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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: dewret
cipher variations:
efxsfu fgytgv ghzuhw hiavix ijbwjy
jkcxkz kldyla lmezmb mnfanc nogbod
ophcpe pqidqf qrjerg rskfsh stlgti
tumhuj uvnivk vwojwl wxpkxm xyqlyn
yzrmzo zasnap abtobq bcupcr cdvqds

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: dewret
Cipher: wvdivg

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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: dewret
Cipher: AAABB AABAA BABAA BAAAA AABAA BAABA

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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: dewret
cipher variations:
efxsfuknpangqvhivswdzqdeclrylqitjgtcujtwjaarlerm
gzdmzymhvuhkspncpwyxfkxifgytgvloqbohrwijwtxearef
dmszmrjukhudvkuxkbbsmfsnhaenazniwviltqodqxzyglyj
ghzuhwmprcpisxjkxuyfbsfgentanskvlivewlvylcctngto
ibfobaojxwjmurperyazhmzkhiavixnqsdqjtyklyvzgctgh
foubotlwmjwfxmwzmdduohupjcgpcbpkyxknvsqfszbainal
ijbwjyorterkuzlmzwahduhigpvcpumxnkxgynxaneevpivq
kdhqdcqlzylowtrgtacbjobmjkcxkzpsufslvamnaxbievij
hqwdqvnyolyhzoyboffwqjwrleiredrmazmpxushubdckpcn
kldylaqtvgtmwbnobycjfwjkirxerwozpmziapzcpggxrkxs
mfjsfesnbanqyvtivcedlqdolmezmbruwhunxcopczdkgxkl
jsyfsxpaqnajbqadqhhyslytngktgftocborzwujwdfemrep
mnfancsvxivoydpqdaelhylmktzgtyqbrobkcrberiiztmzu
ohluhgupdcpsaxvkxegfnsfqnogbodtwyjwpzeqrebfmizmn
luahuzrcspcldscfsjjaunavpimvihvqedqtbywlyfhgotgr
ophcpeuxzkxqafrsfcgnjanomvbivasdtqdmetdgtkkbvobw
qjnwjiwrferuczxmzgihpuhspqidqfvyalyrbgstgdhokbop
nwcjwbteurenfuehullcwpcxrkoxkjxsgfsvdaynahjiqvit
qrjergwzbmzschtuheiplcpqoxdkxcufvsfogvfivmmdxqdy
slpylkythgtwebzobikjrwjurskfshxacnatdiuvifjqmdqr
pyelydvgwtgphwgjwnneyreztmqzmlzuihuxfcapcjlksxkv
stlgtiybdobuejvwjgkrnersqzfmzewhxuhqixhkxoofzsfa
unranmavjivygdbqdkmltylwtumhujzcepcvfkwxkhlsofst
ragnafxiyvirjyilyppgatgbvosbonbwkjwzhecrelnmuzmx
uvnivkadfqdwglxylimtpgtusbhobgyjzwjskzjmzqqhbuhc
wptcpocxlkxaifdsfmonvanyvwojwlbegrexhmyzmjnuqhuv
tcipchzkaxktlaknarricvidxqudqpdymlybjgetgnpowboz
wxpkxmcfhsfyinzankovrivwudjqdialbylumblobssjdwje
yrverqeznmzckhfuhoqpxcpaxyqlyndgitgzjoabolpwsjwx
vekrejbmczmvncmpcttkexkfzswfsrfaonadligviprqydqb
yzrmzoehjuhakpbcpmqxtkxywflsfkcndanwodnqduulfylg
atxgtsgbpobemjhwjqsrzerczasnapfikviblqcdqnryulyz
xgmtgldoeboxpeorevvmgzmhbuyhuthcqpcfnkixkrtsafsd
abtobqgjlwjcmrderoszvmzayhnuhmepfcpyqfpsfwwnhani
cvzivuidrqdgoljylsutbgtebcupcrhkmxkdnsefsptawnab
ziovinfqgdqzrgqtgxxoibojdwajwvjesrehpmkzmtvuchuf
cdvqdsilnyleotfgtqubxobcajpwjogrherashruhyypjcpk
exbkxwkftsfiqnlanuwvdivgdewretjmozmfpughurvcypcd
bkqxkphsifsbtisvizzqkdqlfyclyxlgutgjrombovxwejwh

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: dewret
Cipher: qrjerg

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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: dewret
Cipher: 415125245144

Extended Methods:
Method #1

Plaintext: dewret
method variations:
ikbwkyopgbpdtumguiyzrmzo

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d e w r e t 
4 5 2 2 5 4 
1 1 5 4 1 4 
They are then read out in rows:
452254115414
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: dewret
Cipher: yguauq

Read more ...
Method #3

Plaintext: dewret
method variations:
vfkyqt fkyqtv kyqtvf
yqtvfk qtvfky tvfkyq

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: dewret

all 720 cipher variations:
dewret dewrte dewert dewetr dewter dewtre derwet derwte derewt deretw dertew
dertwe deerwt deertw deewrt deewtr deetwr deetrw detrew detrwe deterw detewr
detwer detwre dweret dwerte dweert dweetr dweter dwetre dwreet dwrete dwreet
dwrete dwrtee dwrtee dweret dwerte dweert dweetr dweter dwetre dwtree dwtree
dwtere dwteer dwteer dwtere drweet drwete drweet drwete drwtee drwtee drewet
drewte dreewt dreetw dretew dretwe dreewt dreetw drewet drewte dretwe dretew
drteew drtewe drteew drtewe drtwee drtwee dewret dewrte dewert dewetr dewter
dewtre derwet derwte derewt deretw dertew dertwe deerwt deertw deewrt deewtr
deetwr deetrw detrew detrwe deterw detewr detwer detwre dtwree dtwree dtwere
dtweer dtweer dtwere dtrwee dtrwee dtrewe dtreew dtreew dtrewe dterwe dterew
dtewre dtewer dteewr dteerw dterew dterwe dteerw dteewr dtewer dtewre edwret
edwrte edwert edwetr edwter edwtre edrwet edrwte edrewt edretw edrtew edrtwe
ederwt edertw edewrt edewtr edetwr edetrw edtrew edtrwe edterw edtewr edtwer
edtwre ewdret ewdrte ewdert ewdetr ewdter ewdtre ewrdet ewrdte ewredt ewretd
ewrted ewrtde ewerdt ewertd ewedrt ewedtr ewetdr ewetrd ewtred ewtrde ewterd
ewtedr ewtder ewtdre erwdet erwdte erwedt erwetd erwted erwtde erdwet erdwte
erdewt erdetw erdtew erdtwe eredwt eredtw erewdt erewtd eretwd eretdw ertdew
ertdwe ertedw ertewd ertwed ertwde eewrdt eewrtd eewdrt eewdtr eewtdr eewtrd
eerwdt eerwtd eerdwt eerdtw eertdw eertwd eedrwt eedrtw eedwrt eedwtr eedtwr
eedtrw eetrdw eetrwd eetdrw eetdwr eetwdr eetwrd etwred etwrde etwerd etwedr
etwder etwdre etrwed etrwde etrewd etredw etrdew etrdwe eterwd eterdw etewrd
etewdr etedwr etedrw etdrew etdrwe etderw etdewr etdwer etdwre wedret wedrte
wedert wedetr wedter wedtre werdet werdte weredt weretd werted wertde weerdt
weertd weedrt weedtr weetdr weetrd wetred wetrde weterd wetedr wetder wetdre
wderet wderte wdeert wdeetr wdeter wdetre wdreet wdrete wdreet wdrete wdrtee
wdrtee wderet wderte wdeert wdeetr wdeter wdetre wdtree wdtree wdtere wdteer
wdteer wdtere wrdeet wrdete wrdeet wrdete wrdtee wrdtee wredet wredte wreedt
wreetd wreted wretde wreedt wreetd wredet wredte wretde wreted wrteed wrtede
wrteed wrtede wrtdee wrtdee wedret wedrte wedert wedetr wedter wedtre werdet
werdte weredt weretd werted wertde weerdt weertd weedrt weedtr weetdr weetrd
wetred wetrde weterd wetedr wetder wetdre wtdree wtdree wtdere wtdeer wtdeer
wtdere wtrdee wtrdee wtrede wtreed wtreed wtrede wterde wtered wtedre wteder
wteedr wteerd wtered wterde wteerd wteedr wteder wtedre rewdet rewdte rewedt
rewetd rewted rewtde redwet redwte redewt redetw redtew redtwe reedwt reedtw
reewdt reewtd reetwd reetdw retdew retdwe retedw retewd retwed retwde rwedet
rwedte rweedt rweetd rweted rwetde rwdeet rwdete rwdeet rwdete rwdtee rwdtee
rwedet rwedte rweedt rweetd rweted rwetde rwtdee rwtdee rwtede rwteed rwteed
rwtede rdweet rdwete rdweet rdwete rdwtee rdwtee rdewet rdewte rdeewt rdeetw
rdetew rdetwe rdeewt rdeetw rdewet rdewte rdetwe rdetew rdteew rdtewe rdteew
rdtewe rdtwee rdtwee rewdet rewdte rewedt rewetd rewted rewtde redwet redwte
redewt redetw redtew redtwe reedwt reedtw reewdt reewtd reetwd reetdw retdew
retdwe retedw retewd retwed retwde rtwdee rtwdee rtwede rtweed rtweed rtwede
rtdwee rtdwee rtdewe rtdeew rtdeew rtdewe rtedwe rtedew rtewde rtewed rteewd
rteedw rtedew rtedwe rteedw rteewd rtewed rtewde eewrdt eewrtd eewdrt eewdtr
eewtdr eewtrd eerwdt eerwtd eerdwt eerdtw eertdw eertwd eedrwt eedrtw eedwrt
eedwtr eedtwr eedtrw eetrdw eetrwd eetdrw eetdwr eetwdr eetwrd ewerdt ewertd
ewedrt ewedtr ewetdr ewetrd ewredt ewretd ewrdet ewrdte ewrtde ewrted ewdret
ewdrte ewdert ewdetr ewdter ewdtre ewtrde ewtred ewtdre ewtder ewtedr ewterd
erwedt erwetd erwdet erwdte erwtde erwted erewdt erewtd eredwt eredtw eretdw
eretwd erdewt erdetw erdwet erdwte erdtwe erdtew ertedw ertewd ertdew ertdwe
ertwde ertwed edwret edwrte edwert edwetr edwter edwtre edrwet edrwte edrewt
edretw edrtew edrtwe ederwt edertw edewrt edewtr edetwr edetrw edtrew edtrwe
edterw edtewr edtwer edtwre etwrde etwred etwdre etwder etwedr etwerd etrwde
etrwed etrdwe etrdew etredw etrewd etdrwe etdrew etdwre etdwer etdewr etderw
eterdw eterwd etedrw etedwr etewdr etewrd tewred tewrde tewerd tewedr tewder
tewdre terwed terwde terewd teredw terdew terdwe teerwd teerdw teewrd teewdr
teedwr teedrw tedrew tedrwe tederw tedewr tedwer tedwre twered twerde tweerd
tweedr tweder twedre twreed twrede twreed twrede twrdee twrdee twered twerde
tweerd tweedr tweder twedre twdree twdree twdere twdeer twdeer twdere trweed
trwede trweed trwede trwdee trwdee trewed trewde treewd treedw tredew tredwe
treewd treedw trewed trewde tredwe tredew trdeew trdewe trdeew trdewe trdwee
trdwee tewred tewrde tewerd tewedr tewder tewdre terwed terwde terewd teredw
terdew terdwe teerwd teerdw teewrd teewdr teedwr teedrw tedrew tedrwe tederw
tedewr tedwer tedwre tdwree tdwree tdwere tdweer tdweer tdwere tdrwee tdrwee
tdrewe tdreew tdreew tdrewe tderwe tderew tdewre tdewer tdeewr tdeerw tderew
tderwe tdeerw tdeewr tdewer tdewre

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