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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: mulloo
cipher variations:
nvmmpp ownnqq pxoorr qyppss rzqqtt
sarruu tbssvv ucttww vduuxx wevvyy
xfwwzz ygxxaa zhyybb aizzcc bjaadd
ckbbee dlccff emddgg fneehh goffii
hpggjj iqhhkk jriill ksjjmm ltkknn

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: mulloo
Cipher: nfooll

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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: mulloo
Cipher: ABABB BAABB ABABA ABABA ABBAB ABBAB

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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: mulloo
cipher variations:
nvmmppljiirrjxeetthlaavvfzwwxxdnsszzzpkkddxdggff
vrcchhtfyyjjrtuullphqqnnownnqqmkjjsskyffuuimbbww
gaxxyyeottaaaqlleeyehhggwsddiiugzzkksuvvmmqirroo
pxoorrnlkkttlzggvvjnccxxhbyyzzfpuubbbrmmffzfiihh
xteejjvhaalltvwwnnrjssppqyppssomlluumahhwwkoddyy
iczzaagqvvcccsnnggagjjiiyuffkkwibbmmuwxxooskttqq
rzqqttpnmmvvnbiixxlpeezzjdaabbhrwwdddtoohhbhkkjj
zvggllxjccnnvxyypptluurrsarruuqonnwwocjjyymqffaa
kebbccisxxeeeuppiicillkkawhhmmykddoowyzzqqumvvss
tbssvvrpooxxpdkkzznrggbblfccddjtyyfffvqqjjdjmmll
bxiinnzleeppxzaarrvnwwttucttwwsqppyyqellaaoshhcc
mgddeekuzzgggwrrkkeknnmmcyjjooamffqqyabbsswoxxuu
vduuxxtrqqzzrfmmbbptiiddnheefflvaahhhxssllfloonn
dzkkppbnggrrzbccttxpyyvvwevvyyusrraasgnnccqujjee
oiffggmwbbiiiyttmmgmppooeallqqcohhssacdduuyqzzww
xfwwzzvtssbbthooddrvkkffpjgghhnxccjjjzuunnhnqqpp
fbmmrrdpiittbdeevvzraaxxygxxaawuttccuippeeswllgg
qkhhiioyddkkkavvooiorrqqgcnnsseqjjuuceffwwasbbyy
zhyybbxvuuddvjqqfftxmmhhrliijjpzeelllbwwppjpssrr
hdoottfrkkvvdfggxxbtcczzaizzccywvveewkrrgguynnii
smjjkkqaffmmmcxxqqkqttssieppuugsllwweghhyycuddaa
bjaaddzxwwffxlsshhvzoojjtnkkllrbggnnndyyrrlruutt
jfqqvvhtmmxxfhiizzdveebbckbbeeayxxggymttiiwappkk
uollmmschhoooezzssmsvvuukgrrwwiunnyygijjaaewffcc
dlccffbzyyhhznuujjxbqqllvpmmnntdiipppfaattntwwvv
lhssxxjvoozzhjkkbbfxggddemddggcazziiaovvkkycrrmm
wqnnoouejjqqqgbbuuouxxwwmittyykwppaaikllccgyhhee
fneehhdbaajjbpwwllzdssnnxrooppvfkkrrrhccvvpvyyxx
njuuzzlxqqbbjlmmddhziiffgoffiiecbbkkcqxxmmaettoo
ysppqqwgllsssiddwwqwzzyyokvvaamyrrcckmnneeiajjgg
hpggjjfdcclldryynnbfuuppztqqrrxhmmtttjeexxrxaazz
plwwbbnzssddlnooffjbkkhhiqhhkkgeddmmeszzoocgvvqq
aurrssyinnuuukffyysybbaaqmxxccoatteemoppggkcllii
jriillhfeennftaappdhwwrrbvssttzjoovvvlggzztzccbb
rnyyddpbuuffnpqqhhldmmjjksjjmmigffoogubbqqeixxss
cwttuuakppwwwmhhaauaddccsozzeeqcvvggoqrriimennkk
ltkknnjhggpphvccrrfjyyttdxuuvvblqqxxxniibbvbeedd
tpaaffrdwwhhprssjjnfoollmullookihhqqiwddssgkzzuu
eyvvwwcmrryyyojjccwcffeeuqbbggsexxiiqsttkkogppmm

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: mulloo
Cipher: zhyybb

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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: mulloo
Cipher: 235413134343

Extended Methods:
Method #1

Plaintext: mulloo
method variations:
rzqqttwevvyybkaaddgpffii

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m u l l o o 
2 5 1 1 4 4 
3 4 3 3 3 3 
They are then read out in rows:
251144343333
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: mulloo
Cipher: watsnn

Read more ...
Method #3

Plaintext: mulloo
method variations:
xdcssh dcsshx csshxd
sshxdc shxdcs hxdcss

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: mulloo

all 720 cipher variations:
mulloo mulloo mulolo mulool mulool mulolo mulloo mulloo mulolo mulool mulool
mulolo muollo muolol muollo muolol muooll muooll muolol muollo muooll muooll
muolol muollo mluloo mluloo mluolo mluool mluool mluolo mlluoo mlluoo mllouo
mlloou mlloou mllouo mloluo mlolou mloulo mlouol mlooul mloolu mlolou mloluo
mloolu mlooul mlouol mloulo mlluoo mlluoo mllouo mlloou mlloou mllouo mluloo
mluloo mluolo mluool mluool mluolo mloulo mlouol mloluo mlolou mloolu mlooul
mlouol mloulo mlooul mloolu mlolou mloluo molluo mollou molulo moluol moloul
mololu molluo mollou molulo moluol moloul mololu moullo moulol moullo moulol
mouoll mouoll moolul moollu mooull mooull moolul moollu mollou molluo mololu
moloul moluol molulo mollou molluo mololu moloul moluol molulo moollu moolul
moollu moolul mooull mooull moulol moullo mouoll mouoll moulol moullo umlloo
umlloo umlolo umlool umlool umlolo umlloo umlloo umlolo umlool umlool umlolo
umollo umolol umollo umolol umooll umooll umolol umollo umooll umooll umolol
umollo ulmloo ulmloo ulmolo ulmool ulmool ulmolo ullmoo ullmoo ullomo ulloom
ulloom ullomo ulolmo ulolom ulomlo ulomol ulooml uloolm ulolom ulolmo uloolm
ulooml ulomol ulomlo ullmoo ullmoo ullomo ulloom ulloom ullomo ulmloo ulmloo
ulmolo ulmool ulmool ulmolo ulomlo ulomol ulolmo ulolom uloolm ulooml ulomol
ulomlo ulooml uloolm ulolom ulolmo uollmo uollom uolmlo uolmol uoloml uololm
uollmo uollom uolmlo uolmol uoloml uololm uomllo uomlol uomllo uomlol uomoll
uomoll uoolml uoollm uoomll uoomll uoolml uoollm uollom uollmo uololm uoloml
uolmol uolmlo uollom uollmo uololm uoloml uolmol uolmlo uoollm uoolml uoollm
uoolml uoomll uoomll uomlol uomllo uomoll uomoll uomlol uomllo lumloo lumloo
lumolo lumool lumool lumolo lulmoo lulmoo lulomo luloom luloom lulomo luolmo
luolom luomlo luomol luooml luoolm luolom luolmo luoolm luooml luomol luomlo
lmuloo lmuloo lmuolo lmuool lmuool lmuolo lmluoo lmluoo lmlouo lmloou lmloou
lmlouo lmoluo lmolou lmoulo lmouol lmooul lmoolu lmolou lmoluo lmoolu lmooul
lmouol lmoulo llmuoo llmuoo llmouo llmoou llmoou llmouo llumoo llumoo lluomo
lluoom lluoom lluomo lloumo llouom llomuo llomou lloomu llooum llouom lloumo
llooum lloomu llomou llomuo lomluo lomlou lomulo lomuol lomoul lomolu lolmuo
lolmou lolumo loluom loloum lolomu loulmo loulom loumlo loumol louoml louolm
loolum loolmu looulm loouml loomul loomlu lomlou lomluo lomolu lomoul lomuol
lomulo lolmou lolmuo lolomu loloum loluom lolumo loolmu loolum loomlu loomul
loouml looulm loulom loulmo louolm louoml loumol loumlo lulmoo lulmoo lulomo
luloom luloom lulomo lumloo lumloo lumolo lumool lumool lumolo luomlo luomol
luolmo luolom luoolm luooml luomol luomlo luooml luoolm luolom luolmo llumoo
llumoo lluomo lluoom lluoom lluomo llmuoo llmuoo llmouo llmoou llmoou llmouo
llomuo llomou lloumo llouom llooum lloomu llomou llomuo lloomu llooum llouom
lloumo lmluoo lmluoo lmlouo lmloou lmloou lmlouo lmuloo lmuloo lmuolo lmuool
lmuool lmuolo lmoulo lmouol lmoluo lmolou lmoolu lmooul lmouol lmoulo lmooul
lmoolu lmolou lmoluo lolmuo lolmou lolumo loluom loloum lolomu lomluo lomlou
lomulo lomuol lomoul lomolu loumlo loumol loulmo loulom louolm louoml loomul
loomlu loouml looulm loolum loolmu lolmou lolmuo lolomu loloum loluom lolumo
lomlou lomluo lomolu lomoul lomuol lomulo loomlu loomul loolmu loolum looulm
loouml loumol loumlo louoml louolm loulom loulmo oullmo oullom oulmlo oulmol
ouloml oulolm oullmo oullom oulmlo oulmol ouloml oulolm oumllo oumlol oumllo
oumlol oumoll oumoll ouolml ouollm ouomll ouomll ouolml ouollm olulmo olulom
olumlo olumol oluoml oluolm ollumo olluom ollmuo ollmou ollomu olloum olmluo
olmlou olmulo olmuol olmoul olmolu ololmu ololum olomlu olomul olouml oloulm
ollumo olluom ollmuo ollmou ollomu olloum olulmo olulom olumlo olumol oluoml
oluolm olmulo olmuol olmluo olmlou olmolu olmoul olouml oloulm olomul olomlu
ololmu ololum omlluo omllou omlulo omluol omloul omlolu omlluo omllou omlulo
omluol omloul omlolu omullo omulol omullo omulol omuoll omuoll omolul omollu
omoull omoull omolul omollu oollmu oollum oolmlu oolmul ooluml oolulm oollmu
oollum oolmlu oolmul ooluml oolulm oomllu oomlul oomllu oomlul oomull oomull
ooulml ooullm ooumll ooumll ooulml ooullm oullom oullmo oulolm ouloml oulmol
oulmlo oullom oullmo oulolm ouloml oulmol oulmlo ouollm ouolml ouollm ouolml
ouomll ouomll oumlol oumllo oumoll oumoll oumlol oumllo olulom olulmo oluolm
oluoml olumol olumlo olluom ollumo olloum ollomu ollmou ollmuo ololum ololmu
oloulm olouml olomul olomlu olmlou olmluo olmolu olmoul olmuol olmulo olluom
ollumo olloum ollomu ollmou ollmuo olulom olulmo oluolm oluoml olumol olumlo
oloulm olouml ololum ololmu olomlu olomul olmuol olmulo olmoul olmolu olmlou
olmluo oollum oollmu oolulm ooluml oolmul oolmlu oollum oollmu oolulm ooluml
oolmul oolmlu ooullm ooulml ooullm ooulml ooumll ooumll oomlul oomllu oomull
oomull oomlul oomllu omllou omlluo omlolu omloul omluol omlulo omllou omlluo
omlolu omloul omluol omlulo omollu omolul omollu omolul omoull omoull omulol
omullo omuoll omuoll omulol omullo

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