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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: shiels
cipher variations:
tijfmt ujkgnu vklhov wlmipw xmnjqx
ynokry zoplsz apqmta bqrnub crsovc
dstpwd etuqxe fuvryf gvwszg hwxtah
ixyubi jyzvcj kzawdk labxel mbcyfm
ncdzgn odeaho pefbip qfgcjq rghdkr

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: shiels
Cipher: hsrvoh

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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: shiels
Cipher: BAAAB AABBB ABAAA AABAA ABABA BAAAB

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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: shiels
cipher variations:
tijfmtdwznidnkpvenxyfdaxhmvlwhraltsrlcrjklvqhrgv
fexzcfpsnhypzgdpuzjutxqjujkgnuexaojeolqwfoyzgeby
inwmxisbmutsmdsklmwrishwgfyadgqtoizqaheqvakvuyrk
vklhovfybpkfpmrxgpzahfczjoxnyjtcnvutnetlmnxsjtix
hgzbehrupjarbifrwblwvzslwlmipwgzcqlgqnsyhqabigda
kpyozkudowvuofumnoytkujyihacfisvqkbscjgsxcmxwatm
xmnjqxhadrmhrotzirbcjheblqzpalvepxwvpgvnopzulvkz
jibdgjtwrlctdkhtydnyxbunynokryibesnispuajscdkifc
mraqbmwfqyxwqhwopqavmwlakjcehkuxsmdueliuzeozycvo
zoplszjcftojtqvbktdeljgdnsbrcnxgrzyxrixpqrbwnxmb
lkdfilvytnevfmjvafpazdwpapqmtakdgupkurwcluefmkhe
otcsdoyhsazysjyqrscxoyncmlegjmwzuofwgnkwbgqbaexq
bqrnublehvqlvsxdmvfgnlifpudtepzitbaztkzrstdypzod
nmfhknxavpgxholxchrcbfyrcrsovcmfiwrmwtyenwghomjg
qveufqajucbaulastuezqapeongiloybwqhyipmydisdcgzs
dstpwdngjxsnxuzfoxhipnkhrwfvgrbkvdcbvmbtuvfarbqf
pohjmpzcxrizjqnzejtedhatetuqxeohkytoyvagpyijqoli
sxgwhsclwedcwncuvwgbscrgqpiknqadysjakroafkufeibu
fuvryfpilzupzwbhqzjkrpmjtyhxitdmxfedxodvwxhctdsh
rqjlorbeztkblspbglvgfjcvgvwszgqjmavqaxciraklsqnk
uziyjuenygfeypewxyiduetisrkmpscfaulcmtqchmwhgkdw
hwxtahrknbwrbydjsblmtrolvajzkvfozhgfzqfxyzjevfuj
tslnqtdgbvmdnurdinxihlexixyubislocxsczektcmnuspm
wbkalwgpaihgargyzakfwgvkutmoruehcwneovsejoyjimfy
jyzvcjtmpdytdafludnovtqnxclbmxhqbjihbshzablgxhwl
vunpsvfidxofpwtfkpzkjngzkzawdkunqezuebgmveopwuro
ydmcnyirckjictiabcmhyixmwvoqtwgjeypgqxuglqalkoha
labxelvorfavfchnwfpqxvspzendozjsdlkjdujbcdnizjyn
xwpruxhkfzqhryvhmrbmlpibmbcyfmwpsgbwgdioxgqrywtq
afoepaktemlkevkcdeojakzoyxqsvyilgariszwinscnmqjc
ncdzgnxqthcxhejpyhrszxurbgpfqblufnmlfwldefpkblap
zyrtwzjmhbsjtaxjotdonrkdodeahoyruidyifkqzistayvs
chqgrcmvgonmgxmefgqlcmbqazsuxaknictkubykpueposle
pefbipzsvjezjglrajtubzwtdirhsdnwhponhynfghrmdncr
batvyblojdulvczlqvfqptmfqfgcjqatwkfakhmsbkuvcaxu
ejsiteoxiqpoizoghisneodscbuwzcmpkevmwdamrwgrqung
rghdkrbuxlgblintclvwdbyvfktjufpyjrqpjaphijtofpet
dcvxadnqlfwnxebnsxhsrvohshielscvymhcmjoudmwxeczw
glukvgqzksrqkbqijkupgqfuedwybeormgxoyfcotyitswpi

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: shiels
Cipher: fuvryf

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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: shiels
Cipher: 343242511334

Extended Methods:
Method #1

Plaintext: shiels
method variations:
xnokqxcstpvchxyuahncdzfn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s h i e l s 
3 3 4 5 1 3 
4 2 2 1 3 4 
They are then read out in rows:
334513422134
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: shiels
Cipher: nylibs

Read more ...
Method #3

Plaintext: shiels
method variations:
orwano rwanoo wanoor
anoorw noorwa oorwan

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: shiels

all 720 cipher variations:
shiels shiesl shiles shilse shisle shisel sheils sheisl shelis shelsi shesli
shesil shleis shlesi shlies shlise shlsie shlsei shseli shseil shslei shslie
shsile shsiel sihels sihesl sihles sihlse sihsle sihsel siehls siehsl sielhs
sielsh sieslh sieshl silehs silesh silhes silhse silshe silseh siselh sisehl
sisleh sislhe sishle sishel seihls seihsl seilhs seilsh seislh seishl sehils
sehisl sehlis sehlsi sehsli sehsil selhis selhsi selihs selish selsih selshi
seshli seshil seslhi seslih sesilh sesihl sliehs sliesh slihes slihse slishe
sliseh sleihs sleish slehis slehsi sleshi slesih slheis slhesi slhies slhise
slhsie slhsei slsehi slseih slshei slshie slsihe slsieh ssielh ssiehl ssileh
ssilhe ssihle ssihel sseilh sseihl sselih sselhi ssehli ssehil ssleih sslehi
sslieh sslihe sslhie sslhei ssheli ssheil sshlei sshlie sshile sshiel hsiels
hsiesl hsiles hsilse hsisle hsisel hseils hseisl hselis hselsi hsesli hsesil
hsleis hslesi hslies hslise hslsie hslsei hsseli hsseil hsslei hsslie hssile
hssiel hisels hisesl hisles hislse hissle hissel hiesls hiessl hielss hielss
hiesls hiessl hiless hiless hilses hilsse hilsse hilses hisels hisesl hisles
hislse hissle hissel heisls heissl heilss heilss heisls heissl hesils hesisl
heslis heslsi hessli hessil helsis helssi heliss heliss helsis helssi hessli
hessil heslsi heslis hesils hesisl hliess hliess hlises hlisse hlisse hlises
hleiss hleiss hlesis hlessi hlessi hlesis hlseis hlsesi hlsies hlsise hlssie
hlssei hlsesi hlseis hlssei hlssie hlsise hlsies hsiels hsiesl hsiles hsilse
hsisle hsisel hseils hseisl hselis hselsi hsesli hsesil hsleis hslesi hslies
hslise hslsie hslsei hsseli hsseil hsslei hsslie hssile hssiel ihsels ihsesl
ihsles ihslse ihssle ihssel ihesls ihessl ihelss ihelss ihesls ihessl ihless
ihless ihlses ihlsse ihlsse ihlses ihsels ihsesl ihsles ihslse ihssle ihssel
ishels ishesl ishles ishlse ishsle ishsel isehls isehsl iselhs iselsh iseslh
iseshl islehs islesh islhes islhse islshe islseh isselh issehl issleh isslhe
isshle isshel ieshls ieshsl ieslhs ieslsh iesslh iesshl iehsls iehssl iehlss
iehlss iehsls iehssl ielhss ielhss ielshs ielssh ielssh ielshs ieshls ieshsl
ieslhs ieslsh iesslh iesshl ilsehs ilsesh ilshes ilshse ilsshe ilsseh ileshs
ilessh ilehss ilehss ileshs ilessh ilhess ilhess ilhses ilhsse ilhsse ilhses
ilsehs ilsesh ilshes ilshse ilsshe ilsseh isselh issehl issleh isslhe isshle
isshel iseslh iseshl iselsh iselhs isehls isehsl islesh islehs islseh islshe
islhse islhes ishels ishesl ishles ishlse ishsle ishsel ehisls ehissl ehilss
ehilss ehisls ehissl ehsils ehsisl ehslis ehslsi ehssli ehssil ehlsis ehlssi
ehliss ehliss ehlsis ehlssi ehssli ehssil ehslsi ehslis ehsils ehsisl eihsls
eihssl eihlss eihlss eihsls eihssl eishls eishsl eislhs eislsh eisslh eisshl
eilshs eilssh eilhss eilhss eilshs eilssh eisslh eisshl eislsh eislhs eishls
eishsl esihls esihsl esilhs esilsh esislh esishl eshils eshisl eshlis eshlsi
eshsli eshsil eslhis eslhsi eslihs eslish eslsih eslshi esshli esshil esslhi
esslih essilh essihl elishs elissh elihss elihss elishs elissh elsihs elsish
elshis elshsi elsshi elssih elhsis elhssi elhiss elhiss elhsis elhssi elsshi
elssih elshsi elshis elsihs elsish esislh esishl esilsh esilhs esihls esihsl
essilh essihl esslih esslhi esshli esshil eslsih eslshi eslish eslihs eslhis
eslhsi eshsli eshsil eshlsi eshlis eshils eshisl lhiess lhiess lhises lhisse
lhisse lhises lheiss lheiss lhesis lhessi lhessi lhesis lhseis lhsesi lhsies
lhsise lhssie lhssei lhsesi lhseis lhssei lhssie lhsise lhsies lihess lihess
lihses lihsse lihsse lihses liehss liehss lieshs liessh liessh lieshs lisehs
lisesh lishes lishse lisshe lisseh lisesh lisehs lisseh lisshe lishse lishes
leihss leihss leishs leissh leissh leishs lehiss lehiss lehsis lehssi lehssi
lehsis leshis leshsi lesihs lesish lessih lesshi leshsi leshis lesshi lessih
lesish lesihs lsiehs lsiesh lsihes lsihse lsishe lsiseh lseihs lseish lsehis
lsehsi lseshi lsesih lsheis lshesi lshies lshise lshsie lshsei lssehi lsseih
lsshei lsshie lssihe lssieh lsiesh lsiehs lsiseh lsishe lsihse lsihes lseish
lseihs lsesih lseshi lsehsi lsehis lsseih lssehi lssieh lssihe lsshie lsshei
lshesi lsheis lshsei lshsie lshise lshies shiels shiesl shiles shilse shisle
shisel sheils sheisl shelis shelsi shesli shesil shleis shlesi shlies shlise
shlsie shlsei shseli shseil shslei shslie shsile shsiel sihels sihesl sihles
sihlse sihsle sihsel siehls siehsl sielhs sielsh sieslh sieshl silehs silesh
silhes silhse silshe silseh siselh sisehl sisleh sislhe sishle sishel seihls
seihsl seilhs seilsh seislh seishl sehils sehisl sehlis sehlsi sehsli sehsil
selhis selhsi selihs selish selsih selshi seshli seshil seslhi seslih sesilh
sesihl sliehs sliesh slihes slihse slishe sliseh sleihs sleish slehis slehsi
sleshi slesih slheis slhesi slhies slhise slhsie slhsei slsehi slseih slshei
slshie slsihe slsieh ssielh ssiehl ssileh ssilhe ssihle ssihel sseilh sseihl
sselih sselhi ssehli ssehil ssleih sslehi sslieh sslihe sslhie sslhei ssheli
ssheil sshlei sshlie sshile sshiel

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

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