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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: aduocamur
cipher variations:
bevpdbnvs cfwqecowt dgxrfdpxu ehysgeqyv fizthfrzw
gjauigsax hkbvjhtby ilcwkiucz jmdxljvda kneymkweb
lofznlxfc mpgaomygd nqhbpnzhe oricqoaif psjdrpbjg
qtkesqckh rulftrdli svmgusemj twnhvtfnk uxoiwugol
vypjxvhpm wzqkywiqn xarlzxjro ybsmayksp zctnbzltq

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: aduocamur
Cipher: zwflxznfi

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: aduocamur
Cipher: AAAAA AAABB BAABB ABBAB AAABA AAAAA ABABB BAABB BAAAA

Read more ...

 

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: aduocamur
cipher variations: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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: aduocamur
Cipher: nqhbpnzhe

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: aduocamur
Cipher: 114154433111235424

Extended Methods:
Method #1

Plaintext: aduocamur
method variations:
fizthfrzwloeynlwebqtkdsqbkgvypixvgpm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a d u o c a m u r 
1 4 5 4 3 1 2 5 2 
1 1 4 3 1 1 3 4 4 
They are then read out in rows:
145431252114311344
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: aduocamur
Cipher: qucwbqclt

Read more ...
Method #3

Plaintext: aduocamur
method variations:
qvtnafxid vtnafxidq tnafxidqv
nafxidqvt afxidqvtn fxidqvtna
xidqvtnaf idqvtnafx dqvtnafxi

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: aduocamur

first 5040 cipher variations(362880 total)
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aduoamurc aduoamruc aduoamrcu aduoaumcr aduoaumrc aduoaucmr aduoaucrm aduoaurcm aduoaurmc aduoarmuc aduoarmcu
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adauucomr adauucorm adauucrom adauucrmo adauurmco adauurmoc adauurcmo adauurcom adauurocm adauuromc adauromuc
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adrouumac adrouucma adrouucam adrouuacm adrouuamc adrouamuc adrouamcu adrouaumc adrouaucm adrouacum adrouacmu
adroumauc adroumacu adroumuac adroumuca adroumcua adroumcau adrouumac adrouumca adrouuamc adrouuacm adrouucam
adrouucma adroucmua adroucmau adroucuma adroucuam adroucaum adroucamu adrcoamuu adrcoamuu adrcoaumu adrcoauum
adrcoauum adrcoaumu adrcomauu adrcomauu adrcomuau adrcomuua adrcomuua adrcomuau adrcoumau adrcoumua adrcouamu
adrcouaum adrcouuam adrcouuma adrcoumua adrcoumau adrcouuma adrcouuam adrcouaum adrcouamu adrcaomuu adrcaomuu
adrcaoumu adrcaouum adrcaouum adrcaoumu adrcamouu adrcamouu adrcamuou adrcamuuo adrcamuuo adrcamuou adrcaumou
adrcaumuo adrcauomu adrcauoum adrcauuom adrcauumo adrcaumuo adrcaumou adrcauumo adrcauuom adrcauoum adrcauomu
adrcmaouu adrcmaouu adrcmauou adrcmauuo adrcmauuo adrcmauou adrcmoauu adrcmoauu adrcmouau adrcmouua adrcmouua
adrcmouau adrcmuoau adrcmuoua adrcmuaou adrcmuauo adrcmuuao adrcmuuoa adrcmuoua adrcmuoau adrcmuuoa adrcmuuao
adrcmuauo adrcmuaou adrcuamou adrcuamuo adrcuaomu adrcuaoum adrcuauom adrcuaumo adrcumaou adrcumauo adrcumoau
adrcumoua adrcumuoa adrcumuao adrcuomau adrcuomua adrcuoamu adrcuoaum adrcuouam adrcuouma adrcuumoa adrcuumao
adrcuuoma adrcuuoam adrcuuaom adrcuuamo adrcuamuo adrcuamou adrcuaumo adrcuauom adrcuaoum adrcuaomu adrcumauo
adrcumaou adrcumuao adrcumuoa adrcumoua adrcumoau adrcuumao adrcuumoa adrcuuamo adrcuuaom adrcuuoam adrcuuoma
adrcuomua adrcuomau adrcuouma adrcuouam adrcuoaum adrcuoamu adracomuu adracomuu adracoumu adracouum adracouum
adracoumu adracmouu adracmouu adracmuou adracmuuo adracmuuo adracmuou adracumou adracumuo adracuomu adracuoum
adracuuom adracuumo adracumuo adracumou adracuumo adracuuom adracuoum adracuomu adraocmuu adraocmuu adraocumu
adraocuum adraocuum adraocumu adraomcuu adraomcuu adraomucu adraomuuc adraomuuc adraomucu adraoumcu adraoumuc
adraoucmu adraoucum adraouucm adraouumc adraoumuc adraoumcu adraouumc adraouucm adraoucum adraoucmu adramocuu
adramocuu adramoucu adramouuc adramouuc adramoucu adramcouu adramcouu adramcuou adramcuuo adramcuuo adramcuou
adramucou adramucuo adramuocu adramuouc adramuuoc adramuuco adramucuo adramucou adramuuco adramuuoc adramuouc
adramuocu adrauomcu adrauomuc adrauocmu adrauocum adrauoucm adrauoumc adraumocu adraumouc adraumcou adraumcuo
adraumuco adraumuoc adraucmou adraucmuo adraucomu adraucoum adraucuom adraucumo adrauumco adrauumoc adrauucmo
adrauucom adrauuocm adrauuomc adrauomuc adrauomcu adrauoumc adrauoucm adrauocum adrauocmu adraumouc adraumocu
adraumuoc adraumuco adraumcuo adraumcou adrauumoc adrauumco adrauuomc adrauuocm adrauucom adrauucmo adraucmuo
adraucmou adraucumo adraucuom adraucoum adraucomu adrmcaouu adrmcaouu adrmcauou adrmcauuo adrmcauuo adrmcauou
adrmcoauu adrmcoauu adrmcouau adrmcouua adrmcouua adrmcouau adrmcuoau adrmcuoua adrmcuaou adrmcuauo adrmcuuao
adrmcuuoa adrmcuoua adrmcuoau adrmcuuoa adrmcuuao adrmcuauo adrmcuaou adrmacouu adrmacouu adrmacuou adrmacuuo
adrmacuuo adrmacuou adrmaocuu adrmaocuu adrmaoucu adrmaouuc adrmaouuc adrmaoucu adrmauocu adrmauouc adrmaucou
adrmaucuo adrmauuco adrmauuoc adrmauouc adrmauocu adrmauuoc adrmauuco adrmaucuo adrmaucou adrmoacuu adrmoacuu
adrmoaucu adrmoauuc adrmoauuc adrmoaucu adrmocauu adrmocauu adrmocuau adrmocuua adrmocuua adrmocuau adrmoucau
adrmoucua adrmouacu adrmouauc adrmouuac adrmouuca adrmoucua adrmoucau adrmouuca adrmouuac adrmouauc adrmouacu
adrmuaocu adrmuaouc adrmuacou adrmuacuo adrmuauco adrmuauoc adrmuoacu adrmuoauc adrmuocau adrmuocua adrmuouca
adrmuouac adrmucoau adrmucoua adrmucaou adrmucauo adrmucuao adrmucuoa adrmuuoca adrmuuoac adrmuucoa adrmuucao
adrmuuaco adrmuuaoc adrmuaouc adrmuaocu adrmuauoc adrmuauco adrmuacuo adrmuacou adrmuoauc adrmuoacu adrmuouac
adrmuouca adrmuocua adrmuocau adrmuuoac adrmuuoca adrmuuaoc adrmuuaco adrmuucao adrmuucoa adrmucoua adrmucoau
adrmucuoa adrmucuao adrmucauo adrmucaou adrucamou adrucamuo adrucaomu adrucaoum adrucauom adrucaumo adrucmaou
adrucmauo adrucmoau adrucmoua adrucmuoa adrucmuao adrucomau adrucomua adrucoamu adrucoaum adrucouam adrucouma
adrucumoa adrucumao adrucuoma adrucuoam adrucuaom adrucuamo adruacmou adruacmuo adruacomu adruacoum adruacuom
adruacumo adruamcou adruamcuo adruamocu adruamouc adruamuoc adruamuco adruaomcu adruaomuc adruaocmu adruaocum
adruaoucm adruaoumc adruaumoc adruaumco adruauomc adruauocm adruaucom adruaucmo adrumacou adrumacuo adrumaocu
adrumaouc adrumauoc adrumauco adrumcaou adrumcauo adrumcoau adrumcoua adrumcuoa adrumcuao adrumocau adrumocua
adrumoacu adrumoauc adrumouac adrumouca adrumucoa adrumucao adrumuoca adrumuoac adrumuaoc adrumuaco adruoamcu
adruoamuc adruoacmu adruoacum adruoaucm adruoaumc adruomacu adruomauc adruomcau adruomcua adruomuca adruomuac
adruocmau adruocmua adruocamu adruocaum adruocuam adruocuma adruoumca adruoumac adruoucma adruoucam adruouacm
adruouamc adruuamoc adruuamco adruuaomc adruuaocm adruuacom adruuacmo adruumaoc adruumaco adruumoac adruumoca
adruumcoa adruumcao adruuomac adruuomca adruuoamc adruuoacm adruuocam adruuocma adruucmoa adruucmao adruucoma
adruucoam adruucaom adruucamo adrucamuo adrucamou adrucaumo adrucauom adrucaoum adrucaomu adrucmauo adrucmaou
adrucmuao adrucmuoa adrucmoua adrucmoau adrucumao adrucumoa adrucuamo adrucuaom adrucuoam adrucuoma adrucomua
adrucomau adrucouma adrucouam adrucoaum adrucoamu adruacmuo adruacmou adruacumo adruacuom adruacoum adruacomu
adruamcuo adruamcou adruamuco adruamuoc adruamouc adruamocu adruaumco adruaumoc adruaucmo adruaucom adruauocm
adruauomc adruaomuc adruaomcu adruaoumc adruaoucm adruaocum adruaocmu adrumacuo adrumacou adrumauco adrumauoc
adrumaouc adrumaocu adrumcauo adrumcaou adrumcuao adrumcuoa adrumcoua adrumcoau adrumucao adrumucoa adrumuaco
adrumuaoc adrumuoac adrumuoca adrumocua adrumocau adrumouca adrumouac adrumoauc adrumoacu adruuamco adruuamoc
adruuacmo adruuacom adruuaocm adruuaomc adruumaco adruumaoc adruumcao adruumcoa adruumoca adruumoac adruucmao
adruucmoa adruucamo adruucaom adruucoam adruucoma adruuomca adruuomac adruuocma adruuocam adruuoacm adruuoamc
adruoamuc adruoamcu adruoaumc adruoaucm adruoacum adruoacmu adruomauc adruomacu adruomuac adruomuca adruomcua
adruomcau adruoumac adruoumca adruouamc adruouacm adruoucam adruoucma adruocmua adruocmau adruocuma adruocuam
adruocaum adruocamu

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History of cryptography
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