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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: bitbox
cipher variations:
cjucpy dkvdqz elwera fmxfsb gnygtc
hozhud ipaive jqbjwf krckxg lsdlyh
mtemzi nufnaj ovgobk pwhpcl qxiqdm
ryjren szksfo taltgp ubmuhq vcnvir
wdowjs xepxkt yfqylu zgrzmv ahsanw

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.)
Read more ...
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: bitbox
Cipher: yrgylc

Read more ...

 

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: bitbox
Cipher: AAAAB ABAAA BAABA AAAAB ABBAB BABAB

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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: bitbox
cipher variations:
cjucpyezgersgpsgtmifeivgkvqkxamlcmzuqraqdishmsfc
uxyuhwwnkwjqydwylkatianedkvdqzfahfsthqthunjgfjwh
lwrlybnmdnavrsbrejtintgdvyzvixxolxkrzexzmlbujbof
elweragbigtuiruivokhgkximxsmzconeobwstcsfkujouhe
wzawjyypmylsafyanmcvkcpgfmxfsbhcjhuvjsvjwplihlyj
nytnadpofpcxtudtglvkpvifxabxkzzqnzmtbgzbondwldqh
gnygtcidkivwktwkxqmjimzkozuobeqpgqdyuveuhmwlqwjg
ybcylaaroanuchacpoexmerihozhudjeljwxluxlyrnkjnal
pavpcfrqhrezvwfvinxmrxkhzcdzmbbspbovdibdqpfynfsj
ipaivekfmkxymvymzsolkobmqbwqdgsrisfawxgwjoynsyli
adeancctqcpwejcerqgzogtkjqbjwflgnlyznwznatpmlpcn
rcxrehtsjtgbxyhxkpzotzmjbefboddurdqxfkdfsrhaphul
krckxgmhomzaoxaobuqnmqdosdysfiutkuhcyziylqapuank
cfgcpeevseryglegtsibqivmlsdlyhnipnabpybpcvronrep
teztgjvulvidzajzmrbqvboldghdqffwtfszhmfhutjcrjwn
mtemziojqobcqzcqdwsposfqufauhkwvmwjeabkanscrwcpm
ehierggxugtaingivukdskxonufnajpkrpcdradrextqptgr
vgbvilxwnxkfbclbotdsxdqnfijfshhyvhubjohjwvletlyp
ovgobkqlsqdesbesfyurquhswhcwjmyxoylgcdmcpuetyero
gjkgtiizwivckpikxwmfumzqpwhpclrmtreftcftgzvsrvit
xidxknzypzmhdendqvfuzfsphklhujjaxjwdlqjlyxngvnar
qxiqdmsnusfgudguhawtswjuyjeyloazqaniefoerwgvagtq
ilmivkkbykxemrkmzyohwobsryjrentovtghvehvibxutxkv
zkfzmpbarbojfgpfsxhwbhurjmnjwllczlyfnslnazpixpct
szksfoupwuhiwfiwjcyvuylwalganqcbscpkghqgtyixcivs
knokxmmdamzgotmobaqjyqdutaltgpvqxvijxgjxkdzwvzmx
bmhbordctdqlhirhuzjydjwtloplynnebnahpunpcbrkzrev
ubmuhqwrywjkyhkyleaxwanycnicpseduermijsivakzekxu
mpqmzoofcobiqvoqdcslasfwvcnvirxszxklzilzmfbyxboz
dojdqtfevfsnjktjwblaflyvnqrnappgdpcjrwpredtmbtgx
wdowjsytaylmajmangczycpaepkerugfwgtoklukxcmbgmzw
orsobqqheqdksxqsfeuncuhyxepxktzubzmnbknbohdazdqb
fqlfsvhgxhuplmvlydnchnaxpstpcrrifreltyrtgfvodviz
yfqyluavcanoclocpiebaercgrmgtwihyivqmnwmzeodioby
qtuqdssjgsfmuzsuhgwpewjazgrzmvbwdbopdmpdqjfcbfsd
hsnhuxjizjwrnoxnafpejpczruvrettkhtgnvatvihxqfxkb
ahsanwcxecpqenqerkgdcgteitoivykjakxsopyobgqfkqda
svwsfuuliuhowbuwjiyrgylcbitboxdyfdqrforfslhedhuf
jupjwzlkblytpqzpchrglrebtwxtgvvmjvipxcvxkjzshzmd

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,

Read more ...

 

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: bitbox
Cipher: ovgobk

Read more ...

 

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: bitbox
Cipher: 214244214335

Extended Methods:
Method #1

Plaintext: bitbox
method variations:
goygtcmtdmyhryirdnwdowis

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b i t b o x 
2 4 4 2 4 3 
1 2 4 1 3 5 
They are then read out in rows:
244243124135
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: bitbox
Cipher: riofdx

Read more ...
Method #3

Plaintext: bitbox
method variations:
qriqnk riqnkq iqnkqr
qnkqri nkqriq kqriqn

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: bitbox

all 720 cipher variations:
bitbox bitbxo bitobx bitoxb bitxob bitxbo bibtox bibtxo bibotx biboxt bibxot
bibxto biobtx biobxt biotbx biotxb bioxtb bioxbt bixbot bixbto bixobt bixotb
bixtob bixtbo btibox btibxo btiobx btioxb btixob btixbo btbiox btbixo btboix
btboxi btbxoi btbxio btobix btobxi btoibx btoixb btoxib btoxbi btxboi btxbio
btxobi btxoib btxiob btxibo bbtiox bbtixo bbtoix bbtoxi bbtxoi bbtxio bbitox
bbitxo bbiotx bbioxt bbixot bbixto bboitx bboixt bbotix bbotxi bboxti bboxit
bbxiot bbxito bbxoit bbxoti bbxtoi bbxtio botbix botbxi botibx botixb botxib
botxbi bobtix bobtxi bobitx bobixt bobxit bobxti boibtx boibxt boitbx boitxb
boixtb boixbt boxbit boxbti boxibt boxitb boxtib boxtbi bxtboi bxtbio bxtobi
bxtoib bxtiob bxtibo bxbtoi bxbtio bxboti bxboit bxbiot bxbito bxobti bxobit
bxotbi bxotib bxoitb bxoibt bxibot bxibto bxiobt bxiotb bxitob bxitbo ibtbox
ibtbxo ibtobx ibtoxb ibtxob ibtxbo ibbtox ibbtxo ibbotx ibboxt ibbxot ibbxto
ibobtx ibobxt ibotbx ibotxb iboxtb iboxbt ibxbot ibxbto ibxobt ibxotb ibxtob
ibxtbo itbbox itbbxo itbobx itboxb itbxob itbxbo itbbox itbbxo itbobx itboxb
itbxob itbxbo itobbx itobxb itobbx itobxb itoxbb itoxbb itxbob itxbbo itxobb
itxobb itxbob itxbbo ibtbox ibtbxo ibtobx ibtoxb ibtxob ibtxbo ibbtox ibbtxo
ibbotx ibboxt ibbxot ibbxto ibobtx ibobxt ibotbx ibotxb iboxtb iboxbt ibxbot
ibxbto ibxobt ibxotb ibxtob ibxtbo iotbbx iotbxb iotbbx iotbxb iotxbb iotxbb
iobtbx iobtxb iobbtx iobbxt iobxbt iobxtb iobbtx iobbxt iobtbx iobtxb iobxtb
iobxbt ioxbbt ioxbtb ioxbbt ioxbtb ioxtbb ioxtbb ixtbob ixtbbo ixtobb ixtobb
ixtbob ixtbbo ixbtob ixbtbo ixbotb ixbobt ixbbot ixbbto ixobtb ixobbt ixotbb
ixotbb ixobtb ixobbt ixbbot ixbbto ixbobt ixbotb ixbtob ixbtbo tibbox tibbxo
tibobx tiboxb tibxob tibxbo tibbox tibbxo tibobx tiboxb tibxob tibxbo tiobbx
tiobxb tiobbx tiobxb tioxbb tioxbb tixbob tixbbo tixobb tixobb tixbob tixbbo
tbibox tbibxo tbiobx tbioxb tbixob tbixbo tbbiox tbbixo tbboix tbboxi tbbxoi
tbbxio tbobix tbobxi tboibx tboixb tboxib tboxbi tbxboi tbxbio tbxobi tbxoib
tbxiob tbxibo tbbiox tbbixo tbboix tbboxi tbbxoi tbbxio tbibox tbibxo tbiobx
tbioxb tbixob tbixbo tboibx tboixb tbobix tbobxi tboxbi tboxib tbxiob tbxibo
tbxoib tbxobi tbxboi tbxbio tobbix tobbxi tobibx tobixb tobxib tobxbi tobbix
tobbxi tobibx tobixb tobxib tobxbi toibbx toibxb toibbx toibxb toixbb toixbb
toxbib toxbbi toxibb toxibb toxbib toxbbi txbboi txbbio txbobi txboib txbiob
txbibo txbboi txbbio txbobi txboib txbiob txbibo txobbi txobib txobbi txobib
txoibb txoibb txibob txibbo txiobb txiobb txibob txibbo bitbox bitbxo bitobx
bitoxb bitxob bitxbo bibtox bibtxo bibotx biboxt bibxot bibxto biobtx biobxt
biotbx biotxb bioxtb bioxbt bixbot bixbto bixobt bixotb bixtob bixtbo btibox
btibxo btiobx btioxb btixob btixbo btbiox btbixo btboix btboxi btbxoi btbxio
btobix btobxi btoibx btoixb btoxib btoxbi btxboi btxbio btxobi btxoib btxiob
btxibo bbtiox bbtixo bbtoix bbtoxi bbtxoi bbtxio bbitox bbitxo bbiotx bbioxt
bbixot bbixto bboitx bboixt bbotix bbotxi bboxti bboxit bbxiot bbxito bbxoit
bbxoti bbxtoi bbxtio botbix botbxi botibx botixb botxib botxbi bobtix bobtxi
bobitx bobixt bobxit bobxti boibtx boibxt boitbx boitxb boixtb boixbt boxbit
boxbti boxibt boxitb boxtib boxtbi bxtboi bxtbio bxtobi bxtoib bxtiob bxtibo
bxbtoi bxbtio bxboti bxboit bxbiot bxbito bxobti bxobit bxotbi bxotib bxoitb
bxoibt bxibot bxibto bxiobt bxiotb bxitob bxitbo oitbbx oitbxb oitbbx oitbxb
oitxbb oitxbb oibtbx oibtxb oibbtx oibbxt oibxbt oibxtb oibbtx oibbxt oibtbx
oibtxb oibxtb oibxbt oixbbt oixbtb oixbbt oixbtb oixtbb oixtbb otibbx otibxb
otibbx otibxb otixbb otixbb otbibx otbixb otbbix otbbxi otbxbi otbxib otbbix
otbbxi otbibx otbixb otbxib otbxbi otxbbi otxbib otxbbi otxbib otxibb otxibb
obtibx obtixb obtbix obtbxi obtxbi obtxib obitbx obitxb obibtx obibxt obixbt
obixtb obbitx obbixt obbtix obbtxi obbxti obbxit obxibt obxitb obxbit obxbti
obxtbi obxtib obtbix obtbxi obtibx obtixb obtxib obtxbi obbtix obbtxi obbitx
obbixt obbxit obbxti obibtx obibxt obitbx obitxb obixtb obixbt obxbit obxbti
obxibt obxitb obxtib obxtbi oxtbbi oxtbib oxtbbi oxtbib oxtibb oxtibb oxbtbi
oxbtib oxbbti oxbbit oxbibt oxbitb oxbbti oxbbit oxbtbi oxbtib oxbitb oxbibt
oxibbt oxibtb oxibbt oxibtb oxitbb oxitbb xitbob xitbbo xitobb xitobb xitbob
xitbbo xibtob xibtbo xibotb xibobt xibbot xibbto xiobtb xiobbt xiotbb xiotbb
xiobtb xiobbt xibbot xibbto xibobt xibotb xibtob xibtbo xtibob xtibbo xtiobb
xtiobb xtibob xtibbo xtbiob xtbibo xtboib xtbobi xtbboi xtbbio xtobib xtobbi
xtoibb xtoibb xtobib xtobbi xtbboi xtbbio xtbobi xtboib xtbiob xtbibo xbtiob
xbtibo xbtoib xbtobi xbtboi xbtbio xbitob xbitbo xbiotb xbiobt xbibot xbibto
xboitb xboibt xbotib xbotbi xbobti xbobit xbbiot xbbito xbboit xbboti xbbtoi
xbbtio xotbib xotbbi xotibb xotibb xotbib xotbbi xobtib xobtbi xobitb xobibt
xobbit xobbti xoibtb xoibbt xoitbb xoitbb xoibtb xoibbt xobbit xobbti xobibt
xobitb xobtib xobtbi xbtboi xbtbio xbtobi xbtoib xbtiob xbtibo xbbtoi xbbtio
xbboti xbboit xbbiot xbbito xbobti xbobit xbotbi xbotib xboitb xboibt xbibot
xbibto xbiobt xbiotb xbitob xbitbo

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

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