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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: ulluco
cipher variations:
vmmvdp wnnweq xooxfr yppygs zqqzht
arraiu bssbjv cttckw duudlx evvemy
fwwfnz gxxgoa hyyhpb izziqc jaajrd
kbbkse lccltf mddmug neenvh offowi
pggpxj qhhqyk riirzl sjjsam tkktbn

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: ulluco
Cipher: foofxl

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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: ulluco
Cipher: BAABB ABABA ABABA BAABB AAABA 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: ulluco
cipher variations:
vmmvdpjiijhrxeexltlaalpvzwwztxnssnxzpkkpfddggdjf
rccrnhfyyfrjtuutvlhqqhznwnnweqkjjkisyffymumbbmqw
axxauyottoyaqllqgeehhekgsddsoigzzgskuvvuwmirriao
xooxfrlkkljtzggznvnccnrxbyybvzpuupzbrmmrhffiiflh
teetpjhaahtlvwwvxnjssjbpyppygsmllmkuahhaowoddosy
czzcwaqvvqacsnnsiggjjgmiuffuqkibbiumwxxwyokttkcq
zqqzhtnmmnlvbiibpxpeeptzdaadxbrwwrbdtootjhhkkhnj
vggvrljccjvnxyyxzpluuldrarraiuonnomwcjjcqyqffqua
ebbeycsxxsceuppukiilliokwhhwsmkddkwoyzzyaqmvvmes
bssbjvpoopnxdkkdrzrggrvbfccfzdtyytdfvqqvljjmmjpl
xiixtnleelxpzaazbrnwwnftcttckwqppqoyellesashhswc
gddgaeuzzuegwrrwmkknnkqmyjjyuomffmyqabbacsoxxogu
duudlxrqqrpzfmmftbtiitxdheehbfvaavfhxssxnlloolrn
zkkzvpnggnzrbccbdtpyyphvevvemysrrsqagnngucujjuye
ifficgwbbwgiyttyommppmsoallawqohhoascddceuqzzqiw
fwwfnztsstrbhoohvdvkkvzfjggjdhxccxhjzuuzpnnqqntp
bmmbxrpiipbtdeedfvraarjxgxxgoauttuscippiwewllwag
khhkeiyddyikavvaqoorrouqcnncysqjjqcueffegwsbbsky
hyyhpbvuuvtdjqqjxfxmmxbhliilfjzeezjlbwwbrppsspvr
doodztrkkrdvfggfhxtcctlzizziqcwvvwuekrrkygynnyci
mjjmgkaffakmcxxcsqqttqwseppeausllsewghhgiyudduma
jaajrdxwwxvflsslzhzoozdjnkknhlbggblndyydtrruurxt
fqqfbvtmmtfxhiihjzveevnbkbbkseyxxywgmttmaiappaek
olloimchhcmoezzeussvvsyugrrgcwunnugyijjikawffwoc
lccltfzyyzxhnuunbjbqqbflpmmpjndiidnpfaafvttwwtzv
hsshdxvoovhzjkkjlbxggxpdmddmugazzayiovvockcrrcgm
qnnqkoejjeoqgbbgwuuxxuawittieywppwiakllkmcyhhyqe
neenvhbaabzjpwwpdldssdhnroorlpfkkfprhcchxvvyyvbx
juujfzxqqxjblmmlndziizrfoffowicbbcakqxxqemetteio
sppsmqgllgqsiddiywwzzwcykvvkgayrrykcmnnmoeajjasg
pggpxjdccdblryyrfnfuufjptqqtnrhmmhrtjeejzxxaaxdz
lwwlhbzsszldnoonpfbkkbthqhhqykeddecmszzsgogvvgkq
urruosinnisukffkayybbyeamxxmicattameoppoqgcllcui
riirzlfeefdntaathphwwhlrvssvptjoojtvlgglbzzcczfb
nyynjdbuubnfpqqprhdmmdvjsjjsamgffgeoubbuiqixxims
wttwqukppkuwmhhmcaaddagcozzokecvvcogqrrqsiennewk
tkktbnhgghfpvccvjrjyyjntxuuxrvlqqlvxniindbbeebhd
paaplfdwwdphrssrtjfoofxlullucoihhigqwddwkskzzkou
yvvyswmrrmwyojjoeccffcieqbbqmgexxeqisttsukgppgym

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: ulluco
Cipher: hyyhpb

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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: ulluco
Cipher: 541313543143

Extended Methods:
Method #1

Plaintext: ulluco
method variations:
zqqzhtevvenykaaksdpffpxi

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
u l l u c o 
5 1 1 5 3 4 
4 3 3 4 1 3 
They are then read out in rows:
511534433413
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: ulluco
Cipher: evsosl

Read more ...
Method #3

Plaintext: ulluco
method variations:
dcxoqx cxoqxd xoqxdc
oqxdcx qxdcxo xdcxoq

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: ulluco

all 720 cipher variations:
ulluco ulluoc ullcuo ullcou ullocu ullouc ululco ululoc uluclo ulucol uluocl
uluolc ulculo ulcuol ulcluo ulclou ulcolu ulcoul uloucl uloulc ulocul uloclu
ulolcu uloluc ulluco ulluoc ullcuo ullcou ullocu ullouc ululco ululoc uluclo
ulucol uluocl uluolc ulculo ulcuol ulcluo ulclou ulcolu ulcoul uloucl uloulc
ulocul uloclu ulolcu uloluc uullco uulloc uulclo uulcol uulocl uulolc uullco
uulloc uulclo uulcol uulocl uulolc uucllo uuclol uucllo uuclol uucoll uucoll
uuolcl uuollc uuocll uuocll uuolcl uuollc uclulo ucluol uclluo ucllou uclolu
ucloul ucullo uculol ucullo uculol ucuoll ucuoll uclulo ucluol uclluo ucllou
uclolu ucloul ucoull ucoull ucolul ucollu ucollu ucolul uolucl uolulc uolcul
uolclu uollcu uolluc uoulcl uoullc uoucll uoucll uoulcl uoullc uocull uocull
uoclul uocllu uocllu uoclul uolucl uolulc uolcul uolclu uollcu uolluc luluco
luluoc lulcuo lulcou lulocu lulouc luulco luuloc luuclo luucol luuocl luuolc
luculo lucuol lucluo luclou lucolu lucoul luoucl luoulc luocul luoclu luolcu
luoluc lluuco lluuoc llucuo llucou lluocu lluouc lluuco lluuoc llucuo llucou
lluocu lluouc llcuuo llcuou llcuuo llcuou llcouu llcouu lloucu llouuc llocuu
llocuu lloucu llouuc luluco luluoc lulcuo lulcou lulocu lulouc luulco luuloc
luuclo luucol luuocl luuolc luculo lucuol lucluo luclou lucolu lucoul luoucl
luoulc luocul luoclu luolcu luoluc lcluuo lcluou lcluuo lcluou lclouu lclouu
lculuo lculou lcuulo lcuuol lcuoul lcuolu lcuulo lcuuol lculuo lculou lcuolu
lcuoul lcouul lcoulu lcouul lcoulu lcoluu lcoluu lolucu loluuc lolcuu lolcuu
lolucu loluuc loulcu louluc louclu loucul louucl louulc loculu locuul locluu
locluu loculu locuul louucl louulc loucul louclu loulcu louluc lluuco lluuoc
llucuo llucou lluocu lluouc lluuco lluuoc llucuo llucou lluocu lluouc llcuuo
llcuou llcuuo llcuou llcouu llcouu lloucu llouuc llocuu llocuu lloucu llouuc
luluco luluoc lulcuo lulcou lulocu lulouc luulco luuloc luuclo luucol luuocl
luuolc luculo lucuol lucluo luclou lucolu lucoul luoucl luoulc luocul luoclu
luolcu luoluc luulco luuloc luuclo luucol luuocl luuolc luluco luluoc lulcuo
lulcou lulocu lulouc lucluo luclou luculo lucuol lucoul lucolu luolcu luoluc
luoclu luocul luoucl luoulc lcuulo lcuuol lculuo lculou lcuolu lcuoul lcuulo
lcuuol lculuo lculou lcuolu lcuoul lcluuo lcluou lcluuo lcluou lclouu lclouu
lcoulu lcouul lcoluu lcoluu lcoulu lcouul louucl louulc loucul louclu loulcu
louluc louucl louulc loucul louclu loulcu louluc locuul loculu locuul loculu
locluu locluu lolucu loluuc lolcuu lolcuu lolucu loluuc ulluco ulluoc ullcuo
ullcou ullocu ullouc ululco ululoc uluclo ulucol uluocl uluolc ulculo ulcuol
ulcluo ulclou ulcolu ulcoul uloucl uloulc ulocul uloclu ulolcu uloluc ulluco
ulluoc ullcuo ullcou ullocu ullouc ululco ululoc uluclo ulucol uluocl uluolc
ulculo ulcuol ulcluo ulclou ulcolu ulcoul uloucl uloulc ulocul uloclu ulolcu
uloluc uullco uulloc uulclo uulcol uulocl uulolc uullco uulloc uulclo uulcol
uulocl uulolc uucllo uuclol uucllo uuclol uucoll uucoll uuolcl uuollc uuocll
uuocll uuolcl uuollc uclulo ucluol uclluo ucllou uclolu ucloul ucullo uculol
ucullo uculol ucuoll ucuoll uclulo ucluol uclluo ucllou uclolu ucloul ucoull
ucoull ucolul ucollu ucollu ucolul uolucl uolulc uolcul uolclu uollcu uolluc
uoulcl uoullc uoucll uoucll uoulcl uoullc uocull uocull uoclul uocllu uocllu
uoclul uolucl uolulc uolcul uolclu uollcu uolluc clluuo clluou clluuo clluou
cllouu cllouu cluluo clulou cluulo cluuol cluoul cluolu cluulo cluuol cluluo
clulou cluolu cluoul clouul cloulu clouul cloulu cloluu cloluu clluuo clluou
clluuo clluou cllouu cllouu cluluo clulou cluulo cluuol cluoul cluolu cluulo
cluuol cluluo clulou cluolu cluoul clouul cloulu clouul cloulu cloluu cloluu
culluo cullou cululo culuol culoul culolu culluo cullou cululo culuol culoul
culolu cuullo cuulol cuullo cuulol cuuoll cuuoll cuolul cuollu cuoull cuoull
cuolul cuollu cululo culuol culluo cullou culolu culoul cuullo cuulol cuullo
cuulol cuuoll cuuoll cululo culuol culluo cullou culolu culoul cuoull cuoull
cuolul cuollu cuollu cuolul coluul colulu coluul colulu colluu colluu coulul
coullu couull couull coulul coullu couull couull coulul coullu coullu coulul
coluul colulu coluul colulu colluu colluu ollucu olluuc ollcuu ollcuu ollucu
olluuc olulcu oluluc oluclu olucul oluucl oluulc olculu olcuul olcluu olcluu
olculu olcuul oluucl oluulc olucul oluclu olulcu oluluc ollucu olluuc ollcuu
ollcuu ollucu olluuc olulcu oluluc oluclu olucul oluucl oluulc olculu olcuul
olcluu olcluu olculu olcuul oluucl oluulc olucul oluclu olulcu oluluc oullcu
oulluc oulclu oulcul oulucl oululc oullcu oulluc oulclu oulcul oulucl oululc
oucllu ouclul oucllu ouclul oucull oucull ouulcl ouullc ouucll ouucll ouulcl
ouullc oclulu ocluul oclluu oclluu oclulu ocluul ocullu oculul ocullu oculul
ocuull ocuull oclulu ocluul oclluu oclluu oclulu ocluul ocuull ocuull oculul
ocullu ocullu oculul oulucl oululc oulcul oulclu oullcu oulluc ouulcl ouullc
ouucll ouucll ouulcl ouullc oucull oucull ouclul oucllu oucllu ouclul oulucl
oululc oulcul oulclu oullcu oulluc

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