukgtgykyobo
nbnxkxbrbfsfphpnandxdvivrnrdqdfdflylhjhbobvzvjwj
jpjrerxfxzmzlvlhuhzlzpcpocoylycscgtgqiqoboeyewjw
soseregegmzmikicpcwawkxkkqksfsygyanamwmiviamaqdq
pdpzmzdtdhuhrjrpcpfzfxkxtptfsfhfhnanjljdqdxbxlyl
lrltgtzhzbobnxnjwjbnbrerqeqanaeueivisksqdqgagyly
uqugtgigiobokmkereycymzmmsmuhuaiacpcoyokxkcocsfs
rfrbobfvfjwjtltrerhbhzmzvrvhuhjhjpcplnlfsfzdznan
ntnvivbjbdqdpzplyldpdtgtsgscpcgwgkxkumusfsiciana
wswivikikqdqmomgtgaeaoboouowjwckcereqaqmzmeqeuhu
thtdqdhxhlylvnvtgtjdjbobxtxjwjljlrernpnhuhbfbpcp
pvpxkxdldfsfrbrnanfrfvivuiuereiyimzmwowuhukekcpc
yuykxkmkmsfsoqoivicgcqdqqwqylyemegtgscsobogsgwjw

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,

Read more ...

 

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: uiuere
Cipher: hvhrer

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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: uiuere
Cipher: 544254512451

Extended Methods:
Method #1

Plaintext: uiuere
method variations:
zozkwketepbpkykugupdpzmz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
u i u e r e 
5 4 5 5 2 5 
4 2 4 1 4 1 
They are then read out in rows:
545525424141
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: uiuere
Cipher: uzwidd

Read more ...
Method #3

Plaintext: uiuere
method variations:
twyfyv wyfyvt yfyvtw
fyvtwy yvtwyf vtwyfy

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: uiuere

all 720 cipher variations:
uiuere uiueer uiuree uiuree uiuere uiueer uieure uieuer uierue uiereu uieeru
uieeur uireue uireeu uiruee uiruee uireue uireeu uieeru uieeur uiereu uierue
uieure uieuer uuiere uuieer uuiree uuiree uuiere uuieer uueire uueier uuerie
uuerei uueeri uueeir uureie uureei uuriee uuriee uureie uureei uueeri uueeir
uuerei uuerie uueire uueier ueuire ueuier ueurie ueurei ueueri ueueir ueiure
ueiuer ueirue ueireu ueieru ueieur ueriue uerieu ueruie ueruei uereui uereiu
ueeiru ueeiur ueeriu ueerui ueeuri ueeuir urueie urueei uruiee uruiee urueie
urueei ureuie ureuei ureiue ureieu ureeiu ureeui urieue urieeu uriuee uriuee
urieue urieeu ureeiu ureeui ureieu ureiue ureuie ureuei ueueri ueueir ueurei
ueurie ueuire ueuier ueeuri ueeuir ueerui ueeriu ueeiru ueeiur uereui uereiu
ueruei ueruie ueriue uerieu ueieru ueieur ueireu ueirue ueiure ueiuer iuuere
iuueer iuuree iuuree iuuere iuueer iueure iueuer iuerue iuereu iueeru iueeur
iureue iureeu iuruee iuruee iureue iureeu iueeru iueeur iuereu iuerue iueure
iueuer iuuere iuueer iuuree iuuree iuuere iuueer iueure iueuer iuerue iuereu
iueeru iueeur iureue iureeu iuruee iuruee iureue iureeu iueeru iueeur iuereu
iuerue iueure iueuer ieuure ieuuer ieurue ieureu ieueru ieueur ieuure ieuuer
ieurue ieureu ieueru ieueur ieruue ierueu ieruue ierueu iereuu iereuu ieeuru
ieeuur ieeruu ieeruu ieeuru ieeuur irueue irueeu iruuee iruuee irueue irueeu
ireuue ireueu ireuue ireueu ireeuu ireeuu irueue irueeu iruuee iruuee irueue
irueeu ireeuu ireeuu ireueu ireuue ireuue ireueu ieueru ieueur ieureu ieurue
ieuure ieuuer ieeuru ieeuur ieeruu ieeruu ieeuru ieeuur iereuu iereuu ierueu
ieruue ieruue ierueu ieueru ieueur ieureu ieurue ieuure ieuuer uiuere uiueer
uiuree uiuree uiuere uiueer uieure uieuer uierue uiereu uieeru uieeur uireue
uireeu uiruee uiruee uireue uireeu uieeru uieeur uiereu uierue uieure uieuer
uuiere uuieer uuiree uuiree uuiere uuieer uueire uueier uuerie uuerei uueeri
uueeir uureie uureei uuriee uuriee uureie uureei uueeri uueeir uuerei uuerie
uueire uueier ueuire ueuier ueurie ueurei ueueri ueueir ueiure ueiuer ueirue
ueireu ueieru ueieur ueriue uerieu ueruie ueruei uereui uereiu ueeiru ueeiur
ueeriu ueerui ueeuri ueeuir urueie urueei uruiee uruiee urueie urueei ureuie
ureuei ureiue ureieu ureeiu ureeui urieue urieeu uriuee uriuee urieue urieeu
ureeiu ureeui ureieu ureiue ureuie ureuei ueueri ueueir ueurei ueurie ueuire
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ueriue uerieu ueieru ueieur ueireu ueirue ueiure ueiuer eiuure eiuuer eiurue
eiureu eiueru eiueur eiuure eiuuer eiurue eiureu eiueru eiueur eiruue eirueu
eiruue eirueu eireuu eireuu eieuru eieuur eieruu eieruu eieuru eieuur euiure
euiuer euirue euireu euieru euieur euuire euuier euurie euurei euueri euueir
euruie euruei euriue eurieu eureiu eureui eueuri eueuir euerui eueriu eueiru
eueiur euuire euuier euurie euurei euueri euueir euiure euiuer euirue euireu
euieru euieur euriue eurieu euruie euruei eureui eureiu eueiru eueiur eueriu
euerui eueuri eueuir eruuie eruuei eruiue eruieu erueiu erueui eruuie eruuei
eruiue eruieu erueiu erueui eriuue eriueu eriuue eriueu erieuu erieuu ereuiu
ereuui ereiuu ereiuu ereuiu ereuui eeuuri eeuuir eeurui eeuriu eeuiru eeuiur
eeuuri eeuuir eeurui eeuriu eeuiru eeuiur eeruui eeruiu eeruui eeruiu eeriuu
eeriuu eeiuru eeiuur eeiruu eeiruu eeiuru eeiuur riueue riueeu riuuee riuuee
riueue riueeu rieuue rieueu rieuue rieueu rieeuu rieeuu riueue riueeu riuuee
riuuee riueue riueeu rieeuu rieeuu rieueu rieuue rieuue rieueu ruieue ruieeu
ruiuee ruiuee ruieue ruieeu rueiue rueieu rueuie rueuei rueeui rueeiu ruueie
ruueei ruuiee ruuiee ruueie ruueei rueeui rueeiu rueuei rueuie rueiue rueieu
reuiue reuieu reuuie reuuei reueui reueiu reiuue reiueu reiuue reiueu reieuu
reieuu reuiue reuieu reuuie reuuei reueui reueiu reeiuu reeiuu reeuiu reeuui
reeuui reeuiu ruueie ruueei ruuiee ruuiee ruueie ruueei rueuie rueuei rueiue
rueieu rueeiu rueeui ruieue ruieeu ruiuee ruiuee ruieue ruieeu rueeiu rueeui
rueieu rueiue rueuie rueuei reueui reueiu reuuei reuuie reuiue reuieu reeuui
reeuiu reeuui reeuiu reeiuu reeiuu reueui reueiu reuuei reuuie reuiue reuieu
reieuu reieuu reiueu reiuue reiuue reiueu eiueru eiueur eiureu eiurue eiuure
eiuuer eieuru eieuur eieruu eieruu eieuru eieuur eireuu eireuu eirueu eiruue
eiruue eirueu eiueru eiueur eiureu eiurue eiuure eiuuer euieru euieur euireu
euirue euiure euiuer eueiru eueiur eueriu euerui eueuri eueuir eureiu eureui
eurieu euriue euruie euruei euueri euueir euurei euurie euuire euuier eeuiru
eeuiur eeuriu eeurui eeuuri eeuuir eeiuru eeiuur eeiruu eeiruu eeiuru eeiuur
eeriuu eeriuu eeruiu eeruui eeruui eeruiu eeuiru eeuiur eeuriu eeurui eeuuri
eeuuir erueiu erueui eruieu eruiue eruuie eruuei ereuiu ereuui ereiuu ereiuu
ereuiu ereuui erieuu erieuu eriueu eriuue eriuue eriueu erueiu erueui eruieu
eruiue eruuie eruuei euueri euueir euurei euurie euuire euuier eueuri eueuir
euerui eueriu eueiru eueiur eureui eureiu euruei euruie euriue eurieu euieru
euieur euireu euirue euiure euiuer

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

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