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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: mahali
cipher variations:
nbibmj ocjcnk pdkdol qelepm rfmfqn
sgngro thohsp uipitq vjqjur wkrkvs
xlslwt ymtmxu znunyv aovozw bpwpax
cqxqby dryrcz eszsda ftateb gubufc
hvcvgd iwdwhe jxexif kyfyjg lzgzkh

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: mahali
Cipher: nzszor

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: mahali
Cipher: ABABB AAAAA AABBB AAAAA ABABA ABAAA

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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: mahali
cipher variations:
nbibmjlbwbizjbkbephbybaffbmbwvdbabslzbcbkrxbqbgh
vbebcxtbsbynrbgbudpbubqtocjcnkmcxcjakclcfqiczcbg
gcncxwecbctmacdclsycrchiwcfcdyuctczoschcveqcvcru
pdkdolndydkbldmdgrjdadchhdodyxfdcdunbdedmtzdsdij
xdgdezvdudaptdidwfrdwdsvqelepmoezelcmenehskebedi
iepezygedevocefenuaetejkyehefawevebquejexgsexetw
rfmfqnpfafmdnfofitlfcfejjfqfazhfefwpdfgfovbfufkl
zfifgbxfwfcrvfkfyhtfyfuxsgngroqgbgneogpgjumgdgfk
kgrgbaigfgxqeghgpwcgvglmagjghcygxgdswglgziugzgvy
thohsprhchofphqhkvnhehgllhshcbjhghyrfhihqxdhwhmn
bhkhidzhyhetxhmhajvhahwzuipitqsidipgqirilwoifihm
mitidckihizsgijiryeixinocilijeaizifuyinibkwibixa
vjqjurtjejqhrjsjmxpjgjinnjujedljijathjkjszfjyjop
djmjkfbjajgvzjojclxjcjybwkrkvsukfkrisktknyqkhkjo
okvkfemkjkbuiklktagkzkpqeknklgckbkhwakpkdmykdkzc
xlslwtvlglsjtlulozrlilkpplwlgfnlklcvjlmlubhlalqr
flolmhdlclixblqlenzleladymtmxuwmhmtkumvmpasmjmlq
qmxmhgomlmdwkmnmvcimbmrsgmpmniemdmjycmrmfoamfmbe
znunyvxninulvnwnqbtnknmrrnynihpnmnexlnonwdjncnst
hnqnojfnenkzdnsngpbngncfaovozwyojovmwoxorcuolons
sozojiqonofymopoxekodotuioropkgofolaeotohqcohodg
bpwpaxzpkpwnxpypsdvpmpottpapkjrpopgznpqpyflpepuv
jpspqlhpgpmbfpupirdpipehcqxqbyaqlqxoyqzqtewqnqpu
uqbqlksqpqhaoqrqzgmqfqvwkqtqrmiqhqncgqvqjseqjqfi
dryrczbrmrypzrarufxrorqvvrcrmltrqribprsrahnrgrwx
lrursnjrirodhrwrktfrkrgjeszsdacsnszqasbsvgyspsrw
wsdsnmusrsjcqstsbioshsxymsvstoksjspeisxslugslshk
ftatebdtotarbtctwhztqtsxxtetonvtstkdrtutcjptityz
ntwtupltktqfjtytmvhtmtilgubufceupubscuduxiauruty
yufupowutulesuvudkqujuzaouxuvqmulurgkuzunwiunujm
hvcvgdfvqvctdvevyjbvsvuzzvgvqpxvuvmftvwvelrvkvab
pvyvwrnvmvshlvavoxjvovkniwdwhegwrwduewfwzkcwtwva
awhwrqywvwnguwxwfmswlwbcqwzwxsownwtimwbwpykwpwlo
jxexifhxsxevfxgxaldxuxwbbxixsrzxwxohvxyxgntxmxcd
rxaxytpxoxujnxcxqzlxqxmpkyfyjgiytyfwgyhybmeyvyxc
cyjytsayxypiwyzyhouynydesybyzuqypyvkoydyramyrynq
lzgzkhjzuzgxhzizcnfzwzyddzkzutbzyzqjxzazipvzozef
tzczavrzqzwlpzezsbnzszormahalikavahyiajadogaxaze
ealavucazarkyabajqwapafguadabwsaraxmqafatcoataps

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: mahali
Cipher: znunyv

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: mahali
Cipher: 231132111342

Extended Methods:
Method #1

Plaintext: mahali
method variations:
rfnfqowlslvtbqxqaygvcvfd

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m a h a l i 
2 1 3 1 1 4 
3 1 2 1 3 2 
They are then read out in rows:
213114312132
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: mahali
Cipher: bcqcbh

Read more ...
Method #3

Plaintext: mahali
method variations:
clbasg lbasgc basgcl
asgclb sgclba gclbas

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: mahali

all 720 cipher variations:
mahali mahail mahlai mahlia mahila mahial maahli maahil maalhi maalih maailh
maaihl malahi malaih malhai malhia maliha maliah maialh maiahl mailah mailha
maihla maihal mhaali mhaail mhalai mhalia mhaila mhaial mhaali mhaail mhalai
mhalia mhaila mhaial mhlaai mhlaia mhlaai mhlaia mhliaa mhliaa mhiala mhiaal
mhilaa mhilaa mhiala mhiaal mahali mahail mahlai mahlia mahila mahial maahli
maahil maalhi maalih maailh maaihl malahi malaih malhai malhia maliha maliah
maialh maiahl mailah mailha maihla maihal mlhaai mlhaia mlhaai mlhaia mlhiaa
mlhiaa mlahai mlahia mlaahi mlaaih mlaiah mlaiha mlaahi mlaaih mlahai mlahia
mlaiha mlaiah mliaah mliaha mliaah mliaha mlihaa mlihaa mihala mihaal mihlaa
mihlaa mihala mihaal miahla miahal mialha mialah miaalh miaahl milaha milaah
milhaa milhaa milaha milaah miaalh miaahl mialah mialha miahla miahal amhali
amhail amhlai amhlia amhila amhial amahli amahil amalhi amalih amailh amaihl
amlahi amlaih amlhai amlhia amliha amliah amialh amiahl amilah amilha amihla
amihal ahmali ahmail ahmlai ahmlia ahmila ahmial ahamli ahamil ahalmi ahalim
ahailm ahaiml ahlami ahlaim ahlmai ahlmia ahlima ahliam ahialm ahiaml ahilam
ahilma ahimla ahimal aahmli aahmil aahlmi aahlim aahilm aahiml aamhli aamhil
aamlhi aamlih aamilh aamihl aalmhi aalmih aalhmi aalhim aalihm aalimh aaimlh
aaimhl aailmh aailhm aaihlm aaihml alhami alhaim alhmai alhmia alhima alhiam
alahmi alahim alamhi alamih alaimh alaihm almahi almaih almhai almhia almiha
almiah aliamh aliahm alimah alimha alihma aliham aihalm aihaml aihlam aihlma
aihmla aihmal aiahlm aiahml aialhm aialmh aiamlh aiamhl ailahm ailamh ailham
ailhma ailmha ailmah aimalh aimahl aimlah aimlha aimhla aimhal hamali hamail
hamlai hamlia hamila hamial haamli haamil haalmi haalim haailm haaiml halami
halaim halmai halmia halima haliam haialm haiaml hailam hailma haimla haimal
hmaali hmaail hmalai hmalia hmaila hmaial hmaali hmaail hmalai hmalia hmaila
hmaial hmlaai hmlaia hmlaai hmlaia hmliaa hmliaa hmiala hmiaal hmilaa hmilaa
hmiala hmiaal hamali hamail hamlai hamlia hamila hamial haamli haamil haalmi
haalim haailm haaiml halami halaim halmai halmia halima haliam haialm haiaml
hailam hailma haimla haimal hlmaai hlmaia hlmaai hlmaia hlmiaa hlmiaa hlamai
hlamia hlaami hlaaim hlaiam hlaima hlaami hlaaim hlamai hlamia hlaima hlaiam
hliaam hliama hliaam hliama hlimaa hlimaa himala himaal himlaa himlaa himala
himaal hiamla hiamal hialma hialam hiaalm hiaaml hilama hilaam hilmaa hilmaa
hilama hilaam hiaalm hiaaml hialam hialma hiamla hiamal aahmli aahmil aahlmi
aahlim aahilm aahiml aamhli aamhil aamlhi aamlih aamilh aamihl aalmhi aalmih
aalhmi aalhim aalihm aalimh aaimlh aaimhl aailmh aailhm aaihlm aaihml ahamli
ahamil ahalmi ahalim ahailm ahaiml ahmali ahmail ahmlai ahmlia ahmila ahmial
ahlmai ahlmia ahlami ahlaim ahliam ahlima ahimla ahimal ahilma ahilam ahialm
ahiaml amhali amhail amhlai amhlia amhila amhial amahli amahil amalhi amalih
amailh amaihl amlahi amlaih amlhai amlhia amliha amliah amialh amiahl amilah
amilha amihla amihal alhmai alhmia alhami alhaim alhiam alhima almhai almhia
almahi almaih almiah almiha alamhi alamih alahmi alahim alaihm alaimh alimah
alimha aliamh aliahm aliham alihma aihmla aihmal aihlma aihlam aihalm aihaml
aimhla aimhal aimlha aimlah aimalh aimahl ailmha ailmah ailhma ailham ailahm
ailamh aiamlh aiamhl aialmh aialhm aiahlm aiahml lahami lahaim lahmai lahmia
lahima lahiam laahmi laahim laamhi laamih laaimh laaihm lamahi lamaih lamhai
lamhia lamiha lamiah laiamh laiahm laimah laimha laihma laiham lhaami lhaaim
lhamai lhamia lhaima lhaiam lhaami lhaaim lhamai lhamia lhaima lhaiam lhmaai
lhmaia lhmaai lhmaia lhmiaa lhmiaa lhiama lhiaam lhimaa lhimaa lhiama lhiaam
lahami lahaim lahmai lahmia lahima lahiam laahmi laahim laamhi laamih laaimh
laaihm lamahi lamaih lamhai lamhia lamiha lamiah laiamh laiahm laimah laimha
laihma laiham lmhaai lmhaia lmhaai lmhaia lmhiaa lmhiaa lmahai lmahia lmaahi
lmaaih lmaiah lmaiha lmaahi lmaaih lmahai lmahia lmaiha lmaiah lmiaah lmiaha
lmiaah lmiaha lmihaa lmihaa lihama lihaam lihmaa lihmaa lihama lihaam liahma
liaham liamha liamah liaamh liaahm limaha limaah limhaa limhaa limaha limaah
liaamh liaahm liamah liamha liahma liaham iahalm iahaml iahlam iahlma iahmla
iahmal iaahlm iaahml iaalhm iaalmh iaamlh iaamhl ialahm ialamh ialham ialhma
ialmha ialmah iamalh iamahl iamlah iamlha iamhla iamhal ihaalm ihaaml ihalam
ihalma ihamla ihamal ihaalm ihaaml ihalam ihalma ihamla ihamal ihlaam ihlama
ihlaam ihlama ihlmaa ihlmaa ihmala ihmaal ihmlaa ihmlaa ihmala ihmaal iahalm
iahaml iahlam iahlma iahmla iahmal iaahlm iaahml iaalhm iaalmh iaamlh iaamhl
ialahm ialamh ialham ialhma ialmha ialmah iamalh iamahl iamlah iamlha iamhla
iamhal ilhaam ilhama ilhaam ilhama ilhmaa ilhmaa ilaham ilahma ilaahm ilaamh
ilamah ilamha ilaahm ilaamh ilaham ilahma ilamha ilamah ilmaah ilmaha ilmaah
ilmaha ilmhaa ilmhaa imhala imhaal imhlaa imhlaa imhala imhaal imahla imahal
imalha imalah imaalh imaahl imlaha imlaah imlhaa imlhaa imlaha imlaah imaalh
imaahl imalah imalha imahla imahal

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

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