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untithed

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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: xixian
cipher variations:
yjyjbo zkzkcp alaldq bmbmer cncnfs
dodogt epephu fqfqiv grgrjw hshskx
ititly jujumz kvkvna lwlwob mxmxpc
nynyqd ozozre papasf qbqbtg rcrcuh
sdsdvi tetewj ufufxk vgvgyl whwhzm

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: xixian
Cipher: crcrzm

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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: xixian
Cipher: BABAB ABAAA BABAB ABAAA AAAAA ABBAA

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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: xixian
cipher variations:
yjyjboszszbompmpbogfgfboavavboululboirirbochchbo
wxwxboqnqnbokdkdboetetbozkzkcptatacpnqnqcphghgcp
bwbwcpvmvmcpjsjscpdidicpxyxycprorocplelecpfufucp
alaldqububdqorordqihihdqcxcxdqwnwndqktktdqejejdq
yzyzdqspspdqmfmfdqgvgvdqbmbmervcvcerpspserjijier
dydyerxoxoerluluerfkfkerzazaertqtqerngngerhwhwer
cncnfswdwdfsqtqtfskjkjfsezezfsypypfsmvmvfsglglfs
ababfsururfsohohfsixixfsdodogtxexegtrurugtlklkgt
fafagtzqzqgtnwnwgthmhmgtbcbcgtvsvsgtpipigtjyjygt
epephuyfyfhusvsvhumlmlhugbgbhuararhuoxoxhuininhu
cdcdhuwtwthuqjqjhukzkzhufqfqivzgzgivtwtwivnmnmiv
hchcivbsbsivpypyivjojoivdedeivxuxuivrkrkivlalaiv
grgrjwahahjwuxuxjwononjwididjwctctjwqzqzjwkpkpjw
efefjwyvyvjwslsljwmbmbjwhshskxbibikxvyvykxpopokx
jejekxdudukxrarakxlqlqkxfgfgkxzwzwkxtmtmkxncnckx
ititlycjcjlywzwzlyqpqplykfkflyevevlysbsblymrmrly
ghghlyaxaxlyununlyododlyjujumzdkdkmzxaxamzrqrqmz
lglgmzfwfwmztctcmznsnsmzhihimzbybymzvovomzpepemz
kvkvnaelelnaybybnasrsrnamhmhnagxgxnaududnaototna
ijijnaczcznawpwpnaqfqfnalwlwobfmfmobzczcobtstsob
niniobhyhyobveveobpupuobjkjkobdadaobxqxqobrgrgob
mxmxpcgngnpcadadpcututpcojojpcizizpcwfwfpcqvqvpc
klklpcebebpcyryrpcshshpcnynyqdhohoqdbebeqdvuvuqd
pkpkqdjajaqdxgxgqdrwrwqdlmlmqdfcfcqdzszsqdtitiqd
ozozreipiprecfcfrewvwvreqlqlrekbkbreyhyhresxsxre
mnmnregdgdreatatreujujrepapasfjqjqsfdgdgsfxwxwsf
rmrmsflclcsfzizisftytysfnonosfhehesfbubusfvkvksf
qbqbtgkrkrtgehehtgyxyxtgsnsntgmdmdtgajajtguzuztg
opoptgififtgcvcvtgwlwltgrcrcuhlslsuhfifiuhzyzyuh
totouhneneuhbkbkuhvavauhpqpquhjgjguhdwdwuhxmxmuh
sdsdvimtmtvigjgjviazazviupupviofofviclclviwbwbvi
qrqrvikhkhviexexviynynvitetewjnunuwjhkhkwjbabawj
vqvqwjpgpgwjdmdmwjxcxcwjrsrswjliliwjfyfywjzozowj
ufufxkovovxkililxkcbcbxkwrwrxkqhqhxkenenxkydydxk
ststxkmjmjxkgzgzxkapapxkvgvgylpwpwyljmjmyldcdcyl
xsxsylririylfofoylzezeyltutuylnknkylhahaylbqbqyl
whwhzmqxqxzmknknzmededzmytytzmsjsjzmgpgpzmafafzm
uvuvzmololzmibibzmcrcrzmxixianryryanloloanfefean
zuzuantktkanhqhqanbgbganvwvwanpmpmanjcjcandsdsan

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: xixian
Cipher: kvkvna

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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: xixian
Cipher: 354235421133

Extended Methods:
Method #1

Plaintext: xixian
method variations:
cocofshthtlxnynyqcsdsdvh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
x i x i a n 
3 4 3 4 1 3 
5 2 5 2 1 3 
They are then read out in rows:
343413525213
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: xixian
Cipher: sslkkl

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Method #3

Plaintext: xixian
method variations:
umubln mublnu ublnum
blnumu lnumub numubl

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: xixian

all 720 cipher variations:
xixian xixina xixain xixani xixnai xixnia xiixan xiixna xiiaxn xiianx xiinax
xiinxa xiaixn xiainx xiaxin xiaxni xianxi xianix xiniax xinixa xinaix xinaxi
xinxai xinxia xxiian xxiina xxiain xxiani xxinai xxinia xxiian xxiina xxiain
xxiani xxinai xxinia xxaiin xxaini xxaiin xxaini xxanii xxanii xxniai xxniia
xxnaii xxnaii xxniai xxniia xixian xixina xixain xixani xixnai xixnia xiixan
xiixna xiiaxn xiianx xiinax xiinxa xiaixn xiainx xiaxin xiaxni xianxi xianix
xiniax xinixa xinaix xinaxi xinxai xinxia xaxiin xaxini xaxiin xaxini xaxnii
xaxnii xaixin xaixni xaiixn xaiinx xainix xainxi xaiixn xaiinx xaixin xaixni
xainxi xainix xaniix xanixi xaniix xanixi xanxii xanxii xnxiai xnxiia xnxaii
xnxaii xnxiai xnxiia xnixai xnixia xniaxi xniaix xniiax xniixa xnaixi xnaiix
xnaxii xnaxii xnaixi xnaiix xniiax xniixa xniaix xniaxi xnixai xnixia ixxian
ixxina ixxain ixxani ixxnai ixxnia ixixan ixixna ixiaxn ixianx ixinax ixinxa
ixaixn ixainx ixaxin ixaxni ixanxi ixanix ixniax ixnixa ixnaix ixnaxi ixnxai
ixnxia ixxian ixxina ixxain ixxani ixxnai ixxnia ixixan ixixna ixiaxn ixianx
ixinax ixinxa ixaixn ixainx ixaxin ixaxni ixanxi ixanix ixniax ixnixa ixnaix
ixnaxi ixnxai ixnxia iixxan iixxna iixaxn iixanx iixnax iixnxa iixxan iixxna
iixaxn iixanx iixnax iixnxa iiaxxn iiaxnx iiaxxn iiaxnx iianxx iianxx iinxax
iinxxa iinaxx iinaxx iinxax iinxxa iaxixn iaxinx iaxxin iaxxni iaxnxi iaxnix
iaixxn iaixnx iaixxn iaixnx iainxx iainxx iaxixn iaxinx iaxxin iaxxni iaxnxi
iaxnix ianixx ianixx ianxix ianxxi ianxxi ianxix inxiax inxixa inxaix inxaxi
inxxai inxxia inixax inixxa iniaxx iniaxx inixax inixxa inaixx inaixx inaxix
inaxxi inaxxi inaxix inxiax inxixa inxaix inxaxi inxxai inxxia xixian xixina
xixain xixani xixnai xixnia xiixan xiixna xiiaxn xiianx xiinax xiinxa xiaixn
xiainx xiaxin xiaxni xianxi xianix xiniax xinixa xinaix xinaxi xinxai xinxia
xxiian xxiina xxiain xxiani xxinai xxinia xxiian xxiina xxiain xxiani xxinai
xxinia xxaiin xxaini xxaiin xxaini xxanii xxanii xxniai xxniia xxnaii xxnaii
xxniai xxniia xixian xixina xixain xixani xixnai xixnia xiixan xiixna xiiaxn
xiianx xiinax xiinxa xiaixn xiainx xiaxin xiaxni xianxi xianix xiniax xinixa
xinaix xinaxi xinxai xinxia xaxiin xaxini xaxiin xaxini xaxnii xaxnii xaixin
xaixni xaiixn xaiinx xainix xainxi xaiixn xaiinx xaixin xaixni xainxi xainix
xaniix xanixi xaniix xanixi xanxii xanxii xnxiai xnxiia xnxaii xnxaii xnxiai
xnxiia xnixai xnixia xniaxi xniaix xniiax xniixa xnaixi xnaiix xnaxii xnaxii
xnaixi xnaiix xniiax xniixa xniaix xniaxi xnixai xnixia iixxan iixxna iixaxn
iixanx iixnax iixnxa iixxan iixxna iixaxn iixanx iixnax iixnxa iiaxxn iiaxnx
iiaxxn iiaxnx iianxx iianxx iinxax iinxxa iinaxx iinaxx iinxax iinxxa ixixan
ixixna ixiaxn ixianx ixinax ixinxa ixxian ixxina ixxain ixxani ixxnai ixxnia
ixaxin ixaxni ixaixn ixainx ixanix ixanxi ixnxai ixnxia ixnaxi ixnaix ixniax
ixnixa ixxian ixxina ixxain ixxani ixxnai ixxnia ixixan ixixna ixiaxn ixianx
ixinax ixinxa ixaixn ixainx ixaxin ixaxni ixanxi ixanix ixniax ixnixa ixnaix
ixnaxi ixnxai ixnxia iaxxin iaxxni iaxixn iaxinx iaxnix iaxnxi iaxxin iaxxni
iaxixn iaxinx iaxnix iaxnxi iaixxn iaixnx iaixxn iaixnx iainxx iainxx ianxix
ianxxi ianixx ianixx ianxix ianxxi inxxai inxxia inxaxi inxaix inxiax inxixa
inxxai inxxia inxaxi inxaix inxiax inxixa inaxxi inaxix inaxxi inaxix inaixx
inaixx inixax inixxa iniaxx iniaxx inixax inixxa aixixn aixinx aixxin aixxni
aixnxi aixnix aiixxn aiixnx aiixxn aiixnx aiinxx aiinxx aixixn aixinx aixxin
aixxni aixnxi aixnix ainixx ainixx ainxix ainxxi ainxxi ainxix axiixn axiinx
axixin axixni axinxi axinix axiixn axiinx axixin axixni axinxi axinix axxiin
axxini axxiin axxini axxnii axxnii axnixi axniix axnxii axnxii axnixi axniix
aixixn aixinx aixxin aixxni aixnxi aixnix aiixxn aiixnx aiixxn aiixnx aiinxx
aiinxx aixixn aixinx aixxin aixxni aixnxi aixnix ainixx ainixx ainxix ainxxi
ainxxi ainxix axxiin axxini axxiin axxini axxnii axxnii axixin axixni axiixn
axiinx axinix axinxi axiixn axiinx axixin axixni axinxi axinix axniix axnixi
axniix axnixi axnxii axnxii anxixi anxiix anxxii anxxii anxixi anxiix anixxi
anixix anixxi anixix aniixx aniixx anxixi anxiix anxxii anxxii anxixi anxiix
aniixx aniixx anixix anixxi anixxi anixix nixiax nixixa nixaix nixaxi nixxai
nixxia niixax niixxa niiaxx niiaxx niixax niixxa niaixx niaixx niaxix niaxxi
niaxxi niaxix nixiax nixixa nixaix nixaxi nixxai nixxia nxiiax nxiixa nxiaix
nxiaxi nxixai nxixia nxiiax nxiixa nxiaix nxiaxi nxixai nxixia nxaiix nxaixi
nxaiix nxaixi nxaxii nxaxii nxxiai nxxiia nxxaii nxxaii nxxiai nxxiia nixiax
nixixa nixaix nixaxi nixxai nixxia niixax niixxa niiaxx niiaxx niixax niixxa
niaixx niaixx niaxix niaxxi niaxxi niaxix nixiax nixixa nixaix nixaxi nixxai
nixxia naxiix naxixi naxiix naxixi naxxii naxxii naixix naixxi naiixx naiixx
naixix naixxi naiixx naiixx naixix naixxi naixxi naixix naxiix naxixi naxiix
naxixi naxxii naxxii nxxiai nxxiia nxxaii nxxaii nxxiai nxxiia nxixai nxixia
nxiaxi nxiaix nxiiax nxiixa nxaixi nxaiix nxaxii nxaxii nxaixi nxaiix nxiiax
nxiixa nxiaix nxiaxi nxixai nxixia

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