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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: mondao
cipher variations:
npoebp oqpfcq prqgdr qsrhes rtsift
sutjgu tvukhv uwvliw vxwmjx wyxnky
xzyolz yazpma zbaqnb acbroc bdcspd
cedtqe dfeurf egfvsg fhgwth gihxui
hjiyvj ikjzwk jlkaxl kmlbym lnmczn

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: mondao
Cipher: nlmwzl

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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: mondao
Cipher: ABABB ABBAB ABBAA AAABB AAAAA ABBAB

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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: mondao
cipher variations:
npoebplrokbrjtoqbthvowbvfxocbxdzoibzzdoubdxfoabf
vhogbhtjombjrlosblpnoybnoqpfcqmsplcskuprcuiwpxcw
gypdcyeapjcaaepvceygpbcgwiphciukpncksmptcmqopzco
prqgdrntqmdtlvqsdvjxqydxhzqedzfbqkdbbfqwdfzhqcdh
xjqidjvlqodltnqudnrpqadpqsrhesourneumwrtewkyrzey
iarfeagcrleccgrxegairdeiykrjekwmrpemuorveosqrbeq
rtsiftpvsofvnxsufxlzsafzjbsgfbhdsmfddhsyfhbjsefj
zlskflxnsqfnvpswfptrscfrsutjguqwtpgwoytvgymatbga
kcthgcietngeeitzgicktfgkamtlgmyotrgowqtxgqustdgs
tvukhvrxuqhxpzuwhznbuchblduihdjfuohffjuahjdlughl
bnumhnzpushpxruyhrvtuehtuwvliwsyvriyqavxiaocvdic
mevjiekgvpiggkvbikemvhimcovnioaqvtiqysvziswuvfiu
vxwmjxtzwsjzrbwyjbpdwejdnfwkjflhwqjhhlwcjlfnwijn
dpwojpbrwujrztwajtxvwgjvwyxnkyuaxtkascxzkcqexfke
ogxlkgmixrkiimxdkmgoxjkoeqxpkqcsxvksauxbkuywxhkw
xzyolzvbyulbtdyaldrfyglfphymlhnjysljjnyelnhpyklp
fryqlrdtywltbvyclvzxyilxyazpmawczvmcuezbmesgzhmg
qiznmiokztmkkozfmoiqzlmqgszrmseuzxmucwzdmwayzjmy
zbaqnbxdawndvfacnfthainhrjaonjplaunllpagnpjramnr
htasntfvaynvdxaenxbzaknzacbrocyebxoewgbdoguibjoi
skbpokqmbvommqbhoqksbnosiubtougwbzoweybfoycabloa
bdcspdzfcypfxhcephvjckpjtlcqplrncwpnnrciprltcopt
jvcupvhxcapxfzcgpzdbcmpbcedtqeagdzqgyidfqiwkdlqk
umdrqmsodxqoosdjqsmudpqukwdvqwiydbqygadhqaecdnqc
dfeurfbhearhzjegrjxlemrlvnesrntpeyrpptekrtnveqrv
lxewrxjzecrzhbeirbfdeordegfvsgcifbsiakfhskymfnsm
woftsouqfzsqquflsuowfrswmyfxsykafdsaicfjscgefpse
fhgwthdjgctjblgitlzngotnxpgutpvrgatrrvgmtvpxgstx
nzgytzlbgetbjdgktdhfgqtfgihxuiekhdukcmhjumaohpuo
yqhvuqwshbusswhnuwqyhtuyoahzuamchfuckehlueighrug
hjiyvjflievldnikvnbpiqvpzriwvrxticvttxiovxrziuvz
pbiavbndigvdlfimvfjhisvhikjzwkgmjfwmeojlwocqjrwq
asjxwsyujdwuuyjpwysajvwaqcjbwcoejhwemgjnwgkijtwi
jlkaxlhnkgxnfpkmxpdrksxrbtkyxtzvkexvvzkqxztbkwxb
rdkcxdpfkixfnhkoxhljkuxjkmlbymiolhyogqlnyqesltys
culzyuawlfywwalryauclxycseldyeqgljygoilpyimklvyk
lnmcznjpmizphrmozrftmuztdvmazvbxmgzxxbmszbvdmyzd
tfmezfrhmkzhpjmqzjnlmwzlmondaokqnjaqisnpasgunvau
ewnbawcynhayycntacwenzaeugnfagsinlaiqknrakomnxam

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: mondao
Cipher: zbaqnb

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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: mondao
Cipher: 234333411143

Extended Methods:
Method #1

Plaintext: mondao
method variations:
rtsiftwyxolybdctqdgihyvi

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m o n d a o 
2 4 3 4 1 4 
3 3 3 1 1 3 
They are then read out in rows:
243414333113
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: mondao
Cipher: rsqncl

Read more ...
Method #3

Plaintext: mondao
method variations:
snsaqh nsaqhs saqhsn
aqhsns qhsnsa hsnsaq

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: mondao

all 720 cipher variations:
mondao mondoa monado monaod monoad monoda modnao modnoa modano modaon modoan
modona moadno moadon moando moanod moaond moaodn moodan moodna mooadn mooand
moonad moonda mnodao mnodoa mnoado mnoaod mnooad mnooda mndoao mndooa mndaoo
mndaoo mndoao mndooa mnadoo mnadoo mnaodo mnaood mnaood mnaodo mnodao mnodoa
mnoado mnoaod mnooad mnooda mdnoao mdnooa mdnaoo mdnaoo mdnoao mdnooa mdonao
mdonoa mdoano mdoaon mdooan mdoona mdaono mdaoon mdanoo mdanoo mdaono mdaoon
mdooan mdoona mdoaon mdoano mdonao mdonoa mandoo mandoo manodo manood manood
manodo madnoo madnoo madono madoon madoon madono maodno maodon maondo maonod
maoond maoodn maodon maodno maoodn maoond maonod maondo mondao mondoa monado
monaod monoad monoda modnao modnoa modano modaon modoan modona moadno moadon
moando moanod moaond moaodn moodan moodna mooadn mooand moonad moonda omndao
omndoa omnado omnaod omnoad omnoda omdnao omdnoa omdano omdaon omdoan omdona
omadno omadon omando omanod omaond omaodn omodan omodna omoadn omoand omonad
omonda onmdao onmdoa onmado onmaod onmoad onmoda ondmao ondmoa ondamo ondaom
ondoam ondoma onadmo onadom onamdo onamod onaomd onaodm onodam onodma onoadm
onoamd onomad onomda odnmao odnmoa odnamo odnaom odnoam odnoma odmnao odmnoa
odmano odmaon odmoan odmona odamno odamon odanmo odanom odaonm odaomn odoman
odomna odoamn odoanm odonam odonma oandmo oandom oanmdo oanmod oanomd oanodm
oadnmo oadnom oadmno oadmon oadomn oadonm oamdno oamdon oamndo oamnod oamond
oamodn oaodmn oaodnm oaomdn oaomnd oaonmd oaondm oondam oondma oonadm oonamd
oonmad oonmda oodnam oodnma oodanm oodamn oodman oodmna ooadnm ooadmn ooandm
ooanmd ooamnd ooamdn oomdan oomdna oomadn oomand oomnad oomnda nomdao nomdoa
nomado nomaod nomoad nomoda nodmao nodmoa nodamo nodaom nodoam nodoma noadmo
noadom noamdo noamod noaomd noaodm noodam noodma nooadm nooamd noomad noomda
nmodao nmodoa nmoado nmoaod nmooad nmooda nmdoao nmdooa nmdaoo nmdaoo nmdoao
nmdooa nmadoo nmadoo nmaodo nmaood nmaood nmaodo nmodao nmodoa nmoado nmoaod
nmooad nmooda ndmoao ndmooa ndmaoo ndmaoo ndmoao ndmooa ndomao ndomoa ndoamo
ndoaom ndooam ndooma ndaomo ndaoom ndamoo ndamoo ndaomo ndaoom ndooam ndooma
ndoaom ndoamo ndomao ndomoa namdoo namdoo namodo namood namood namodo nadmoo
nadmoo nadomo nadoom nadoom nadomo naodmo naodom naomdo naomod naoomd naoodm
naodom naodmo naoodm naoomd naomod naomdo nomdao nomdoa nomado nomaod nomoad
nomoda nodmao nodmoa nodamo nodaom nodoam nodoma noadmo noadom noamdo noamod
noaomd noaodm noodam noodma nooadm nooamd noomad noomda donmao donmoa donamo
donaom donoam donoma domnao domnoa domano domaon domoan domona doamno doamon
doanmo doanom doaonm doaomn dooman doomna dooamn dooanm doonam doonma dnomao
dnomoa dnoamo dnoaom dnooam dnooma dnmoao dnmooa dnmaoo dnmaoo dnmoao dnmooa
dnamoo dnamoo dnaomo dnaoom dnaoom dnaomo dnomao dnomoa dnoamo dnoaom dnooam
dnooma dmnoao dmnooa dmnaoo dmnaoo dmnoao dmnooa dmonao dmonoa dmoano dmoaon
dmooan dmoona dmaono dmaoon dmanoo dmanoo dmaono dmaoon dmooan dmoona dmoaon
dmoano dmonao dmonoa danmoo danmoo danomo danoom danoom danomo damnoo damnoo
damono damoon damoon damono daomno daomon daonmo daonom daoonm daoomn daomon
daomno daoomn daoonm daonom daonmo donmao donmoa donamo donaom donoam donoma
domnao domnoa domano domaon domoan domona doamno doamon doanmo doanom doaonm
doaomn dooman doomna dooamn dooanm doonam doonma aondmo aondom aonmdo aonmod
aonomd aonodm aodnmo aodnom aodmno aodmon aodomn aodonm aomdno aomdon aomndo
aomnod aomond aomodn aoodmn aoodnm aoomdn aoomnd aoonmd aoondm anodmo anodom
anomdo anomod anoomd anoodm andomo andoom andmoo andmoo andomo andoom anmdoo
anmdoo anmodo anmood anmood anmodo anodmo anodom anomdo anomod anoomd anoodm
adnomo adnoom adnmoo adnmoo adnomo adnoom adonmo adonom adomno adomon adoomn
adoonm admono admoon admnoo admnoo admono admoon adoomn adoonm adomon adomno
adonmo adonom amndoo amndoo amnodo amnood amnood amnodo amdnoo amdnoo amdono
amdoon amdoon amdono amodno amodon amondo amonod amoond amoodn amodon amodno
amoodn amoond amonod amondo aondmo aondom aonmdo aonmod aonomd aonodm aodnmo
aodnom aodmno aodmon aodomn aodonm aomdno aomdon aomndo aomnod aomond aomodn
aoodmn aoodnm aoomdn aoomnd aoonmd aoondm oondam oondma oonadm oonamd oonmad
oonmda oodnam oodnma oodanm oodamn oodman oodmna ooadnm ooadmn ooandm ooanmd
ooamnd ooamdn oomdan oomdna oomadn oomand oomnad oomnda onodam onodma onoadm
onoamd onomad onomda ondoam ondoma ondaom ondamo ondmao ondmoa onadom onadmo
onaodm onaomd onamod onamdo onmdao onmdoa onmado onmaod onmoad onmoda odnoam
odnoma odnaom odnamo odnmao odnmoa odonam odonma odoanm odoamn odoman odomna
odaonm odaomn odanom odanmo odamno odamon odmoan odmona odmaon odmano odmnao
odmnoa oandom oandmo oanodm oanomd oanmod oanmdo oadnom oadnmo oadonm oadomn
oadmon oadmno oaodnm oaodmn oaondm oaonmd oaomnd oaomdn oamdon oamdno oamodn
oamond oamnod oamndo omndao omndoa omnado omnaod omnoad omnoda omdnao omdnoa
omdano omdaon omdoan omdona omadno omadon omando omanod omaond omaodn omodan
omodna omoadn omoand omonad omonda

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