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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: jessee
cipher variations:
kfttff lguugg mhvvhh niwwii ojxxjj
pkyykk qlzzll rmaamm snbbnn toccoo
upddpp vqeeqq wrffrr xsggss ythhtt
zuiiuu avjjvv bwkkww cxllxx dymmyy
eznnzz faooaa gbppbb hcqqcc idrrdd

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: jessee
Cipher: qvhhvv

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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: jessee
Cipher: BBBAA AABAA BAAAB BAAAB AABAA 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: jessee
cipher variations:
kfttffcnddnnuvnnvvmdxxddelhhllwtrrttgjlljjyrvvrr
qzffzzihpphhapzzppsxjjxxlguuggdoeeoovwoowwneyyee
fmiimmxussuuhkmmkkzswwssraggaajiqqiibqaaqqtykkyy
mhvvhhepffppwxppxxofzzffgnjjnnyvttvvilnnllatxxtt
sbhhbbkjrrjjcrbbrruzllzzniwwiifqggqqxyqqyypgaagg
hokkoozwuuwwjmoommbuyyuutciicclksskkdsccssvammaa
ojxxjjgrhhrryzrrzzqhbbhhipllppaxvvxxknppnncvzzvv
udjjddmlttlletddttwbnnbbpkyykkhsiisszassaariccii
jqmmqqbywwyyloqqoodwaawwvekkeenmuummfueeuuxcoocc
qlzzllitjjttabttbbsjddjjkrnnrrczxxzzmprrppexbbxx
wfllffonvvnngvffvvydppddrmaammjukkuubcuucctkeekk
lsoossdayyaanqssqqfyccyyxgmmggpowwoohwggwwzeqqee
snbbnnkvllvvcdvvddulffllmtppttebzzbborttrrgzddzz
yhnnhhqpxxppixhhxxafrrfftoccoolwmmwwdewweevmggmm
nuqquufcaaccpsuusshaeeaaziooiirqyyqqjyiiyybgssgg
upddppmxnnxxefxxffwnhhnnovrrvvgdbbddqtvvttibffbb
ajppjjsrzzrrkzjjzzchtthhvqeeqqnyooyyfgyyggxoiioo
pwsswwhecceeruwwuujcggccbkqqkktsaasslakkaadiuuii
wrffrrozppzzghzzhhypjjppqxttxxifddffsvxxvvkdhhdd
clrrllutbbttmbllbbejvvjjxsggsspaqqaahiaaiizqkkqq
ryuuyyjgeeggtwyywwleiieedmssmmvuccuuncmmccfkwwkk
ythhttqbrrbbijbbjjarllrrszvvzzkhffhhuxzzxxmfjjff
enttnnwvddvvodnnddglxxllzuiiuurcssccjkcckkbsmmss
tawwaaliggiivyaayyngkkggfouuooxweewwpeooeehmyymm
avjjvvsdttddklddllctnnttubxxbbmjhhjjwzbbzzohllhh
gpvvppyxffxxqfppffinzznnbwkkwwteuueelmeemmduoouu
vcyyccnkiikkxaccaapimmiihqwwqqzyggyyrgqqggjoaaoo
cxllxxufvvffmnffnnevppvvwdzzddoljjllybddbbqjnnjj
irxxrrazhhzzshrrhhkpbbppdymmyyvgwwggnoggoofwqqww
xeaaeepmkkmmzceeccrkookkjsyyssbaiiaatissiilqccqq
eznnzzwhxxhhophhppgxrrxxyfbbffqnllnnadffddslppll
ktzzttcbjjbbujttjjmrddrrfaooaaxiyyiipqiiqqhyssyy
zgccggrommoobeggeetmqqmmluaauudckkccvkuukknseess
gbppbbyjzzjjqrjjrrizttzzahddhhspnnppcfhhffunrrnn
mvbbvvedllddwlvvllotfftthcqqcczkaakkrskkssjauuaa
bieeiitqooqqdgiiggvossoonwccwwfemmeexmwwmmpugguu
idrrddalbbllstllttkbvvbbcjffjjurpprrehjjhhwpttpp
oxddxxgfnnffynxxnnqvhhvvjesseebmccmmtummuulcwwcc
dkggkkvsqqssfikkiixquuqqpyeeyyhgooggzoyyoorwiiww

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: jessee
Cipher: wrffrr

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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: jessee
Cipher: 425134345151

Extended Methods:
Method #1

Plaintext: jessee
method variations:
okxxkktpccppyuhhuudznnzz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
j e s s e e 
4 5 3 3 5 5 
2 1 4 4 1 1 
They are then read out in rows:
453355214411
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: jessee
Cipher: ynzbta

Read more ...
Method #3

Plaintext: jessee
method variations:
wloyvq loyvqw oyvqwl
yvqwlo vqwloy qwloyv

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: jessee

all 720 cipher variations:
jessee jessee jesese jesees jesees jesese jessee jessee jesese jesees jesees
jesese jeesse jeeses jeesse jeeses jeeess jeeess jeeses jeesse jeeess jeeess
jeeses jeesse jsesee jsesee jseese jseees jseees jseese jsseee jsseee jsseee
jsseee jsseee jsseee jsesee jsesee jseese jseees jseees jseese jsesee jsesee
jseese jseees jseees jseese jsseee jsseee jsseee jsseee jsseee jsseee jsesee
jsesee jseese jseees jseees jseese jseese jseees jsesee jsesee jseese jseees
jseees jseese jseees jseese jsesee jsesee jessee jessee jesese jesees jesees
jesese jessee jessee jesese jesees jesees jesese jeesse jeeses jeesse jeeses
jeeess jeeess jeeses jeesse jeeess jeeess jeeses jeesse jessee jessee jesese
jesees jesees jesese jessee jessee jesese jesees jesees jesese jeesse jeeses
jeesse jeeses jeeess jeeess jeeses jeesse jeeess jeeess jeeses jeesse ejssee
ejssee ejsese ejsees ejsees ejsese ejssee ejssee ejsese ejsees ejsees ejsese
ejesse ejeses ejesse ejeses ejeess ejeess ejeses ejesse ejeess ejeess ejeses
ejesse esjsee esjsee esjese esjees esjees esjese essjee essjee esseje esseej
esseej esseje esesje esesej esejse esejes eseejs eseesj esesej esesje eseesj
eseejs esejes esejse essjee essjee esseje esseej esseej esseje esjsee esjsee
esjese esjees esjees esjese esejse esejes esesje esesej eseesj eseejs esejes
esejse eseejs eseesj esesej esesje eessje eessej eesjse eesjes eesejs eesesj
eessje eessej eesjse eesjes eesejs eesesj eejsse eejses eejsse eejses eejess
eejess eeesjs eeessj eeejss eeejss eeesjs eeessj eessej eessje eesesj eesejs
eesjes eesjse eessej eessje eesesj eesejs eesjes eesjse eeessj eeesjs eeessj
eeesjs eeejss eeejss eejses eejsse eejess eejess eejses eejsse sejsee sejsee
sejese sejees sejees sejese sesjee sesjee seseje seseej seseej seseje seesje
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sjesee sjesee sjeese sjeees sjeees sjeese sjseee sjseee sjseee sjseee sjseee
sjseee sjesee sjesee sjeese sjeees sjeees sjeese sjesee sjesee sjeese sjeees
sjeees sjeese ssjeee ssjeee ssjeee ssjeee ssjeee ssjeee ssejee ssejee sseeje
sseeej sseeej sseeje sseeje sseeej ssejee ssejee sseeje sseeej sseeej sseeje
sseeej sseeje ssejee ssejee sejsee sejsee sejese sejees sejees sejese sesjee
sesjee seseje seseej seseej seseje seesje seesej seejse seejes seeejs seeesj
seesej seesje seeesj seeejs seejes seejse sejsee sejsee sejese sejees sejees
sejese sesjee sesjee seseje seseej seseej seseje seesje seesej seejse seejes
seeejs seeesj seesej seesje seeesj seeejs seejes seejse sesjee sesjee seseje
seseej seseej seseje sejsee sejsee sejese sejees sejees sejese seejse seejes
seesje seesej seeesj seeejs seejes seejse seeejs seeesj seesej seesje ssejee
ssejee sseeje sseeej sseeej sseeje ssjeee ssjeee ssjeee ssjeee ssjeee ssjeee
ssejee ssejee sseeje sseeej sseeej sseeje ssejee ssejee sseeje sseeej sseeej
sseeje sjseee sjseee sjseee sjseee sjseee sjseee sjesee sjesee sjeese sjeees
sjeees sjeese sjeese sjeees sjesee sjesee sjeese sjeees sjeees sjeese sjeees
sjeese sjesee sjesee sesjee sesjee seseje seseej seseej seseje sejsee sejsee
sejese sejees sejees sejese seejse seejes seesje seesej seeesj seeejs seejes
seejse seeejs seeesj seesej seesje sesjee sesjee seseje seseej seseej seseje
sejsee sejsee sejese sejees sejees sejese seejse seejes seesje seesej seeesj
seeejs seejes seejse seeejs seeesj seesej seesje eessje eessej eesjse eesjes
eesejs eesesj eessje eessej eesjse eesjes eesejs eesesj eejsse eejses eejsse
eejses eejess eejess eeesjs eeessj eeejss eeejss eeesjs eeessj esesje esesej
esejse esejes eseejs eseesj esseje esseej essjee essjee esseje esseej esjsee
esjsee esjese esjees esjees esjese esesje esesej esejse esejes eseejs eseesj
esseje esseej essjee essjee esseje esseej esesje esesej esejse esejes eseejs
eseesj esjese esjees esjsee esjsee esjese esjees eseejs eseesj esejes esejse
esesje esesej ejssee ejssee ejsese ejsees ejsees ejsese ejssee ejssee ejsese
ejsees ejsees ejsese ejesse ejeses ejesse ejeses ejeess ejeess ejeses ejesse
ejeess ejeess ejeses ejesse eessje eessej eesjse eesjes eesejs eesesj eessje
eessej eesjse eesjes eesejs eesesj eejsse eejses eejsse eejses eejess eejess
eeesjs eeessj eeejss eeejss eeesjs eeessj eessej eessje eesesj eesejs eesjes
eesjse eessej eessje eesesj eesejs eesjes eesjse eeessj eeesjs eeessj eeesjs
eeejss eeejss eejses eejsse eejess eejess eejses eejsse esesej esesje eseesj
eseejs esejes esejse esseej esseje esseej esseje essjee essjee esesej esesje
eseesj eseejs esejes esejse esjsee esjsee esjese esjees esjees esjese esseej
esseje esseej esseje essjee essjee esesej esesje eseesj eseejs esejes esejse
eseesj eseejs esesej esesje esejse esejes esjees esjese esjees esjese esjsee
esjsee eessej eessje eesesj eesejs eesjes eesjse eessej eessje eesesj eesejs
eesjes eesjse eeessj eeesjs eeessj eeesjs eeejss eeejss eejses eejsse eejess
eejess eejses eejsse ejssee ejssee ejsese ejsees ejsees ejsese ejssee ejssee
ejsese ejsees ejsees ejsese ejesse ejeses ejesse ejeses ejeess ejeess ejeses
ejesse ejeess ejeess ejeses ejesse

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