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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: arable
cipher variations:
bsbcmf ctcdng dudeoh evefpi fwfgqj
gxghrk hyhisl izijtm jajkun kbklvo
lclmwp mdmnxq nenoyr ofopzs pgpqat
qhqrbu rirscv sjstdw tktuex uluvfy
vmvwgz wnwxha xoxyib ypyzjc zqzakd

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: arable
Cipher: zizyov

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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: arable
Cipher: AAAAA BAAAA AAAAA AAAAB ABABA 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: arable
cipher variations:
bsbcmfbabeinbibgevbqbiadbybkwlbgbmstbwbqkjbebsgr
bmbuczbubwyhbcbyupbkbaqxctcdngcbcfjocjchfwcrcjbe
czclxmchcntucxcrlkcfcthscncvdacvcxzicdczvqclcbry
dudeohdcdgkpdkdigxdsdkcfdadmyndidouvdydsmldgduit
dodwebdwdyajdedawrdmdcszevefpiedehlqelejhyeteldg
ebenzoejepvwezetnmehevjuepexfcexezbkefebxsenedta
fwfgqjfefimrfmfkizfufmehfcfoapfkfqwxfafuonfifwkv
fqfygdfyfaclfgfcytfofeubgxghrkgfgjnsgngljagvgnfi
gdgpbqglgrxygbgvpogjgxlwgrgzhegzgbdmghgdzugpgfvc
hyhislhghkothohmkbhwhogjhehqcrhmhsyzhchwqphkhymx
hshaifhahcenhiheavhqhgwdizijtmihilpuipinlcixiphk
ifirdsinitzaidixrqiliznyitibjgibidfoijifbwirihxe
jajkunjijmqvjqjomdjyjqiljgjsetjojuabjejysrjmjaoz
jujckhjcjegpjkjgcxjsjiyfkbklvokjknrwkrkpnekzkrjm
khktfukpkvbckfkztsknkbpakvkdlikdkfhqklkhdyktkjzg
lclmwplklosxlslqoflalsknlilugvlqlwcdlglautlolcqb
lwlemjlelgirlmliezlulkahmdmnxqmlmptymtmrpgmbmtlo
mjmvhwmrmxdemhmbvumpmdrcmxmfnkmfmhjsmnmjfamvmlbi
nenoyrnmnquznunsqhncnumpnknwixnsnyefnincwvnqnesd
nyngolngniktnonkgbnwnmcjofopzsonorvaovotriodovnq
oloxjyotozfgojodxworofteozohpmohojluopolhcoxondk
pgpqatpopswbpwpusjpepworpmpykzpupaghpkpeyxpspguf
papiqnpipkmvpqpmidpypoelqhqrbuqpqtxcqxqvtkqfqxps
qnqzlaqvqbhiqlqfzyqtqhvgqbqjroqjqlnwqrqnjeqzqpfm
rirscvrqruydryrwulrgryqtrorambrwrcijrmrgazruriwh
rcrksprkrmoxrsrokfrarqgnsjstdwsrsvzeszsxvmshszru
spsbncsxsdjksnshbasvsjxisdsltqslsnpystsplgsbsrho
tktuextstwaftatywntitasvtqtcodtytekltoticbtwtkyj
tetmurtmtoqztutqmhtctsipuluvfyutuxbgubuzxoujubtw
urudpeuzuflmupujdcuxulzkufunvsunuprauvurniudutjq
vmvwgzvuvychvcvaypvkvcuxvsveqfvavgmnvqvkedvyvmal
vgvowtvovqsbvwvsojvevukrwnwxhawvwzdiwdwbzqwlwdvy
wtwfrgwbwhnowrwlfewzwnbmwhwpxuwpwrtcwxwtpkwfwvls
xoxyibxwxaejxexcarxmxewzxuxgshxcxiopxsxmgfxaxocn
xixqyvxqxsudxyxuqlxgxwmtypyzjcyxybfkyfydbsynyfxa
yvyhtiydyjpqytynhgybypdoyjyrzwyrytveyzyvrmyhyxnu
zqzakdzyzcglzgzectzozgybzwziujzezkqrzuzoihzczqep
zkzsaxzszuwfzazwsnzizyovarableazadhmahafduapahzc
axajvkafalrsavapjiadarfqalatbyatavxgabaxtoajazpw

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: arable
Cipher: nenoyr

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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: arable
Cipher: 112411211351

Extended Methods:
Method #1

Plaintext: arable
method variations:
fwfgqklblmvpqgqrauvmvwfz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a r a b l e 
1 2 1 2 1 5 
1 4 1 1 3 1 
They are then read out in rows:
121215141131
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: arable
Cipher: ffvqac

Read more ...
Method #3

Plaintext: arable
method variations:
fdfaxa dfaxaf faxafd
axafdf xafdfa afdfax

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: arable

all 720 cipher variations:
arable arabel aralbe araleb araelb araebl arbale arbael arblae arblea arbela
arbeal arlbae arlbea arlabe arlaeb arleab arleba arebla arebal arelba arelab
arealb areabl aarble aarbel aarlbe aarleb aarelb aarebl aabrle aabrel aablre
aabler aabelr aaberl aalbre aalber aalrbe aalreb aalerb aalebr aaeblr aaebrl
aaelbr aaelrb aaerlb aaerbl abarle abarel abalre abaler abaelr abaerl abrale
abrael abrlae abrlea abrela abreal ablrae ablrea ablare ablaer ablear ablera
aberla aberal abelra abelar abealr abearl alabre alaber alarbe alareb alaerb
alaebr albare albaer albrae albrea albera albear alrbae alrbea alrabe alraeb
alreab alreba alebra alebar alerba alerab alearb aleabr aeablr aeabrl aealbr
aealrb aearlb aearbl aebalr aebarl aeblar aeblra aebrla aebral aelbar aelbra
aelabr aelarb aelrab aelrba aerbla aerbal aerlba aerlab aeralb aerabl raable
raabel raalbe raaleb raaelb raaebl rabale rabael rablae rablea rabela rabeal
ralbae ralbea ralabe ralaeb raleab raleba raebla raebal raelba raelab raealb
raeabl raable raabel raalbe raaleb raaelb raaebl rabale rabael rablae rablea
rabela rabeal ralbae ralbea ralabe ralaeb raleab raleba raebla raebal raelba
raelab raealb raeabl rbaale rbaael rbalae rbalea rbaela rbaeal rbaale rbaael
rbalae rbalea rbaela rbaeal rblaae rblaea rblaae rblaea rbleaa rbleaa rbeala
rbeaal rbelaa rbelaa rbeala rbeaal rlabae rlabea rlaabe rlaaeb rlaeab rlaeba
rlbaae rlbaea rlbaae rlbaea rlbeaa rlbeaa rlabae rlabea rlaabe rlaaeb rlaeab
rlaeba rlebaa rlebaa rleaba rleaab rleaab rleaba reabla reabal realba realab
reaalb reaabl rebala rebaal reblaa reblaa rebala rebaal relbaa relbaa relaba
relaab relaab relaba reabla reabal realba realab reaalb reaabl arable arabel
aralbe araleb araelb araebl arbale arbael arblae arblea arbela arbeal arlbae
arlbea arlabe arlaeb arleab arleba arebla arebal arelba arelab arealb areabl
aarble aarbel aarlbe aarleb aarelb aarebl aabrle aabrel aablre aabler aabelr
aaberl aalbre aalber aalrbe aalreb aalerb aalebr aaeblr aaebrl aaelbr aaelrb
aaerlb aaerbl abarle abarel abalre abaler abaelr abaerl abrale abrael abrlae
abrlea abrela abreal ablrae ablrea ablare ablaer ablear ablera aberla aberal
abelra abelar abealr abearl alabre alaber alarbe alareb alaerb alaebr albare
albaer albrae albrea albera albear alrbae alrbea alrabe alraeb alreab alreba
alebra alebar alerba alerab alearb aleabr aeablr aeabrl aealbr aealrb aearlb
aearbl aebalr aebarl aeblar aeblra aebrla aebral aelbar aelbra aelabr aelarb
aelrab aelrba aerbla aerbal aerlba aerlab aeralb aerabl braale braael bralae
bralea braela braeal braale braael bralae bralea braela braeal brlaae brlaea
brlaae brlaea brleaa brleaa breala breaal brelaa brelaa breala breaal barale
barael barlae barlea barela bareal baarle baarel baalre baaler baaelr baaerl
balare balaer balrae balrea balera balear baealr baearl baelar baelra baerla
baeral baarle baarel baalre baaler baaelr baaerl barale barael barlae barlea
barela bareal balrae balrea balare balaer balear balera baerla baeral baelra
baelar baealr baearl blaare blaaer blarae blarea blaera blaear blaare blaaer
blarae blarea blaera blaear blraae blraea blraae blraea blreaa blreaa bleara
bleaar bleraa bleraa bleara bleaar beaalr beaarl bealar bealra bearla bearal
beaalr beaarl bealar bealra bearla bearal belaar belara belaar belara belraa
belraa berala beraal berlaa berlaa berala beraal lrabae lrabea lraabe lraaeb
lraeab lraeba lrbaae lrbaea lrbaae lrbaea lrbeaa lrbeaa lrabae lrabea lraabe
lraaeb lraeab lraeba lrebaa lrebaa lreaba lreaab lreaab lreaba larbae larbea
larabe laraeb lareab lareba labrae labrea labare labaer labear labera laabre
laaber laarbe laareb laaerb laaebr laebar laebra laeabr laearb laerab laerba
lbarae lbarea lbaare lbaaer lbaear lbaera lbraae lbraea lbraae lbraea lbreaa
lbreaa lbarae lbarea lbaare lbaaer lbaear lbaera lberaa lberaa lbeara lbeaar
lbeaar lbeara laabre laaber laarbe laareb laaerb laaebr labare labaer labrae
labrea labera labear larbae larbea larabe laraeb lareab lareba laebra laebar
laerba laerab laearb laeabr leabar leabra leaabr leaarb learab learba lebaar
lebara lebaar lebara lebraa lebraa leabar leabra leaabr leaarb learab learba
lerbaa lerbaa leraba leraab leraab leraba erabla erabal eralba eralab eraalb
eraabl erbala erbaal erblaa erblaa erbala erbaal erlbaa erlbaa erlaba erlaab
erlaab erlaba erabla erabal eralba eralab eraalb eraabl earbla earbal earlba
earlab earalb earabl eabrla eabral eablra eablar eabalr eabarl ealbra ealbar
ealrba ealrab ealarb ealabr eaablr eaabrl eaalbr eaalrb eaarlb eaarbl ebarla
ebaral ebalra ebalar ebaalr ebaarl ebrala ebraal ebrlaa ebrlaa ebrala ebraal
eblraa eblraa eblara eblaar eblaar eblara ebarla ebaral ebalra ebalar ebaalr
ebaarl elabra elabar elarba elarab elaarb elaabr elbara elbaar elbraa elbraa
elbara elbaar elrbaa elrbaa elraba elraab elraab elraba elabra elabar elarba
elarab elaarb elaabr eaablr eaabrl eaalbr eaalrb eaarlb eaarbl eabalr eabarl
eablar eablra eabrla eabral ealbar ealbra ealabr ealarb ealrab ealrba earbla
earbal earlba earlab earalb earabl

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