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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: hodori
cipher variations:
ipepsj jqfqtk krgrul lshsvm mtitwn
nujuxo ovkvyp pwlwzq qxmxar rynybs
szozct tapadu ubqbev vcrcfw wdsdgx
xetehy yfufiz zgvgja ahwhkb bixilc
cjyjmd dkzkne elalof fmbmpg gncnqh

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: hodori
Cipher: slwlir

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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: hodori
Cipher: AABBB ABBAB AAABB ABBAB BAAAA ABAAA

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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: hodori
cipher variations:
ipepsjwrkrazktqtipyvwvqfmxcxyvazizglcdudwrqfafeh
ehghmxsjmjunglslcdunynktjqfqtkxslsbalurujqzwxwrg
nydyzwbajahmdevexsrgbgfifihinytknkvohmtmdevozolu
krgrulytmtcbmvsvkraxyxshozezaxcbkbinefwfytshchgj
gjijozulolwpinunefwpapmvlshsvmzunudcnwtwlsbyzyti
pafabydclcjofgxgzutidihkhkjkpavmpmxqjovofgxqbqnw
mtitwnavovedoxuxmtczazujqbgbczedmdkpghyhavujejil
ilklqbwnqnyrkpwpghyrcroxnujuxobwpwfepyvynudabavk
rchcdafenelqhizibwvkfkjmjmlmrcxorozslqxqhizsdspy
ovkvypcxqxgfqzwzovebcbwlsdidebgfofmrijajcxwlglkn
knmnsdypspatmryrijatetqzpwlwzqdyryhgraxapwfcdcxm
tejefchgpgnsjkbkdyxmhmlolonotezqtqbunszsjkbufura
qxmxarezszihsbybqxgdedynufkfgdihqhotklclezyninmp
mpopufarurcvotatklcvgvsbrynybsfatajitczcryhefezo
vglghejiripulmdmfazojonqnqpqvgbsvsdwpubulmdwhwtc
szozctgbubkjudadszifgfapwhmhifkjsjqvmnengbapkpor
orqrwhctwtexqvcvmnexixudtapaduhcvclkvebetajghgbq
xinijglktkrwnofohcbqlqpspsrsxiduxufyrwdwnofyjyve
ubqbevidwdmlwfcfubkhihcryjojkhmlulsxopgpidcrmrqt
qtstyjevyvgzsxexopgzkzwfvcrcfwjexenmxgdgvclijids
zkpklinmvmtypqhqjedsnsrurutuzkfwzwhatyfypqhalaxg
wdsdgxkfyfonyhehwdmjkjetalqlmjonwnuzqrirkfetotsv
svuvalgxaxibuzgzqribmbyhxetehylgzgpozifixenklkfu
bmrmnkpoxovarsjslgfuputwtwvwbmhybyjcvaharsjcnczi
yfufizmhahqpajgjyfolmlgvcnsnolqpypwbstktmhgvqvux
uxwxcnizczkdwbibstkdodajzgvgjanibirqbkhkzgpmnmhw
dotopmrqzqxctulunihwrwvyvyxydojadalexcjctulepebk
ahwhkbojcjsrclilahqnonixepupqnsraryduvmvojixsxwz
wzyzepkbebmfydkduvmfqfclbixilcpkdktsdmjmbiropojy
fqvqrotsbszevwnwpkjytyxaxazafqlcfcngzelevwngrgdm
cjyjmdqlelutenkncjspqpkzgrwrsputctafwxoxqlkzuzyb
ybabgrmdgdohafmfwxohshendkzknermfmvufolodktqrqla
hsxstqvudubgxypyrmlavazczcbchsnehepibgngxypitifo
elalofsngnwvgpmpelursrmbityturwvevchyzqzsnmbwbad
adcditofifqjchohyzqjujgpfmbmpgtohoxwhqnqfmvstsnc
juzuvsxwfwdizaratoncxcbebedejupgjgrkdipizarkvkhq
gncnqhupipyxirorgnwtutodkvavwtyxgxejabsbupodydcf
cfefkvqhkhslejqjabslwlirhodorivqjqzyjspshoxuvupe
lwbwxuzyhyfkbctcvqpezedgdgfglwrilitmfkrkbctmxmjs

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: hodori
Cipher: ubqbev

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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: hodori
Cipher: 324341432442

Extended Methods:
Method #1

Plaintext: hodori
method variations:
ntitwosyoybtxdtdgyciyimd

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
h o d o r i 
3 4 4 4 2 4 
2 3 1 3 4 2 
They are then read out in rows:
344424231342
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: hodori
Cipher: strmli

Read more ...
Method #3

Plaintext: hodori
method variations:
rsqhtm sqhtmr qhtmrs
htmrsq tmrsqh mrsqht

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: hodori

all 720 cipher variations:
hodori hodoir hodroi hodrio hodiro hodior hoodri hoodir hoordi hoorid hooird
hooidr horodi horoid hordoi hordio horido horiod hoiord hoiodr hoirod hoirdo
hoidro hoidor hdoori hdooir hdoroi hdorio hdoiro hdoior hdoori hdooir hdoroi
hdorio hdoiro hdoior hdrooi hdroio hdrooi hdroio hdrioo hdrioo hdioro hdioor
hdiroo hdiroo hdioro hdioor hodori hodoir hodroi hodrio hodiro hodior hoodri
hoodir hoordi hoorid hooird hooidr horodi horoid hordoi hordio horido horiod
hoiord hoiodr hoirod hoirdo hoidro hoidor hrdooi hrdoio hrdooi hrdoio hrdioo
hrdioo hrodoi hrodio hroodi hrooid hroiod hroido hroodi hrooid hrodoi hrodio
hroido hroiod hriood hriodo hriood hriodo hridoo hridoo hidoro hidoor hidroo
hidroo hidoro hidoor hiodro hiodor hiordo hiorod hioord hioodr hirodo hirood
hirdoo hirdoo hirodo hirood hioord hioodr hiorod hiordo hiodro hiodor ohdori
ohdoir ohdroi ohdrio ohdiro ohdior ohodri ohodir ohordi ohorid ohoird ohoidr
ohrodi ohroid ohrdoi ohrdio ohrido ohriod ohiord ohiodr ohirod ohirdo ohidro
ohidor odhori odhoir odhroi odhrio odhiro odhior odohri odohir odorhi odorih
odoirh odoihr odrohi odroih odrhoi odrhio odriho odrioh odiorh odiohr odiroh
odirho odihro odihor oodhri oodhir oodrhi oodrih oodirh oodihr oohdri oohdir
oohrdi oohrid oohird oohidr oorhdi oorhid oordhi oordih ooridh oorihd ooihrd
ooihdr ooirhd ooirdh ooidrh ooidhr ordohi ordoih ordhoi ordhio ordiho ordioh
orodhi orodih orohdi orohid oroihd oroidh orhodi orhoid orhdoi orhdio orhido
orhiod oriohd oriodh orihod orihdo oridho oridoh oidorh oidohr oidroh oidrho
oidhro oidhor oiodrh oiodhr oiordh oiorhd oiohrd oiohdr oirodh oirohd oirdoh
oirdho oirhdo oirhod oihord oihodr oihrod oihrdo oihdro oihdor dohori dohoir
dohroi dohrio dohiro dohior doohri doohir doorhi doorih dooirh dooihr dorohi
doroih dorhoi dorhio doriho dorioh doiorh doiohr doiroh doirho doihro doihor
dhoori dhooir dhoroi dhorio dhoiro dhoior dhoori dhooir dhoroi dhorio dhoiro
dhoior dhrooi dhroio dhrooi dhroio dhrioo dhrioo dhioro dhioor dhiroo dhiroo
dhioro dhioor dohori dohoir dohroi dohrio dohiro dohior doohri doohir doorhi
doorih dooirh dooihr dorohi doroih dorhoi dorhio doriho dorioh doiorh doiohr
doiroh doirho doihro doihor drhooi drhoio drhooi drhoio drhioo drhioo drohoi
drohio droohi drooih droioh droiho droohi drooih drohoi drohio droiho droioh
driooh drioho driooh drioho drihoo drihoo dihoro dihoor dihroo dihroo dihoro
dihoor diohro diohor diorho dioroh dioorh dioohr diroho dirooh dirhoo dirhoo
diroho dirooh dioorh dioohr dioroh diorho diohro diohor oodhri oodhir oodrhi
oodrih oodirh oodihr oohdri oohdir oohrdi oohrid oohird oohidr oorhdi oorhid
oordhi oordih ooridh oorihd ooihrd ooihdr ooirhd ooirdh ooidrh ooidhr odohri
odohir odorhi odorih odoirh odoihr odhori odhoir odhroi odhrio odhiro odhior
odrhoi odrhio odrohi odroih odrioh odriho odihro odihor odirho odiroh odiorh
odiohr ohdori ohdoir ohdroi ohdrio ohdiro ohdior ohodri ohodir ohordi ohorid
ohoird ohoidr ohrodi ohroid ohrdoi ohrdio ohrido ohriod ohiord ohiodr ohirod
ohirdo ohidro ohidor ordhoi ordhio ordohi ordoih ordioh ordiho orhdoi orhdio
orhodi orhoid orhiod orhido orohdi orohid orodhi orodih oroidh oroihd orihod
orihdo oriohd oriodh oridoh oridho oidhro oidhor oidrho oidroh oidorh oidohr
oihdro oihdor oihrdo oihrod oihord oihodr oirhdo oirhod oirdho oirdoh oirodh
oirohd oiohrd oiohdr oiorhd oiordh oiodrh oiodhr rodohi rodoih rodhoi rodhio
rodiho rodioh roodhi roodih roohdi roohid rooihd rooidh rohodi rohoid rohdoi
rohdio rohido rohiod roiohd roiodh roihod roihdo roidho roidoh rdoohi rdooih
rdohoi rdohio rdoiho rdoioh rdoohi rdooih rdohoi rdohio rdoiho rdoioh rdhooi
rdhoio rdhooi rdhoio rdhioo rdhioo rdioho rdiooh rdihoo rdihoo rdioho rdiooh
rodohi rodoih rodhoi rodhio rodiho rodioh roodhi roodih roohdi roohid rooihd
rooidh rohodi rohoid rohdoi rohdio rohido rohiod roiohd roiodh roihod roihdo
roidho roidoh rhdooi rhdoio rhdooi rhdoio rhdioo rhdioo rhodoi rhodio rhoodi
rhooid rhoiod rhoido rhoodi rhooid rhodoi rhodio rhoido rhoiod rhiood rhiodo
rhiood rhiodo rhidoo rhidoo ridoho ridooh ridhoo ridhoo ridoho ridooh riodho
riodoh riohdo riohod rioohd rioodh rihodo rihood rihdoo rihdoo rihodo rihood
rioohd rioodh riohod riohdo riodho riodoh iodorh iodohr iodroh iodrho iodhro
iodhor ioodrh ioodhr ioordh ioorhd ioohrd ioohdr iorodh iorohd iordoh iordho
iorhdo iorhod iohord iohodr iohrod iohrdo iohdro iohdor idoorh idoohr idoroh
idorho idohro idohor idoorh idoohr idoroh idorho idohro idohor idrooh idroho
idrooh idroho idrhoo idrhoo idhoro idhoor idhroo idhroo idhoro idhoor iodorh
iodohr iodroh iodrho iodhro iodhor ioodrh ioodhr ioordh ioorhd ioohrd ioohdr
iorodh iorohd iordoh iordho iorhdo iorhod iohord iohodr iohrod iohrdo iohdro
iohdor irdooh irdoho irdooh irdoho irdhoo irdhoo irodoh irodho iroodh iroohd
irohod irohdo iroodh iroohd irodoh irodho irohdo irohod irhood irhodo irhood
irhodo irhdoo irhdoo ihdoro ihdoor ihdroo ihdroo ihdoro ihdoor ihodro ihodor
ihordo ihorod ihoord ihoodr ihrodo ihrood ihrdoo ihrdoo ihrodo ihrood ihoord
ihoodr ihorod ihordo ihodro ihodor

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

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