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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: dutter
cipher variations:
evuufs fwvvgt gxwwhu hyxxiv izyyjw
jazzkx kbaaly lcbbmz mdccna neddob
ofeepc pgffqd qhggre rihhsf sjiitg
tkjjuh ulkkvi vmllwj wnmmxk xonnyl
ypoozm zqppan arqqbo bsrrcp ctssdq

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: dutter
Cipher: wfggvi

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: dutter
Cipher: AAABB BAABB BAABA BAABA AABAA BAAAA

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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: dutter
cipher variations:
evuufskjggnaqxssviwleedqczqqlyincctgupaajwadmmre
gryyzmmfkkhustwwpcyhiixkfwvvgtlkhhobryttwjxmffer
darrmzjodduhvqbbkxbennsfhszzanngllivtuxxqdzijjyl
gxwwhumliipcszuuxkynggfsebssnakpeeviwrcclycfootg
itaaboohmmjwuvyyreajkkzmhyxxivnmjjqdtavvylzohhgt
fcttoblqffwjxsddmzdgppuhjubbcppinnkxvwzzsfbkllan
izyyjwonkkreubwwzmapiihugduupcmrggxkyteenaehqqvi
kvccdqqjoolywxaatgclmmbojazzkxpollsfvcxxanbqjjiv
hevvqdnshhylzuffobfirrwjlwdderrkppmzxybbuhdmnncp
kbaalyqpmmtgwdyybocrkkjwifwwreotiizmavggpcgjssxk
mxeefsslqqnayzccvienoodqlcbbmzrqnnuhxezzcpdsllkx
jgxxsfpujjanbwhhqdhkttylnyffgttmrrobzaddwjfopper
mdccnasrooviyfaadqetmmlykhyytgqvkkbocxiireiluuzm
ozgghuunsspcabeexkgpqqfsneddobtsppwjzgbberfunnmz
lizzuhrwllcpdyjjsfjmvvanpahhivvottqdbcffylhqrrgt
ofeepcutqqxkahccfsgvoonamjaavisxmmdqezkktgknwwbo
qbiijwwpuurecdggzmirsshupgffqdvurrylbiddgthwppob
nkbbwjtynnerfalluhloxxcprcjjkxxqvvsfdehhanjsttiv
qhggrewvsszmcjeehuixqqpcolccxkuzoofsgbmmvimpyydq
sdkklyyrwwtgefiiboktuujwrihhsfxwttandkffivjyrrqd
pmddylvappgthcnnwjnqzzertellmzzsxxuhfgjjcpluvvkx
sjiitgyxuuboelggjwkzssreqneezmwbqqhuidooxkoraafs
ufmmnaatyyvighkkdqmvwwlytkjjuhzyvvcpfmhhkxlattsf
roffanxcrrivjeppylpsbbgtvgnnobbuzzwjhillernwxxmz
ulkkviazwwdqgniilymbuutgspggboydssjwkfqqzmqtcchu
whoopccvaaxkijmmfsoxyynavmllwjbaxxerhojjmzncvvuh
tqhhcpzettkxlgrranruddivxippqddwbbyljknngtpyzzob
wnmmxkcbyyfsipkknaodwwviuriidqafuulymhssbosveejw
yjqqreexcczmkloohuqzaapcxonnyldczzgtjqllobpexxwj
vsjjerbgvvmznittcptwffkxzkrrsffyddanlmppivrabbqd
ypoozmedaahukrmmpcqfyyxkwtkkfschwwnaojuudquxggly
alsstggzeebomnqqjwsbccrezqppanfebbivlsnnqdrgzzyl
xullgtdixxobpkvvervyhhmzbmttuhhaffcpnorrkxtcddsf
arqqbogfccjwmtooreshaazmyvmmhuejyypcqlwwfswziina
cnuuviibggdqopsslyudeetgbsrrcphgddkxnuppsftibban
zwnnivfkzzqdrmxxgtxajjobdovvwjjchherpqttmzveffuh
ctssdqiheelyovqqtgujccboaxoojwglaaresnyyhuybkkpc
epwwxkkdiifsqruunawfggvidutterjiffmzpwrruhvkddcp
byppkxhmbbsftozzivzcllqdfqxxyllejjgtrsvvobxghhwj

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: dutter
Cipher: qhggre

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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: dutter
Cipher: 415444445124

Extended Methods:
Method #1

Plaintext: dutter
method variations:
izyykwoeddpbtkiiugypoozm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d u t t e r 
4 5 4 4 5 2 
1 4 4 4 1 4 
They are then read out in rows:
454452144414
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: dutter
Cipher: ytkqtq

Read more ...
Method #3

Plaintext: dutter
method variations:
vttyft ttyftv tyftvt
yftvtt ftvtty tvttyf

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: dutter

all 720 cipher variations:
dutter duttre dutetr dutert dutret dutrte dutter duttre dutetr dutert dutret
dutrte duettr duetrt duettr duetrt duertt duertt durtet durtte durett durett
durtet durtte dtuter dtutre dtuetr dtuert dturet dturte dttuer dtture dtteur
dtteru dttreu dttrue dtetur dtetru dteutr dteurt dterut dtertu dtrteu dtrtue
dtretu dtreut dtruet dtrute dttuer dtture dtteur dtteru dttreu dttrue dtuter
dtutre dtuetr dtuert dturet dturte dteutr dteurt dtetur dtetru dtertu dterut
dtruet dtrute dtreut dtretu dtrteu dtrtue dettur dettru detutr deturt detrut
detrtu dettur dettru detutr deturt detrut detrtu deuttr deutrt deuttr deutrt
deurtt deurtt dertut derttu derutt derutt dertut derttu drtteu drttue drtetu
drteut drtuet drtute drtteu drttue drtetu drteut drtuet drtute drettu dretut
drettu dretut dreutt dreutt drutet drutte druett druett drutet drutte udtter
udttre udtetr udtert udtret udtrte udtter udttre udtetr udtert udtret udtrte
udettr udetrt udettr udetrt udertt udertt udrtet udrtte udrett udrett udrtet
udrtte utdter utdtre utdetr utdert utdret utdrte uttder uttdre uttedr utterd
uttred uttrde utetdr utetrd utedtr utedrt uterdt utertd utrted utrtde utretd
utredt utrdet utrdte uttder uttdre uttedr utterd uttred uttrde utdter utdtre
utdetr utdert utdret utdrte utedtr utedrt utetdr utetrd utertd uterdt utrdet
utrdte utredt utretd utrted utrtde uettdr uettrd uetdtr uetdrt uetrdt uetrtd
uettdr uettrd uetdtr uetdrt uetrdt uetrtd uedttr uedtrt uedttr uedtrt uedrtt
uedrtt uertdt uerttd uerdtt uerdtt uertdt uerttd urtted urttde urtetd urtedt
urtdet urtdte urtted urttde urtetd urtedt urtdet urtdte urettd uretdt urettd
uretdt uredtt uredtt urdtet urdtte urdett urdett urdtet urdtte tudter tudtre
tudetr tudert tudret tudrte tutder tutdre tutedr tuterd tutred tutrde tuetdr
tuetrd tuedtr tuedrt tuerdt tuertd turted turtde turetd turedt turdet turdte
tduter tdutre tduetr tduert tduret tdurte tdtuer tdture tdteur tdteru tdtreu
tdtrue tdetur tdetru tdeutr tdeurt tderut tdertu tdrteu tdrtue tdretu tdreut
tdruet tdrute ttduer ttdure ttdeur ttderu ttdreu ttdrue ttuder ttudre ttuedr
ttuerd ttured tturde tteudr tteurd ttedur ttedru tterdu tterud ttrued ttrude
ttreud ttredu ttrdeu ttrdue tedtur tedtru tedutr tedurt tedrut tedrtu tetdur
tetdru tetudr teturd tetrud tetrdu teutdr teutrd teudtr teudrt teurdt teurtd
tertud tertdu terutd terudt terdut terdtu trdteu trdtue trdetu trdeut trduet
trdute trtdeu trtdue trtedu trteud trtued trtude tretdu tretud tredtu tredut
treudt treutd truted trutde truetd truedt trudet trudte tutder tutdre tutedr
tuterd tutred tutrde tudter tudtre tudetr tudert tudret tudrte tuedtr tuedrt
tuetdr tuetrd tuertd tuerdt turdet turdte turedt turetd turted turtde ttuder
ttudre ttuedr ttuerd ttured tturde ttduer ttdure ttdeur ttderu ttdreu ttdrue
ttedur ttedru tteudr tteurd tterud tterdu ttrdeu ttrdue ttredu ttreud ttrued
ttrude tdtuer tdture tdteur tdteru tdtreu tdtrue tduter tdutre tduetr tduert
tduret tdurte tdeutr tdeurt tdetur tdetru tdertu tderut tdruet tdrute tdreut
tdretu tdrteu tdrtue tetdur tetdru tetudr teturd tetrud tetrdu tedtur tedtru
tedutr tedurt tedrut tedrtu teudtr teudrt teutdr teutrd teurtd teurdt terdut
terdtu terudt terutd tertud tertdu trtdeu trtdue trtedu trteud trtued trtude
trdteu trdtue trdetu trdeut trduet trdute tredtu tredut tretdu tretud treutd
treudt trudet trudte truedt truetd truted trutde euttdr euttrd eutdtr eutdrt
eutrdt eutrtd euttdr euttrd eutdtr eutdrt eutrdt eutrtd eudttr eudtrt eudttr
eudtrt eudrtt eudrtt eurtdt eurttd eurdtt eurdtt eurtdt eurttd etutdr etutrd
etudtr etudrt eturdt eturtd ettudr etturd ettdur ettdru ettrdu ettrud etdtur
etdtru etdutr etdurt etdrut etdrtu etrtdu etrtud etrdtu etrdut etrudt etrutd
ettudr etturd ettdur ettdru ettrdu ettrud etutdr etutrd etudtr etudrt eturdt
eturtd etdutr etdurt etdtur etdtru etdrtu etdrut etrudt etrutd etrdut etrdtu
etrtdu etrtud edttur edttru edtutr edturt edtrut edtrtu edttur edttru edtutr
edturt edtrut edtrtu eduttr edutrt eduttr edutrt edurtt edurtt edrtut edrttu
edrutt edrutt edrtut edrttu erttdu erttud ertdtu ertdut ertudt ertutd erttdu
erttud ertdtu ertdut ertudt ertutd erdttu erdtut erdttu erdtut erdutt erdutt
erutdt eruttd erudtt erudtt erutdt eruttd rutted ruttde rutetd rutedt rutdet
rutdte rutted ruttde rutetd rutedt rutdet rutdte ruettd ruetdt ruettd ruetdt
ruedtt ruedtt rudtet rudtte rudett rudett rudtet rudtte rtuted rtutde rtuetd
rtuedt rtudet rtudte rttued rttude rtteud rttedu rttdeu rttdue rtetud rtetdu
rteutd rteudt rtedut rtedtu rtdteu rtdtue rtdetu rtdeut rtduet rtdute rttued
rttude rtteud rttedu rttdeu rttdue rtuted rtutde rtuetd rtuedt rtudet rtudte
rteutd rteudt rtetud rtetdu rtedtu rtedut rtduet rtdute rtdeut rtdetu rtdteu
rtdtue rettud rettdu retutd retudt retdut retdtu rettud rettdu retutd retudt
retdut retdtu reuttd reutdt reuttd reutdt reudtt reudtt redtut redttu redutt
redutt redtut redttu rdtteu rdttue rdtetu rdteut rdtuet rdtute rdtteu rdttue
rdtetu rdteut rdtuet rdtute rdettu rdetut rdettu rdetut rdeutt rdeutt rdutet
rdutte rduett rduett rdutet rdutte

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