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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: asteam
cipher variations:
btufbn cuvgco dvwhdp ewxieq fxyjfr
gyzkgs hzalht iabmiu jbcnjv kcdokw
ldeplx mefqmy nfgrnz oghsoa phitpb
qijuqc rjkvrd sklwse tlmxtf umnyug
vnozvh wopawi xpqbxj yqrcyk zrsdzl

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: asteam
Cipher: zhgvzn

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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: asteam
Cipher: AAAAA BAAAB BAABA AABAA AAAAA ABABB

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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: asteam
cipher variations:
btufbnbdgnblbnsvbjbxedbhbhqlbfbrctbdblajbzbvmrbx
bfyzbvbpkhbtbzwpbrbjixbpcuvgcocehocmcotwckcyfeci
cirmcgcsducecmbkcacwnscycgzacwcqlicucaxqcsckjycq
dvwhdpdfipdndpuxdldzgfdjdjsndhdtevdfdncldbdxotdz
dhabdxdrmjdvdbyrdtdlkzdrewxieqegjqeoeqvyemeahgek
ektoeieufwegeodmeceypueaeibceyesnkeweczseuemlaes
fxyjfrfhkrfpfrwzfnfbihflflupfjfvgxfhfpenfdfzqvfb
fjcdfzftolfxfdatfvfnmbftgyzkgsgilsgqgsxagogcjigm
gmvqgkgwhygigqfogegarwgcgkdegagupmgygebugwgoncgu
hzalhthjmthrhtybhphdkjhnhnwrhlhxizhjhrgphfhbsxhd
hlefhbhvqnhzhfcvhxhpodhviabmiuiknuisiuzciqielkio
ioxsimiyjaikishqigictyieimfgiciwroiaigdwiyiqpeiw
jbcnjvjlovjtjvadjrjfmljpjpytjnjzkbjljtirjhjduzjf
jnghjdjxspjbjhexjzjrqfjxkcdokwkmpwkukwbekskgnmkq
kqzukokalckmkujskikevakgkohikekytqkckifykaksrgky
ldeplxlnqxlvlxcfltlhonlrlravlplbmdlnlvktljlfwblh
lpijlflzurldljgzlbltshlzmefqmymorymwmydgmumipoms
msbwmqmcnemomwlumkmgxcmimqjkmgmavsmemkhamcmutima
nfgrnznpsznxnzehnvnjqpntntcxnrndofnpnxmvnlnhydnj
nrklnhnbwtnfnlibndnvujnboghsoaoqtaoyoafiowokrqou
oudyosoepgoqoynwomoizeokoslmoiocxuogomjcoeowvkoc
phitpbprubpzpbgjpxplsrpvpvezptpfqhprpzoxpnpjafpl
ptmnpjpdyvphpnkdpfpxwlpdqijuqcqsvcqaqchkqyqmtsqw
qwfaquqgriqsqapyqoqkbgqmqunoqkqezwqiqoleqgqyxmqe
rjkvrdrtwdrbrdilrzrnutrxrxgbrvrhsjrtrbqzrprlchrn
rvoprlrfaxrjrpmfrhrzynrfsklwsesuxescsejmsasovusy
syhcswsitksuscrasqsmdisoswpqsmsgbysksqngsisazosg
tlmxtftvyftdtfkntbtpwvtztzidtxtjultvtdsbtrtnejtp
txqrtnthcztltrohtjtbapthumnyuguwzgueugloucuqxwua
uajeuyukvmuwuetcusuofkuquyrsuouidaumuspiukucbqui
vnozvhvxahvfvhmpvdvryxvbvbkfvzvlwnvxvfudvtvpglvr
vzstvpvjebvnvtqjvlvdcrvjwopawiwybiwgwinqwewszywc
wclgwawmxowywgvewuwqhmwswatuwqwkfcwowurkwmwedswk
xpqbxjxzcjxhxjorxfxtazxdxdmhxbxnypxzxhwfxvxrinxt
xbuvxrxlgdxpxvslxnxfetxlyqrcykyadkyiykpsygyubaye
yeniycyozqyayixgywysjoyuycvwysymheyqywtmyoygfuym
zrsdzlzbelzjzlqtzhzvcbzfzfojzdzparzbzjyhzxztkpzv
zdwxztznifzrzxunzpzhgvznasteamacfmakamruaiawdcag
agpkaeaqbsacakziayaulqawaexyauaojgasayvoaqaihwao

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: asteam
Cipher: nfgrnz

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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: asteam
Cipher: 113444511123

Extended Methods:
Method #1

Plaintext: asteam
method variations:
fxykfrlcdplwqhiuqbvnozvg

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a s t e a m 
1 3 4 5 1 2 
1 4 4 1 1 3 
They are then read out in rows:
134512144113
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: asteam
Cipher: lyfqdl

Read more ...
Method #3

Plaintext: asteam
method variations:
ltyafc tyafcl yafclt
afclty fcltya cltyaf

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: asteam

all 720 cipher variations:
asteam astema astaem astame astmae astmea asetam asetma aseatm aseamt asemat
asemta asaetm asaemt asatem asatme asamte asamet asmeat asmeta asmaet asmate
asmtae asmtea atseam atsema atsaem atsame atsmae atsmea atesam atesma ateasm
ateams atemas atemsa ataesm ataems atasem atasme atamse atames atmeas atmesa
atmaes atmase atmsae atmsea aetsam aetsma aetasm aetams aetmas aetmsa aestam
aestma aesatm aesamt aesmat aesmta aeastm aeasmt aeatsm aeatms aeamts aeamst
aemsat aemsta aemast aemats aemtas aemtsa aatesm aatems aatsem aatsme aatmse
aatmes aaetsm aaetms aaestm aaesmt aaemst aaemts aasetm aasemt aastem aastme
aasmte aasmet aamest aamets aamset aamste aamtse aamtes amteas amtesa amtaes
amtase amtsae amtsea ametas ametsa ameats ameast amesat amesta amaets amaest
amates amatse amaste amaset amseat amseta amsaet amsate amstae amstea sateam
satema sataem satame satmae satmea saetam saetma saeatm saeamt saemat saemta
saaetm saaemt saatem saatme saamte saamet sameat sameta samaet samate samtae
samtea staeam staema staaem staame stamae stamea steaam steama steaam steama
stemaa stemaa staeam staema staaem staame stamae stamea stmeaa stmeaa stmaea
stmaae stmaae stmaea setaam setama setaam setama setmaa setmaa seatam seatma
seaatm seaamt seamat seamta seaatm seaamt seatam seatma seamta seamat semaat
semata semaat semata semtaa semtaa sateam satema sataem satame satmae satmea
saetam saetma saeatm saeamt saemat saemta saaetm saaemt saatem saatme saamte
saamet sameat sameta samaet samate samtae samtea smteaa smteaa smtaea smtaae
smtaae smtaea smetaa smetaa smeata smeaat smeaat smeata smaeta smaeat smatea
smatae smaate smaaet smaeat smaeta smaaet smaate smatae smatea tsaeam tsaema
tsaaem tsaame tsamae tsamea tseaam tseama tseaam tseama tsemaa tsemaa tsaeam
tsaema tsaaem tsaame tsamae tsamea tsmeaa tsmeaa tsmaea tsmaae tsmaae tsmaea
taseam tasema tasaem tasame tasmae tasmea taesam taesma taeasm taeams taemas
taemsa taaesm taaems taasem taasme taamse taames tameas tamesa tamaes tamase
tamsae tamsea teasam teasma teaasm teaams teamas teamsa tesaam tesama tesaam
tesama tesmaa tesmaa teasam teasma teaasm teaams teamas teamsa temsaa temsaa
temasa temaas temaas temasa taaesm taaems taasem taasme taamse taames taeasm
taeams taesam taesma taemsa taemas taseam tasema tasaem tasame tasmae tasmea
tamesa tameas tamsea tamsae tamase tamaes tmaeas tmaesa tmaaes tmaase tmasae
tmasea tmeaas tmeasa tmeaas tmeasa tmesaa tmesaa tmaeas tmaesa tmaaes tmaase
tmasae tmasea tmseaa tmseaa tmsaea tmsaae tmsaae tmsaea estaam estama estaam
estama estmaa estmaa esatam esatma esaatm esaamt esamat esamta esaatm esaamt
esatam esatma esamta esamat esmaat esmata esmaat esmata esmtaa esmtaa etsaam
etsama etsaam etsama etsmaa etsmaa etasam etasma etaasm etaams etamas etamsa
etaasm etaams etasam etasma etamsa etamas etmaas etmasa etmaas etmasa etmsaa
etmsaa eatsam eatsma eatasm eatams eatmas eatmsa eastam eastma easatm easamt
easmat easmta eaastm eaasmt eaatsm eaatms eaamts eaamst eamsat eamsta eamast
eamats eamtas eamtsa eatasm eatams eatsam eatsma eatmsa eatmas eaatsm eaatms
eaastm eaasmt eaamst eaamts easatm easamt eastam eastma easmta easmat eamast
eamats eamsat eamsta eamtsa eamtas emtaas emtasa emtaas emtasa emtsaa emtsaa
ematas ematsa emaats emaast emasat emasta emaats emaast ematas ematsa emasta
emasat emsaat emsata emsaat emsata emstaa emstaa asteam astema astaem astame
astmae astmea asetam asetma aseatm aseamt asemat asemta asaetm asaemt asatem
asatme asamte asamet asmeat asmeta asmaet asmate asmtae asmtea atseam atsema
atsaem atsame atsmae atsmea atesam atesma ateasm ateams atemas atemsa ataesm
ataems atasem atasme atamse atames atmeas atmesa atmaes atmase atmsae atmsea
aetsam aetsma aetasm aetams aetmas aetmsa aestam aestma aesatm aesamt aesmat
aesmta aeastm aeasmt aeatsm aeatms aeamts aeamst aemsat aemsta aemast aemats
aemtas aemtsa aatesm aatems aatsem aatsme aatmse aatmes aaetsm aaetms aaestm
aaesmt aaemst aaemts aasetm aasemt aastem aastme aasmte aasmet aamest aamets
aamset aamste aamtse aamtes amteas amtesa amtaes amtase amtsae amtsea ametas
ametsa ameats ameast amesat amesta amaets amaest amates amatse amaste amaset
amseat amseta amsaet amsate amstae amstea msteaa msteaa mstaea mstaae mstaae
mstaea msetaa msetaa mseata mseaat mseaat mseata msaeta msaeat msatea msatae
msaate msaaet msaeat msaeta msaaet msaate msatae msatea mtseaa mtseaa mtsaea
mtsaae mtsaae mtsaea mtesaa mtesaa mteasa mteaas mteaas mteasa mtaesa mtaeas
mtasea mtasae mtaase mtaaes mtaeas mtaesa mtaaes mtaase mtasae mtasea metsaa
metsaa metasa metaas metaas metasa mestaa mestaa mesata mesaat mesaat mesata
measta measat meatsa meatas meaats meaast measat measta meaast meaats meatas
meatsa matesa mateas matsea matsae matase mataes maetsa maetas maesta maesat
maeast maeats maseta maseat mastea mastae masate masaet maaest maaets maaset
maaste maatse maates mateas matesa mataes matase matsae matsea maetas maetsa
maeats maeast maesat maesta maaets maaest maates maatse maaste maaset maseat
maseta masaet masate mastae mastea

Read more ...[1] , [2] , [3]

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