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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: tanney
cipher variations:
uboofz vcppga wdqqhb xerric yfssjd
zgttke ahuulf bivvmg cjwwnh dkxxoi
elyypj fmzzqk gnaarl hobbsm ipcctn
jqdduo kreevp lsffwq mtggxr nuhhys
oviizt pwjjau qxkkbv ryllcw szmmdx

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: tanney
Cipher: gzmmvb

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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: tanney
Cipher: BAABA AAAAA ABBAA ABBAA AABAA BABBA

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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: tanney
cipher variations:
uboofzgboonvsboovreboodnqbooljcbootfaboojxmboort
yboozpkboohlwboophibooxdvcppgahcppowtcppwsfcppeo
rcppmkdcppugbcppkyncppsuzcppaqlcppimxcppqijcppye
wdqqhbidqqpxudqqxtgdqqfpsdqqnledqqvhcdqqlzodqqtv
adqqbrmdqqjnydqqrjkdqqzfxerricjerrqyverryuherrgq
terromferrwiderrmaperruwberrcsnerrkozerrsklerrag
yfssjdkfssrzwfsszvifsshrufsspngfssxjefssnbqfssvx
cfssdtofsslpafsstlmfssbhzgttkelgttsaxgttawjgttis
vgttqohgttykfgttocrgttwydgtteupgttmqbgttumngttci
ahuulfmhuutbyhuubxkhuujtwhuurpihuuzlghuupdshuuxz
ehuufvqhuunrchuuvnohuudjbivvmgnivvuczivvcylivvku
xivvsqjivvamhivvqetivvyafivvgwrivvosdivvwopivvek
cjwwnhojwwvdajwwdzmjwwlvyjwwtrkjwwbnijwwrfujwwzb
gjwwhxsjwwptejwwxpqjwwfldkxxoipkxxwebkxxeankxxmw
zkxxuslkxxcojkxxsgvkxxachkxxiytkxxqufkxxyqrkxxgm
elyypjqlyyxfclyyfbolyynxalyyvtmlyydpklyythwlyybd
ilyyjzulyyrvglyyzrslyyhnfmzzqkrmzzygdmzzgcpmzzoy
bmzzwunmzzeqlmzzuixmzzcejmzzkavmzzswhmzzastmzzio
gnaarlsnaazhenaahdqnaapzcnaaxvonaafrmnaavjynaadf
knaalbwnaatxinaabtunaajphobbsmtobbaifobbierobbqa
dobbywpobbgsnobbwkzobbeglobbmcxobbuyjobbcuvobbkq
ipcctnupccbjgpccjfspccrbepcczxqpcchtopccxlapccfh
mpccndypccvzkpccdvwpcclrjqdduovqddckhqddkgtqddsc
fqddayrqddiupqddymbqddginqddoezqddwalqddewxqddms
kreevpwreedlireelhureetdgreebzsreejvqreezncreehj
oreepfareexbmreefxyreentlsffwqxsffemjsffmivsffue
hsffcatsffkwrsffaodsffikpsffqgbsffycnsffgyzsffou
mtggxrytggfnktggnjwtggvfitggdbutgglxstggbpetggjl
qtggrhctggzdotgghzatggpvnuhhyszuhhgoluhhokxuhhwg
juhhecvuhhmytuhhcqfuhhkmruhhsiduhhaepuhhiabuhhqw
oviiztaviihpmviiplyviixhkviifdwviinzuviidrgviiln
sviitjeviibfqviijbcviirxpwjjaubwjjiqnwjjqmzwjjyi
lwjjgexwjjoavwjjeshwjjmotwjjukfwjjcgrwjjkcdwjjsy
qxkkbvcxkkjroxkkrnaxkkzjmxkkhfyxkkpbwxkkftixkknp
uxkkvlgxkkdhsxkkldexkktzryllcwdyllkspyllsobyllak
nylligzyllqcxyllgujylloqvyllwmhylleityllmefyllua
szmmdxezmmltqzmmtpczmmblozmmjhazmmrdyzmmhvkzmmpr
wzmmxnizmmfjuzmmnfgzmmvbtanneyfannmurannuqdanncm
pannkibannsezanniwlannqsxannyojanngkvannoghannwc

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: tanney
Cipher: gnaarl

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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: tanney
Cipher: 441133335145

Extended Methods:
Method #1

Plaintext: tanney
method variations:
yfsskddlxxpiiqccuoovhhzt

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
t a n n e y 
4 1 3 3 5 4 
4 1 3 3 1 5 
They are then read out in rows:
413354413315
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: tanney
Cipher: dnudnv

Read more ...
Method #3

Plaintext: tanney
method variations:
dlnxqu lnxqud nxqudl
xqudln qudlnx udlnxq

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: tanney

all 720 cipher variations:
tanney tannye taneny taneyn tanyen tanyne tanney tannye taneny taneyn tanyen
tanyne taenny taenyn taenny taenyn taeynn taeynn taynen taynne tayenn tayenn
taynen taynne tnaney tnanye tnaeny tnaeyn tnayen tnayne tnnaey tnnaye tnneay
tnneya tnnyea tnnyae tnenay tnenya tneany tneayn tneyan tneyna tnynea tnynae
tnyena tnyean tnyaen tnyane tnnaey tnnaye tnneay tnneya tnnyea tnnyae tnaney
tnanye tnaeny tnaeyn tnayen tnayne tneany tneayn tnenay tnenya tneyna tneyan
tnyaen tnyane tnyean tnyena tnynea tnynae tennay tennya tenany tenayn tenyan
tenyna tennay tennya tenany tenayn tenyan tenyna teanny teanyn teanny teanyn
teaynn teaynn teynan teynna teyann teyann teynan teynna tynnea tynnae tynena
tynean tynaen tynane tynnea tynnae tynena tynean tynaen tynane tyenna tyenan
tyenna tyenan tyeann tyeann tyanen tyanne tyaenn tyaenn tyanen tyanne atnney
atnnye atneny atneyn atnyen atnyne atnney atnnye atneny atneyn atnyen atnyne
atenny atenyn atenny atenyn ateynn ateynn atynen atynne atyenn atyenn atynen
atynne antney antnye anteny anteyn antyen antyne anntey anntye annety anneyt
annyet annyte anenty anenyt anetny anetyn aneytn aneynt anynet anynte anyent
anyetn anyten anytne anntey anntye annety anneyt annyet annyte antney antnye
anteny anteyn antyen antyne anetny anetyn anenty anenyt aneynt aneytn anyten
anytne anyetn anyent anynet anynte aennty aennyt aentny aentyn aenytn aenynt
aennty aennyt aentny aentyn aenytn aenynt aetnny aetnyn aetnny aetnyn aetynn
aetynn aeyntn aeynnt aeytnn aeytnn aeyntn aeynnt aynnet aynnte aynent aynetn
aynten ayntne aynnet aynnte aynent aynetn aynten ayntne ayennt ayentn ayennt
ayentn ayetnn ayetnn aytnen aytnne aytenn aytenn aytnen aytnne natney natnye
nateny nateyn natyen natyne nantey nantye nanety naneyt nanyet nanyte naenty
naenyt naetny naetyn naeytn naeynt naynet naynte nayent nayetn nayten naytne
ntaney ntanye ntaeny ntaeyn ntayen ntayne ntnaey ntnaye ntneay ntneya ntnyea
ntnyae ntenay ntenya nteany nteayn nteyan nteyna ntynea ntynae ntyena ntyean
ntyaen ntyane nntaey nntaye nnteay nnteya nntyea nntyae nnatey nnatye nnaety
nnaeyt nnayet nnayte nneaty nneayt nnetay nnetya nneyta nneyat nnyaet nnyate
nnyeat nnyeta nnytea nnytae netnay netnya netany netayn netyan netyna nentay
nentya nenaty nenayt nenyat nenyta neanty neanyt neatny neatyn neaytn neaynt
neynat neynta neyant neyatn neytan neytna nytnea nytnae nytena nytean nytaen
nytane nyntea nyntae nyneta nyneat nynaet nynate nyenta nyenat nyetna nyetan
nyeatn nyeant nyanet nyante nyaent nyaetn nyaten nyatne nantey nantye nanety
naneyt nanyet nanyte natney natnye nateny nateyn natyen natyne naetny naetyn
naenty naenyt naeynt naeytn nayten naytne nayetn nayent naynet naynte nnatey
nnatye nnaety nnaeyt nnayet nnayte nntaey nntaye nnteay nnteya nntyea nntyae
nnetay nnetya nneaty nneayt nneyat nneyta nnytea nnytae nnyeta nnyeat nnyaet
nnyate ntnaey ntnaye ntneay ntneya ntnyea ntnyae ntaney ntanye ntaeny ntaeyn
ntayen ntayne nteany nteayn ntenay ntenya nteyna nteyan ntyaen ntyane ntyean
ntyena ntynea ntynae nentay nentya nenaty nenayt nenyat nenyta netnay netnya
netany netayn netyan netyna neatny neatyn neanty neanyt neaynt neaytn neytan
neytna neyatn neyant neynat neynta nyntea nyntae nyneta nyneat nynaet nynate
nytnea nytnae nytena nytean nytaen nytane nyetna nyetan nyenta nyenat nyeant
nyeatn nyaten nyatne nyaetn nyaent nyanet nyante eannty eannyt eantny eantyn
eanytn eanynt eannty eannyt eantny eantyn eanytn eanynt eatnny eatnyn eatnny
eatnyn eatynn eatynn eayntn eaynnt eaytnn eaytnn eayntn eaynnt enanty enanyt
enatny enatyn enaytn enaynt ennaty ennayt enntay enntya ennyta ennyat entnay
entnya entany entayn entyan entyna enynta enynat enytna enytan enyatn enyant
ennaty ennayt enntay enntya ennyta ennyat enanty enanyt enatny enatyn enaytn
enaynt entany entayn entnay entnya entyna entyan enyatn enyant enytan enytna
enynta enynat etnnay etnnya etnany etnayn etnyan etnyna etnnay etnnya etnany
etnayn etnyan etnyna etanny etanyn etanny etanyn etaynn etaynn etynan etynna
etyann etyann etynan etynna eynnta eynnat eyntna eyntan eynatn eynant eynnta
eynnat eyntna eyntan eynatn eynant eytnna eytnan eytnna eytnan eytann eytann
eyantn eyannt eyatnn eyatnn eyantn eyannt yannet yannte yanent yanetn yanten
yantne yannet yannte yanent yanetn yanten yantne yaennt yaentn yaennt yaentn
yaetnn yaetnn yatnen yatnne yatenn yatenn yatnen yatnne ynanet ynante ynaent
ynaetn ynaten ynatne ynnaet ynnate ynneat ynneta ynntea ynntae ynenat ynenta
yneant yneatn ynetan ynetna yntnea yntnae yntena yntean yntaen yntane ynnaet
ynnate ynneat ynneta ynntea ynntae ynanet ynante ynaent ynaetn ynaten ynatne
yneant yneatn ynenat ynenta ynetna ynetan yntaen yntane yntean yntena yntnea
yntnae yennat yennta yenant yenatn yentan yentna yennat yennta yenant yenatn
yentan yentna yeannt yeantn yeannt yeantn yeatnn yeatnn yetnan yetnna yetann
yetann yetnan yetnna ytnnea ytnnae ytnena ytnean ytnaen ytnane ytnnea ytnnae
ytnena ytnean ytnaen ytnane ytenna ytenan ytenna ytenan yteann yteann ytanen
ytanne ytaenn ytaenn ytanen ytanne

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