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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: momcat
cipher variations:
npndbu oqoecv prpfdw qsqgex rtrhfy
susigz tvtjha uwukib vxvljc wywmkd
xzxnle yayomf zbzpng acaqoh bdbrpi
cecsqj dfdtrk egeusl fhfvtm gigwun
hjhxvo ikiywp jljzxq kmkayr lnlbzs

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: momcat
Cipher: nlnxzg

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: momcat
Cipher: ABABB ABBAB ABABB AAABA AAAAA BAABA

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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: momcat
cipher variations:
npndbulrlhbgjtjlbshvhpbefxftbqdzdxbczdzfbaxfxjbm
vhvnbytjtrbkrlrvbwpnpzbioqoecvmsmichkukmctiwiqcf
gygucreaeycdaeagcbygykcnwiwoczukusclsmswcxqoqacj
prpfdwntnjdilvlndujxjrdghzhvdsfbfzdebfbhdczhzldo
xjxpdavlvtdmtntxdyrprbdkqsqgexouokejmwmoevkykseh
iaiwetgcgaefcgciedaiamepykyqebwmwuenuouyezsqscel
rtrhfypvplfknxnpfwlzltfijbjxfuhdhbfgdhdjfebjbnfq
zlzrfcxnxvfovpvzfatrtdfmsusigzqwqmgloyoqgxmamugj
kckygvieicgheiekgfckcogramasgdyoywgpwqwagbusuegn
tvtjharxrnhmpzprhynbnvhkldlzhwjfjdhifjflhgdldphs
bnbthezpzxhqxrxbhcvtvfhouwukibsysoinqaqsizocowil
memaixkgkeijgkgmihemeqitcocuifaqayirysycidwuwgip
vxvljctztpjorbrtjapdpxjmnfnbjylhlfjkhlhnjifnfrju
dpdvjgbrbzjsztzdjexvxhjqwywmkduauqkpscsukbqeqykn
ogockzmimgklimiokjgogskveqewkhcscaktauaekfywyikr
xzxnlevbvrlqtdtvlcrfrzlophpdlanjnhlmjnjplkhphtlw
frfxlidtdblubvbflgzxzjlsyayomfwcwsmrueuwmdsgsamp
qiqembokoimnkokqmliqiumxgsgymjeuecmvcwcgmhayakmt
zbzpngxdxtnsvfvxnethtbnqrjrfncplpjnolplrnmjrjvny
hthznkfvfdnwdxdhnibzblnuacaqohyeyuotwgwyofuiucor
sksgodqmqkopmqmsonkskwoziuiaolgwgeoxeyeiojcacmov
bdbrpizfzvpuxhxzpgvjvdpstlthpernrlpqnrntpoltlxpa
jvjbpmhxhfpyfzfjpkdbdnpwcecsqjagawqvyiyaqhwkweqt
umuiqfsosmqrosouqpmumyqbkwkcqniyigqzgagkqleceoqx
dfdtrkbhbxrwzjzbrixlxfruvnvjrgtptnrsptpvrqnvnzrc
lxldrojzjhrahbhlrmfdfpryegeuslcicysxakacsjymygsv
wowkshuquostquqwsrowoasdmymespkakisbicimsngegqsz
fhfvtmdjdztyblbdtkznzhtwxpxltivrvpturvrxtspxpbte
nznftqlbljtcjdjntohfhrtagigwunekeauzcmceulaoaiux
yqymujwswquvswsyutqyqcufoaogurmcmkudkekoupigisub
hjhxvoflfbvadndfvmbpbjvyzrznvkxtxrvwtxtzvurzrdvg
pbphvsndnlvelflpvqjhjtvcikiywpgmgcwbeoegwncqckwz
asaowlyuyswxuyuawvsasewhqcqiwtoeomwfmgmqwrkikuwd
jljzxqhnhdxcfpfhxodrdlxabtbpxmzvztxyvzvbxwtbtfxi
rdrjxupfpnxgnhnrxsljlvxekmkayrioieydgqgiypesemyb
cucqynawauyzwawcyxucugyjseskyvqgqoyhoiosytmkmwyf
lnlbzsjpjfzehrhjzqftfnzcdvdrzobxbvzaxbxdzyvdvhzk
tftlzwrhrpzipjptzunlnxzgmomcatkqkgafisikargugoad
ewesapcycwabycyeazwewialugumaxsisqajqkquavomoyah

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,

Read more ...

 

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: momcat
Cipher: zbzpng

Read more ...

 

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: momcat
Cipher: 234323311144

Extended Methods:
Method #1

Plaintext: momcat
method variations:
rtrhfywywnldbdbsqigigxvo

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m o m c a t 
2 4 2 3 1 4 
3 3 3 1 1 4 
They are then read out in rows:
242314333114
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: momcat
Cipher: rmqncq

Read more ...
Method #3

Plaintext: momcat
method variations:
shnaqi hnaqis naqish
aqishn qishna ishnaq

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: momcat

all 720 cipher variations:
momcat momcta momact momatc momtac momtca mocmat mocmta mocamt mocatm moctam
moctma moacmt moactm moamct moamtc moatmc moatcm motcam motcma motacm motamc
motmac motmca mmocat mmocta mmoact mmoatc mmotac mmotca mmcoat mmcota mmcaot
mmcato mmctao mmctoa mmacot mmacto mmaoct mmaotc mmatoc mmatco mmtcao mmtcoa
mmtaco mmtaoc mmtoac mmtoca mcmoat mcmota mcmaot mcmato mcmtao mcmtoa mcomat
mcomta mcoamt mcoatm mcotam mcotma mcaomt mcaotm mcamot mcamto mcatmo mcatom
mctoam mctoma mctaom mctamo mctmao mctmoa mamcot mamcto mamoct mamotc mamtoc
mamtco macmot macmto macomt macotm mactom mactmo maocmt maoctm maomct maomtc
maotmc maotcm matcom matcmo matocm matomc matmoc matmco mtmcao mtmcoa mtmaco
mtmaoc mtmoac mtmoca mtcmao mtcmoa mtcamo mtcaom mtcoam mtcoma mtacmo mtacom
mtamco mtamoc mtaomc mtaocm mtocam mtocma mtoacm mtoamc mtomac mtomca ommcat
ommcta ommact ommatc ommtac ommtca omcmat omcmta omcamt omcatm omctam omctma
omacmt omactm omamct omamtc omatmc omatcm omtcam omtcma omtacm omtamc omtmac
omtmca ommcat ommcta ommact ommatc ommtac ommtca omcmat omcmta omcamt omcatm
omctam omctma omacmt omactm omamct omamtc omatmc omatcm omtcam omtcma omtacm
omtamc omtmac omtmca ocmmat ocmmta ocmamt ocmatm ocmtam ocmtma ocmmat ocmmta
ocmamt ocmatm ocmtam ocmtma ocammt ocamtm ocammt ocamtm ocatmm ocatmm octmam
octmma octamm octamm octmam octmma oamcmt oamctm oammct oammtc oamtmc oamtcm
oacmmt oacmtm oacmmt oacmtm oactmm oactmm oamcmt oamctm oammct oammtc oamtmc
oamtcm oatcmm oatcmm oatmcm oatmmc oatmmc oatmcm otmcam otmcma otmacm otmamc
otmmac otmmca otcmam otcmma otcamm otcamm otcmam otcmma otacmm otacmm otamcm
otammc otammc otamcm otmcam otmcma otmacm otmamc otmmac otmmca momcat momcta
momact momatc momtac momtca mocmat mocmta mocamt mocatm moctam moctma moacmt
moactm moamct moamtc moatmc moatcm motcam motcma motacm motamc motmac motmca
mmocat mmocta mmoact mmoatc mmotac mmotca mmcoat mmcota mmcaot mmcato mmctao
mmctoa mmacot mmacto mmaoct mmaotc mmatoc mmatco mmtcao mmtcoa mmtaco mmtaoc
mmtoac mmtoca mcmoat mcmota mcmaot mcmato mcmtao mcmtoa mcomat mcomta mcoamt
mcoatm mcotam mcotma mcaomt mcaotm mcamot mcamto mcatmo mcatom mctoam mctoma
mctaom mctamo mctmao mctmoa mamcot mamcto mamoct mamotc mamtoc mamtco macmot
macmto macomt macotm mactom mactmo maocmt maoctm maomct maomtc maotmc maotcm
matcom matcmo matocm matomc matmoc matmco mtmcao mtmcoa mtmaco mtmaoc mtmoac
mtmoca mtcmao mtcmoa mtcamo mtcaom mtcoam mtcoma mtacmo mtacom mtamco mtamoc
mtaomc mtaocm mtocam mtocma mtoacm mtoamc mtomac mtomca commat commta comamt
comatm comtam comtma commat commta comamt comatm comtam comtma coammt coamtm
coammt coamtm coatmm coatmm cotmam cotmma cotamm cotamm cotmam cotmma cmomat
cmomta cmoamt cmoatm cmotam cmotma cmmoat cmmota cmmaot cmmato cmmtao cmmtoa
cmamot cmamto cmaomt cmaotm cmatom cmatmo cmtmao cmtmoa cmtamo cmtaom cmtoam
cmtoma cmmoat cmmota cmmaot cmmato cmmtao cmmtoa cmomat cmomta cmoamt cmoatm
cmotam cmotma cmaomt cmaotm cmamot cmamto cmatmo cmatom cmtoam cmtoma cmtaom
cmtamo cmtmao cmtmoa cammot cammto camomt camotm camtom camtmo cammot cammto
camomt camotm camtom camtmo caommt caomtm caommt caomtm caotmm caotmm catmom
catmmo catomm catomm catmom catmmo ctmmao ctmmoa ctmamo ctmaom ctmoam ctmoma
ctmmao ctmmoa ctmamo ctmaom ctmoam ctmoma ctammo ctamom ctammo ctamom ctaomm
ctaomm ctomam ctomma ctoamm ctoamm ctomam ctomma aomcmt aomctm aommct aommtc
aomtmc aomtcm aocmmt aocmtm aocmmt aocmtm aoctmm aoctmm aomcmt aomctm aommct
aommtc aomtmc aomtcm aotcmm aotcmm aotmcm aotmmc aotmmc aotmcm amocmt amoctm
amomct amomtc amotmc amotcm amcomt amcotm amcmot amcmto amctmo amctom ammcot
ammcto ammoct ammotc ammtoc ammtco amtcmo amtcom amtmco amtmoc amtomc amtocm
acmomt acmotm acmmot acmmto acmtmo acmtom acommt acomtm acommt acomtm acotmm
acotmm acmomt acmotm acmmot acmmto acmtmo acmtom actomm actomm actmom actmmo
actmmo actmom ammcot ammcto ammoct ammotc ammtoc ammtco amcmot amcmto amcomt
amcotm amctom amctmo amocmt amoctm amomct amomtc amotmc amotcm amtcom amtcmo
amtocm amtomc amtmoc amtmco atmcmo atmcom atmmco atmmoc atmomc atmocm atcmmo
atcmom atcmmo atcmom atcomm atcomm atmcmo atmcom atmmco atmmoc atmomc atmocm
atocmm atocmm atomcm atommc atommc atomcm tomcam tomcma tomacm tomamc tommac
tommca tocmam tocmma tocamm tocamm tocmam tocmma toacmm toacmm toamcm toammc
toammc toamcm tomcam tomcma tomacm tomamc tommac tommca tmocam tmocma tmoacm
tmoamc tmomac tmomca tmcoam tmcoma tmcaom tmcamo tmcmao tmcmoa tmacom tmacmo
tmaocm tmaomc tmamoc tmamco tmmcao tmmcoa tmmaco tmmaoc tmmoac tmmoca tcmoam
tcmoma tcmaom tcmamo tcmmao tcmmoa tcomam tcomma tcoamm tcoamm tcomam tcomma
tcaomm tcaomm tcamom tcammo tcammo tcamom tcmoam tcmoma tcmaom tcmamo tcmmao
tcmmoa tamcom tamcmo tamocm tamomc tammoc tammco tacmom tacmmo tacomm tacomm
tacmom tacmmo taocmm taocmm taomcm taommc taommc taomcm tamcom tamcmo tamocm
tamomc tammoc tammco tmmcao tmmcoa tmmaco tmmaoc tmmoac tmmoca tmcmao tmcmoa
tmcamo tmcaom tmcoam tmcoma tmacmo tmacom tmamco tmamoc tmaomc tmaocm tmocam
tmocma tmoacm tmoamc tmomac tmomca

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

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