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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: jeanne
cipher variations:
kfboof lgcppg mhdqqh nierri ojfssj
pkgttk qlhuul rmivvm snjwwn tokxxo
uplyyp vqmzzq wrnaar xsobbs ytpcct
zuqddu avreev bwsffw cxtggx dyuhhy
ezviiz fawjja gbxkkb hcyllc idzmmd

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: jeanne
Cipher: qvzmmv

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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: jeanne
Cipher: BBBAA AABAA AAAAA ABBAA ABBAA 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: jeanne
cipher variations:
kfboofcnboonuvboovmdboodelboolwtbootgjboojyrboor
qzboozihboohapboopsxbooxlgcppgdocppovwcppwnecppe
fmcppmxucppuhkcppkzscppsracppajicppibqcppqtycppy
mhdqqhepdqqpwxdqqxofdqqfgndqqnyvdqqvildqqlatdqqt
sbdqqbkjdqqjcrdqqruzdqqznierrifqerrqxyerrypgerrg
hoerrozwerrwjmerrmbuerrutcerrclkerrkdserrsvaerra
ojfssjgrfssryzfsszqhfsshipfsspaxfssxknfssncvfssv
udfssdmlfssletfsstwbfssbpkgttkhsgttszagttarigtti
jqgttqbygttylogttodwgttwvegttenmgttmfugttuxcgttc
qlhuulithuutabhuubsjhuujkrhuurczhuuzmphuupexhuux
wfhuufonhuungvhuuvydhuudrmivvmjuivvubcivvctkivvk
lsivvsdaivvanqivvqfyivvyxgivvgpoivvohwivvwzeivve
snjwwnkvjwwvcdjwwduljwwlmtjwwtebjwwborjwwrgzjwwz
yhjwwhqpjwwpixjwwxafjwwftokxxolwkxxwdekxxevmkxxm
nukxxufckxxcpskxxshakxxazikxxirqkxxqjykxxybgkxxg
uplyypmxlyyxeflyyfwnlyynovlyyvgdlyydqtlyytiblyyb
ajlyyjsrlyyrkzlyyzchlyyhvqmzzqnymzzyfgmzzgxomzzo
pwmzzwhemzzerumzzujcmzzcbkmzzktsmzzslamzzadimzzi
wrnaaroznaazghnaahypnaapqxnaaxifnaafsvnaavkdnaad
clnaalutnaatmbnaabejnaajxsobbspaobbahiobbizqobbq
ryobbyjgobbgtwobbwleobbedmobbmvuobbuncobbcfkobbk
ytpcctqbpccbijpccjarpccrszpcczkhpcchuxpccxmfpccf
enpccnwvpccvodpccdglpcclzuqddurcqddcjkqddkbsqdds
taqddaliqddivyqddyngqddgfoqddoxwqddwpeqddehmqddm
avreevsdreedklreelctreetubreebmjreejwzreezohreeh
gpreepyxreexqfreefinreenbwsffwtesffelmsffmdusffu
vcsffcnksffkxasffapisffihqsffqzysffyrgsffgjosffo
cxtggxuftggfmntggnevtggvwdtggdoltgglybtggbqjtggj
irtggraztggzshtgghkptggpdyuhhyvguhhgnouhhofwuhhw
xeuhhepmuhhmzcuhhcrkuhhkjsuhhsbauhhatiuhhilquhhq
ezviizwhviihopviipgxviixyfviifqnviinadviidslviil
ktviitcbviibujviijmrviirfawjjaxiwjjipqwjjqhywjjy
zgwjjgrowjjobewjjetmwjjmluwjjudcwjjcvkwjjknswjjs
gbxkkbyjxkkjqrxkkrizxkkzahxkkhspxkkpcfxkkfunxkkn
mvxkkvedxkkdwlxkklotxkkthcyllczkyllkrsyllsjaylla
biyllitqyllqdgyllgvoyllonwyllwfeyllexmyllmpuyllu
idzmmdalzmmlstzmmtkbzmmbcjzmmjurzmmrehzmmhwpzmmp
oxzmmxgfzmmfynzmmnqvzmmvjeannebmannmtuannulcannc
dkannkvsannsfiannixqannqpyannyhganngzoannorwannw

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: jeanne
Cipher: wrnaar

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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: jeanne
Cipher: 425111333351

Extended Methods:
Method #1

Plaintext: jeanne
method variations:
okfssktplxxpyuqccudzvhhz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
j e a n n e 
4 5 1 3 3 5 
2 1 1 3 3 1 
They are then read out in rows:
451335211331
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: jeanne
Cipher: ylxblc

Read more ...
Method #3

Plaintext: jeanne
method variations:
walnxq alnxqw lnxqwa
nxqwal xqwaln qwalnx

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: jeanne

all 720 cipher variations:
jeanne jeanen jeanne jeanen jeaenn jeaenn jenane jenaen jennae jennea jenena
jenean jennae jennea jenane jenaen jenean jenena jeenna jeenan jeenna jeenan
jeeann jeeann jaenne jaenen jaenne jaenen jaeenn jaeenn janene janeen jannee
jannee janene janeen jannee jannee janene janeen janeen janene jaenne jaenen
jaenne jaenen jaeenn jaeenn jnaene jnaeen jnanee jnanee jnaene jnaeen jneane
jneaen jnenae jnenea jneena jneean jnneae jnneea jnnaee jnnaee jnneae jnneea
jneena jneean jnenea jnenae jneane jneaen jnanee jnanee jnaene jnaeen jnaeen
jnaene jnnaee jnnaee jnneae jnneea jnneea jnneae jnenae jnenea jneane jneaen
jneean jneena jnenea jnenae jneena jneean jneaen jneane jeanne jeanen jeanne
jeanen jeaenn jeaenn jenane jenaen jennae jennea jenena jenean jennae jennea
jenane jenaen jenean jenena jeenna jeenan jeenna jeenan jeeann jeeann ejanne
ejanen ejanne ejanen ejaenn ejaenn ejnane ejnaen ejnnae ejnnea ejnena ejnean
ejnnae ejnnea ejnane ejnaen ejnean ejnena ejenna ejenan ejenna ejenan ejeann
ejeann eajnne eajnen eajnne eajnen eajenn eajenn eanjne eanjen eannje eannej
eanenj eanejn eannje eannej eanjne eanjen eanejn eanenj eaennj eaenjn eaennj
eaenjn eaejnn eaejnn enajne enajen enanje enanej enaenj enaejn enjane enjaen
enjnae enjnea enjena enjean ennjae ennjea ennaje ennaej enneaj enneja enejna
enejan enenja enenaj eneanj eneajn enanje enanej enajne enajen enaejn enaenj
ennaje ennaej ennjae ennjea enneja enneaj enjnae enjnea enjane enjaen enjean
enjena enenja enenaj enejna enejan eneajn eneanj eeannj eeanjn eeannj eeanjn
eeajnn eeajnn eenanj eenajn eennaj eennja eenjna eenjan eennaj eennja eenanj
eenajn eenjan eenjna eejnna eejnan eejnna eejnan eejann eejann aejnne aejnen
aejnne aejnen aejenn aejenn aenjne aenjen aennje aennej aenenj aenejn aennje
aennej aenjne aenjen aenejn aenenj aeennj aeenjn aeennj aeenjn aeejnn aeejnn
ajenne ajenen ajenne ajenen ajeenn ajeenn ajnene ajneen ajnnee ajnnee ajnene
ajneen ajnnee ajnnee ajnene ajneen ajneen ajnene ajenne ajenen ajenne ajenen
ajeenn ajeenn anjene anjeen anjnee anjnee anjene anjeen anejne anejen anenje
anenej aneenj aneejn anneje anneej annjee annjee anneje anneej aneenj aneejn
anenej anenje anejne anejen anjnee anjnee anjene anjeen anjeen anjene annjee
annjee anneje anneej anneej anneje anenje anenej anejne anejen aneejn aneenj
anenej anenje aneenj aneejn anejen anejne aejnne aejnen aejnne aejnen aejenn
aejenn aenjne aenjen aennje aennej aenenj aenejn aennje aennej aenjne aenjen
aenejn aenenj aeennj aeenjn aeennj aeenjn aeejnn aeejnn neajne neajen neanje
neanej neaenj neaejn nejane nejaen nejnae nejnea nejena nejean nenjae nenjea
nenaje nenaej neneaj neneja neejna neejan neenja neenaj neeanj neeajn naejne
naejen naenje naenej naeenj naeejn najene najeen najnee najnee najene najeen
nanjee nanjee naneje naneej naneej naneje naejne naejen naenje naenej naeenj
naeejn njaene njaeen njanee njanee njaene njaeen njeane njeaen njenae njenea
njeena njeean njneae njneea njnaee njnaee njneae njneea njeena njeean njenea
njenae njeane njeaen nnajee nnajee nnaeje nnaeej nnaeej nnaeje nnjaee nnjaee
nnjeae nnjeea nnjeea nnjeae nnejae nnejea nneaje nneaej nneeaj nneeja nnejea
nnejae nneeja nneeaj nneaej nneaje neajne neajen neanje neanej neaenj neaejn
nejane nejaen nejnae nejnea nejena nejean nenjae nenjea nenaje nenaej neneaj
neneja neejna neejan neenja neenaj neeanj neeajn neanje neanej neajne neajen
neaejn neaenj nenaje nenaej nenjae nenjea neneja neneaj nejnae nejnea nejane
nejaen nejean nejena neenja neenaj neejna neejan neeajn neeanj naenje naenej
naejne naejen naeejn naeenj naneje naneej nanjee nanjee naneje naneej najnee
najnee najene najeen najeen najene naenje naenej naejne naejen naeejn naeenj
nnaeje nnaeej nnajee nnajee nnaeje nnaeej nneaje nneaej nnejae nnejea nneeja
nneeaj nnjeae nnjeea nnjaee nnjaee nnjeae nnjeea nneeja nneeaj nnejea nnejae
nneaje nneaej njanee njanee njaene njaeen njaeen njaene njnaee njnaee njneae
njneea njneea njneae njenae njenea njeane njeaen njeean njeena njenea njenae
njeena njeean njeaen njeane neanje neanej neajne neajen neaejn neaenj nenaje
nenaej nenjae nenjea neneja neneaj nejnae nejnea nejane nejaen nejean nejena
neenja neenaj neejna neejan neeajn neeanj eeannj eeanjn eeannj eeanjn eeajnn
eeajnn eenanj eenajn eennaj eennja eenjna eenjan eennaj eennja eenanj eenajn
eenjan eenjna eejnna eejnan eejnna eejnan eejann eejann eaennj eaenjn eaennj
eaenjn eaejnn eaejnn eanenj eanejn eannej eannje eanjne eanjen eannej eannje
eanenj eanejn eanjen eanjne eajnne eajnen eajnne eajnen eajenn eajenn enaenj
enaejn enanej enanje enajne enajen eneanj eneajn enenaj enenja enejna enejan
enneaj enneja ennaej ennaje ennjae ennjea enjena enjean enjnea enjnae enjane
enjaen enanej enanje enaenj enaejn enajen enajne ennaej ennaje enneaj enneja
ennjea ennjae enenaj enenja eneanj eneajn enejan enejna enjnea enjnae enjena
enjean enjaen enjane ejanne ejanen ejanne ejanen ejaenn ejaenn ejnane ejnaen
ejnnae ejnnea ejnena ejnean ejnnae ejnnea ejnane ejnaen ejnean ejnena ejenna
ejenan ejenna ejenan ejeann ejeann

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