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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: infiel
cipher variations:
jogjfm kphkgn lqilho mrjmip nsknjq
otlokr pumpls qvnqmt rwornu sxpsov
tyqtpw uzruqx vasvry wbtwsz xcuxta
ydvyub zewzvc afxawd bgybxe chzcyf
diadzg ejbeah fkcfbi gldgcj hmehdk

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: infiel
Cipher: rmurvo

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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: infiel
Cipher: ABAAA ABBAA AABAB ABAAA AABAA ABABA

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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: infiel
cipher variations:
jogjfmzoqznipoapvefokfdavouvlwloeltsroyrjkhoihrg
xosxzcnocnhydomdputowtxqkphkgnapraojqpbqwfgplgeb
wpvwmxmpfmutspzsklipjishyptyadopdoizepneqvupxuyr
lqilhobqsbpkrqcrxghqmhfcxqwxnynqgnvutqatlmjqkjti
zquzbepqepjafqofrwvqyvzsmrjmipcrtcqlsrdsyhirnigd
yrxyozorhowvurbumnkrlkujarvacfqrfqkbgrpgsxwrzwat
nsknjqdsudrmtsetzijsojhezsyzpapsipxwvscvnolsmlvk
bswbdgrsgrlchsqhtyxsaxbuotlokretvesnutfuajktpkif
atzaqbqtjqyxwtdwopmtnmwlctxcehsthsmditriuzytbycv
pumplsfuwftovugvbkluqljgbuabrcrukrzyxuexpqnuonxm
duydfituitnejusjvazuczdwqvnqmtgvxgupwvhwclmvrmkh
cvbcsdsvlsazyvfyqrovpoynevzegjuvjuofkvtkwbavdaex
rwornuhwyhvqxwixdmnwsnlidwcdtetwmtbazwgzrspwqpzo
fwafhkvwkvpglwulxcbwebfysxpsovixziwryxjyenoxtomj
exdeufuxnucbaxhastqxrqapgxbgilwxlwqhmxvmydcxfcgz
tyqtpwjyajxszykzfopyupnkfyefvgvyovdcbyibturysrbq
hychjmxymxrinywnzedygdhauzruqxkzbkytazlagpqzvqol
gzfgwhwzpwedczjcuvsztscrizdiknyznysjozxoafezheib
vasvrylaclzubambhqrawrpmhaghxixaqxfedakdvwtautds
jaejlozaoztkpaypbgfaifjcwbtwszmbdmavcbncirsbxsqn
ibhiyjybrygfeblewxubvuetkbfkmpabpaulqbzqchgbjgkd
xcuxtancenbwdcodjstcytrojcijzkzcszhgfcmfxyvcwvfu
lcglnqbcqbvmrcardihckhleydvyubodfocxedpektudzusp
kdjkaladtaihgdngyzwdxwgvmdhmorcdrcwnsdbsejidlimf
zewzvcpegpdyfeqfluveavtqleklbmbeubjiheohzaxeyxhw
neinpsdesdxotectfkjemjngafxawdqfhqezgfrgmvwfbwur
mflmcncfvckjifpiabyfzyixofjoqtefteypufduglkfnkoh
bgybxergirfahgshnwxgcxvsngmndodgwdlkjgqjbczgazjy
pgkprufgufzqvgevhmlgolpichzcyfshjsgbihtioxyhdywt
ohnoepehxemlkhrkcdahbakzqhlqsvghvgarwhfwinmhpmqj
diadzgtikthcjiujpyziezxupiopfqfiyfnmlisldebicbla
rimrtwhiwhbsxigxjoniqnrkejbeahujluidkjvkqzajfayv
qjpqgrgjzgonmjtmefcjdcmbsjnsuxijxictyjhykpojrosl
fkcfbivkmvjelkwlrabkgbzwrkqrhshkahponkunfgdkednc
tkotvyjkyjduzkizlqpksptmgldgcjwlnwkfmlxmsbclhcax
slrsitilbiqpolvoghelfeodulpuwzklzkevaljamrqltqun
hmehdkxmoxlgnmyntcdmidbytmstjujmcjrqpmwphifmgfpe
vmqvxalmalfwbmkbnsrmurvoinfielynpymhonzoudenjecz
untukvkndksrqnxqijgnhgqfwnrwybmnbmgxcnlcotsnvswp

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: infiel
Cipher: vasvry

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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: infiel
Cipher: 423312425113

Extended Methods:
Method #1

Plaintext: infiel
method variations:
oslokqtxqtpvycvyuadhadzf

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
i n f i e l 
4 3 1 4 5 1 
2 3 2 2 1 3 
They are then read out in rows:
431451232213
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: infiel
Cipher: oqemgl

Read more ...
Method #3

Plaintext: infiel
method variations:
mcrwas crwasm rwasmc
wasmcr asmcrw smcrwa

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: infiel

all 720 cipher variations:
infiel infile infeil infeli inflei inflie inifel inifle iniefl inielf inilef
inilfe ineifl ineilf inefil inefli inelfi inelif inlief inlife inleif inlefi
inlfei inlfie ifniel ifnile ifneil ifneli ifnlei ifnlie ifinel ifinle ifienl
ifieln ifilen ifilne ifeinl ifeiln ifenil ifenli ifelni ifelin iflien ifline
iflein ifleni iflnei iflnie iifnel iifnle iifenl iifeln iiflen iiflne iinfel
iinfle iinefl iinelf iinlef iinlfe iienfl iienlf iiefnl iiefln iielfn iielnf
iilnef iilnfe iilenf iilefn iilfen iilfne iefinl iefiln iefnil iefnli ieflni
ieflin ieifnl ieifln ieinfl ieinlf ieilnf ieilfn ienifl ienilf ienfil ienfli
ienlfi ienlif ielinf ielifn ielnif ielnfi ielfni ielfin ilfien ilfine ilfein
ilfeni ilfnei ilfnie ilifen ilifne iliefn ilienf ilinef ilinfe ileifn ileinf
ilefin ilefni ilenfi ilenif ilnief ilnife ilneif ilnefi ilnfei ilnfie nifiel
nifile nifeil nifeli niflei niflie niifel niifle niiefl niielf niilef niilfe
nieifl nieilf niefil niefli nielfi nielif nilief nilife nileif nilefi nilfei
nilfie nfiiel nfiile nfieil nfieli nfilei nfilie nfiiel nfiile nfieil nfieli
nfilei nfilie nfeiil nfeili nfeiil nfeili nfelii nfelii nfliei nfliie nfleii
nfleii nfliei nfliie nifiel nifile nifeil nifeli niflei niflie niifel niifle
niiefl niielf niilef niilfe nieifl nieilf niefil niefli nielfi nielif nilief
nilife nileif nilefi nilfei nilfie nefiil nefili nefiil nefili neflii neflii
neifil neifli neiifl neiilf neilif neilfi neiifl neiilf neifil neifli neilfi
neilif neliif nelifi neliif nelifi nelfii nelfii nlfiei nlfiie nlfeii nlfeii
nlfiei nlfiie nlifei nlifie nliefi nlieif nliief nliife nleifi nleiif nlefii
nlefii nleifi nleiif nliief nliife nlieif nliefi nlifei nlifie fniiel fniile
fnieil fnieli fnilei fnilie fniiel fniile fnieil fnieli fnilei fnilie fneiil
fneili fneiil fneili fnelii fnelii fnliei fnliie fnleii fnleii fnliei fnliie
finiel finile fineil fineli finlei finlie fiinel fiinle fiienl fiieln fiilen
fiilne fieinl fieiln fienil fienli fielni fielin filien filine filein fileni
filnei filnie fiinel fiinle fiienl fiieln fiilen fiilne finiel finile fineil
fineli finlei finlie fienil fienli fieinl fieiln fielin fielni filnei filnie
fileni filein filien filine feiinl feiiln feinil feinli feilni feilin feiinl
feiiln feinil feinli feilni feilin feniil fenili feniil fenili fenlii fenlii
felini feliin felnii felnii felini feliin fliien fliine fliein flieni flinei
flinie fliien fliine fliein flieni flinei flinie fleiin fleini fleiin fleini
flenii flenii flniei flniie flneii flneii flniei flniie infiel infile infeil
infeli inflei inflie inifel inifle iniefl inielf inilef inilfe ineifl ineilf
inefil inefli inelfi inelif inlief inlife inleif inlefi inlfei inlfie ifniel
ifnile ifneil ifneli ifnlei ifnlie ifinel ifinle ifienl ifieln ifilen ifilne
ifeinl ifeiln ifenil ifenli ifelni ifelin iflien ifline iflein ifleni iflnei
iflnie iifnel iifnle iifenl iifeln iiflen iiflne iinfel iinfle iinefl iinelf
iinlef iinlfe iienfl iienlf iiefnl iiefln iielfn iielnf iilnef iilnfe iilenf
iilefn iilfen iilfne iefinl iefiln iefnil iefnli ieflni ieflin ieifnl ieifln
ieinfl ieinlf ieilnf ieilfn ienifl ienilf ienfil ienfli ienlfi ienlif ielinf
ielifn ielnif ielnfi ielfni ielfin ilfien ilfine ilfein ilfeni ilfnei ilfnie
ilifen ilifne iliefn ilienf ilinef ilinfe ileifn ileinf ilefin ilefni ilenfi
ilenif ilnief ilnife ilneif ilnefi ilnfei ilnfie enfiil enfili enfiil enfili
enflii enflii enifil enifli eniifl eniilf enilif enilfi eniifl eniilf enifil
enifli enilfi enilif enliif enlifi enliif enlifi enlfii enlfii efniil efnili
efniil efnili efnlii efnlii efinil efinli efiinl efiiln efilin efilni efiinl
efiiln efinil efinli efilni efilin efliin eflini efliin eflini eflnii eflnii
eifnil eifnli eifinl eifiln eiflin eiflni einfil einfli einifl einilf einlif
einlfi eiinfl eiinlf eiifnl eiifln eiilfn eiilnf eilnif eilnfi eilinf eilifn
eilfin eilfni eifinl eifiln eifnil eifnli eiflni eiflin eiifnl eiifln eiinfl
eiinlf eiilnf eiilfn einifl einilf einfil einfli einlfi einlif eilinf eilifn
eilnif eilnfi eilfni eilfin elfiin elfini elfiin elfini elfnii elfnii elifin
elifni eliifn eliinf elinif elinfi eliifn eliinf elifin elifni elinfi elinif
elniif elnifi elniif elnifi elnfii elnfii lnfiei lnfiie lnfeii lnfeii lnfiei
lnfiie lnifei lnifie lniefi lnieif lniief lniife lneifi lneiif lnefii lnefii
lneifi lneiif lniief lniife lnieif lniefi lnifei lnifie lfniei lfniie lfneii
lfneii lfniei lfniie lfinei lfinie lfieni lfiein lfiien lfiine lfeini lfeiin
lfenii lfenii lfeini lfeiin lfiien lfiine lfiein lfieni lfinei lfinie lifnei
lifnie lifeni lifein lifien lifine linfei linfie linefi lineif linief linife
lienfi lienif liefni liefin lieifn lieinf liinef liinfe liienf liiefn liifen
liifne lefini lefiin lefnii lefnii lefini lefiin leifni leifin leinfi leinif
leiinf leiifn lenifi leniif lenfii lenfii lenifi leniif leiinf leiifn leinif
leinfi leifni leifin lifien lifine lifein lifeni lifnei lifnie liifen liifne
liiefn liienf liinef liinfe lieifn lieinf liefin liefni lienfi lienif linief
linife lineif linefi linfei linfie

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