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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: pipilo
cipher variations:
qjqjmp rkrknq slslor tmtmps ununqt
vovoru wpwpsv xqxqtw yryrux zszsvy
atatwz bubuxa cvcvyb dwdwzc exexad
fyfybe gzgzcf hahadg ibibeh jcjcfi
kdkdgj lelehk mfmfil ngngjm ohohkn

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: pipilo
Cipher: krkrol

Read more ...

 

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: pipilo
Cipher: ABBBA ABAAA ABBBA ABAAA ABABA 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: pipilo
cipher variations:
qjqjmpuzuzirypypetcfcfavgvgvwxklklszsrsrkdwhwhgf
axaxchenenyjididulmtmtqnrkrknqvavajszqzqfudgdgbw
hwhwxylmlmtatstslexixihgbybydifofozkjejevmnunuro
slslorwbwbktarargvehehcxixixyzmnmnubututmfyjyjih
czczejgpgpalkfkfwnovovsptmtmpsxcxclubsbshwfifidy
jyjyzanonovcvuvungzkzkjidadafkhqhqbmlglgxopwpwtq
ununqtydydmvctctixgjgjezkzkzabopopwdwvwvohalalkj
ebebglirircnmhmhypqxqxurvovoruzezenwdudujyhkhkfa
lalabcpqpqxexwxwpibmbmlkfcfchmjsjsdoninizqryryvs
wpwpsvafafoxevevkzililgbmbmbcdqrqryfyxyxqjcncnml
gdgdinktktepojojarszszwtxqxqtwbgbgpyfwfwlajmjmhc
ncncdersrszgzyzyrkdodonmhehejolulufqpkpkbstataxu
yryruxchchqzgxgxmbknknidododefststahazazslepepon
ififkpmvmvgrqlqlctububyvzszsvydidirahyhyncloloje
pepefgtutubibabatmfqfqpojgjglqnwnwhsrmrmduvcvczw
atatwzejejsbizizodmpmpkfqfqfghuvuvcjcbcbungrgrqp
khkhmroxoxitsnsnevwdwdaxbubuxafkfktcjajapenqnqlg
rgrghivwvwdkdcdcvohshsrqlilinspypyjutotofwxexeby
cvcvybglgludkbkbqforormhshshijwxwxelededwpititsr
mjmjotqzqzkvupupgxyfyfczdwdwzchmhmvelclcrgpspsni
titijkxyxyfmfefexqjujutsnknkpuraralwvqvqhyzgzgda
exexadininwfmdmdshqtqtojujujklyzyzgngfgfyrkvkvut
ololqvsbsbmxwrwrizahahebfyfybejojoxgnenetirurupk
vkvklmzazahohghgzslwlwvupmpmrwtctcnyxsxsjabibifc
gzgzcfkpkpyhofofujsvsvqlwlwlmnababipihihatmxmxwv
qnqnsxududozytytkbcjcjgdhahadglqlqzipgpgvktwtwrm
xmxmnobcbcjqjijibunynyxwrorotyvevepazuzulcdkdkhe
ibibehmrmrajqhqhwluxuxsnynynopcdcdkrkjkjcvozozyx
spspuzwfwfqbavavmdelelifjcjcfinsnsbkririxmvyvyto
zozopqdedelslklkdwpapazytqtqvaxgxgrcbwbwnefmfmjg
kdkdgjototclsjsjynwzwzupapapqrefefmtmlmlexqbqbaz
ururwbyhyhsdcxcxofgngnkhlelehkpupudmtktkzoxaxavq
bqbqrsfgfgnunmnmfyrcrcbavsvsxczizitedydypghoholi
mfmfilqvqvenululapybybwrcrcrstghghovonongzsdsdcb
wtwtydajajufezezqhipipmjngngjmrwrwfovmvmbqzczcxs
dsdstuhihipwpopohatetedcxuxuzebkbkvgfafarijqjqnk
ohohknsxsxgpwnwncradadytetetuvijijqxqpqpibufufed
yvyvafclclwhgbgbsjkrkrolpipilotytyhqxoxodsbebezu
fufuvwjkjkryrqrqjcvgvgfezwzwbgdmdmxihchctklslspm

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,

Read more ...

 

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: pipilo
Cipher: cvcvyb

Read more ...

 

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: pipilo
Cipher: 534253421343

Extended Methods:
Method #1

Plaintext: pipilo
method variations:
uouoqtztztvyeyeyadkdkdfi

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
p i p i l o 
5 4 5 4 1 4 
3 2 3 2 3 3 
They are then read out in rows:
545414323233
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: pipilo
Cipher: uuqhhn

Read more ...
Method #3

Plaintext: pipilo
method variations:
swsbsx wsbsxs sbsxsw
bsxsws sxswsb xswsbs

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: pipilo

all 720 cipher variations:
pipilo pipiol piplio piploi pipoli pipoil piiplo piipol piilpo piilop piiolp
piiopl pilipo piliop pilpio pilpoi pilopi piloip pioilp pioipl piolip piolpi
piopli piopil ppiilo ppiiol ppilio ppiloi ppioli ppioil ppiilo ppiiol ppilio
ppiloi ppioli ppioil ppliio pplioi ppliio pplioi pploii pploii ppoili ppoiil
ppolii ppolii ppoili ppoiil pipilo pipiol piplio piploi pipoli pipoil piiplo
piipol piilpo piilop piiolp piiopl pilipo piliop pilpio pilpoi pilopi piloip
pioilp pioipl piolip piolpi piopli piopil plpiio plpioi plpiio plpioi plpoii
plpoii plipio plipoi pliipo pliiop plioip pliopi pliipo pliiop plipio plipoi
pliopi plioip ploiip ploipi ploiip ploipi plopii plopii popili popiil poplii
poplii popili popiil poipli poipil poilpi poilip poiilp poiipl polipi poliip
polpii polpii polipi poliip poiilp poiipl poilip poilpi poipli poipil ippilo
ippiol ipplio ipploi ippoli ippoil ipiplo ipipol ipilpo ipilop ipiolp ipiopl
iplipo ipliop iplpio iplpoi iplopi iploip ipoilp ipoipl ipolip ipolpi ipopli
ipopil ippilo ippiol ipplio ipploi ippoli ippoil ipiplo ipipol ipilpo ipilop
ipiolp ipiopl iplipo ipliop iplpio iplpoi iplopi iploip ipoilp ipoipl ipolip
ipolpi ipopli ipopil iipplo iippol iiplpo iiplop iipolp iipopl iipplo iippol
iiplpo iiplop iipolp iipopl iilppo iilpop iilppo iilpop iilopp iilopp iioplp
iioppl iiolpp iiolpp iioplp iioppl ilpipo ilpiop ilppio ilppoi ilpopi ilpoip
ilippo ilipop ilippo ilipop iliopp iliopp ilpipo ilpiop ilppio ilppoi ilpopi
ilpoip iloipp iloipp ilopip iloppi iloppi ilopip iopilp iopipl ioplip ioplpi
ioppli ioppil ioiplp ioippl ioilpp ioilpp ioiplp ioippl iolipp iolipp iolpip
iolppi iolppi iolpip iopilp iopipl ioplip ioplpi ioppli ioppil pipilo pipiol
piplio piploi pipoli pipoil piiplo piipol piilpo piilop piiolp piiopl pilipo
piliop pilpio pilpoi pilopi piloip pioilp pioipl piolip piolpi piopli piopil
ppiilo ppiiol ppilio ppiloi ppioli ppioil ppiilo ppiiol ppilio ppiloi ppioli
ppioil ppliio pplioi ppliio pplioi pploii pploii ppoili ppoiil ppolii ppolii
ppoili ppoiil pipilo pipiol piplio piploi pipoli pipoil piiplo piipol piilpo
piilop piiolp piiopl pilipo piliop pilpio pilpoi pilopi piloip pioilp pioipl
piolip piolpi piopli piopil plpiio plpioi plpiio plpioi plpoii plpoii plipio
plipoi pliipo pliiop plioip pliopi pliipo pliiop plipio plipoi pliopi plioip
ploiip ploipi ploiip ploipi plopii plopii popili popiil poplii poplii popili
popiil poipli poipil poilpi poilip poiilp poiipl polipi poliip polpii polpii
polipi poliip poiilp poiipl poilip poilpi poipli poipil iipplo iippol iiplpo
iiplop iipolp iipopl iipplo iippol iiplpo iiplop iipolp iipopl iilppo iilpop
iilppo iilpop iilopp iilopp iioplp iioppl iiolpp iiolpp iioplp iioppl ipiplo
ipipol ipilpo ipilop ipiolp ipiopl ippilo ippiol ipplio ipploi ippoli ippoil
iplpio iplpoi iplipo ipliop iploip iplopi ipopli ipopil ipolpi ipolip ipoilp
ipoipl ippilo ippiol ipplio ipploi ippoli ippoil ipiplo ipipol ipilpo ipilop
ipiolp ipiopl iplipo ipliop iplpio iplpoi iplopi iploip ipoilp ipoipl ipolip
ipolpi ipopli ipopil ilppio ilppoi ilpipo ilpiop ilpoip ilpopi ilppio ilppoi
ilpipo ilpiop ilpoip ilpopi ilippo ilipop ilippo ilipop iliopp iliopp ilopip
iloppi iloipp iloipp ilopip iloppi ioppli ioppil ioplpi ioplip iopilp iopipl
ioppli ioppil ioplpi ioplip iopilp iopipl iolppi iolpip iolppi iolpip iolipp
iolipp ioiplp ioippl ioilpp ioilpp ioiplp ioippl lipipo lipiop lippio lippoi
lipopi lipoip liippo liipop liippo liipop liiopp liiopp lipipo lipiop lippio
lippoi lipopi lipoip lioipp lioipp liopip lioppi lioppi liopip lpiipo lpiiop
lpipio lpipoi lpiopi lpioip lpiipo lpiiop lpipio lpipoi lpiopi lpioip lppiio
lppioi lppiio lppioi lppoii lppoii lpoipi lpoiip lpopii lpopii lpoipi lpoiip
lipipo lipiop lippio lippoi lipopi lipoip liippo liipop liippo liipop liiopp
liiopp lipipo lipiop lippio lippoi lipopi lipoip lioipp lioipp liopip lioppi
lioppi liopip lppiio lppioi lppiio lppioi lppoii lppoii lpipio lpipoi lpiipo
lpiiop lpioip lpiopi lpiipo lpiiop lpipio lpipoi lpiopi lpioip lpoiip lpoipi
lpoiip lpoipi lpopii lpopii lopipi lopiip loppii loppii lopipi lopiip loippi
loipip loippi loipip loiipp loiipp lopipi lopiip loppii loppii lopipi lopiip
loiipp loiipp loipip loippi loippi loipip oipilp oipipl oiplip oiplpi oippli
oippil oiiplp oiippl oiilpp oiilpp oiiplp oiippl oilipp oilipp oilpip oilppi
oilppi oilpip oipilp oipipl oiplip oiplpi oippli oippil opiilp opiipl opilip
opilpi opipli opipil opiilp opiipl opilip opilpi opipli opipil opliip oplipi
opliip oplipi oplpii oplpii oppili oppiil opplii opplii oppili oppiil oipilp
oipipl oiplip oiplpi oippli oippil oiiplp oiippl oiilpp oiilpp oiiplp oiippl
oilipp oilipp oilpip oilppi oilppi oilpip oipilp oipipl oiplip oiplpi oippli
oippil olpiip olpipi olpiip olpipi olppii olppii olipip olippi oliipp oliipp
olipip olippi oliipp oliipp olipip olippi olippi olipip olpiip olpipi olpiip
olpipi olppii olppii oppili oppiil opplii opplii oppili oppiil opipli opipil
opilpi opilip opiilp opiipl oplipi opliip oplpii oplpii oplipi opliip opiilp
opiipl opilip opilpi opipli opipil

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

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