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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: sigsys
cipher variations:
tjhtzt ukiuau vljvbv wmkwcw xnlxdx
yomyey zpnzfz aqoaga brpbhb csqcic
dtrdjd euseke fvtflf gwugmg hxvhnh
iywioi jzxjpj kaykqk lbzlrl mcamsm
ndbntn oecouo pfdpvp qgeqwq rhfrxr

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: sigsys
Cipher: hrthbh

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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: sigsys
Cipher: BAAAB ABAAA AABBA BAAAB BABBA 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: sigsys
cipher variations:
tjhtztdztdvdnpfnrnxfrxnxhvdhjhrlprfrlrnlxlvhzvtv
fxlfpfpnxplpzdjzhzjtvjdjukiuaueaueweoqgosoygsyoy
iweikismqsgsmsomymwiawuwgymgqgqoyqmqaekaiakuwkek
vljvbvfbvfxfprhptpzhtzpzjxfjljtnrthtntpnznxjbxvx
hznhrhrpzrnrbflbjblvxlflwmkwcwgcwgygqsiquqaiuaqa
kygkmkuosuiuouqoaoykcywyiaoisisqasoscgmckcmwymgm
xnlxdxhdxhzhrtjrvrbjvbrblzhlnlvptvjvpvrpbpzldzxz
jbpjtjtrbtptdhndldnxznhnyomyeyieyiaisukswsckwcsc
maimomwquwkwqwsqcqameayakcqkukuscuqueioemeoyaoio
zpnzfzjfzjbjtvltxtdlxdtdnbjnpnxrvxlxrxtrdrbnfbzb
ldrlvlvtdvrvfjpfnfpzbpjpaqoagakgakckuwmuyuemyeue
ockoqoyswymysyusescogcacmesmwmwuewswgkqgogqacqkq
brpbhblhbldlvxnvzvfnzfvfpdlprpztxznztzvtftdphdbd
nftnxnxvfxtxhlrhphrbdrlrcsqcicmicmemwyowawgoagwg
qemqsqauyaoauawugueqieceoguoyoywgyuyimsiqiscesms
dtrdjdnjdnfnxzpxbxhpbhxhrfnrtrbvzbpbvbxvhvfrjfdf
phvpzpzxhzvzjntjrjtdftnteusekeokeogoyaqycyiqciyi
sgosuscwacqcwcywiwgskgegqiwqaqayiawakoukskueguou
fvtflfplfphpzbrzdzjrdjzjthptvtdxbdrdxdzxjxhtlhfh
rjxrbrbzjbxblpvltlvfhvpvgwugmgqmgqiqacsaeaksekak
uiquwueyceseyeaykyiumigiskyscscakcycmqwmumwgiwqw
hxvhnhrnhrjrbdtbfbltflblvjrvxvfzdftfzfbzlzjvnjhj
tlztdtdbldzdnrxnvnxhjxrxiywioisoisksceucgcmugmcm
wkswywgaegugagcamakwokikumaueuecmeaeosyowoyikysy
jzxjpjtpjtltdfvdhdnvhndnxltxzxhbfhvhbhdbnblxpljl
vnbvfvfdnfbfptzpxpzjlztzkaykqkuqkumuegweieowioeo
ymuyayicgiwiciecocmyqmkmwocwgwgeogcgquaqyqakmaua
lbzlrlvrlvnvfhxfjfpxjpfpznvzbzjdhjxjdjfdpdnzrnln
xpdxhxhfphdhrvbrzrblnbvbmcamsmwsmwowgiygkgqykqgq
aowacakeikykekgeqeoasomoyqeyiyigqieiswcsascmocwc
ndbntnxtnxpxhjzhlhrzlrhrbpxbdblfjlzlflhfrfpbtpnp
zrfzjzjhrjfjtxdtbtdnpdxdoecouoyuoyqyikaimisamsis
cqycecmgkmamgmigsgqcuqoqasgakakiskgkuyeucueoqeye
pfdpvpzvpzrzjlbjnjtbntjtdrzdfdnhlnbnhnjhthrdvrpr
bthblbljtlhlvzfvdvfprfzfqgeqwqawqasakmckokucouku
esaegeoimocoiokiuisewsqscuicmcmkumimwagwewgqsgag
rhfrxrbxrbtblndlplvdpvlvftbfhfpjnpdpjpljvjtfxtrt
dvjdndnlvnjnxbhxfxhrthbhsigsyscyscucmoemqmweqwmw
gucgigqkoqeqkqmkwkugyusuewkeoeomwokoyciygyisuici

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: sigsys
Cipher: fvtflf

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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: sigsys
Cipher: 344222344534

Extended Methods:
Method #1

Plaintext: sigsys
method variations:
xomxdxctrcichywhohndbntn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s i g s y s 
3 4 2 3 4 3 
4 2 2 4 5 4 
They are then read out in rows:
342343422454
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: sigsys
Cipher: smoiru

Read more ...
Method #3

Plaintext: sigsys
method variations:
tgmtpo gmtpot mtpotg
tpotgm potgmt otgmtp

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: sigsys

all 720 cipher variations:
sigsys sigssy sigyss sigyss sigsys sigssy sisgys sisgsy sisygs sisysg sissyg
sissgy siysgs siyssg siygss siygss siysgs siyssg sissyg sissgy sisysg sisygs
sisgys sisgsy sgisys sgissy sgiyss sgiyss sgisys sgissy sgsiys sgsisy sgsyis
sgsysi sgssyi sgssiy sgysis sgyssi sgyiss sgyiss sgysis sgyssi sgssyi sgssiy
sgsysi sgsyis sgsiys sgsisy ssgiys ssgisy ssgyis ssgysi ssgsyi ssgsiy ssigys
ssigsy ssiygs ssiysg ssisyg ssisgy ssyigs ssyisg ssygis ssygsi ssysgi ssysig
sssiyg sssigy sssyig sssygi sssgyi sssgiy sygsis sygssi sygiss sygiss sygsis
sygssi sysgis sysgsi sysigs sysisg syssig syssgi syisgs syissg syigss syigss
syisgs syissg syssig syssgi sysisg sysigs sysgis sysgsi ssgsyi ssgsiy ssgysi
ssgyis ssgiys ssgisy sssgyi sssgiy sssygi sssyig sssiyg sssigy ssysgi ssysig
ssygsi ssygis ssyigs ssyisg ssisyg ssisgy ssiysg ssiygs ssigys ssigsy isgsys
isgssy isgyss isgyss isgsys isgssy issgys issgsy issygs issysg isssyg isssgy
isysgs isyssg isygss isygss isysgs isyssg isssyg isssgy issysg issygs issgys
issgsy igssys igsssy igsyss igsyss igssys igsssy igssys igsssy igsyss igsyss
igssys igsssy igysss igysss igysss igysss igysss igysss igssys igsssy igsyss
igsyss igssys igsssy isgsys isgssy isgyss isgyss isgsys isgssy issgys issgsy
issygs issysg isssyg isssgy isysgs isyssg isygss isygss isysgs isyssg isssyg
isssgy issysg issygs issgys issgsy iygsss iygsss iygsss iygsss iygsss iygsss
iysgss iysgss iyssgs iysssg iysssg iyssgs iyssgs iysssg iysgss iysgss iyssgs
iysssg iysssg iyssgs iysssg iyssgs iysgss iysgss isgsys isgssy isgyss isgyss
isgsys isgssy issgys issgsy issygs issysg isssyg isssgy isysgs isyssg isygss
isygss isysgs isyssg isssyg isssgy issysg issygs issgys issgsy gissys gisssy
gisyss gisyss gissys gisssy gissys gisssy gisyss gisyss gissys gisssy giysss
giysss giysss giysss giysss giysss gissys gisssy gisyss gisyss gissys gisssy
gsisys gsissy gsiyss gsiyss gsisys gsissy gssiys gssisy gssyis gssysi gsssyi
gsssiy gsysis gsyssi gsyiss gsyiss gsysis gsyssi gsssyi gsssiy gssysi gssyis
gssiys gssisy gssiys gssisy gssyis gssysi gsssyi gsssiy gsisys gsissy gsiyss
gsiyss gsisys gsissy gsyiss gsyiss gsysis gsyssi gsyssi gsysis gssiys gssisy
gssyis gssysi gsssyi gsssiy gyssis gysssi gysiss gysiss gyssis gysssi gyssis
gysssi gysiss gysiss gyssis gysssi gyisss gyisss gyisss gyisss gyisss gyisss
gyssis gysssi gysiss gysiss gyssis gysssi gsssyi gsssiy gssysi gssyis gssiys
gssisy gsssyi gsssiy gssysi gssyis gssiys gssisy gsyssi gsysis gsyssi gsysis
gsyiss gsyiss gsisys gsissy gsiyss gsiyss gsisys gsissy sigsys sigssy sigyss
sigyss sigsys sigssy sisgys sisgsy sisygs sisysg sissyg sissgy siysgs siyssg
siygss siygss siysgs siyssg sissyg sissgy sisysg sisygs sisgys sisgsy sgisys
sgissy sgiyss sgiyss sgisys sgissy sgsiys sgsisy sgsyis sgsysi sgssyi sgssiy
sgysis sgyssi sgyiss sgyiss sgysis sgyssi sgssyi sgssiy sgsysi sgsyis sgsiys
sgsisy ssgiys ssgisy ssgyis ssgysi ssgsyi ssgsiy ssigys ssigsy ssiygs ssiysg
ssisyg ssisgy ssyigs ssyisg ssygis ssygsi ssysgi ssysig sssiyg sssigy sssyig
sssygi sssgyi sssgiy sygsis sygssi sygiss sygiss sygsis sygssi sysgis sysgsi
sysigs sysisg syssig syssgi syisgs syissg syigss syigss syisgs syissg syssig
syssgi sysisg sysigs sysgis sysgsi ssgsyi ssgsiy ssgysi ssgyis ssgiys ssgisy
sssgyi sssgiy sssygi sssyig sssiyg sssigy ssysgi ssysig ssygsi ssygis ssyigs
ssyisg ssisyg ssisgy ssiysg ssiygs ssigys ssigsy yigsss yigsss yigsss yigsss
yigsss yigsss yisgss yisgss yissgs yisssg yisssg yissgs yissgs yisssg yisgss
yisgss yissgs yisssg yisssg yissgs yisssg yissgs yisgss yisgss ygisss ygisss
ygisss ygisss ygisss ygisss ygsiss ygsiss ygssis ygsssi ygsssi ygssis ygssis
ygsssi ygsiss ygsiss ygssis ygsssi ygsssi ygssis ygsssi ygssis ygsiss ygsiss
ysgiss ysgiss ysgsis ysgssi ysgssi ysgsis ysigss ysigss ysisgs ysissg ysissg
ysisgs yssigs yssisg yssgis yssgsi ysssgi ysssig yssisg yssigs ysssig ysssgi
yssgsi yssgis ysgsis ysgssi ysgiss ysgiss ysgsis ysgssi yssgis yssgsi yssigs
yssisg ysssig ysssgi ysisgs ysissg ysigss ysigss ysisgs ysissg ysssig ysssgi
yssisg yssigs yssgis yssgsi ysgssi ysgsis ysgssi ysgsis ysgiss ysgiss yssgsi
yssgis ysssgi ysssig yssisg yssigs ysssgi ysssig yssgsi yssgis yssigs yssisg
ysissg ysisgs ysissg ysisgs ysigss ysigss sigsys sigssy sigyss sigyss sigsys
sigssy sisgys sisgsy sisygs sisysg sissyg sissgy siysgs siyssg siygss siygss
siysgs siyssg sissyg sissgy sisysg sisygs sisgys sisgsy sgisys sgissy sgiyss
sgiyss sgisys sgissy sgsiys sgsisy sgsyis sgsysi sgssyi sgssiy sgysis sgyssi
sgyiss sgyiss sgysis sgyssi sgssyi sgssiy sgsysi sgsyis sgsiys sgsisy ssgiys
ssgisy ssgyis ssgysi ssgsyi ssgsiy ssigys ssigsy ssiygs ssiysg ssisyg ssisgy
ssyigs ssyisg ssygis ssygsi ssysgi ssysig sssiyg sssigy sssyig sssygi sssgyi
sssgiy sygsis sygssi sygiss sygiss sygsis sygssi sysgis sysgsi sysigs sysisg
syssig syssgi syisgs syissg syigss syigss syisgs syissg syssig syssgi sysisg
sysigs sysgis sysgsi ssgsyi ssgsiy ssgysi ssgyis ssgiys ssgisy sssgyi sssgiy
sssygi sssyig sssiyg sssigy ssysgi ssysig ssygsi ssygis ssyigs ssyisg ssisyg
ssisgy ssiysg ssiygs ssigys ssigsy

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