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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: pining
cipher variations:
qjojoh rkpkpi slqlqj tmrmrk unsnsl
vototm wpupun xqvqvo yrwrwp zsxsxq
atytyr buzuzs cvavat dwbwbu excxcv
fydydw gzezex hafafy ibgbgz jchcha
kdidib lejejc mfkfkd nglgle ohmhmf

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: pining
Cipher: krmrmt

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: pining
Cipher: ABBBA ABAAA ABBAA ABAAA ABBAA AABBA

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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: pining
cipher variations:
qjojohuzozotypopofcfoforgvovodklolopsroronwhohoz
axoxolenonoxidodojmtotovrkpkpivapapuzqpqpgdgpgps
hwpwpelmpmpqtspspoxipipabypypmfopopyjepepknupupw
slqlqjwbqbqvarqrqhehqhqtixqxqfmnqnqrutqtqpyjqjqb
czqzqngpqpqzkfqfqlovqvqxtmrmrkxcrcrwbsrsrifiriru
jyryrgnororsvururqzkrkrcdararohqrqralgrgrmpwrwry
unsnslydsdsxctstsjgjsjsvkzszshopspstwvsvsralslsd
ebsbspirsrsbmhshsnqxsxszvototmzetetydututkhktktw
latatipqtqtuxwtwtsbmtmtefctctqjststcnititorytyta
wpupunafufuzevuvuliluluxmbubujqruruvyxuxutcnunuf
gdudurktutudojujupszuzubxqvqvobgvgvafwvwvmjmvmvy
ncvcvkrsvsvwzyvyvudovovghevevsluvuvepkvkvqtavavc
yrwrwpchwhwbgxwxwnknwnwzodwdwlstwtwxazwzwvepwpwh
ifwfwtmvwvwfqlwlwrubwbwdzsxsxqdixixchyxyxoloxoxa
pexexmtuxuxybaxaxwfqxqxijgxgxunwxwxgrmxmxsvcxcxe
atytyrejyjydizyzypmpypybqfyfynuvyvyzcbybyxgryryj
khyhyvoxyxyhsnynytwdydyfbuzuzsfkzkzejazazqnqzqzc
rgzgzovwzwzadczczyhszszklizizwpyzyzitozozuxezezg
cvavatglalafkbabaroraradshahapwxaxabedadazitatal
mjajaxqzazajupapavyfafahdwbwbuhmbmbglcbcbspsbsbe
tibibqxybybcfebebajububmnkbkbyrababkvqbqbwzgbgbi
excxcvincnchmdcdctqtctcfujcjcryzczcdgfcfcbkvcvcn
olclczsbcbclwrcrcxahchcjfydydwjododinededurududg
vkdkdszadadehgdgdclwdwdopmdmdatcdcdmxsdsdybididk
gzezexkpepejofefevsvevehwleletabebefihehedmxexep
qnenebudedenytetezcjejelhafafylqfqfkpgfgfwtwfwfi
xmfmfubcfcfgjififenyfyfqrofofcvefefozufufadkfkfm
ibgbgzmrgrglqhghgxuxgxgjyngngvcdgdghkjgjgfozgzgr
spgpgdwfgfgpavgvgbelglgnjchchanshshmrihihyvyhyhk
zohohwdehehilkhkhgpahahstqhqhexghghqbwhwhcfmhmho
kdidibotitinsjijizwzizilapipixefifijmlilihqbibit
uririfyhihircxixidgniniplejejcpujujotkjkjaxajajm
bqjqjyfgjgjknmjmjircjcjuvsjsjgzijijsdyjyjehojojq
mfkfkdqvkvkpulklkbybkbkncrkrkzghkhklonknkjsdkdkv
wtktkhajkjktezkzkfipkpkrnglglerwlwlqvmlmlczclclo
dslslahililmpololktelelwxululibklklufalalgjqlqls
ohmhmfsxmxmrwnmnmdadmdmpetmtmbijmjmnqpmpmlufmfmx
yvmvmjclmlmvgbmbmhkrmrmtpiningtynynsxononebenenq
fununcjknknorqnqnmvgngnyzwnwnkdmnmnwhcncnilsnsnu

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: pining
Cipher: cvavat

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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: pining
Cipher: 534233423322

Extended Methods:
Method #1

Plaintext: pining
method variations:
uososmztxtxreycycwkdhdhb

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
p i n i n g 
5 4 3 4 3 2 
3 2 3 2 3 2 
They are then read out in rows:
543432323232
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: pining
Cipher: ushhhh

Read more ...
Method #3

Plaintext: pining
method variations:
smsmhw msmhws smhwsm
mhwsms hwsmsm wsmsmh

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: pining

all 720 cipher variations:
pining pinign pinnig pinngi pingni pingin piinng piingn piinng piingn piignn
piignn pining pinign pinnig pinngi pingni pingin piginn piginn pignin pignni
pignni pignin pniing pniign pninig pningi pnigni pnigin pniing pniign pninig
pningi pnigni pnigin pnniig pnnigi pnniig pnnigi pnngii pnngii pngini pngiin
pngnii pngnii pngini pngiin pining pinign pinnig pinngi pingni pingin piinng
piingn piinng piingn piignn piignn pining pinign pinnig pinngi pingni pingin
piginn piginn pignin pignni pignni pignin pnniig pnnigi pnniig pnnigi pnngii
pnngii pninig pningi pniing pniign pnigin pnigni pniing pniign pninig pningi
pnigni pnigin pngiin pngini pngiin pngini pngnii pngnii pgnini pgniin pgnnii
pgnnii pgnini pgniin pginni pginin pginni pginin pgiinn pgiinn pgnini pgniin
pgnnii pgnnii pgnini pgniin pgiinn pgiinn pginin pginni pginni pginin ipning
ipnign ipnnig ipnngi ipngni ipngin ipinng ipingn ipinng ipingn ipignn ipignn
ipning ipnign ipnnig ipnngi ipngni ipngin ipginn ipginn ipgnin ipgnni ipgnni
ipgnin inping inpign inpnig inpngi inpgni inpgin inipng inipgn ininpg iningp
inignp inigpn innipg innigp innpig innpgi inngpi inngip inginp ingipn ingnip
ingnpi ingpni ingpin iinpng iinpgn iinnpg iinngp iingnp iingpn iipnng iipngn
iipnng iipngn iipgnn iipgnn iinpng iinpgn iinnpg iinngp iingnp iingpn iigpnn
iigpnn iignpn iignnp iignnp iignpn innipg innigp innpig innpgi inngpi inngip
ininpg iningp inipng inipgn inigpn inignp inping inpign inpnig inpngi inpgni
inpgin ingipn inginp ingpin ingpni ingnpi ingnip igninp ignipn ignnip ignnpi
ignpni ignpin iginnp iginpn iginnp iginpn igipnn igipnn igninp ignipn ignnip
ignnpi ignpni ignpin igpinn igpinn igpnin igpnni igpnni igpnin niping nipign
nipnig nipngi nipgni nipgin niipng niipgn niinpg niingp niignp niigpn ninipg
ninigp ninpig ninpgi ningpi ningip niginp nigipn nignip nignpi nigpni nigpin
npiing npiign npinig npingi npigni npigin npiing npiign npinig npingi npigni
npigin npniig npnigi npniig npnigi npngii npngii npgini npgiin npgnii npgnii
npgini npgiin niping nipign nipnig nipngi nipgni nipgin niipng niipgn niinpg
niingp niignp niigpn ninipg ninigp ninpig ninpgi ningpi ningip niginp nigipn
nignip nignpi nigpni nigpin nnpiig nnpigi nnpiig nnpigi nnpgii nnpgii nnipig
nnipgi nniipg nniigp nnigip nnigpi nniipg nniigp nnipig nnipgi nnigpi nnigip
nngiip nngipi nngiip nngipi nngpii nngpii ngpini ngpiin ngpnii ngpnii ngpini
ngpiin ngipni ngipin nginpi nginip ngiinp ngiipn ngnipi ngniip ngnpii ngnpii
ngnipi ngniip ngiinp ngiipn nginip nginpi ngipni ngipin iinpng iinpgn iinnpg
iinngp iingnp iingpn iipnng iipngn iipnng iipngn iipgnn iipgnn iinpng iinpgn
iinnpg iinngp iingnp iingpn iigpnn iigpnn iignpn iignnp iignnp iignpn inipng
inipgn ininpg iningp inignp inigpn inping inpign inpnig inpngi inpgni inpgin
innpig innpgi innipg innigp inngip inngpi ingpni ingpin ingnpi ingnip inginp
ingipn ipning ipnign ipnnig ipnngi ipngni ipngin ipinng ipingn ipinng ipingn
ipignn ipignn ipning ipnign ipnnig ipnngi ipngni ipngin ipginn ipginn ipgnin
ipgnni ipgnni ipgnin innpig innpgi innipg innigp inngip inngpi inpnig inpngi
inping inpign inpgin inpgni inipng inipgn ininpg iningp inignp inigpn ingpin
ingpni ingipn inginp ingnip ingnpi ignpni ignpin ignnpi ignnip igninp ignipn
igpnni igpnin igpnni igpnin igpinn igpinn ignpni ignpin ignnpi ignnip igninp
ignipn igipnn igipnn iginpn iginnp iginnp iginpn ninipg ninigp ninpig ninpgi
ningpi ningip niinpg niingp niipng niipgn niigpn niignp niping nipign nipnig
nipngi nipgni nipgin nigipn niginp nigpin nigpni nignpi nignip nniipg nniigp
nnipig nnipgi nnigpi nnigip nniipg nniigp nnipig nnipgi nnigpi nnigip nnpiig
nnpigi nnpiig nnpigi nnpgii nnpgii nngipi nngiip nngpii nngpii nngipi nngiip
ninipg ninigp ninpig ninpgi ningpi ningip niinpg niingp niipng niipgn niigpn
niignp niping nipign nipnig nipngi nipgni nipgin nigipn niginp nigpin nigpni
nignpi nignip npniig npnigi npniig npnigi npngii npngii npinig npingi npiing
npiign npigin npigni npiing npiign npinig npingi npigni npigin npgiin npgini
npgiin npgini npgnii npgnii ngnipi ngniip ngnpii ngnpii ngnipi ngniip nginpi
nginip ngipni ngipin ngiipn ngiinp ngpini ngpiin ngpnii ngpnii ngpini ngpiin
ngiipn ngiinp ngipin ngipni nginpi nginip gininp ginipn ginnip ginnpi ginpni
ginpin giinnp giinpn giinnp giinpn giipnn giipnn gininp ginipn ginnip ginnpi
ginpni ginpin gipinn gipinn gipnin gipnni gipnni gipnin gniinp gniipn gninip
gninpi gnipni gnipin gniinp gniipn gninip gninpi gnipni gnipin gnniip gnnipi
gnniip gnnipi gnnpii gnnpii gnpini gnpiin gnpnii gnpnii gnpini gnpiin gininp
ginipn ginnip ginnpi ginpni ginpin giinnp giinpn giinnp giinpn giipnn giipnn
gininp ginipn ginnip ginnpi ginpni ginpin gipinn gipinn gipnin gipnni gipnni
gipnin gnniip gnnipi gnniip gnnipi gnnpii gnnpii gninip gninpi gniinp gniipn
gnipin gnipni gniinp gniipn gninip gninpi gnipni gnipin gnpiin gnpini gnpiin
gnpini gnpnii gnpnii gpnini gpniin gpnnii gpnnii gpnini gpniin gpinni gpinin
gpinni gpinin gpiinn gpiinn gpnini gpniin gpnnii gpnnii gpnini gpniin gpiinn
gpiinn gpinin gpinni gpinni gpinin

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

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