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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: bloxom
cipher variations:
cmpypn dnqzqo eorarp fpsbsq gqtctr
hrudus isvevt jtwfwu kuxgxv lvyhyw
mwzizx nxajay oybkbz pzclca qadmdb
rbenec scfofd tdgpge uehqhf vfirig
wgjsjh xhktki yilulj zjmvmk aknwnl

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: bloxom
Cipher: yolcln

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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: bloxom
Cipher: AAAAB ABABA ABBAB BABAB ABBAB ABABB

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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: bloxom
cipher variations:
cmpypneirsrlgetmtjiavgvhkwxaxfmszuzdqkdidzsgfcfx
uchwhvwyjqjtyulklraqnenpdnqzqofjstsmhfunukjbwhwi
lxybygntavaerlejeathgdgyvdixiwxzkrkuzvmlmsbrofoq
eorarpgktutnigvovlkcxixjmyzczhoubwbfsmfkfbuihehz
wejyjxyalslvawnmntcspgprfpsbsqhluvuojhwpwmldyjyk
nzadaipvcxcgtnglgcvjifiaxfkzkyzbmtmwbxonoudtqhqs
gqtctrimvwvpkixqxnmezkzloabebjqwdydhuohmhdwkjgjb
yglalzacnunxcypopveurirthrudusjnwxwqljyryonfalam
pbcfckrxezeivpiniexlkhkczhmbmabdovoydzqpqwfvsjsu
isvevtkoxyxrmkzszpogbmbnqcdgdlsyfafjwqjojfymlild
aincnbcepwpzearqrxgwtktvjtwfwulpyzysnlataqphcnco
rdehemtzgbgkxrkpkgznmjmebjodocdfqxqafbsrsyhxuluw
kuxgxvmqzaztombubrqidodpsefifnuahchlyslqlhaonknf
ckpepdegryrbgctstziyvmvxlvyhywnrabaupncvcsrjepeq
tfgjgovbidimztmrmibpologdlqfqefhszschdutuajzwnwy
mwzizxosbcbvqodwdtskfqfrughkhpwcjejnaunsnjcqpmph
emrgrfgitatdievuvbkaxoxznxajayptcdcwrpexeutlgrgs
vhiliqxdkfkobvotokdrqnqifnshsghjubuejfwvwclbypya
oybkbzqudedxsqfyfvumhshtwijmjryelglpcwpuplesrorj
gotithikvcvfkgxwxdmczqzbpzclcarvefeytrgzgwvnitiu
xjknkszfmhmqdxqvqmftspskhpujuijlwdwglhyxyendarac
qadmdbswfgfzushahxwojujvykloltagninreyrwrngutqtl
iqvkvjkmxexhmizyzfoebsbdrbenectxghgavtibiyxpkvkw
zlmpmubhojosfzsxsohvurumjrwlwklnyfyinjazagpfctce
scfofduyhihbwujcjzyqlwlxamnqnvcipkptgatytpiwvsvn
ksxmxlmozgzjokbabhqgdudftdgpgevzijicxvkdkazrmxmy
bnorowdjqlquhbuzuqjxwtwoltynymnpahakplcbcirheveg
uehqhfwajkjdywlelbasnynzcopspxekrmrvicvavrkyxuxp
muzoznoqbiblqmdcdjsifwfhvfirigxbklkezxmfmcbtozoa
dpqtqyflsnswjdwbwslzyvyqnvapaoprcjcmrnedektjgxgi
wgjsjhyclmlfayngndcupapbeqrurzgmtotxkexcxtmazwzr
owbqbpqsdkdnsofeflukhyhjxhktkizdmnmgbzohoedvqbqc
frsvsahnupuylfydyunbaxaspxcrcqrteleotpgfgmvlizik
yiluljaenonhcapipfewrcrdgstwtbiovqvzmgzezvocbybt
qydsdrsufmfpuqhghnwmjajlzjmvmkbfopoidbqjqgfxsdse
htuxucjpwrwanhafawpdczcurzetestvgngqvrihioxnkbkm
aknwnlcgpqpjecrkrhgytetfiuvyvdkqxsxboibgbxqedadv
safuftuwhohrwsjijpyolclnbloxomdhqrqkfdslsihzufug
jvwzwelrytycpjchcyrfebewtbgvguvxipisxtkjkqzpmdmo

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: bloxom
Cipher: oybkbz

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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: bloxom
Cipher: 211343354323

Extended Methods:
Method #1

Plaintext: bloxom
method variations:
gqtctrmvyhywradndbwfisig

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b l o x o m 
2 1 4 3 4 2 
1 3 3 5 3 3 
They are then read out in rows:
214342133533
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: bloxom
Cipher: boilxn

Read more ...
Method #3

Plaintext: bloxom
method variations:
asnuhh snuhha nuhhas
uhhasn hhasnu hasnuh

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: bloxom

all 720 cipher variations:
bloxom bloxmo blooxm bloomx blomox blomxo blxoom blxomo blxoom blxomo blxmoo
blxmoo bloxom bloxmo blooxm bloomx blomox blomxo blmxoo blmxoo blmoxo blmoox
blmoox blmoxo bolxom bolxmo boloxm bolomx bolmox bolmxo boxlom boxlmo boxolm
boxoml boxmol boxmlo booxlm booxml boolxm boolmx boomlx boomxl bomxol bomxlo
bomoxl bomolx bomlox bomlxo bxolom bxolmo bxoolm bxooml bxomol bxomlo bxloom
bxlomo bxloom bxlomo bxlmoo bxlmoo bxolom bxolmo bxoolm bxooml bxomol bxomlo
bxmloo bxmloo bxmolo bxmool bxmool bxmolo booxlm booxml boolxm boolmx boomlx
boomxl boxolm boxoml boxlom boxlmo boxmlo boxmol bolxom bolxmo boloxm bolomx
bolmox bolmxo bomxlo bomxol bomlxo bomlox bomolx bomoxl bmoxol bmoxlo bmooxl
bmoolx bmolox bmolxo bmxool bmxolo bmxool bmxolo bmxloo bmxloo bmoxol bmoxlo
bmooxl bmoolx bmolox bmolxo bmlxoo bmlxoo bmloxo bmloox bmloox bmloxo lboxom
lboxmo lbooxm lboomx lbomox lbomxo lbxoom lbxomo lbxoom lbxomo lbxmoo lbxmoo
lboxom lboxmo lbooxm lboomx lbomox lbomxo lbmxoo lbmxoo lbmoxo lbmoox lbmoox
lbmoxo lobxom lobxmo loboxm lobomx lobmox lobmxo loxbom loxbmo loxobm loxomb
loxmob loxmbo looxbm looxmb loobxm loobmx loombx loomxb lomxob lomxbo lomoxb
lomobx lombox lombxo lxobom lxobmo lxoobm lxoomb lxomob lxombo lxboom lxbomo
lxboom lxbomo lxbmoo lxbmoo lxobom lxobmo lxoobm lxoomb lxomob lxombo lxmboo
lxmboo lxmobo lxmoob lxmoob lxmobo looxbm looxmb loobxm loobmx loombx loomxb
loxobm loxomb loxbom loxbmo loxmbo loxmob lobxom lobxmo loboxm lobomx lobmox
lobmxo lomxbo lomxob lombxo lombox lomobx lomoxb lmoxob lmoxbo lmooxb lmoobx
lmobox lmobxo lmxoob lmxobo lmxoob lmxobo lmxboo lmxboo lmoxob lmoxbo lmooxb
lmoobx lmobox lmobxo lmbxoo lmbxoo lmboxo lmboox lmboox lmboxo olbxom olbxmo
olboxm olbomx olbmox olbmxo olxbom olxbmo olxobm olxomb olxmob olxmbo oloxbm
oloxmb olobxm olobmx olombx olomxb olmxob olmxbo olmoxb olmobx olmbox olmbxo
oblxom oblxmo obloxm oblomx oblmox oblmxo obxlom obxlmo obxolm obxoml obxmol
obxmlo oboxlm oboxml obolxm obolmx obomlx obomxl obmxol obmxlo obmoxl obmolx
obmlox obmlxo oxblom oxblmo oxbolm oxboml oxbmol oxbmlo oxlbom oxlbmo oxlobm
oxlomb oxlmob oxlmbo oxolbm oxolmb oxoblm oxobml oxombl oxomlb oxmlob oxmlbo
oxmolb oxmobl oxmbol oxmblo oobxlm oobxml ooblxm ooblmx oobmlx oobmxl ooxblm
ooxbml ooxlbm ooxlmb ooxmlb ooxmbl oolxbm oolxmb oolbxm oolbmx oolmbx oolmxb
oomxlb oomxbl oomlxb oomlbx oomblx oombxl ombxol ombxlo omboxl ombolx omblox
omblxo omxbol omxblo omxobl omxolb omxlob omxlbo omoxbl omoxlb omobxl omoblx
omolbx omolxb omlxob omlxbo omloxb omlobx omlbox omlbxo xlobom xlobmo xloobm
xloomb xlomob xlombo xlboom xlbomo xlboom xlbomo xlbmoo xlbmoo xlobom xlobmo
xloobm xloomb xlomob xlombo xlmboo xlmboo xlmobo xlmoob xlmoob xlmobo xolbom
xolbmo xolobm xolomb xolmob xolmbo xoblom xoblmo xobolm xoboml xobmol xobmlo
xooblm xoobml xoolbm xoolmb xoomlb xoombl xombol xomblo xomobl xomolb xomlob
xomlbo xbolom xbolmo xboolm xbooml xbomol xbomlo xbloom xblomo xbloom xblomo
xblmoo xblmoo xbolom xbolmo xboolm xbooml xbomol xbomlo xbmloo xbmloo xbmolo
xbmool xbmool xbmolo xooblm xoobml xoolbm xoolmb xoomlb xoombl xobolm xoboml
xoblom xoblmo xobmlo xobmol xolbom xolbmo xolobm xolomb xolmob xolmbo xomblo
xombol xomlbo xomlob xomolb xomobl xmobol xmoblo xmoobl xmoolb xmolob xmolbo
xmbool xmbolo xmbool xmbolo xmbloo xmbloo xmobol xmoblo xmoobl xmoolb xmolob
xmolbo xmlboo xmlboo xmlobo xmloob xmloob xmlobo oloxbm oloxmb olobxm olobmx
olombx olomxb olxobm olxomb olxbom olxbmo olxmbo olxmob olbxom olbxmo olboxm
olbomx olbmox olbmxo olmxbo olmxob olmbxo olmbox olmobx olmoxb oolxbm oolxmb
oolbxm oolbmx oolmbx oolmxb ooxlbm ooxlmb ooxblm ooxbml ooxmbl ooxmlb oobxlm
oobxml ooblxm ooblmx oobmlx oobmxl oomxbl oomxlb oombxl oomblx oomlbx oomlxb
oxolbm oxolmb oxoblm oxobml oxombl oxomlb oxlobm oxlomb oxlbom oxlbmo oxlmbo
oxlmob oxblom oxblmo oxbolm oxboml oxbmol oxbmlo oxmlbo oxmlob oxmblo oxmbol
oxmobl oxmolb oboxlm oboxml obolxm obolmx obomlx obomxl obxolm obxoml obxlom
obxlmo obxmlo obxmol oblxom oblxmo obloxm oblomx oblmox oblmxo obmxlo obmxol
obmlxo obmlox obmolx obmoxl omoxbl omoxlb omobxl omoblx omolbx omolxb omxobl
omxolb omxbol omxblo omxlbo omxlob ombxol ombxlo omboxl ombolx omblox omblxo
omlxbo omlxob omlbxo omlbox omlobx omloxb mloxob mloxbo mlooxb mloobx mlobox
mlobxo mlxoob mlxobo mlxoob mlxobo mlxboo mlxboo mloxob mloxbo mlooxb mloobx
mlobox mlobxo mlbxoo mlbxoo mlboxo mlboox mlboox mlboxo molxob molxbo moloxb
molobx molbox molbxo moxlob moxlbo moxolb moxobl moxbol moxblo mooxlb mooxbl
moolxb moolbx mooblx moobxl mobxol mobxlo moboxl mobolx moblox moblxo mxolob
mxolbo mxoolb mxoobl mxobol mxoblo mxloob mxlobo mxloob mxlobo mxlboo mxlboo
mxolob mxolbo mxoolb mxoobl mxobol mxoblo mxbloo mxbloo mxbolo mxbool mxbool
mxbolo mooxlb mooxbl moolxb moolbx mooblx moobxl moxolb moxobl moxlob moxlbo
moxblo moxbol molxob molxbo moloxb molobx molbox molbxo mobxlo mobxol moblxo
moblox mobolx moboxl mboxol mboxlo mbooxl mboolx mbolox mbolxo mbxool mbxolo
mbxool mbxolo mbxloo mbxloo mboxol mboxlo mbooxl mboolx mbolox mbolxo mblxoo
mblxoo mbloxo mbloox mbloox mbloxo

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

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