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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: jesses
cipher variations:
kfttft lguugu mhvvhv niwwiw ojxxjx
pkyyky qlzzlz rmaama snbbnb toccoc
upddpd vqeeqe wrffrf xsggsg ythhth
zuiiui avjjvj bwkkwk cxllxl dymmym
eznnzn faooao gbppbp hcqqcq idrrdr

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: jesses
Cipher: qvhhvh

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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: jesses
Cipher: BBBAA AABAA BAAAB BAAAB AABAA BAAAB

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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: jesses
cipher variations:
kfttftcnddnduvnnvnmdxxdxelhhlhwtrrtrgjlljlyrvvrv
qzffzfihpphpapzzpzsxjjxjlguugudoeeoevwoowoneyyey
fmiimixussushkmmkmzswwswraggagjiqqiqbqaaqatykkyk
mhvvhvepffpfwxppxpofzzfzgnjjnjyvttvtilnnlnatxxtx
sbhhbhkjrrjrcrbbrbuzllzlniwwiwfqggqgxyqqyqpgaaga
hokkokzwuuwujmoomobuyyuytciicilkssksdsccscvammam
ojxxjxgrhhrhyzrrzrqhbbhbipllplaxvvxvknppnpcvzzvz
udjjdjmlttltetddtdwbnnbnpkyykyhsiisizassasriccic
jqmmqmbywwywloqqoqdwaawavekkeknmuumufueeuexcooco
qlzzlzitjjtjabttbtsjddjdkrnnrnczxxzxmprrprexbbxb
wfllflonvvnvgvffvfydppdprmaamajukkukbcuucutkeeke
lsoosodayyaynqssqsfyccycxgmmgmpowwowhwggwgzeqqeq
snbbnbkvllvlcdvvdvulfflfmtpptpebzzbzorttrtgzddzd
yhnnhnqpxxpxixhhxhafrrfrtoccoclwmmwmdewwewvmggmg
nuqquqfcaacapsuusuhaeeaeziooiorqyyqyjyiiyibgssgs
upddpdmxnnxnefxxfxwnhhnhovrrvrgdbbdbqtvvtvibffbf
ajppjpsrzzrzkzjjzjchtthtvqeeqenyooyofgyygyxoiioi
pwsswsheccecruwwuwjcggcgbkqqkqtsaasalakkakdiuuiu
wrffrfozppzpghzzhzypjjpjqxttxtifddfdsvxxvxkdhhdh
clrrlrutbbtbmbllblejvvjvxsggsgpaqqaqhiaaiazqkkqk
ryuuyujgeegetwyywyleiieidmssmsvuccucncmmcmfkwwkw
ythhthqbrrbrijbbjbarllrlszvvzvkhffhfuxzzxzmfjjfj
enttntwvddvdodnndnglxxlxzuiiuircsscsjkcckcbsmmsm
tawwawliggigvyaayangkkgkfouuouxweewepeooeohmyymy
avjjvjsdttdtklddldctnntnubxxbxmjhhjhwzbbzbohllhl
gpvvpvyxffxfqfppfpinzznzbwkkwkteuueulmeemeduoouo
vcyycynkiikixaccacpimmimhqwwqwzyggygrgqqgqjoaaoa
cxllxlufvvfvmnffnfevppvpwdzzdzoljjljybddbdqjnnjn
irxxrxazhhzhshrrhrkpbbpbdymmymvgwwgwnoggogfwqqwq
xeaaeapmkkmkzceecerkookojsyysybaiiaitissislqccqc
eznnznwhxxhxophhphgxrrxryfbbfbqnllnladffdfslpplp
ktzztzcbjjbjujttjtmrddrdfaooaoxiyyiypqiiqihyssys
zgccgcrommombeggegtmqqmqluaauadckkckvkuukunseese
gbppbpyjzzjzqrjjrjizttztahddhdspnnpncfhhfhunrrnr
mvbbvbedlldlwlvvlvotfftfhcqqcqzkaakarskkskjauuau
bieeietqooqodgiigivossosnwccwcfemmemxmwwmwpuggug
idrrdralbblbstlltlkbvvbvcjffjfurpprpehjjhjwpttpt
oxddxdgfnnfnynxxnxqvhhvhjessesbmccmctummumlcwwcw
dkggkgvsqqsqfikkikxquuqupyeeyehgoogozoyyoyrwiiwi

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: jesses
Cipher: wrffrf

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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: jesses
Cipher: 425134345134

Extended Methods:
Method #1

Plaintext: jesses
method variations:
okxxkxtpccpcyuhhuhdznnzn

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 s 
4 5 3 3 5 3 
2 1 4 4 1 4 
They are then read out in rows:
453353214414
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: jesses
Cipher: ynpbtq

Read more ...
Method #3

Plaintext: jesses
method variations:
wloylt loyltw oyltwl
yltwlo ltwloy twloyl

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: jesses

all 720 cipher variations:
jesses jessse jesess jesess jesses jessse jesses jessse jesess jesess jesses
jessse jeesss jeesss jeesss jeesss jeesss jeesss jesses jessse jesess jesess
jesses jessse jseses jsesse jseess jseess jseses jsesse jssees jssese jssees
jssese jsssee jsssee jseses jsesse jseess jseess jseses jsesse jsssee jsssee
jssese jssees jssees jssese jssees jssese jssees jssese jsssee jsssee jseses
jsesse jseess jseess jseses jsesse jseess jseess jseses jsesse jsesse jseses
jssees jssese jssees jssese jsssee jsssee jesses jessse jesess jesess jesses
jessse jesses jessse jesess jesess jesses jessse jeesss jeesss jeesss jeesss
jeesss jeesss jesses jessse jesess jesess jesses jessse jsssee jsssee jssese
jssees jssees jssese jsssee jsssee jssese jssees jssees jssese jsesse jseses
jsesse jseses jseess jseess jseses jsesse jseess jseess jseses jsesse ejsses
ejssse ejsess ejsess ejsses ejssse ejsses ejssse ejsess ejsess ejsses ejssse
ejesss ejesss ejesss ejesss ejesss ejesss ejsses ejssse ejsess ejsess ejsses
ejssse esjses esjsse esjess esjess esjses esjsse essjes essjse essejs essesj
esssej esssje esesjs esessj esejss esejss esesjs esessj esssej esssje essesj
essejs essjes essjse essjes essjse essejs essesj esssej esssje esjses esjsse
esjess esjess esjses esjsse esejss esejss esesjs esessj esessj esesjs essjes
essjse essejs essesj esssej esssje eessjs eesssj eesjss eesjss eessjs eesssj
eessjs eesssj eesjss eesjss eessjs eesssj eejsss eejsss eejsss eejsss eejsss
eejsss eessjs eesssj eesjss eesjss eessjs eesssj esssej esssje essesj essejs
essjes essjse esssej esssje essesj essejs essjes essjse esessj esesjs esessj
esesjs esejss esejss esjses esjsse esjess esjess esjses esjsse sejses sejsse
sejess sejess sejses sejsse sesjes sesjse sesejs sesesj sessej sessje seesjs
seessj seejss seejss seesjs seessj sessej sessje sesesj sesejs sesjes sesjse
sjeses sjesse sjeess sjeess sjeses sjesse sjsees sjsese sjsees sjsese sjssee
sjssee sjeses sjesse sjeess sjeess sjeses sjesse sjssee sjssee sjsese sjsees
sjsees sjsese ssjees ssjese ssjees ssjese ssjsee ssjsee ssejes ssejse sseejs
sseesj ssesej ssesje sseejs sseesj ssejes ssejse ssesje ssesej ssseej ssseje
ssseej ssseje sssjee sssjee sejses sejsse sejess sejess sejses sejsse sesjes
sesjse sesejs sesesj sessej sessje seesjs seessj seejss seejss seesjs seessj
sessej sessje sesesj sesejs sesjes sesjse ssjsee ssjsee ssjese ssjees ssjees
ssjese sssjee sssjee ssseje ssseej ssseej ssseje ssesje ssesej ssejse ssejes
sseejs sseesj ssesej ssesje sseesj sseejs ssejes ssejse sesjes sesjse sesejs
sesesj sessej sessje sejses sejsse sejess sejess sejses sejsse seejss seejss
seesjs seessj seessj seesjs sesjes sesjse sesejs sesesj sessej sessje ssejes
ssejse sseejs sseesj ssesej ssesje ssjees ssjese ssjees ssjese ssjsee ssjsee
ssejes ssejse sseejs sseesj ssesej ssesje sssjee sssjee ssseje ssseej ssseej
ssseje sjsees sjsese sjsees sjsese sjssee sjssee sjeses sjesse sjeess sjeess
sjeses sjesse sjeess sjeess sjeses sjesse sjesse sjeses sjsees sjsese sjsees
sjsese sjssee sjssee sesjes sesjse sesejs sesesj sessej sessje sejses sejsse
sejess sejess sejses sejsse seejss seejss seesjs seessj seessj seesjs sesjes
sesjse sesejs sesesj sessej sessje sssjee sssjee ssseje ssseej ssseej ssseje
ssjsee ssjsee ssjese ssjees ssjees ssjese ssejse ssejes ssesje ssesej sseesj
sseejs ssejes ssejse sseejs sseesj ssesej ssesje eessjs eesssj eesjss eesjss
eessjs eesssj eessjs eesssj eesjss eesjss eessjs eesssj eejsss eejsss eejsss
eejsss eejsss eejsss eessjs eesssj eesjss eesjss eessjs eesssj esesjs esessj
esejss esejss esesjs esessj essejs essesj essjes essjse esssje esssej esjses
esjsse esjess esjess esjses esjsse esssje esssej essjse essjes essejs essesj
essejs essesj essjes essjse esssje esssej esesjs esessj esejss esejss esesjs
esessj esjess esjess esjses esjsse esjsse esjses essejs essesj essjes essjse
esssje esssej ejsses ejssse ejsess ejsess ejsses ejssse ejsses ejssse ejsess
ejsess ejsses ejssse ejesss ejesss ejesss ejesss ejesss ejesss ejsses ejssse
ejsess ejsess ejsses ejssse esssje esssej essjse essjes essejs essesj esssje
esssej essjse essjes essejs essesj esjsse esjses esjsse esjses esjess esjess
esesjs esessj esejss esejss esesjs esessj sessej sessje sesesj sesejs sesjes
sesjse sessej sessje sesesj sesejs sesjes sesjse seessj seesjs seessj seesjs
seejss seejss sejses sejsse sejess sejess sejses sejsse ssesej ssesje sseesj
sseejs ssejes ssejse ssseej ssseje ssseej ssseje sssjee sssjee ssesej ssesje
sseesj sseejs ssejes ssejse ssjsee ssjsee ssjese ssjees ssjees ssjese ssseej
ssseje ssseej ssseje sssjee sssjee ssesej ssesje sseesj sseejs ssejes ssejse
sseesj sseejs ssesej ssesje ssejse ssejes ssjees ssjese ssjees ssjese ssjsee
ssjsee sessej sessje sesesj sesejs sesjes sesjse sessej sessje sesesj sesejs
sesjes sesjse seessj seesjs seessj seesjs seejss seejss sejses sejsse sejess
sejess sejses sejsse sjssee sjssee sjsese sjsees sjsees sjsese sjssee sjssee
sjsese sjsees sjsees sjsese sjesse sjeses sjesse sjeses sjeess sjeess sjeses
sjesse sjeess sjeess sjeses sjesse

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