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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: aletse
cipher variations:
bmfutf cngvug dohwvh epixwi fqjyxj
grkzyk hslazl itmbam juncbn kvodco
lwpedp mxqfeq nyrgfr ozshgs patiht
qbujiu rcvkjv sdwlkw texmlx ufynmy
vgzonz whapoa xibqpb yjcrqc zkdsrd

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: aletse
Cipher: zovghv

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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: aletse
Cipher: AAAAA ABABA AABAA BAABA BAAAB AABAA

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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: aletse
cipher variations:
bmfutfbingdnbevsnvbadexdbwlqhlbstcrtbkjaljbgrmvr
bczyfzbyhkphbupwzpbqxijxcngvugcjoheocfwtowcbefye
cxmrimctudsuclkbmkchsnwscdazgaczilqicvqxaqcryjky
dohwvhdkpifpdgxupxdcfgzfdynsjnduvetvdmlcnlditoxt
debahbdajmrjdwrybrdszklzepixwielqjgqehyvqyedghag
ezotkoevwfuwenmdomejupyuefcbicebknskexszcsetalma
fqjyxjfmrkhrfizwrzfehibhfapulpfwxgvxfonepnfkvqzv
fgdcjdfclotlfytadtfubmnbgrkzykgnslisgjaxsagfijci
gbqvmqgxyhwygpofqoglwrawghedkegdmpumgzubeugvcnoc
hslazlhotmjthkbytbhgjkdjhcrwnrhyzixzhqpgrphmxsbx
hifelfhenqvnhavcfvhwdopditmbamipunkuilczucihklek
idsxosizajyairqhsqinytcyijgfmgiforwoibwdgwixepqe
juncbnjqvolvjmdavdjilmfljetyptjabkzbjsritrjozudz
jkhgnhjgpsxpjcxehxjyfqrfkvodcokrwpmwknebwekjmngm
kfuzqukbclacktsjuskpaveaklihoikhqtyqkdyfiykzgrsg
lwpedplsxqnxlofcxflknohnlgvarvlcdmbdlutkvtlqbwfb
lmjipjliruzrlezgjzlahsthmxqfeqmtyroympgdygmlopio
mhwbswmdencemvulwumrcxgcmnkjqkmjsvasmfahkambitui
nyrgfrnuzspznqhezhnmpqjpnixctxnefodfnwvmxvnsdyhd
nolkrlnktwbtngbilbncjuvjozshgsovatqaorifaionqrkq
ojyduyofgpegoxwnywotezieopmlsmoluxcuohcjmcodkvwk
patihtpwburbpsjgbjporslrpkzevzpghqfhpyxozxpufajf
pqnmtnpmvydvpidkndpelwxlqbujiuqxcvscqtkhckqpstms
qlafwaqhirgiqzypayqvgbkgqronuoqnwzewqjeloeqfmxym
rcvkjvrydwtdrulidlrqtuntrmbgxbrijshjrazqbzrwhclh
rspovproxafxrkfmpfrgnyznsdwlkwszexuesvmjemsruvou
snchycsjktiksbarcasxidmistqpwqspybgyslgnqgshozao
texmlxtafyvftwnkfntsvwpvtodizdtklujltcbsdbtyjenj
turqxrtqzchztmhorhtipabpufynmyubgzwguxolgoutwxqw
upejaeulmvkmudctecuzkfokuvsrysuradiaunipsiujqbcq
vgzonzvchaxhvypmhpvuxyrxvqfkbfvmnwlnvedufdvalgpl
vwtsztvsbejbvojqtjvkrcdrwhapoawdibyiwzqniqwvyzsy
wrglcgwnoxmowfevgewbmhqmwxutauwtcfkcwpkrukwlsdes
xibqpbxejczjxarojrxwzatzxshmdhxopynpxgfwhfxcnirn
xyvubvxudgldxqlsvlxmteftyjcrqcyfkdakybspksyxabua
ytineiypqzoqyhgxigydojsoyzwvcwyvehmeyrmtwmynufgu
zkdsrdzgleblzctqltzybcvbzujofjzqraprzihyjhzepktp
zaxwdxzwfinfzsnuxnzovghvaletseahmfcmadurmuazcdwc
avkpgkarsbqsajizkiafqluqabyxeyaxgjogatovyoapwhiw

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: aletse
Cipher: nyrgfr

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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: aletse
Cipher: 111351443451

Extended Methods:
Method #1

Plaintext: aletse
method variations:
fqkyxklvpdcpqauihuvfzonz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a l e t s e 
1 1 5 4 3 5 
1 3 1 4 4 1 
They are then read out in rows:
115435131441
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: aletse
Cipher: auxlqd

Read more ...
Method #3

Plaintext: aletse
method variations:
axqoya xqoyaa qoyaax
oyaaxq yaaxqo aaxqoy

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: aletse

all 720 cipher variations:
aletse aletes aleste aleset aleest aleets altese altees altsee altsee altese
altees alstee alstee alsete alseet alseet alsete aletse aletes aleste aleset
aleest aleets aeltse aeltes aelste aelset aelest aelets aetlse aetles aetsle
aetsel aetesl aetels aestle aestel aeslte aeslet aeselt aesetl aeetsl aeetls
aeestl aeeslt aeelst aeelts atelse ateles atesle atesel ateesl ateels atlese
atlees atlsee atlsee atlese atlees atslee atslee atsele atseel atseel atsele
atelse ateles atesle atesel ateesl ateels asetle asetel aselte aselet aseelt
aseetl astele asteel astlee astlee astele asteel asltee asltee aslete asleet
asleet aslete asetle asetel aselte aselet aseelt aseetl aeetsl aeetls aeestl
aeeslt aeelst aeelts aetesl aetels aetsel aetsle aetlse aetles aestel aestle
aesetl aeselt aeslet aeslte aeltse aeltes aelste aelset aelest aelets laetse
laetes laeste laeset laeest laeets latese latees latsee latsee latese latees
lastee lastee lasete laseet laseet lasete laetse laetes laeste laeset laeest
laeets leatse leates leaste leaset leaest leaets letase letaes letsae letsea
letesa leteas lestae lestea lesate lesaet leseat leseta leetsa leetas leesta
leesat leeast leeats ltease lteaes ltesae ltesea lteesa lteeas ltaese ltaees
ltasee ltasee ltaese ltaees ltsaee ltsaee ltseae ltseea ltseea ltseae ltease
lteaes ltesae ltesea lteesa lteeas lsetae lsetea lseate lseaet lseeat lseeta
lsteae lsteea lstaee lstaee lsteae lsteea lsatee lsatee lsaete lsaeet lsaeet
lsaete lsetae lsetea lseate lseaet lseeat lseeta leetsa leetas leesta leesat
leeast leeats letesa leteas letsea letsae letase letaes lestea lestae leseta
leseat lesaet lesate leatse leates leaste leaset leaest leaets elatse elates
elaste elaset elaest elaets eltase eltaes eltsae eltsea eltesa elteas elstae
elstea elsate elsaet elseat elseta eletsa eletas elesta elesat eleast eleats
ealtse ealtes ealste ealset ealest ealets eatlse eatles eatsle eatsel eatesl
eatels eastle eastel easlte easlet easelt easetl eaetsl eaetls eaestl eaeslt
eaelst eaelts etalse etales etasle etasel etaesl etaels etlase etlaes etlsae
etlsea etlesa etleas etslae etslea etsale etsael etseal etsela etelsa etelas
etesla etesal eteasl eteals esatle esatel esalte esalet esaelt esaetl estale
estael estlae estlea estela esteal esltae esltea eslate eslaet esleat esleta
esetla esetal eselta eselat esealt eseatl eeatsl eeatls eeastl eeaslt eealst
eealts eetasl eetals eetsal eetsla eetlsa eetlas eestal eestla eesatl eesalt
eeslat eeslta eeltsa eeltas eelsta eelsat eelast eelats tlease tleaes tlesae
tlesea tleesa tleeas tlaese tlaees tlasee tlasee tlaese tlaees tlsaee tlsaee
tlseae tlseea tlseea tlseae tlease tleaes tlesae tlesea tleesa tleeas telase
telaes telsae telsea telesa teleas tealse teales teasle teasel teaesl teaels
tesale tesael teslae teslea tesela teseal teeasl teeals teesal teesla teelsa
teelas taelse taeles taesle taesel taeesl taeels talese talees talsee talsee
talese talees taslee taslee tasele taseel taseel tasele taelse taeles taesle
taesel taeesl taeels tseale tseael tselae tselea tseela tseeal tsaele tsaeel
tsalee tsalee tsaele tsaeel tslaee tslaee tsleae tsleea tsleea tsleae tseale
tseael tselae tselea tseela tseeal teeasl teeals teesal teesla teelsa teelas
teaesl teaels teasel teasle tealse teales tesael tesale teseal tesela teslea
teslae telase telaes telsae telsea telesa teleas sletae sletea sleate sleaet
sleeat sleeta slteae slteea sltaee sltaee slteae slteea slatee slatee slaete
slaeet slaeet slaete sletae sletea sleate sleaet sleeat sleeta seltae seltea
selate selaet seleat seleta setlae setlea setale setael seteal setela seatle
seatel sealte sealet seaelt seaetl seetal seetla seeatl seealt seelat seelta
stelae stelea steale steael steeal steela stleae stleea stlaee stlaee stleae
stleea stalee stalee staele staeel staeel staele stelae stelea steale steael
steeal steela saetle saetel saelte saelet saeelt saeetl satele sateel satlee
satlee satele sateel saltee saltee salete saleet saleet salete saetle saetel
saelte saelet saeelt saeetl seetal seetla seeatl seealt seelat seelta seteal
setela setael setale setlae setlea seatel seatle seaetl seaelt sealet sealte
seltae seltea selate selaet seleat seleta eletsa eletas elesta elesat eleast
eleats eltesa elteas eltsea eltsae eltase eltaes elstea elstae elseta elseat
elsaet elsate elatse elates elaste elaset elaest elaets eeltsa eeltas eelsta
eelsat eelast eelats eetlsa eetlas eetsla eetsal eetasl eetals eestla eestal
eeslta eeslat eesalt eesatl eeatsl eeatls eeastl eeaslt eealst eealts etelsa
etelas etesla etesal eteasl eteals etlesa etleas etlsea etlsae etlase etlaes
etslea etslae etsela etseal etsael etsale etalse etales etasle etasel etaesl
etaels esetla esetal eselta eselat esealt eseatl estela esteal estlea estlae
estale estael esltea esltae esleta esleat eslaet eslate esatle esatel esalte
esalet esaelt esaetl eaetsl eaetls eaestl eaeslt eaelst eaelts eatesl eatels
eatsel eatsle eatlse eatles eastel eastle easetl easelt easlet easlte ealtse
ealtes ealste ealset ealest ealets

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