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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: diuisa
cipher variations:
ejvjtb fkwkuc glxlvd hmymwe inznxf
joaoyg kpbpzh lqcqai mrdrbj nsesck
otftdl puguem qvhvfn rwiwgo sxjxhp
tykyiq uzlzjr vamaks wbnblt xcocmu
ydpdnv zeqeow afrfpx bgsgqy chthrz

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: diuisa
Cipher: wrfrhz

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: diuisa
Cipher: AAABB ABAAA BAABB ABAAA BAAAB AAAAA

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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: diuisa
cipher variations:
ejvjtbkzjzdbqpxpnbwflfxbcvzvhbilnlrburprlbahdhvb
gxrxfbmnfnpbsdtdzbythtjbfkwkuclakaecrqyqocxgmgyc
dwawicjmomscvsqsmcbieiwchysygcnogoqcteueaczuiukc
glxlvdmblbfdsrzrpdyhnhzdexbxjdknpntdwtrtndcjfjxd
iztzhdophprdufvfbdavjvldhmymwencmcgetsasqezioiae
fycykeloqouexusuoedkgkyejauaiepqiqsevgwgcebwkwme
inznxfodndhfutbtrfajpjbfgzdzlfmprpvfyvtvpfelhlzf
kbvbjfqrjrtfwhxhdfcxlxnfjoaoygpeoeigvucusgbkqkcg
haeamgnqsqwgzwuwqgfmimaglcwckgrsksugxiyiegdymyog
kpbpzhqfpfjhwvdvthclrldhibfbnhortrxhaxvxrhgnjnbh
mdxdlhstltvhyjzjfheznzphlqcqairgqgkixwewuidmsmei
jcgcoipsusyibywysihokocineyemitumuwizkakgifaoaqi
mrdrbjshrhljyxfxvjentnfjkdhdpjqtvtzjczxztjiplpdj
ofzfnjuvnvxjalblhjgbpbrjnsescktisimkzygywkfouogk
leieqkruwuakdayaukjqmqekpgagokvwowykbmcmikhcqcsk
otftdlujtjnlazhzxlgpvphlmfjfrlsvxvblebzbvlkrnrfl
qhbhplwxpxzlcndnjlidrdtlpuguemvkukombaiaymhqwqim
ngkgsmtwywcmfcacwmlsosgmriciqmxyqyamdoeokmjeseum
qvhvfnwlvlpncbjbznirxrjnohlhtnuxzxdngdbdxnmtpthn
sjdjrnyzrzbnepfplnkftfvnrwiwgoxmwmqodckcaojsysko
pimiuovyayeoheceyonuquiotkeksozasacofqgqmolgugwo
sxjxhpynxnrpedldbpktztlpqjnjvpwzbzfpifdfzpovrvjp
ulfltpabtbdpgrhrnpmhvhxptykyiqzoyosqfemecqluaumq
rkokwqxacagqjgegaqpwswkqvmgmuqbcuceqhsisoqniwiyq
uzlzjrapzptrgfnfdrmvbvnrslplxrybdbhrkhfhbrqxtxlr
wnhnvrcdvdfritjtprojxjzrvamaksbqaqushgogesnwcwos
tmqmyszcecisligicsryuymsxoiowsdewegsjukuqspkykas
wbnbltcrbrvtihphftoxdxptunrnztadfdjtmjhjdtszvznt
ypjpxtefxfhtkvlvrtqlzlbtxcocmudscswujiqigupyeyqu
vosoaubegekunkikeutawaouzqkqyufgygiulwmwsurmamcu
ydpdnvetdtxvkjrjhvqzfzrvwptpbvcfhflvoljlfvubxbpv
arlrzvghzhjvmxnxtvsnbndvzeqeowfueuywlkskiwragasw
xquqcwdgigmwpmkmgwvcycqwbsmsawhiaikwnyoyuwtocoew
afrfpxgvfvzxmltljxsbhbtxyrvrdxehjhnxqnlnhxwdzdrx
ctntbxijbjlxozpzvxupdpfxbgsgqyhwgwaynmumkytcicuy
zswseyfikioyromoiyxeaesyduoucyjkckmypaqawyvqeqgy
chthrzixhxbzonvnlzudjdvzatxtfzgjljpzspnpjzyfbftz
evpvdzkldlnzqbrbxzwrfrhzdiuisajyiycapowomavekewa
buyugahkmkqatqoqkazgcguafwqwealmemoarcscyaxsgsia

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: diuisa
Cipher: qvhvfn

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: diuisa
Cipher: 414254423411

Extended Methods:
Method #1

Plaintext: diuisa
method variations:
iozoxfotetcltykyhqydpdnv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d i u i s a 
4 4 5 4 3 1 
1 2 4 2 4 1 
They are then read out in rows:
445431124241
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: diuisa
Cipher: tucfid

Read more ...
Method #3

Plaintext: diuisa
method variations:
qwtmdq wtmdqq tmdqqw
mdqqwt dqqwtm qqwtmd

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: diuisa

all 720 cipher variations:
diuisa diuias diusia diusai diuasi diuais diiusa diiuas diisua diisau diiasu
diiaus disiua disiau disuia disuai disaui disaiu diaisu diaius diasiu diasui
diausi diauis duiisa duiias duisia duisai duiasi duiais duiisa duiias duisia
duisai duiasi duiais dusiia dusiai dusiia dusiai dusaii dusaii duaisi duaiis
duasii duasii duaisi duaiis diuisa diuias diusia diusai diuasi diuais diiusa
diiuas diisua diisau diiasu diiaus disiua disiau disuia disuai disaui disaiu
diaisu diaius diasiu diasui diausi diauis dsuiia dsuiai dsuiia dsuiai dsuaii
dsuaii dsiuia dsiuai dsiiua dsiiau dsiaiu dsiaui dsiiua dsiiau dsiuia dsiuai
dsiaui dsiaiu dsaiiu dsaiui dsaiiu dsaiui dsauii dsauii dauisi dauiis dausii
dausii dauisi dauiis daiusi daiuis daisui daisiu daiisu daiius dasiui dasiiu
dasuii dasuii dasiui dasiiu daiisu daiius daisiu daisui daiusi daiuis iduisa
iduias idusia idusai iduasi iduais idiusa idiuas idisua idisau idiasu idiaus
idsiua idsiau idsuia idsuai idsaui idsaiu idaisu idaius idasiu idasui idausi
idauis iudisa iudias iudsia iudsai iudasi iudais iuidsa iuidas iuisda iuisad
iuiasd iuiads iusida iusiad iusdia iusdai iusadi iusaid iuaisd iuaids iuasid
iuasdi iuadsi iuadis iiudsa iiudas iiusda iiusad iiuasd iiuads iidusa iiduas
iidsua iidsau iidasu iidaus iisdua iisdau iisuda iisuad iisaud iisadu iiadsu
iiadus iiasdu iiasud iiausd iiauds isuida isuiad isudia isudai isuadi isuaid
isiuda isiuad isidua isidau isiadu isiaud isdiua isdiau isduia isduai isdaui
isdaiu isaidu isaiud isadiu isadui isaudi isauid iauisd iauids iausid iausdi
iaudsi iaudis iaiusd iaiuds iaisud iaisdu iaidsu iaidus iasiud iasidu iasuid
iasudi iasdui iasdiu iadisu iadius iadsiu iadsui iadusi iaduis uidisa uidias
uidsia uidsai uidasi uidais uiidsa uiidas uiisda uiisad uiiasd uiiads uisida
uisiad uisdia uisdai uisadi uisaid uiaisd uiaids uiasid uiasdi uiadsi uiadis
udiisa udiias udisia udisai udiasi udiais udiisa udiias udisia udisai udiasi
udiais udsiia udsiai udsiia udsiai udsaii udsaii udaisi udaiis udasii udasii
udaisi udaiis uidisa uidias uidsia uidsai uidasi uidais uiidsa uiidas uiisda
uiisad uiiasd uiiads uisida uisiad uisdia uisdai uisadi uisaid uiaisd uiaids
uiasid uiasdi uiadsi uiadis usdiia usdiai usdiia usdiai usdaii usdaii usidia
usidai usiida usiiad usiaid usiadi usiida usiiad usidia usidai usiadi usiaid
usaiid usaidi usaiid usaidi usadii usadii uadisi uadiis uadsii uadsii uadisi
uadiis uaidsi uaidis uaisdi uaisid uaiisd uaiids uasidi uasiid uasdii uasdii
uasidi uasiid uaiisd uaiids uaisid uaisdi uaidsi uaidis iiudsa iiudas iiusda
iiusad iiuasd iiuads iidusa iiduas iidsua iidsau iidasu iidaus iisdua iisdau
iisuda iisuad iisaud iisadu iiadsu iiadus iiasdu iiasud iiausd iiauds iuidsa
iuidas iuisda iuisad iuiasd iuiads iudisa iudias iudsia iudsai iudasi iudais
iusdia iusdai iusida iusiad iusaid iusadi iuadsi iuadis iuasdi iuasid iuaisd
iuaids iduisa iduias idusia idusai iduasi iduais idiusa idiuas idisua idisau
idiasu idiaus idsiua idsiau idsuia idsuai idsaui idsaiu idaisu idaius idasiu
idasui idausi idauis isudia isudai isuida isuiad isuaid isuadi isduia isduai
isdiua isdiau isdaiu isdaui isidua isidau isiuda isiuad isiaud isiadu isadiu
isadui isaidu isaiud isauid isaudi iaudsi iaudis iausdi iausid iauisd iauids
iadusi iaduis iadsui iadsiu iadisu iadius iasdui iasdiu iasudi iasuid iasiud
iasidu iaidsu iaidus iaisdu iaisud iaiusd iaiuds siuida siuiad siudia siudai
siuadi siuaid siiuda siiuad siidua siidau siiadu siiaud sidiua sidiau siduia
siduai sidaui sidaiu siaidu siaiud siadiu siadui siaudi siauid suiida suiiad
suidia suidai suiadi suiaid suiida suiiad suidia suidai suiadi suiaid sudiia
sudiai sudiia sudiai sudaii sudaii suaidi suaiid suadii suadii suaidi suaiid
siuida siuiad siudia siudai siuadi siuaid siiuda siiuad siidua siidau siiadu
siiaud sidiua sidiau siduia siduai sidaui sidaiu siaidu siaiud siadiu siadui
siaudi siauid sduiia sduiai sduiia sduiai sduaii sduaii sdiuia sdiuai sdiiua
sdiiau sdiaiu sdiaui sdiiua sdiiau sdiuia sdiuai sdiaui sdiaiu sdaiiu sdaiui
sdaiiu sdaiui sdauii sdauii sauidi sauiid saudii saudii sauidi sauiid saiudi
saiuid saidui saidiu saiidu saiiud sadiui sadiiu saduii saduii sadiui sadiiu
saiidu saiiud saidiu saidui saiudi saiuid aiuisd aiuids aiusid aiusdi aiudsi
aiudis aiiusd aiiuds aiisud aiisdu aiidsu aiidus aisiud aisidu aisuid aisudi
aisdui aisdiu aidisu aidius aidsiu aidsui aidusi aiduis auiisd auiids auisid
auisdi auidsi auidis auiisd auiids auisid auisdi auidsi auidis ausiid ausidi
ausiid ausidi ausdii ausdii audisi audiis audsii audsii audisi audiis aiuisd
aiuids aiusid aiusdi aiudsi aiudis aiiusd aiiuds aiisud aiisdu aiidsu aiidus
aisiud aisidu aisuid aisudi aisdui aisdiu aidisu aidius aidsiu aidsui aidusi
aiduis asuiid asuidi asuiid asuidi asudii asudii asiuid asiudi asiiud asiidu
asidiu asidui asiiud asiidu asiuid asiudi asidui asidiu asdiiu asdiui asdiiu
asdiui asduii asduii aduisi aduiis adusii adusii aduisi aduiis adiusi adiuis
adisui adisiu adiisu adiius adsiui adsiiu adsuii adsuii adsiui adsiiu adiisu
adiius adisiu adisui adiusi adiuis

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

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