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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: kelner
cipher variations:
lfmofs mgnpgt nhoqhu oipriv pjqsjw
qkrtkx rlsuly smtvmz tnuwna uovxob
vpwypc wqxzqd xryare yszbsf ztactg
aubduh bvcevi cwdfwj dxegxk eyfhyl
fzgizm gahjan hbikbo icjlcp jdkmdq

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: kelner
Cipher: pvomvi

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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: kelner
Cipher: ABAAB AABAA ABABA ABBAA AABAA BAAAA

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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: kelner
cipher variations:
lfmofsfnionazveovitdaodqnlwolyhtsotgvjkojwprgore
jzcozmdhyohuxpuopcrxqoxkmgnpgtgojpobawfpwjuebper
omxpmziutpuhwklpkxqshpsfkadpaneizpivyqvpqdsyrpyl
nhoqhuhpkqpcbxgqxkvfcqfspnyqnajvuqvixlmqlyrtiqtg
lbeqbofjaqjwzrwqretzsqzmoipriviqlrqdcyhrylwgdrgt
qozrobkwvrwjymnrmzsujruhmcfrcpgkbrkxasxrsfuatran
pjqsjwjrmsredziszmxheshurpaspclxwsxkznosnatvksvi
ndgsdqhlcslybtystgvbusboqkrtkxksntsfeajtanyiftiv
sqbtqdmyxtylaoptobuwltwjoehterimdtmzcuztuhwcvtcp
rlsulyltoutgfbkubozjgujwtrcurenzyuzmbpqupcvxmuxk
pfiufsjneunadvauvixdwudqsmtvmzmupvuhgclvcpakhvkx
usdvsfoazvancqrvqdwynvylqgjvgtkofvobewbvwjyexver
tnuwnanvqwvihdmwdqbliwlyvtewtgpbawbodrswrexzowzm
rhkwhulpgwpcfxcwxkzfywfsuovxobowrxwjienxercmjxmz
wufxuhqcbxcpestxsfyapxansilxivmqhxqdgydxylagzxgt
vpwypcpxsyxkjfoyfsdnkynaxvgyvirdcydqftuytgzbqybo
tjmyjwnriyrehzeyzmbhayhuwqxzqdqytzylkgpzgteolzob
ywhzwjsedzerguvzuhacrzcpuknzkxosjzsfiafzancibziv
xryarerzuazmlhqahufpmapczxiaxktfeafshvwavibdsadq
vloalyptkatgjbgabodjcajwyszbsfsavbanmirbivgqnbqd
ayjbylugfbgtiwxbwjcetberwmpbmzqulbuhkchbcpekdbkx
ztactgtbwcbonjscjwhrocrebzkczmvhgchujxycxkdfucfs
xnqcnarvmcvildicdqfleclyaubduhucxdcpoktdkxispdsf
caldanwihdivkyzdylegvdgtyordobswndwjmejdergmfdmz
bvcevivdyedqpluelyjtqetgdbmeboxjiejwlzaezmfhwehu
zpsepctxoexknfkefshngenacwdfwjwezferqmvfmzkurfuh
ecnfcpykjfkxmabfangixfivaqtfqduypfyloglfgtiohfob
dxegxkxfagfsrnwgnalvsgvifdogdqzlkglynbcgbohjygjw
brugrevzqgzmphmghujpigpceyfhylygbhgtsoxhobmwthwj
gepheramlhmzocdhcpikzhkxcsvhsfwarhanqinhivkqjhqd
fzgizmzhcihutpyipcnxuixkhfqifsbnminapdeidqjlaily
dtwitgxbsiborjoijwlrkiregahjanaidjivuqzjqdoyvjyl
igrjgtconjobqefjerkmbjmzeuxjuhyctjcpskpjkxmsljsf
hbikbobjekjwvrakrepzwkzmjhskhudpokpcrfgkfslnckna
fvykvizdukdqtlqklyntmktgicjlcpckflkxwsblsfqaxlan
kitliveqplqdsghlgtmodlobgwzlwjaevlerumrlmzounluh
jdkmdqdlgmlyxtcmtgrbymboljumjwfrqmrethimhunpempc
hxamxkbfwmfsvnsmnapvomvikelneremhnmzyudnuhsczncp
mkvnkxgsrnsfuijnivoqfnqdiybnylcgxngtwotnobqwpnwj

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: kelner
Cipher: xryare

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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: kelner
Cipher: 525113335124

Extended Methods:
Method #1

Plaintext: kelner
method variations:
pkqskwupvxpbzuacugezfhzm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
k e l n e r 
5 5 1 3 5 2 
2 1 3 3 1 4 
They are then read out in rows:
551352213314
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: kelner
Cipher: zlkbnq

Read more ...
Method #3

Plaintext: kelner
method variations:
wanxfy anxfyw nxfywa
xfywan fywanx ywanxf

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: kelner

all 720 cipher variations:
kelner kelnre kelenr kelern kelren kelrne kenler kenlre kenelr kenerl kenrel
kenrle keenlr keenrl keelnr keelrn keerln keernl kernel kernle kerenl kereln
kerlen kerlne klener klenre kleenr kleern kleren klerne klneer klnere klneer
klnere klnree klnree klener klenre kleenr kleern kleren klerne klrnee klrnee
klrene klreen klreen klrene knleer knlere knleer knlere knlree knlree kneler
knelre kneelr kneerl knerel knerle kneelr kneerl kneler knelre knerle knerel
knreel knrele knreel knrele knrlee knrlee kelner kelnre kelenr kelern kelren
kelrne kenler kenlre kenelr kenerl kenrel kenrle keenlr keenrl keelnr keelrn
keerln keernl kernel kernle kerenl kereln kerlen kerlne krlnee krlnee krlene
krleen krleen krlene krnlee krnlee krnele krneel krneel krnele krenle krenel
krelne krelen kreeln kreenl krenel krenle kreenl kreeln krelen krelne eklner
eklnre eklenr eklern eklren eklrne eknler eknlre eknelr eknerl eknrel eknrle
ekenlr ekenrl ekelnr ekelrn ekerln ekernl ekrnel ekrnle ekrenl ekreln ekrlen
ekrlne elkner elknre elkenr elkern elkren elkrne elnker elnkre elnekr elnerk
elnrek elnrke elenkr elenrk eleknr elekrn elerkn elernk elrnek elrnke elrenk
elrekn elrken elrkne enlker enlkre enlekr enlerk enlrek enlrke enkler enklre
enkelr enkerl enkrel enkrle eneklr enekrl enelkr enelrk enerlk enerkl enrkel
enrkle enrekl enrelk enrlek enrlke eelnkr eelnrk eelknr eelkrn eelrkn eelrnk
eenlkr eenlrk eenklr eenkrl eenrkl eenrlk eeknlr eeknrl eeklnr eeklrn eekrln
eekrnl eernkl eernlk eerknl eerkln eerlkn eerlnk erlnek erlnke erlenk erlekn
erlken erlkne ernlek ernlke ernelk ernekl ernkel ernkle erenlk erenkl erelnk
erelkn erekln ereknl erknel erknle erkenl erkeln erklen erklne lekner leknre
lekenr lekern lekren lekrne lenker lenkre lenekr lenerk lenrek lenrke leenkr
leenrk leeknr leekrn leerkn leernk lernek lernke lerenk lerekn lerken lerkne
lkener lkenre lkeenr lkeern lkeren lkerne lkneer lknere lkneer lknere lknree
lknree lkener lkenre lkeenr lkeern lkeren lkerne lkrnee lkrnee lkrene lkreen
lkreen lkrene lnkeer lnkere lnkeer lnkere lnkree lnkree lneker lnekre lneekr
lneerk lnerek lnerke lneekr lneerk lneker lnekre lnerke lnerek lnreek lnreke
lnreek lnreke lnrkee lnrkee lekner leknre lekenr lekern lekren lekrne lenker
lenkre lenekr lenerk lenrek lenrke leenkr leenrk leeknr leekrn leerkn leernk
lernek lernke lerenk lerekn lerken lerkne lrknee lrknee lrkene lrkeen lrkeen
lrkene lrnkee lrnkee lrneke lrneek lrneek lrneke lrenke lrenek lrekne lreken
lreekn lreenk lrenek lrenke lreenk lreekn lreken lrekne nelker nelkre nelekr
nelerk nelrek nelrke nekler neklre nekelr nekerl nekrel nekrle neeklr neekrl
neelkr neelrk neerlk neerkl nerkel nerkle nerekl nerelk nerlek nerlke nleker
nlekre nleekr nleerk nlerek nlerke nlkeer nlkere nlkeer nlkere nlkree nlkree
nleker nlekre nleekr nleerk nlerek nlerke nlrkee nlrkee nlreke nlreek nlreek
nlreke nkleer nklere nkleer nklere nklree nklree nkeler nkelre nkeelr nkeerl
nkerel nkerle nkeelr nkeerl nkeler nkelre nkerle nkerel nkreel nkrele nkreel
nkrele nkrlee nkrlee nelker nelkre nelekr nelerk nelrek nelrke nekler neklre
nekelr nekerl nekrel nekrle neeklr neekrl neelkr neelrk neerlk neerkl nerkel
nerkle nerekl nerelk nerlek nerlke nrlkee nrlkee nrleke nrleek nrleek nrleke
nrklee nrklee nrkele nrkeel nrkeel nrkele nrekle nrekel nrelke nrelek nreelk
nreekl nrekel nrekle nreekl nreelk nrelek nrelke eelnkr eelnrk eelknr eelkrn
eelrkn eelrnk eenlkr eenlrk eenklr eenkrl eenrkl eenrlk eeknlr eeknrl eeklnr
eeklrn eekrln eekrnl eernkl eernlk eerknl eerkln eerlkn eerlnk elenkr elenrk
eleknr elekrn elerkn elernk elnekr elnerk elnker elnkre elnrke elnrek elkner
elknre elkenr elkern elkren elkrne elrnke elrnek elrkne elrken elrekn elrenk
enlekr enlerk enlker enlkre enlrke enlrek enelkr enelrk eneklr enekrl enerkl
enerlk enkelr enkerl enkler enklre enkrle enkrel enrekl enrelk enrkel enrkle
enrlke enrlek eklner eklnre eklenr eklern eklren eklrne eknler eknlre eknelr
eknerl eknrel eknrle ekenlr ekenrl ekelnr ekelrn ekerln ekernl ekrnel ekrnle
ekrenl ekreln ekrlen ekrlne erlnke erlnek erlkne erlken erlekn erlenk ernlke
ernlek ernkle ernkel ernekl ernelk erknle erknel erklne erklen erkeln erkenl
erenkl erenlk ereknl erekln erelkn erelnk relnek relnke relenk relekn relken
relkne renlek renlke renelk renekl renkel renkle reenlk reenkl reelnk reelkn
reekln reeknl reknel reknle rekenl rekeln reklen reklne rlenek rlenke rleenk
rleekn rleken rlekne rlneek rlneke rlneek rlneke rlnkee rlnkee rlenek rlenke
rleenk rleekn rleken rlekne rlknee rlknee rlkene rlkeen rlkeen rlkene rnleek
rnleke rnleek rnleke rnlkee rnlkee rnelek rnelke rneelk rneekl rnekel rnekle
rneelk rneekl rnelek rnelke rnekle rnekel rnkeel rnkele rnkeel rnkele rnklee
rnklee relnek relnke relenk relekn relken relkne renlek renlke renelk renekl
renkel renkle reenlk reenkl reelnk reelkn reekln reeknl reknel reknle rekenl
rekeln reklen reklne rklnee rklnee rklene rkleen rkleen rklene rknlee rknlee
rknele rkneel rkneel rknele rkenle rkenel rkelne rkelen rkeeln rkeenl rkenel
rkenle rkeenl rkeeln rkelen rkelne

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