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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: eruere
cipher variations:
fsvfsf gtwgtg huxhuh ivyivi jwzjwj
kxakxk lyblyl mzcmzm nadnan obeobo
pcfpcp qdgqdq rehrer sfisfs tgjtgt
uhkuhu vilviv wjmwjw xknxkx yloyly
zmpzmz anqana borbob cpscpc dqtdqd

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: eruere
Cipher: vifviv

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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: eruere
Cipher: AABAA BAAAA BAABB AABAA BAAAA 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: eruere
cipher variations:
fsvfsfnajnanvixvivdqldqdlyzlyltgntgtjwpjwjredrer
zmrzmzhufhuhpctpcpxkhxkxgtwgtgobkobowjywjwermere
mzamzmuhouhukxqkxksfesfsansanaivgiviqduqdqyliyly
huxhuhpclpcpxkzxkxfsnfsfnabnanvipvivlyrlyltgftgt
botbobjwhjwjrevrerzmjzmzivyiviqdmqdqylaylygtogtg
obcobowjqwjwmzsmzmuhguhucpucpckxikxksfwsfsankana
jwzjwjrenrerzmbzmzhuphuhpcdpcpxkrxkxnatnanvihviv
dqvdqdlyjlyltgxtgtbolbobkxakxksfosfsancanaivqivi
qdeqdqylsylyobuobowjiwjwerweremzkmzmuhyuhucpmcpc
lyblyltgptgtbodbobjwrjwjrefrerzmtzmzpcvpcpxkjxkx
fsxfsfnalnanvizvivdqndqdmzcmzmuhquhucpecpckxskxk
sfgsfsanuanaqdwqdqylkylygtygtgobmobowjawjweroere
nadnanvirvivdqfdqdlytlyltghtgtbovbobrexrerzmlzmz
huzhuhpcnpcpxkbxkxfspfsfobeobowjswjwergeremzumzm
uhiuhucpwcpcsfysfsanmanaivaiviqdoqdqylcylygtqgtg
pcfpcpxktxkxfshfsfnavnanvijvivdqxdqdtgztgtbonbob
jwbjwjreprerzmdzmzhurhuhqdgqdqyluylygtigtgobwobo
wjkwjweryereuhauhucpocpckxckxksfqsfsaneanaivsivi
rehrerzmvzmzhujhuhpcxpcpxklxkxfszfsfvibvivdqpdqd
lydlyltgrtgtbofbobjwtjwjsfisfsanwanaivkiviqdyqdq
ylmylygtagtgwjcwjwerqeremzemzmuhsuhucpgcpckxukxk
tgjtgtboxbobjwljwjrezrerzmnzmzhubhuhxkdxkxfsrfsf
nafnanvitvivdqhdqdlyvlyluhkuhucpycpckxmkxksfasfs
anoanaivciviyleylygtsgtgobgobowjuwjwerieremzwmzm
vilvivdqzdqdlynlyltgbtgtbopbobjwdjwjzmfzmzhuthuh
pchpcpxkvxkxfsjfsfnaxnanwjmwjweraeremzomzmuhcuhu
cpqcpckxekxkanganaivuiviqdiqdqylwylygtkgtgobyobo
xknxkxfsbfsfnapnanvidvivdqrdqdlyflylbohbobjwvjwj
rejrerzmxzmzhulhuhpczpcpyloylygtcgtgobqobowjewjw
erseremzgmzmcpicpckxwkxksfksfsanyanaivmiviqdaqdq
zmpzmzhudhuhpcrpcpxkfxkxfstfsfnahnandqjdqdlyxlyl
tgltgtbozbobjwnjwjrebreranqanaiveiviqdsqdqylgyly
gtugtgobioboerkeremzymzmuhmuhucpacpckxokxksfcsfs
borbobjwfjwjretrerzmhzmzhuvhuhpcjpcpfslfsfnaznan
vinvivdqbdqdlyplyltgdtgtcpscpckxgkxksfusfsaniana
ivwiviqdkqdqgtmgtgobaobowjowjwerceremzqmzmuheuhu
dqtdqdlyhlyltgvtgtbojbobjwxjwjrelrerhunhuhpcbpcp
xkpxkxfsdfsfnarnanvifviverueremzimzmuhwuhucpkcpc
kxykxksfmsfsivoiviqdcqdqylqylygtegtgobsobowjgwjw

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: eruere
Cipher: rehrer

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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: eruere
Cipher: 512454512451

Extended Methods:
Method #1

Plaintext: eruere
method variations:
kwzkwkpbepbpugkuguzmpzmz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
e r u e r e 
5 2 5 5 2 5 
1 4 4 1 4 1 
They are then read out in rows:
525525144141
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: eruere
Cipher: kzwqdd

Read more ...
Method #3

Plaintext: eruere
method variations:
fyyfyv yyfyvf yfyvfy
fyvfyy yvfyyf vfyyfy

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: eruere

all 720 cipher variations:
eruere erueer eruree eruree eruere erueer ereure ereuer ererue erereu ereeru
ereeur erreue erreeu erruee erruee erreue erreeu ereeru ereeur erereu ererue
ereure ereuer eurere eureer eurree eurree eurere eureer euerre euerer euerre
euerer eueerr eueerr eurere eureer eurree eurree eurere eureer eueerr eueerr
euerer euerre euerre euerer eeurre eeurer eeurre eeurer eeuerr eeuerr eerure
eeruer eerrue eerreu eereru eereur eerrue eerreu eerure eeruer eereur eereru
eeerru eeerur eeerru eeerur eeeurr eeeurr eruere erueer eruree eruree eruere
erueer ereure ereuer ererue erereu ereeru ereeur erreue erreeu erruee erruee
erreue erreeu ereeru ereeur erereu ererue ereure ereuer eeuerr eeuerr eeurer
eeurre eeurre eeurer eeeurr eeeurr eeerur eeerru eeerru eeerur eereur eereru
eeruer eerure eerrue eerreu eereru eereur eerreu eerrue eerure eeruer reuere
reueer reuree reuree reuere reueer reeure reeuer reerue reereu reeeru reeeur
rereue rereeu reruee reruee rereue rereeu reeeru reeeur reereu reerue reeure
reeuer rueere rueeer rueree rueree rueere rueeer rueere rueeer rueree rueree
rueere rueeer rureee rureee rureee rureee rureee rureee rueere rueeer rueree
rueree rueere rueeer reuere reueer reuree reuree reuere reueer reeure reeuer
reerue reereu reeeru reeeur rereue rereeu reruee reruee rereue rereeu reeeru
reeeur reereu reerue reeure reeuer rrueee rrueee rrueee rrueee rrueee rrueee
rreuee rreuee rreeue rreeeu rreeeu rreeue rreeue rreeeu rreuee rreuee rreeue
rreeeu rreeeu rreeue rreeeu rreeue rreuee rreuee reuere reueer reuree reuree
reuere reueer reeure reeuer reerue reereu reeeru reeeur rereue rereeu reruee
reruee rereue rereeu reeeru reeeur reereu reerue reeure reeuer ureere ureeer
ureree ureree ureere ureeer ureere ureeer ureree ureree ureere ureeer urreee
urreee urreee urreee urreee urreee ureere ureeer ureree ureree ureere ureeer
uerere uereer uerree uerree uerere uereer ueerre ueerer ueerre ueerer ueeerr
ueeerr uerere uereer uerree uerree uerere uereer ueeerr ueeerr ueerer ueerre
ueerre ueerer ueerre ueerer ueerre ueerer ueeerr ueeerr uerere uereer uerree
uerree uerere uereer uerree uerree uerere uereer uereer uerere ueerre ueerer
ueerre ueerer ueeerr ueeerr ureere ureeer ureree ureree ureere ureeer ureere
ureeer ureree ureree ureere ureeer urreee urreee urreee urreee urreee urreee
ureere ureeer ureree ureree ureere ureeer ueeerr ueeerr ueerer ueerre ueerre
ueerer ueeerr ueeerr ueerer ueerre ueerre ueerer uereer uerere uereer uerere
uerree uerree uerere uereer uerree uerree uerere uereer eruere erueer eruree
eruree eruere erueer ereure ereuer ererue erereu ereeru ereeur erreue erreeu
erruee erruee erreue erreeu ereeru ereeur erereu ererue ereure ereuer eurere
eureer eurree eurree eurere eureer euerre euerer euerre euerer eueerr eueerr
eurere eureer eurree eurree eurere eureer eueerr eueerr euerer euerre euerre
euerer eeurre eeurer eeurre eeurer eeuerr eeuerr eerure eeruer eerrue eerreu
eereru eereur eerrue eerreu eerure eeruer eereur eereru eeerru eeerur eeerru
eeerur eeeurr eeeurr eruere erueer eruree eruree eruere erueer ereure ereuer
ererue erereu ereeru ereeur erreue erreeu erruee erruee erreue erreeu ereeru
ereeur erereu ererue ereure ereuer eeuerr eeuerr eeurer eeurre eeurre eeurer
eeeurr eeeurr eeerur eeerru eeerru eeerur eereur eereru eeruer eerure eerrue
eerreu eereru eereur eerreu eerrue eerure eeruer rrueee rrueee rrueee rrueee
rrueee rrueee rreuee rreuee rreeue rreeeu rreeeu rreeue rreeue rreeeu rreuee
rreuee rreeue rreeeu rreeeu rreeue rreeeu rreeue rreuee rreuee rureee rureee
rureee rureee rureee rureee rueree rueree rueere rueeer rueeer rueere rueere
rueeer rueree rueree rueere rueeer rueeer rueere rueeer rueere rueree rueree
reuree reuree reuere reueer reueer reuere reruee reruee rereue rereeu rereeu
rereue reerue reereu reeure reeuer reeeur reeeru reereu reerue reeeru reeeur
reeuer reeure reuere reueer reuree reuree reuere reueer reeure reeuer reerue
reereu reeeru reeeur rereue rereeu reruee reruee rereue rereeu reeeru reeeur
reereu reerue reeure reeuer reueer reuere reueer reuere reuree reuree reeuer
reeure reeeur reeeru reereu reerue reeeur reeeru reeuer reeure reerue reereu
rereeu rereue rereeu rereue reruee reruee eruere erueer eruree eruree eruere
erueer ereure ereuer ererue erereu ereeru ereeur erreue erreeu erruee erruee
erreue erreeu ereeru ereeur erereu ererue ereure ereuer eurere eureer eurree
eurree eurere eureer euerre euerer euerre euerer eueerr eueerr eurere eureer
eurree eurree eurere eureer eueerr eueerr euerer euerre euerre euerer eeurre
eeurer eeurre eeurer eeuerr eeuerr eerure eeruer eerrue eerreu eereru eereur
eerrue eerreu eerure eeruer eereur eereru eeerru eeerur eeerru eeerur eeeurr
eeeurr eruere erueer eruree eruree eruere erueer ereure ereuer ererue erereu
ereeru ereeur erreue erreeu erruee erruee erreue erreeu ereeru ereeur erereu
ererue ereure ereuer eeuerr eeuerr eeurer eeurre eeurre eeurer eeeurr eeeurr
eeerur eeerru eeerru eeerur eereur eereru eeruer eerure eerrue eerreu eereru
eereur eerreu eerrue eerure eeruer

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