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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: lorber
cipher variations:
mpscfs nqtdgt oruehu psvfiv qtwgjw
ruxhkx svyily twzjmz uxakna vyblob
wzcmpc xadnqd ybeore zcfpsf adgqtg
behruh cfisvi dgjtwj ehkuxk filvyl
gjmwzm hknxan iloybo jmpzcp knqadq

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: lorber
Cipher: oliyvi

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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: lorber
Cipher: ABABA ABBAB BAAAA AAAAB 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: lorber
cipher variations:
mpscfsiraenaetigviavqidqwxyklyszgmtgkdwqjwgfesre
chmuzmyjuwhuulcypcqnkaxknqtdgtjsbfobfujhwjbwrjer
xyzlmztahnuhlexrkxhgftsfdinvanzkvxivvmdzqdrolbyl
oruehuktcgpcgvkixkcxskfsyzamnaubiovimfyslyihgutg
ejowboalwyjwwnearespmczmpsvfivludhqdhwljyldytlgt
zabnobvcjpwjngztmzjihvuhfkpxcpbmxzkxxofbsftqndan
qtwgjwmveireixmkzmezumhuabcopcwdkqxkohaunakjiwvi
glqydqcnyalyypgctguroeboruxhkxnwfjsfjynlanfavniv
bcdpqdxelrylpibvoblkjxwjhmrzerdozbmzzqhduhvspfcp
svyilyoxgktgkzombogbwojwcdeqreyfmszmqjcwpcmlkyxk
insafsepacnaarieviwtqgdqtwzjmzpyhluhlapncphcxpkx
defrsfzgntanrkdxqdnmlzyljotbgtfqbdobbsjfwjxurher
uxaknaqzimvimbqodqidyqlyefgstgahoubosleyreonmazm
kpuchugrcepcctkgxkyvsifsvyblobrajnwjncrperjezrmz
fghtuhbipvcptmfzsfponbanlqvdivhsdfqddulhylzwtjgt
wzcmpcsbkoxkodsqfskfasnaghiuvicjqwdqungatgqpocbo
mrwejwitegreevmizmaxukhuxadnqdtclpylpetrgtlgbtob
hijvwjdkrxervohbuhrqpdcpnsxfkxjufhsffwnjanbyvliv
ybeoreudmqzmqfushumhcupcijkwxkelsyfswpicvisrqedq
otyglykvgitggxokboczwmjwzcfpsfvenranrgvtivnidvqd
jklxylfmtzgtxqjdwjtsrferpuzhmzlwhjuhhyplcpdaxnkx
adgqtgwfosboshwujwojewreklmyzmgnuahuyrkexkutsgfs
qvainamxikviizqmdqebyolybehruhxgptcptixvkxpkfxsf
lmnzanhovbivzslfylvuthgtrwbjobnyjlwjjarnerfczpmz
cfisviyhqudqujywlyqlgytgmnoaboipwcjwatmgzmwvuihu
sxckpcozkmxkkbsofsgdaqnadgjtwjzirvervkzxmzrmhzuh
nopbcpjqxdkxbunhanxwvjivtydlqdpalnyllctpgthebrob
ehkuxkajswfswlaynasniaviopqcdqkryelycvoiboyxwkjw
uzemreqbmozmmduqhuifcspcfilvylbktxgtxmbzobtojbwj
pqrderlszfmzdwpjcpzyxlkxvafnsfrcnpannevrivjgdtqd
gjmwzmcluyhuyncapcupkcxkqrsefsmtagnaexqkdqazymly
wbgotgsdoqboofwsjwkheurehknxandmvzivzodbqdvqldyl
rstfgtnubhobfyrlerbaznmzxchpuhteprcppgxtkxlifvsf
iloyboenwajwapecrewrmezmstughuovcipcgzsmfscbaona
ydiqviufqsdqqhyulymjgwtgjmpzcpfoxbkxbqfdsfxsnfan
tuvhivpwdjqdhatngtdcbpobzejrwjvgrterrizvmznkhxuh
knqadqgpyclycrgetgytogbouvwijwqxekreibuohuedcqpc
afksxkwhsufssjawnaoliyvilorberhqzdmzdshfuhzuphcp
vwxjkxryflsfjcvpivfedrqdbgltylxitvgttkbxobpmjzwj

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: lorber
Cipher: ybeore

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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: lorber
Cipher: 134324215124

Extended Methods:
Method #1

Plaintext: lorber
method variations:
qtwgkwvybmpbadgrugfimwzm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
l o r b e r 
1 4 2 2 5 2 
3 3 4 1 1 4 
They are then read out in rows:
142252334114
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: lorber
Cipher: qgkndq

Read more ...
Method #3

Plaintext: lorber
method variations:
shivfd hivfds ivfdsh
vfdshi fdshiv dshivf

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: lorber

all 720 cipher variations:
lorber lorbre lorebr lorerb lorreb lorrbe lobrer lobrre loberr loberr lobrer
lobrre loebrr loebrr loerbr loerrb loerrb loerbr lorber lorbre lorebr lorerb
lorreb lorrbe lrober lrobre lroebr lroerb lroreb lrorbe lrboer lrbore lrbeor
lrbero lrbreo lrbroe lrebor lrebro lreobr lreorb lrerob lrerbo lrrbeo lrrboe
lrrebo lrreob lrroeb lrrobe lbroer lbrore lbreor lbrero lbrreo lbrroe lborer
lborre lboerr lboerr lborer lborre lbeorr lbeorr lberor lberro lberro lberor
lbroer lbrore lbreor lbrero lbrreo lbrroe lerbor lerbro lerobr lerorb lerrob
lerrbo lebror lebrro leborr leborr lebror lebrro leobrr leobrr leorbr leorrb
leorrb leorbr lerbor lerbro lerobr lerorb lerrob lerrbo lrrbeo lrrboe lrrebo
lrreob lrroeb lrrobe lrbreo lrbroe lrbero lrbeor lrboer lrbore lrebro lrebor
lrerbo lrerob lreorb lreobr lrober lrobre lroebr lroerb lroreb lrorbe olrber
olrbre olrebr olrerb olrreb olrrbe olbrer olbrre olberr olberr olbrer olbrre
olebrr olebrr olerbr olerrb olerrb olerbr olrber olrbre olrebr olrerb olrreb
olrrbe orlber orlbre orlebr orlerb orlreb orlrbe orbler orblre orbelr orberl
orbrel orbrle oreblr orebrl orelbr orelrb orerlb orerbl orrbel orrble orrebl
orrelb orrleb orrlbe obrler obrlre obrelr obrerl obrrel obrrle oblrer oblrre
oblerr oblerr oblrer oblrre obelrr obelrr oberlr oberrl oberrl oberlr obrler
obrlre obrelr obrerl obrrel obrrle oerblr oerbrl oerlbr oerlrb oerrlb oerrbl
oebrlr oebrrl oeblrr oeblrr oebrlr oebrrl oelbrr oelbrr oelrbr oelrrb oelrrb
oelrbr oerblr oerbrl oerlbr oerlrb oerrlb oerrbl orrbel orrble orrebl orrelb
orrleb orrlbe orbrel orbrle orberl orbelr orbler orblre orebrl oreblr orerbl
orerlb orelrb orelbr orlber orlbre orlebr orlerb orlreb orlrbe rolber rolbre
rolebr rolerb rolreb rolrbe robler roblre robelr roberl robrel robrle roeblr
roebrl roelbr roelrb roerlb roerbl rorbel rorble rorebl rorelb rorleb rorlbe
rlober rlobre rloebr rloerb rloreb rlorbe rlboer rlbore rlbeor rlbero rlbreo
rlbroe rlebor rlebro rleobr rleorb rlerob rlerbo rlrbeo rlrboe rlrebo rlreob
rlroeb rlrobe rbloer rblore rbleor rblero rblreo rblroe rboler rbolre rboelr
rboerl rborel rborle rbeolr rbeorl rbelor rbelro rberlo rberol rbroel rbrole
rbreol rbrelo rbrleo rbrloe relbor relbro relobr relorb relrob relrbo reblor
reblro rebolr reborl rebrol rebrlo reoblr reobrl reolbr reolrb reorlb reorbl
rerbol rerblo rerobl rerolb rerlob rerlbo rrlbeo rrlboe rrlebo rrleob rrloeb
rrlobe rrbleo rrbloe rrbelo rrbeol rrboel rrbole rreblo rrebol rrelbo rrelob
rreolb rreobl rrobel rroble rroebl rroelb rroleb rrolbe borler borlre borelr
borerl borrel borrle bolrer bolrre bolerr bolerr bolrer bolrre boelrr boelrr
boerlr boerrl boerrl boerlr borler borlre borelr borerl borrel borrle broler
brolre broelr broerl brorel brorle brloer brlore brleor brlero brlreo brlroe
brelor brelro breolr breorl brerol brerlo brrleo brrloe brrelo brreol brroel
brrole blroer blrore blreor blrero blrreo blrroe blorer blorre bloerr bloerr
blorer blorre bleorr bleorr bleror blerro blerro bleror blroer blrore blreor
blrero blrreo blrroe berlor berlro berolr berorl berrol berrlo belror belrro
belorr belorr belror belrro beolrr beolrr beorlr beorrl beorrl beorlr berlor
berlro berolr berorl berrol berrlo brrleo brrloe brrelo brreol brroel brrole
brlreo brlroe brlero brleor brloer brlore brelro brelor brerlo brerol breorl
breolr broler brolre broelr broerl brorel brorle eorblr eorbrl eorlbr eorlrb
eorrlb eorrbl eobrlr eobrrl eoblrr eoblrr eobrlr eobrrl eolbrr eolbrr eolrbr
eolrrb eolrrb eolrbr eorblr eorbrl eorlbr eorlrb eorrlb eorrbl eroblr erobrl
erolbr erolrb erorlb erorbl erbolr erborl erblor erblro erbrlo erbrol erlbor
erlbro erlobr erlorb erlrob erlrbo errblo errbol errlbo errlob errolb errobl
ebrolr ebrorl ebrlor ebrlro ebrrlo ebrrol eborlr eborrl ebolrr ebolrr eborlr
eborrl eblorr eblorr eblror eblrro eblrro eblror ebrolr ebrorl ebrlor ebrlro
ebrrlo ebrrol elrbor elrbro elrobr elrorb elrrob elrrbo elbror elbrro elborr
elborr elbror elbrro elobrr elobrr elorbr elorrb elorrb elorbr elrbor elrbro
elrobr elrorb elrrob elrrbo errblo errbol errlbo errlob errolb errobl erbrlo
erbrol erblro erblor erbolr erborl erlbro erlbor erlrbo erlrob erlorb erlobr
eroblr erobrl erolbr erolrb erorlb erorbl rorbel rorble rorebl rorelb rorleb
rorlbe robrel robrle roberl robelr robler roblre roebrl roeblr roerbl roerlb
roelrb roelbr rolber rolbre rolebr rolerb rolreb rolrbe rrobel rroble rroebl
rroelb rroleb rrolbe rrboel rrbole rrbeol rrbelo rrbleo rrbloe rrebol rreblo
rreobl rreolb rrelob rrelbo rrlbeo rrlboe rrlebo rrleob rrloeb rrlobe rbroel
rbrole rbreol rbrelo rbrleo rbrloe rborel rborle rboerl rboelr rboler rbolre
rbeorl rbeolr rberol rberlo rbelro rbelor rbloer rblore rbleor rblero rblreo
rblroe rerbol rerblo rerobl rerolb rerlob rerlbo rebrol rebrlo reborl rebolr
reblor reblro reobrl reoblr reorbl reorlb reolrb reolbr relbor relbro relobr
relorb relrob relrbo rlrbeo rlrboe rlrebo rlreob rlroeb rlrobe rlbreo rlbroe
rlbero rlbeor rlboer rlbore rlebro rlebor rlerbo rlerob rleorb rleobr rlober
rlobre rloebr rloerb rloreb rlorbe

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