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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: warree
cipher variations:
xbssff ycttgg zduuhh aevvii bfwwjj
cgxxkk dhyyll eizzmm fjaann gkbboo
hlccpp imddqq jneerr koffss lpggtt
mqhhuu nriivv osjjww ptkkxx qullyy
rvmmzz swnnaa txoobb uyppcc vzqqdd

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: warree
Cipher: dziivv

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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: warree
Cipher: BABAA AAAAA BAAAA BAAAA AABAA AABAA

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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: warree
cipher variations:
xbssffpbaannhbiivvzbqqddrbyylljbggtttbwwjjlbeerr
dbmmzzvbuuhhnbccppfbkkxxycttggqcbbooicjjwwacrree
sczzmmkchhuuucxxkkmcffssecnnaawcvviiocddqqgcllyy
zduuhhrdccppjdkkxxbdssfftdaannldiivvvdyyllndggtt
fdoobbxdwwjjpdeerrhdmmzzaevviiseddqqkellyycettgg
uebboomejjwwwezzmmoehhuugeppccyexxkkqeffssiennaa
bfwwjjtfeerrlfmmzzdfuuhhvfccppnfkkxxxfaannpfiivv
hfqqddzfyyllrfggttjfoobbcgxxkkugffssmgnnaaegvvii
wgddqqogllyyygbbooqgjjwwigrreeagzzmmsghhuukgppcc
dhyyllvhggttnhoobbfhwwjjxheerrphmmzzzhccpprhkkxx
jhssffbhaannthiivvlhqqddeizzmmwihhuuoippccgixxkk
yiffssqinnaaaiddqqsillyykittggcibboouijjwwmirree
fjaannxjiivvpjqqddhjyyllzjggttrjoobbbjeerrtjmmzz
ljuuhhdjccppvjkkxxnjssffgkbbooykjjwwqkrreeikzzmm
akhhuuskppccckffssuknnaamkvviiekddqqwkllyyokttgg
hlccppzlkkxxrlssffjlaannbliivvtlqqdddlggttvloobb
nlwwjjfleerrxlmmzzpluuhhimddqqamllyysmttggkmbboo
cmjjwwumrreeemhhuuwmppccomxxkkgmffssymnnaaqmvvii
jneerrbnmmzztnuuhhlnccppdnkkxxvnssfffniivvxnqqdd
pnyyllhnggttznoobbrnwwjjkoffssconnaauovviimoddqq
eollyywottgggojjwwyorreeqozzmmiohhuuaoppccsoxxkk
lpggttdpoobbvpwwjjnpeerrfpmmzzxpuuhhhpkkxxzpssff
rpaannjpiivvbpqqddtpyyllmqhhuueqppccwqxxkkoqffss
gqnnaayqvviiiqllyyaqttggsqbbookqjjwwcqrreeuqzzmm
nriivvfrqqddxryyllprggtthroobbzrwwjjjrmmzzbruuhh
trccpplrkkxxdrssffvraannosjjwwgsrreeyszzmmqshhuu
isppccasxxkkksnnaacsvviiusddqqmsllyyesttggwsbboo
ptkkxxhtssffztaannrtiivvjtqqddbtyyllltoobbdtwwjj
vteerrntmmzzftuuhhxtccppqullyyiuttggaubboosujjww
kurreecuzzmmmuppcceuxxkkwuffssounnaaguvviiyuddqq
rvmmzzjvuuhhbvccpptvkkxxlvssffdvaannnvqqddfvyyll
xvggttpvoobbhvwwjjzveerrswnnaakwvviicwddqquwllyy
mwttggewbbooowrreegwzzmmywhhuuqwppcciwxxkkawffss
txoobblxwwjjdxeerrvxmmzznxuuhhfxccpppxssffhxaann
zxiivvrxqqddjxyyllbxggttuyppccmyxxkkeyffsswynnaa
oyvviigyddqqqyttggiybbooayjjwwsyrreekyzzmmcyhhuu
vzqqddnzyyllfzggttxzoobbpzwwjjhzeerrrzuuhhjzccpp
bzkkxxtzssfflzaanndziivvwarreeoazzmmgahhuuyappcc
qaxxkkiaffsssavviikaddqqcallyyuattggmabbooeajjww

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: warree
Cipher: jneerr

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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: warree
Cipher: 251124245151

Extended Methods:
Method #1

Plaintext: warree
method variations:
bfwwkkglbbppmqgguurvmmzz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
w a r r e e 
2 1 2 2 5 5 
5 1 4 4 1 1 
They are then read out in rows:
212255514411
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: warree
Cipher: bgzeta

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Method #3

Plaintext: warree
method variations:
efiyvf fiyvfe iyvfef
yvfefi vfefiy fefiyv

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: warree

all 720 cipher variations:
warree warree warere wareer wareer warere warree warree warere wareer wareer
warere waerre waerer waerre waerer waeerr waeerr waerer waerre waeerr waeerr
waerer waerre wraree wraree wraere wraeer wraeer wraere wrraee wrraee wrreae
wrreea wrreea wrreae wrerae wrerea wreare wreaer wreear wreera wrerea wrerae
wreera wreear wreaer wreare wrraee wrraee wrreae wrreea wrreea wrreae wraree
wraree wraere wraeer wraeer wraere wreare wreaer wrerae wrerea wreera wreear
wreaer wreare wreear wreera wrerea wrerae werrae werrea werare weraer werear
werera werrae werrea werare weraer werear werera wearre wearer wearre wearer
weaerr weaerr weerar weerra weearr weearr weerar weerra werrea werrae werera
werear weraer werare werrea werrae werera werear weraer werare weerra weerar
weerra weerar weearr weearr wearer wearre weaerr weaerr wearer wearre awrree
awrree awrere awreer awreer awrere awrree awrree awrere awreer awreer awrere
awerre awerer awerre awerer aweerr aweerr awerer awerre aweerr aweerr awerer
awerre arwree arwree arwere arweer arweer arwere arrwee arrwee arrewe arreew
arreew arrewe arerwe arerew arewre arewer areewr areerw arerew arerwe areerw
areewr arewer arewre arrwee arrwee arrewe arreew arreew arrewe arwree arwree
arwere arweer arweer arwere arewre arewer arerwe arerew areerw areewr arewer
arewre areewr areerw arerew arerwe aerrwe aerrew aerwre aerwer aerewr aererw
aerrwe aerrew aerwre aerwer aerewr aererw aewrre aewrer aewrre aewrer aewerr
aewerr aeerwr aeerrw aeewrr aeewrr aeerwr aeerrw aerrew aerrwe aererw aerewr
aerwer aerwre aerrew aerrwe aererw aerewr aerwer aerwre aeerrw aeerwr aeerrw
aeerwr aeewrr aeewrr aewrer aewrre aewerr aewerr aewrer aewrre rawree rawree
rawere raweer raweer rawere rarwee rarwee rarewe rareew rareew rarewe raerwe
raerew raewre raewer raeewr raeerw raerew raerwe raeerw raeewr raewer raewre
rwaree rwaree rwaere rwaeer rwaeer rwaere rwraee rwraee rwreae rwreea rwreea
rwreae rwerae rwerea rweare rweaer rweear rweera rwerea rwerae rweera rweear
rweaer rweare rrwaee rrwaee rrweae rrweea rrweea rrweae rrawee rrawee rraewe
rraeew rraeew rraewe rreawe rreaew rrewae rrewea rreewa rreeaw rreaew rreawe
rreeaw rreewa rrewea rrewae rewrae rewrea reware rewaer rewear rewera rerwae
rerwea rerawe reraew rereaw rerewa rearwe rearew reawre reawer reaewr reaerw
reeraw reerwa reearw reeawr reewar reewra rewrea rewrae rewera rewear rewaer
reware rerwea rerwae rerewa rereaw reraew rerawe reerwa reeraw reewra reewar
reeawr reearw rearew rearwe reaerw reaewr reawer reawre rarwee rarwee rarewe
rareew rareew rarewe rawree rawree rawere raweer raweer rawere raewre raewer
raerwe raerew raeerw raeewr raewer raewre raeewr raeerw raerew raerwe rrawee
rrawee rraewe rraeew rraeew rraewe rrwaee rrwaee rrweae rrweea rrweea rrweae
rrewae rrewea rreawe rreaew rreeaw rreewa rrewea rrewae rreewa rreeaw rreaew
rreawe rwraee rwraee rwreae rwreea rwreea rwreae rwaree rwaree rwaere rwaeer
rwaeer rwaere rweare rweaer rwerae rwerea rweera rweear rweaer rweare rweear
rweera rwerea rwerae rerwae rerwea rerawe reraew rereaw rerewa rewrae rewrea
reware rewaer rewear rewera reawre reawer rearwe rearew reaerw reaewr reewar
reewra reeawr reearw reeraw reerwa rerwea rerwae rerewa rereaw reraew rerawe
rewrea rewrae rewera rewear rewaer reware reewra reewar reerwa reeraw reearw
reeawr reawer reawre reaewr reaerw rearew rearwe earrwe earrew earwre earwer
earewr earerw earrwe earrew earwre earwer earewr earerw eawrre eawrer eawrre
eawrer eawerr eawerr eaerwr eaerrw eaewrr eaewrr eaerwr eaerrw erarwe erarew
erawre erawer eraewr eraerw errawe erraew errwae errwea errewa erreaw erwrae
erwrea erware erwaer erwear erwera ererwa ereraw erewra erewar ereawr erearw
errawe erraew errwae errwea errewa erreaw erarwe erarew erawre erawer eraewr
eraerw erware erwaer erwrae erwrea erwera erwear ereawr erearw erewar erewra
ererwa ereraw ewrrae ewrrea ewrare ewraer ewrear ewrera ewrrae ewrrea ewrare
ewraer ewrear ewrera ewarre ewarer ewarre ewarer ewaerr ewaerr ewerar ewerra
ewearr ewearr ewerar ewerra eerrwa eerraw eerwra eerwar eerawr eerarw eerrwa
eerraw eerwra eerwar eerawr eerarw eewrra eewrar eewrra eewrar eewarr eewarr
eearwr eearrw eeawrr eeawrr eearwr eearrw earrew earrwe earerw earewr earwer
earwre earrew earrwe earerw earewr earwer earwre eaerrw eaerwr eaerrw eaerwr
eaewrr eaewrr eawrer eawrre eawerr eawerr eawrer eawrre erarew erarwe eraerw
eraewr erawer erawre erraew errawe erreaw errewa errwea errwae ereraw ererwa
erearw ereawr erewar erewra erwrea erwrae erwera erwear erwaer erware erraew
errawe erreaw errewa errwea errwae erarew erarwe eraerw eraewr erawer erawre
erearw ereawr ereraw ererwa erewra erewar erwaer erware erwear erwera erwrea
erwrae eerraw eerrwa eerarw eerawr eerwar eerwra eerraw eerrwa eerarw eerawr
eerwar eerwra eearrw eearwr eearrw eearwr eeawrr eeawrr eewrar eewrra eewarr
eewarr eewrar eewrra ewrrea ewrrae ewrera ewrear ewraer ewrare ewrrea ewrrae
ewrera ewrear ewraer ewrare ewerra ewerar ewerra ewerar ewearr ewearr ewarer
ewarre ewaerr ewaerr ewarer ewarre

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