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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: webern
cipher variations:
xfcfso ygdgtp zhehuq aifivr bjgjws
ckhkxt dlilyu emjmzv fnknaw golobx
hpmpcy iqnqdz jrorea kspsfb ltqtgc
muruhd nvsvie owtwjf pxuxkg qyvylh
rzwzmi saxanj tbybok uczcpl vdadqm

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.)
Read more ...
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: webern
Cipher: dvyvim

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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: webern
Cipher: BABAA AABAA AAAAB AABAA BAAAA ABBAA

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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: webern
cipher variations:
xfcfsopnenaohvgviozdidqorlklyojtmtgotjqjwolrsreo
dzuzmovhwhuonpypcofxaxkoygdgtpqofobpiwhwjpaejerp
smlmzpkunuhpukrkxpmstsfpeavanpwixivpoqzqdpgybylp
zhehuqrpgpcqjxixkqbfkfsqtnmnaqlvoviqvlslyqntutgq
fbwboqxjyjwqprareqhzczmqaifivrsqhqdrkyjylrcglgtr
uonobrmwpwjrwmtmzrouvuhrgcxcprykzkxrqsbsfriadanr
bjgjwstrireslzkzmsdhmhusvpopcsnxqxksxnunaspvwvis
hdydqszlalysrtctgsjbebosckhkxtusjsftmalanteinivt
wqpqdtoyryltyovobtqwxwjtiezertambmztsuduhtkcfcpt
dlilyuvtktgunbmboufjojwuxrqreupzszmuzpwpcurxyxku
jfafsubncnautveviuldgdquemjmzvwuluhvocncpvgkpkxv
ysrsfvqatanvaqxqdvsyzylvkgbgtvcodobvuwfwjvmeherv
fnknawxvmviwpdodqwhlqlywztstgwrbubowbryrewtzazmw
lhchuwdpepcwvxgxkwnfifswgolobxywnwjxqeperximrmzx
autuhxscvcpxcszsfxuabanxmidivxeqfqdxwyhylxogjgtx
hpmpcyzxoxkyrfqfsyjnsnaybvuviytdwdqydtatgyvbcboy
njejwyfrgreyxzizmyphkhuyiqnqdzaypylzsgrgtzkotobz
cwvwjzuexerzeubuhzwcdcpzokfkxzgshsfzyajanzqilivz
jroreabzqzmathshualpupcadxwxkavfyfsafvcviaxdedqa
plglyahtitgazbkboarjmjwakspsfbcaranbuitivbmqvqdb
eyxylbwgzgtbgwdwjbyeferbqmhmzbiujuhbaclcpbsknkxb
ltqtgcdbsbocvjujwcnrwrecfzyzmcxhahuchxexkczfgfsc
rninacjvkvicbdmdqctlolycmuruhdectcpdwkvkxdosxsfd
gazandyibivdiyfyldaghgtdsojobdkwlwjdcenerdumpmzd
nvsviefdudqexlwlyeptytgehbaboezjcjwejzgzmebhihue
tpkpcelxmxkedfofsevnqnaeowtwjfgeverfymxmzfquzuhf
icbcpfakdkxfkahanfcijivfuqlqdfmynylfegpgtfworobf
pxuxkghfwfsgznynagrvavigjdcdqgblelyglbibogdjkjwg
vrmregnzozmgfhqhugxpspcgqyvylhigxgthaozobhswbwjh
kederhcmfmzhmcjcpheklkxhwsnsfhoapanhgirivhyqtqdh
rzwzmijhyhuibpapcitxcxkilfefsidngnaindkdqiflmlyi
xtotgipbqboihjsjwizrureisaxanjkizivjcqbqdjuydylj
mgfgtjeohobjoelerjgmnmzjyupuhjqcrcpjiktkxjasvsfj
tbybokljajwkdrcrekvzezmknhghukfpipckpfmfskhnonak
zvqvikrdsdqkjlulykbtwtgkuczcplmkbkxlesdsflwafanl
oihivlgqjqdlqgngtliopoblawrwjlseterlkmvmzlcuxuhl
vdadqmnlclymftetgmxbgbompjijwmhrkremrhohumjpqpcm
bxsxkmtfufsmlnwnamdvyvimwebernomdmzngufuhnychcpn
qkjkxnislsfnsipivnkqrqdncytylnugvgtnmoxobnewzwjn

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: webern
Cipher: jrorea

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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: webern
Cipher: 255121512433

Extended Methods:
Method #1

Plaintext: webern
method variations:
bkgkwsgpmpbxmurugcrzwzmh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
w e b e r n 
2 5 2 5 2 3 
5 1 1 1 4 3 
They are then read out in rows:
252523511143
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: webern
Cipher: wwmeao

Read more ...
Method #3

Plaintext: webern
method variations:
zfvfoh fvfohz vfohzf
fohzfv ohzfvf hzfvfo

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: webern

all 720 cipher variations:
webern webenr webren webrne webnre webner weebrn weebnr weerbn weernb weenrb
weenbr werebn werenb werben werbne wernbe werneb wenerb wenebr wenreb wenrbe
wenbre wenber wbeern wbeenr wberen wberne wbenre wbener wbeern wbeenr wberen
wberne wbenre wbener wbreen wbrene wbreen wbrene wbrnee wbrnee wbnere wbneer
wbnree wbnree wbnere wbneer webern webenr webren webrne webnre webner weebrn
weebnr weerbn weernb weenrb weenbr werebn werenb werben werbne wernbe werneb
wenerb wenebr wenreb wenrbe wenbre wenber wrbeen wrbene wrbeen wrbene wrbnee
wrbnee wreben wrebne wreebn wreenb wreneb wrenbe wreebn wreenb wreben wrebne
wrenbe wreneb wrneeb wrnebe wrneeb wrnebe wrnbee wrnbee wnbere wnbeer wnbree
wnbree wnbere wnbeer wnebre wneber wnerbe wnereb wneerb wneebr wnrebe wnreeb
wnrbee wnrbee wnrebe wnreeb wneerb wneebr wnereb wnerbe wnebre wneber ewbern
ewbenr ewbren ewbrne ewbnre ewbner ewebrn ewebnr ewerbn ewernb ewenrb ewenbr
ewrebn ewrenb ewrben ewrbne ewrnbe ewrneb ewnerb ewnebr ewnreb ewnrbe ewnbre
ewnber ebwern ebwenr ebwren ebwrne ebwnre ebwner ebewrn ebewnr eberwn ebernw
ebenrw ebenwr ebrewn ebrenw ebrwen ebrwne ebrnwe ebrnew ebnerw ebnewr ebnrew
ebnrwe ebnwre ebnwer eebwrn eebwnr eebrwn eebrnw eebnrw eebnwr eewbrn eewbnr
eewrbn eewrnb eewnrb eewnbr eerwbn eerwnb eerbwn eerbnw eernbw eernwb eenwrb
eenwbr eenrwb eenrbw eenbrw eenbwr erbewn erbenw erbwen erbwne erbnwe erbnew
erebwn erebnw erewbn erewnb erenwb erenbw erwebn erwenb erwben erwbne erwnbe
erwneb ernewb ernebw ernweb ernwbe ernbwe ernbew enberw enbewr enbrew enbrwe
enbwre enbwer enebrw enebwr enerbw enerwb enewrb enewbr enrebw enrewb enrbew
enrbwe enrwbe enrweb enwerb enwebr enwreb enwrbe enwbre enwber bewern bewenr
bewren bewrne bewnre bewner beewrn beewnr beerwn beernw beenrw beenwr berewn
berenw berwen berwne bernwe bernew benerw benewr benrew benrwe benwre benwer
bweern bweenr bweren bwerne bwenre bwener bweern bweenr bweren bwerne bwenre
bwener bwreen bwrene bwreen bwrene bwrnee bwrnee bwnere bwneer bwnree bwnree
bwnere bwneer bewern bewenr bewren bewrne bewnre bewner beewrn beewnr beerwn
beernw beenrw beenwr berewn berenw berwen berwne bernwe bernew benerw benewr
benrew benrwe benwre benwer brween brwene brween brwene brwnee brwnee brewen
brewne breewn breenw brenew brenwe breewn breenw brewen brewne brenwe brenew
brneew brnewe brneew brnewe brnwee brnwee bnwere bnweer bnwree bnwree bnwere
bnweer bnewre bnewer bnerwe bnerew bneerw bneewr bnrewe bnreew bnrwee bnrwee
bnrewe bnreew bneerw bneewr bnerew bnerwe bnewre bnewer eebwrn eebwnr eebrwn
eebrnw eebnrw eebnwr eewbrn eewbnr eewrbn eewrnb eewnrb eewnbr eerwbn eerwnb
eerbwn eerbnw eernbw eernwb eenwrb eenwbr eenrwb eenrbw eenbrw eenbwr ebewrn
ebewnr eberwn ebernw ebenrw ebenwr ebwern ebwenr ebwren ebwrne ebwnre ebwner
ebrwen ebrwne ebrewn ebrenw ebrnew ebrnwe ebnwre ebnwer ebnrwe ebnrew ebnerw
ebnewr ewbern ewbenr ewbren ewbrne ewbnre ewbner ewebrn ewebnr ewerbn ewernb
ewenrb ewenbr ewrebn ewrenb ewrben ewrbne ewrnbe ewrneb ewnerb ewnebr ewnreb
ewnrbe ewnbre ewnber erbwen erbwne erbewn erbenw erbnew erbnwe erwben erwbne
erwebn erwenb erwneb erwnbe erewbn erewnb erebwn erebnw erenbw erenwb ernweb
ernwbe ernewb ernebw ernbew ernbwe enbwre enbwer enbrwe enbrew enberw enbewr
enwbre enwber enwrbe enwreb enwerb enwebr enrwbe enrweb enrbwe enrbew enrebw
enrewb enewrb enewbr enerwb enerbw enebrw enebwr rebewn rebenw rebwen rebwne
rebnwe rebnew reebwn reebnw reewbn reewnb reenwb reenbw rewebn rewenb rewben
rewbne rewnbe rewneb renewb renebw renweb renwbe renbwe renbew rbeewn rbeenw
rbewen rbewne rbenwe rbenew rbeewn rbeenw rbewen rbewne rbenwe rbenew rbween
rbwene rbween rbwene rbwnee rbwnee rbnewe rbneew rbnwee rbnwee rbnewe rbneew
rebewn rebenw rebwen rebwne rebnwe rebnew reebwn reebnw reewbn reewnb reenwb
reenbw rewebn rewenb rewben rewbne rewnbe rewneb renewb renebw renweb renwbe
renbwe renbew rwbeen rwbene rwbeen rwbene rwbnee rwbnee rweben rwebne rweebn
rweenb rweneb rwenbe rweebn rweenb rweben rwebne rwenbe rweneb rwneeb rwnebe
rwneeb rwnebe rwnbee rwnbee rnbewe rnbeew rnbwee rnbwee rnbewe rnbeew rnebwe
rnebew rnewbe rneweb rneewb rneebw rnwebe rnweeb rnwbee rnwbee rnwebe rnweeb
rneewb rneebw rneweb rnewbe rnebwe rnebew neberw nebewr nebrew nebrwe nebwre
nebwer neebrw neebwr neerbw neerwb neewrb neewbr nerebw nerewb nerbew nerbwe
nerwbe nerweb newerb newebr newreb newrbe newbre newber nbeerw nbeewr nberew
nberwe nbewre nbewer nbeerw nbeewr nberew nberwe nbewre nbewer nbreew nbrewe
nbreew nbrewe nbrwee nbrwee nbwere nbweer nbwree nbwree nbwere nbweer neberw
nebewr nebrew nebrwe nebwre nebwer neebrw neebwr neerbw neerwb neewrb neewbr
nerebw nerewb nerbew nerbwe nerwbe nerweb newerb newebr newreb newrbe newbre
newber nrbeew nrbewe nrbeew nrbewe nrbwee nrbwee nrebew nrebwe nreebw nreewb
nreweb nrewbe nreebw nreewb nrebew nrebwe nrewbe nreweb nrweeb nrwebe nrweeb
nrwebe nrwbee nrwbee nwbere nwbeer nwbree nwbree nwbere nwbeer nwebre nweber
nwerbe nwereb nweerb nweebr nwrebe nwreeb nwrbee nwrbee nwrebe nwreeb nweerb
nweebr nwereb nwerbe nwebre nweber

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

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