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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: mensik
cipher variations:
nfotjl ogpukm phqvln qirwmo rjsxnp
sktyoq tluzpr umvaqs vnwbrt woxcsu
xpydtv yqzeuw zrafvx asbgwy btchxz
cudiya dvejzb ewfkac fxglbd gyhmce
hzindf iajoeg jbkpfh kclqgi ldmrhj

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: mensik
Cipher: nvmhrp

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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: mensik

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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: mensik
cipher variations:

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: mensik
Cipher: zrafvx

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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: mensik
Cipher: 235133344252

Extended Methods:
Method #1

Plaintext: mensik
method variations:

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

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Method #3

Plaintext: mensik
method variations:
xlntwg lntwgx ntwgxl
twgxln wgxlnt gxlntw

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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: mensik

all 720 cipher variations:
mensik menski menisk meniks menkis menksi mesnik mesnki mesink mesikn meskin
meskni meisnk meiskn meinsk meinks meikns meiksn meksin meksni mekisn mekins
meknis meknsi mnesik mneski mneisk mneiks mnekis mneksi mnseik mnseki mnsiek
mnsike mnskie mnskei mnisek mniske mniesk mnieks mnikes mnikse mnksie mnksei
mnkise mnkies mnkeis mnkesi msneik msneki msniek msnike msnkie msnkei msenik
msenki mseink mseikn msekin msekni msienk msiekn msinek msinke msikne msiken
mskein mskeni mskien mskine msknie msknei minsek minske minesk mineks minkes
minkse misnek misnke misenk misekn misken miskne miesnk mieskn miensk mienks
miekns mieksn miksen miksne mikesn mikens miknes miknse mknsie mknsei mknise
mknies mkneis mknesi mksnie mksnei mksine mksien mksein mkseni mkisne mkisen
mkinse mkines mkiens mkiesn mkesin mkesni mkeisn mkeins mkenis mkensi emnsik
emnski emnisk emniks emnkis emnksi emsnik emsnki emsink emsikn emskin emskni
emisnk emiskn eminsk eminks emikns emiksn emksin emksni emkisn emkins emknis
emknsi enmsik enmski enmisk enmiks enmkis enmksi ensmik ensmki ensimk ensikm
enskim enskmi enismk eniskm enimsk enimks enikms eniksm enksim enksmi enkism
enkims enkmis enkmsi esnmik esnmki esnimk esnikm esnkim esnkmi esmnik esmnki
esmink esmikn esmkin esmkni esimnk esimkn esinmk esinkm esiknm esikmn eskmin
eskmni eskimn eskinm esknim esknmi einsmk einskm einmsk einmks einkms einksm
eisnmk eisnkm eismnk eismkn eiskmn eisknm eimsnk eimskn eimnsk eimnks eimkns
eimksn eiksmn eiksnm eikmsn eikmns eiknms eiknsm eknsim eknsmi eknism eknims
eknmis eknmsi eksnim eksnmi eksinm eksimn eksmin eksmni ekisnm ekismn ekinsm
ekinms ekimns ekimsn ekmsin ekmsni ekmisn ekmins ekmnis ekmnsi nemsik nemski
nemisk nemiks nemkis nemksi nesmik nesmki nesimk nesikm neskim neskmi neismk
neiskm neimsk neimks neikms neiksm neksim neksmi nekism nekims nekmis nekmsi
nmesik nmeski nmeisk nmeiks nmekis nmeksi nmseik nmseki nmsiek nmsike nmskie
nmskei nmisek nmiske nmiesk nmieks nmikes nmikse nmksie nmksei nmkise nmkies
nmkeis nmkesi nsmeik nsmeki nsmiek nsmike nsmkie nsmkei nsemik nsemki nseimk
nseikm nsekim nsekmi nsiemk nsiekm nsimek nsimke nsikme nsikem nskeim nskemi
nskiem nskime nskmie nskmei nimsek nimske nimesk nimeks nimkes nimkse nismek
nismke nisemk nisekm niskem niskme niesmk nieskm niemsk niemks niekms nieksm
niksem niksme nikesm nikems nikmes nikmse nkmsie nkmsei nkmise nkmies nkmeis
nkmesi nksmie nksmei nksime nksiem nkseim nksemi nkisme nkisem nkimse nkimes
nkiems nkiesm nkesim nkesmi nkeism nkeims nkemis nkemsi senmik senmki senimk
senikm senkim senkmi semnik semnki semink semikn semkin semkni seimnk seimkn
seinmk seinkm seiknm seikmn sekmin sekmni sekimn sekinm seknim seknmi snemik
snemki sneimk sneikm snekim snekmi snmeik snmeki snmiek snmike snmkie snmkei
snimek snimke sniemk sniekm snikem snikme snkmie snkmei snkime snkiem snkeim
snkemi smneik smneki smniek smnike smnkie smnkei smenik smenki smeink smeikn
smekin smekni smienk smiekn sminek sminke smikne smiken smkein smkeni smkien
smkine smknie smknei sinmek sinmke sinemk sinekm sinkem sinkme simnek simnke
simenk simekn simken simkne siemnk siemkn sienmk sienkm sieknm siekmn sikmen
sikmne sikemn sikenm siknem siknme sknmie sknmei sknime skniem skneim sknemi
skmnie skmnei skmine skmien skmein skmeni skimne skimen skinme skinem skienm
skiemn skemin skemni skeimn skeinm skenim skenmi iensmk ienskm ienmsk ienmks
ienkms ienksm iesnmk iesnkm iesmnk iesmkn ieskmn iesknm iemsnk iemskn iemnsk
iemnks iemkns iemksn ieksmn ieksnm iekmsn iekmns ieknms ieknsm inesmk ineskm
inemsk inemks inekms ineksm insemk insekm insmek insmke inskme inskem inmsek
inmske inmesk inmeks inmkes inmkse inksme inksem inkmse inkmes inkems inkesm
isnemk isnekm isnmek isnmke isnkme isnkem isenmk isenkm isemnk isemkn isekmn
iseknm ismenk ismekn ismnek ismnke ismkne ismken iskemn iskenm iskmen iskmne
isknme isknem imnsek imnske imnesk imneks imnkes imnkse imsnek imsnke imsenk
imsekn imsken imskne imesnk imeskn imensk imenks imekns imeksn imksen imksne
imkesn imkens imknes imknse iknsme iknsem iknmse iknmes iknems iknesm iksnme
iksnem iksmne iksmen iksemn iksenm ikmsne ikmsen ikmnse ikmnes ikmens ikmesn
ikesmn ikesnm ikemsn ikemns ikenms ikensm kensim kensmi kenism kenims kenmis
kenmsi kesnim kesnmi kesinm kesimn kesmin kesmni keisnm keismn keinsm keinms
keimns keimsn kemsin kemsni kemisn kemins kemnis kemnsi knesim knesmi kneism
kneims knemis knemsi knseim knsemi knsiem knsime knsmie knsmei knisem knisme
kniesm kniems knimes knimse knmsie knmsei knmise knmies knmeis knmesi ksneim
ksnemi ksniem ksnime ksnmie ksnmei ksenim ksenmi kseinm kseimn ksemin ksemni
ksienm ksiemn ksinem ksinme ksimne ksimen ksmein ksmeni ksmien ksmine ksmnie
ksmnei kinsem kinsme kinesm kinems kinmes kinmse kisnem kisnme kisenm kisemn
kismen kismne kiesnm kiesmn kiensm kienms kiemns kiemsn kimsen kimsne kimesn
kimens kimnes kimnse kmnsie kmnsei kmnise kmnies kmneis kmnesi kmsnie kmsnei
kmsine kmsien kmsein kmseni kmisne kmisen kminse kmines kmiens kmiesn kmesin
kmesni kmeisn kmeins kmenis kmensi

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