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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: somnum
cipher variations:
tpnovn uqopwo vrpqxp wsqryq xtrszr
yustas zvtubt awuvcu bxvwdv cywxew
dzxyfx eayzgy fbzahz gcabia hdbcjb
iecdkc jfdeld kgefme lhfgnf mighog
njhiph okijqi pljkrj qmklsk rnlmtl

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.)
Read more ...
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: somnum
Cipher: hlnmfn

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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: somnum
Cipher: BAAAB ABBAB ABABB ABBAA BAABB ABABB

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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: somnum
cipher variations:
tpnovndrlojlntjoxjxvholhhxfozfrzdondldzopzvfxodx
fhvorvpjtoftzlrotrjnpohpuqopwoesmpkmoukpykywipmi
iygpagsaepoemeapqawgypeygiwpswqkupguamspuskoqpiq
vrpqxpftnqlnpvlqzlzxjqnjjzhqbhtbfqpfnfbqrbxhzqfz
hjxqtxrlvqhvbntqvtlprqjrwsqryqguormoqwmramaykrok
kairciucgrqgogcrscyiargaikyruysmwriwcourwumqsrks
xtrszrhvpsnprxnsbnbzlspllbjsdjvdhsrhphdstdzjbshb
jlzsvztnxsjxdpvsxvnrtsltyustasiwqtoqsyotcocamtqm
mcktekweitsiqietueakctickmatwauoytkyeqwtywosutmu
zvtubtjxruprtzpudpdbnurnndluflxfjutjrjfuvfbldujd
lnbuxbvpzulzfrxuzxptvunvawuvcukysvqsuaqveqecovso
oemvgmygkvukskgvwgcmevkemocvycwqavmagsyvayquwvow
bxvwdvlztwrtvbrwfrfdpwtppfnwhnzhlwvltlhwxhdnfwlf
npdwzdxrbwnbhtzwbzrvxwpxcywxewmauxsuwcsxgsgeqxuq
qgoxioaimxwmumixyieogxmgoqexaeyscxociuaxcaswyxqy
dzxyfxnbvytvxdtyhthfryvrrhpyjpbjnyxnvnjyzjfphynh
prfybfztdypdjvbydbtxzyrzeayzgyocwzuwyeuziuigszws
siqzkqckozyowokzakgqizoiqsgzcgauezqekwczecuyazsa
fbzahzpdxavxzfvajvjhtaxttjralrdlpazpxplablhrjapj
rthadhbvfarflxdafdvzbatbgcabiaqeybwyagwbkwkiubyu
uksbmsemqbaqyqmbcmiskbqksuibeicwgbsgmyebgewacbuc
hdbcjbrfzcxzbhxclxljvczvvltcntfnrcbrzrncdnjtlcrl
tvjcfjdxhcthnzfchfxbdcvdiecdkcsgadyaciydmymkwdaw
wmudougosdcsasodeokumdsmuwkdgkeyiduioagdigycedwe
jfdeldthbezbdjzenznlxebxxnvepvhptedtbtpefplvnetn
vxlehlfzjevjpbhejhzdfexfkgefmeuicfacekafoaomyfcy
yowfqwiqufeucuqfgqmwofuowymfimgakfwkqcifkiaegfyg
lhfgnfvjdgbdflbgpbpnzgdzzpxgrxjrvgfvdvrghrnxpgvp
xzngjnhblgxlrdjgljbfhgzhmighogwkehcegmchqcqoahea
aqyhsykswhgwewshisoyqhwqyaohkoicmhymsekhmkcgihai
njhiphxlfidfhndirdrpbifbbrzitzltxihxfxtijtpzrixr
zbpilpjdnizntflinldhjibjokijqiymgjegioejsesqcjgc
csajuamuyjiygyujkuqasjysacqjmqkeojaougmjomeikjck
pljkrjznhkfhjpfktftrdkhddtbkvbnvzkjzhzvklvrbtkzt
bdrknrlfpkbpvhnkpnfjlkdlqmklskaoilgikqgluguselie
euclwcowalkaiawlmwsculauceslosmgqlcqwiolqogkmlem
rnlmtlbpjmhjlrhmvhvtfmjffvdmxdpxbmlbjbxmnxtdvmbv
dftmptnhrmdrxjpmrphlnmfnsomnumcqknikmsinwiwugnkg
gwenyeqycnmckcynoyuewncwegunquoisnesykqnsqimongo

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: somnum
Cipher: fbzahz

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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: somnum
Cipher: 344323335423

Extended Methods:
Method #1

Plaintext: somnum
method variations:
xtrszrcywxewhdbckbnighpg

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s o m n u m 
3 4 2 3 5 2 
4 3 3 3 4 3 
They are then read out in rows:
342352433343
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: somnum
Cipher: smkono

Read more ...
Method #3

Plaintext: somnum
method variations:
thnxin hnxint nxinth
xinthn inthnx nthnxi

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: somnum

all 720 cipher variations:
somnum somnmu somunm somumn sommun sommnu sonmum sonmmu sonumm sonumm sonmum
sonmmu sounmm sounmm soumnm soummn soummn soumnm somnum somnmu somunm somumn
sommun sommnu smonum smonmu smounm smoumn smomun smomnu smnoum smnomu smnuom
smnumo smnmuo smnmou smunom smunmo smuonm smuomn smumon smumno smmnuo smmnou
smmuno smmuon smmoun smmonu snmoum snmomu snmuom snmumo snmmuo snmmou snomum
snommu snoumm snoumm snomum snommu snuomm snuomm snumom snummo snummo snumom
snmoum snmomu snmuom snmumo snmmuo snmmou sumnom sumnmo sumonm sumomn summon
summno sunmom sunmmo sunomm sunomm sunmom sunmmo suonmm suonmm suomnm suommn
suommn suomnm sumnom sumnmo sumonm sumomn summon summno smmnuo smmnou smmuno
smmuon smmoun smmonu smnmuo smnmou smnumo smnuom smnoum smnomu smunmo smunom
smumno smumon smuomn smuonm smonum smonmu smounm smoumn smomun smomnu osmnum
osmnmu osmunm osmumn osmmun osmmnu osnmum osnmmu osnumm osnumm osnmum osnmmu
osunmm osunmm osumnm osummn osummn osumnm osmnum osmnmu osmunm osmumn osmmun
osmmnu omsnum omsnmu omsunm omsumn omsmun omsmnu omnsum omnsmu omnusm omnums
omnmus omnmsu omunsm omunms omusnm omusmn omumsn omumns ommnus ommnsu ommuns
ommusn ommsun ommsnu onmsum onmsmu onmusm onmums onmmus onmmsu onsmum onsmmu
onsumm onsumm onsmum onsmmu onusmm onusmm onumsm onumms onumms onumsm onmsum
onmsmu onmusm onmums onmmus onmmsu oumnsm oumnms oumsnm oumsmn oummsn oummns
ounmsm ounmms ounsmm ounsmm ounmsm ounmms ousnmm ousnmm ousmnm ousmmn ousmmn
ousmnm oumnsm oumnms oumsnm oumsmn oummsn oummns ommnus ommnsu ommuns ommusn
ommsun ommsnu omnmus omnmsu omnums omnusm omnsum omnsmu omunms omunsm omumns
omumsn omusmn omusnm omsnum omsnmu omsunm omsumn omsmun omsmnu mosnum mosnmu
mosunm mosumn mosmun mosmnu monsum monsmu monusm monums monmus monmsu mounsm
mounms mousnm mousmn moumsn moumns momnus momnsu momuns momusn momsun momsnu
msonum msonmu msounm msoumn msomun msomnu msnoum msnomu msnuom msnumo msnmuo
msnmou msunom msunmo msuonm msuomn msumon msumno msmnuo msmnou msmuno msmuon
msmoun msmonu mnsoum mnsomu mnsuom mnsumo mnsmuo mnsmou mnosum mnosmu mnousm
mnoums mnomus mnomsu mnuosm mnuoms mnusom mnusmo mnumso mnumos mnmous mnmosu
mnmuos mnmuso mnmsuo mnmsou musnom musnmo musonm musomn musmon musmno munsom
munsmo munosm munoms munmos munmso muonsm muonms muosnm muosmn muomsn muomns
mumnos mumnso mumons mumosn mumson mumsno mmsnuo mmsnou mmsuno mmsuon mmsoun
mmsonu mmnsuo mmnsou mmnuso mmnuos mmnous mmnosu mmunso mmunos mmusno mmuson
mmuosn mmuons mmonus mmonsu mmouns mmousn mmosun mmosnu nomsum nomsmu nomusm
nomums nommus nommsu nosmum nosmmu nosumm nosumm nosmum nosmmu nousmm nousmm
noumsm noumms noumms noumsm nomsum nomsmu nomusm nomums nommus nommsu nmosum
nmosmu nmousm nmoums nmomus nmomsu nmsoum nmsomu nmsuom nmsumo nmsmuo nmsmou
nmusom nmusmo nmuosm nmuoms nmumos nmumso nmmsuo nmmsou nmmuso nmmuos nmmous
nmmosu nsmoum nsmomu nsmuom nsmumo nsmmuo nsmmou nsomum nsommu nsoumm nsoumm
nsomum nsommu nsuomm nsuomm nsumom nsummo nsummo nsumom nsmoum nsmomu nsmuom
nsmumo nsmmuo nsmmou numsom numsmo numosm numoms nummos nummso nusmom nusmmo
nusomm nusomm nusmom nusmmo nuosmm nuosmm nuomsm nuomms nuomms nuomsm numsom
numsmo numosm numoms nummos nummso nmmsuo nmmsou nmmuso nmmuos nmmous nmmosu
nmsmuo nmsmou nmsumo nmsuom nmsoum nmsomu nmusmo nmusom nmumso nmumos nmuoms
nmuosm nmosum nmosmu nmousm nmoums nmomus nmomsu uomnsm uomnms uomsnm uomsmn
uommsn uommns uonmsm uonmms uonsmm uonsmm uonmsm uonmms uosnmm uosnmm uosmnm
uosmmn uosmmn uosmnm uomnsm uomnms uomsnm uomsmn uommsn uommns umonsm umonms
umosnm umosmn umomsn umomns umnosm umnoms umnsom umnsmo umnmso umnmos umsnom
umsnmo umsonm umsomn umsmon umsmno ummnso ummnos ummsno ummson ummosn ummons
unmosm unmoms unmsom unmsmo unmmso unmmos unomsm unomms unosmm unosmm unomsm
unomms unsomm unsomm unsmom unsmmo unsmmo unsmom unmosm unmoms unmsom unmsmo
unmmso unmmos usmnom usmnmo usmonm usmomn usmmon usmmno usnmom usnmmo usnomm
usnomm usnmom usnmmo usonmm usonmm usomnm usommn usommn usomnm usmnom usmnmo
usmonm usmomn usmmon usmmno ummnso ummnos ummsno ummson ummosn ummons umnmso
umnmos umnsmo umnsom umnosm umnoms umsnmo umsnom umsmno umsmon umsomn umsonm
umonsm umonms umosnm umosmn umomsn umomns momnus momnsu momuns momusn momsun
momsnu monmus monmsu monums monusm monsum monsmu mounms mounsm moumns moumsn
mousmn mousnm mosnum mosnmu mosunm mosumn mosmun mosmnu mmonus mmonsu mmouns
mmousn mmosun mmosnu mmnous mmnosu mmnuos mmnuso mmnsuo mmnsou mmunos mmunso
mmuons mmuosn mmuson mmusno mmsnuo mmsnou mmsuno mmsuon mmsoun mmsonu mnmous
mnmosu mnmuos mnmuso mnmsuo mnmsou mnomus mnomsu mnoums mnousm mnosum mnosmu
mnuoms mnuosm mnumos mnumso mnusmo mnusom mnsoum mnsomu mnsuom mnsumo mnsmuo
mnsmou mumnos mumnso mumons mumosn mumson mumsno munmos munmso munoms munosm
munsom munsmo muonms muonsm muomns muomsn muosmn muosnm musnom musnmo musonm
musomn musmon musmno msmnuo msmnou msmuno msmuon msmoun msmonu msnmuo msnmou
msnumo msnuom msnoum msnomu msunmo msunom msumno msumon msuomn msuonm msonum
msonmu msounm msoumn msomun msomnu

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