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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: sawale
cipher variations:
tbxbmf ucycng vdzdoh weaepi xfbfqj
ygcgrk zhdhsl aieitm bjfjun ckgkvo
dlhlwp emimxq fnjnyr gokozs hplpat
iqmqbu jrnrcv ksosdw ltptex muqufy
nvrvgz owswha pxtxib qyuyjc rzvzkd

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: sawale
Cipher: hzdzov

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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: sawale
Cipher: BAAAB AAAAA BABAA AAAAA ABABA 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: sawale
cipher variations:
tbxbmfdbpbinnbhbevxbzbadhbrbwlrbjbstlbtbkjvblbgr
fbdbczpbvbyhzbnbupjbfbqxucycngecqcjoocicfwycacbe
icscxmsckctumcuclkwcmchsgcecdaqcwcziacocvqkcgcry
vdzdohfdrdkppdjdgxzdbdcfjdtdyntdlduvndvdmlxdndit
hdfdebrdxdajbdpdwrldhdszweaepigeselqqekehyaecedg
keuezouemevwoewenmyeoejuiegefcseyebkceqexsmeieta
xfbfqjhftfmrrflfizbfdfehlfvfapvfnfwxpfxfonzfpfkv
jfhfgdtfzfcldfrfytnfjfubygcgrkigugnssgmgjacgegfi
mgwgbqwgogxyqgygpoagqglwkgigheugagdmegsgzuogkgvc
zhdhsljhvhotthnhkbdhfhgjnhxhcrxhphyzrhzhqpbhrhmx
lhjhifvhbhenfhthavphlhwdaieitmkiwipuuioilceigihk
oiyidsyiqizasiairqcisinymikijgwicifogiuibwqimixe
bjfjunljxjqvvjpjmdfjhjilpjzjetzjrjabtjbjsrdjtjoz
njljkhxjdjgphjvjcxrjnjyfckgkvomkykrwwkqknegkikjm
qkakfuakskbcukcktsekukpaokmkliykekhqikwkdyskokzg
dlhlwpnlzlsxxlrlofhljlknrlblgvbltlcdvldlutflvlqb
plnlmjzlflirjlxleztlplahemimxqomamtyymsmpgimkmlo
smcmhwcmumdewmemvugmwmrcqmomnkamgmjskmymfaumqmbi
fnjnyrpnbnuzzntnqhjnlnmptndnixdnvnefxnfnwvhnxnsd
rnpnolbnhnktlnzngbvnrncjgokozsqocovaaouorikomonq
uoeojyeowofgyogoxwioyotesoqopmcoiolumoaohcwosodk
hplpatrpdpwbbpvpsjlpnporvpfpkzfpxpghzphpyxjpzpuf
tprpqndpjpmvnpbpidxptpeliqmqbusqeqxccqwqtkmqoqps
wqgqlagqyqhiaqiqzykqaqvguqsqroeqkqnwoqcqjeyquqfm
jrnrcvtrfryddrxrulnrprqtxrhrmbhrzrijbrjrazlrbrwh
vrtrspfrlroxprdrkfzrvrgnksosdwusgszeesysvmosqsru
ysisncisasjkcsksbamscsxiwsustqgsmspyqseslgaswsho
ltptexvthtafftztwnptrtsvztjtodjtbtkldtltcbntdtyj
xtvturhtntqzrtftmhbtxtipmuqufywuiubgguauxoqusutw
aukupekuculmeumudcoueuzkyuwuvsiuourasugunicuyujq
nvrvgzxvjvchhvbvyprvtvuxbvlvqflvdvmnfvnvedpvfval
zvxvwtjvpvsbtvhvojdvzvkrowswhaywkwdiiwcwzqswuwvy
cwmwrgmwewnogwowfeqwgwbmawywxukwqwtcuwiwpkewawls
pxtxibzxlxejjxdxartxvxwzdxnxshnxfxophxpxgfrxhxcn
bxzxyvlxrxudvxjxqlfxbxmtqyuyjcaymyfkkyeybsuywyxa
eyoytioygypqiyqyhgsyiydocyayzwmysyvewykyrmgycynu
rzvzkdbznzgllzfzctvzxzybfzpzujpzhzqrjzrzihtzjzep
dzbzaxnztzwfxzlzsnhzdzovsawalecaoahmmagaduwayazc
gaqavkqaiarskasajiuakafqeacabyoauaxgyamatoiaeapw

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: sawale
Cipher: fnjnyr

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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: sawale
Cipher: 341125111351

Extended Methods:
Method #1

Plaintext: sawale
method variations:
xfbfqkclglvphqmqaunvrvfz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s a w a l e 
3 1 2 1 1 5 
4 1 5 1 3 1 
They are then read out in rows:
312115415131
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: sawale
Cipher: cbvdec

Read more ...
Method #3

Plaintext: sawale
method variations:
dfeaxl feaxld eaxldf
axldfe xldfea ldfeax

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: sawale

all 720 cipher variations:
sawale sawael sawlae sawlea sawela saweal saawle saawel saalwe saalew saaelw
saaewl salawe salaew salwae salwea salewa saleaw saealw saeawl saelaw saelwa
saewla saewal swaale swaael swalae swalea swaela swaeal swaale swaael swalae
swalea swaela swaeal swlaae swlaea swlaae swlaea swleaa swleaa sweala sweaal
swelaa swelaa sweala sweaal sawale sawael sawlae sawlea sawela saweal saawle
saawel saalwe saalew saaelw saaewl salawe salaew salwae salwea salewa saleaw
saealw saeawl saelaw saelwa saewla saewal slwaae slwaea slwaae slwaea slweaa
slweaa slawae slawea slaawe slaaew slaeaw slaewa slaawe slaaew slawae slawea
slaewa slaeaw sleaaw sleawa sleaaw sleawa slewaa slewaa sewala sewaal sewlaa
sewlaa sewala sewaal seawla seawal sealwa sealaw seaalw seaawl selawa selaaw
selwaa selwaa selawa selaaw seaalw seaawl sealaw sealwa seawla seawal aswale
aswael aswlae aswlea aswela asweal asawle asawel asalwe asalew asaelw asaewl
aslawe aslaew aslwae aslwea aslewa asleaw asealw aseawl aselaw aselwa asewla
asewal awsale awsael awslae awslea awsela awseal awasle awasel awalse awales
awaels awaesl awlase awlaes awlsae awlsea awlesa awleas aweals aweasl awelas
awelsa awesla awesal aawsle aawsel aawlse aawles aawels aawesl aaswle aaswel
aaslwe aaslew aaselw aasewl aalswe aalsew aalwse aalwes aalews aalesw aaeslw
aaeswl aaelsw aaelws aaewls aaewsl alwase alwaes alwsae alwsea alwesa alweas
alawse alawes alaswe alasew alaesw alaews alsawe alsaew alswae alswea alsewa
alseaw aleasw aleaws alesaw aleswa alewsa alewas aewals aewasl aewlas aewlsa
aewsla aewsal aeawls aeawsl aealws aealsw aeaslw aeaswl aelaws aelasw aelwas
aelwsa aelswa aelsaw aesalw aesawl aeslaw aeslwa aeswla aeswal wasale wasael
waslae waslea wasela waseal waasle waasel waalse waales waaels waaesl walase
walaes walsae walsea walesa waleas waeals waeasl waelas waelsa waesla waesal
wsaale wsaael wsalae wsalea wsaela wsaeal wsaale wsaael wsalae wsalea wsaela
wsaeal wslaae wslaea wslaae wslaea wsleaa wsleaa wseala wseaal wselaa wselaa
wseala wseaal wasale wasael waslae waslea wasela waseal waasle waasel waalse
waales waaels waaesl walase walaes walsae walsea walesa waleas waeals waeasl
waelas waelsa waesla waesal wlsaae wlsaea wlsaae wlsaea wlseaa wlseaa wlasae
wlasea wlaase wlaaes wlaeas wlaesa wlaase wlaaes wlasae wlasea wlaesa wlaeas
wleaas wleasa wleaas wleasa wlesaa wlesaa wesala wesaal weslaa weslaa wesala
wesaal weasla weasal wealsa wealas weaals weaasl welasa welaas welsaa welsaa
welasa welaas weaals weaasl wealas wealsa weasla weasal aawsle aawsel aawlse
aawles aawels aawesl aaswle aaswel aaslwe aaslew aaselw aasewl aalswe aalsew
aalwse aalwes aalews aalesw aaeslw aaeswl aaelsw aaelws aaewls aaewsl awasle
awasel awalse awales awaels awaesl awsale awsael awslae awslea awsela awseal
awlsae awlsea awlase awlaes awleas awlesa awesla awesal awelsa awelas aweals
aweasl aswale aswael aswlae aswlea aswela asweal asawle asawel asalwe asalew
asaelw asaewl aslawe aslaew aslwae aslwea aslewa asleaw asealw aseawl aselaw
aselwa asewla asewal alwsae alwsea alwase alwaes alweas alwesa alswae alswea
alsawe alsaew alseaw alsewa alaswe alasew alawse alawes alaews alaesw alesaw
aleswa aleasw aleaws alewas alewsa aewsla aewsal aewlsa aewlas aewals aewasl
aeswla aeswal aeslwa aeslaw aesalw aesawl aelswa aelsaw aelwsa aelwas aelaws
aelasw aeaslw aeaswl aealsw aealws aeawls aeawsl lawase lawaes lawsae lawsea
lawesa laweas laawse laawes laaswe laasew laaesw laaews lasawe lasaew laswae
laswea lasewa laseaw laeasw laeaws laesaw laeswa laewsa laewas lwaase lwaaes
lwasae lwasea lwaesa lwaeas lwaase lwaaes lwasae lwasea lwaesa lwaeas lwsaae
lwsaea lwsaae lwsaea lwseaa lwseaa lweasa lweaas lwesaa lwesaa lweasa lweaas
lawase lawaes lawsae lawsea lawesa laweas laawse laawes laaswe laasew laaesw
laaews lasawe lasaew laswae laswea lasewa laseaw laeasw laeaws laesaw laeswa
laewsa laewas lswaae lswaea lswaae lswaea lsweaa lsweaa lsawae lsawea lsaawe
lsaaew lsaeaw lsaewa lsaawe lsaaew lsawae lsawea lsaewa lsaeaw lseaaw lseawa
lseaaw lseawa lsewaa lsewaa lewasa lewaas lewsaa lewsaa lewasa lewaas leawsa
leawas leaswa leasaw leaasw leaaws lesawa lesaaw leswaa leswaa lesawa lesaaw
leaasw leaaws leasaw leaswa leawsa leawas eawals eawasl eawlas eawlsa eawsla
eawsal eaawls eaawsl eaalws eaalsw eaaslw eaaswl ealaws ealasw ealwas ealwsa
ealswa ealsaw easalw easawl easlaw easlwa easwla easwal ewaals ewaasl ewalas
ewalsa ewasla ewasal ewaals ewaasl ewalas ewalsa ewasla ewasal ewlaas ewlasa
ewlaas ewlasa ewlsaa ewlsaa ewsala ewsaal ewslaa ewslaa ewsala ewsaal eawals
eawasl eawlas eawlsa eawsla eawsal eaawls eaawsl eaalws eaalsw eaaslw eaaswl
ealaws ealasw ealwas ealwsa ealswa ealsaw easalw easawl easlaw easlwa easwla
easwal elwaas elwasa elwaas elwasa elwsaa elwsaa elawas elawsa elaaws elaasw
elasaw elaswa elaaws elaasw elawas elawsa elaswa elasaw elsaaw elsawa elsaaw
elsawa elswaa elswaa eswala eswaal eswlaa eswlaa eswala eswaal esawla esawal
esalwa esalaw esaalw esaawl eslawa eslaaw eslwaa eslwaa eslawa eslaaw esaalw
esaawl esalaw esalwa esawla esawal

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

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