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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: offeruntque
cipher variations:
pggfsvourvf qhhgtwpvswg riihuxqwtxh sjjivyrxuyi tkkjwzsyvzj
ullkxatzwak vmmlybuaxbl wnnmzcvbycm xoonadwczdn yppobexdaeo
zqqpcfyebfp arrqdgzfcgq bssrehagdhr cttsfibheis duutgjcifjt
evvuhkdjgku fwwvilekhlv gxxwjmflimw hyyxkngmjnx izzylohnkoy
jaazmpiolpz kbbanqjpmqa lccborkqnrb mddcpslrosc needqtmsptd

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: offeruntque
Cipher: luuvifmgjfv

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: offeruntque
Cipher: ABBAB AABAB AABAB AABAA BAAAA BAABB ABBAA BAABA ABBBB BAABB AABAA

Read more ...

 

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: offeruntque
cipher variations:
pggfsvourvfrqqnajogxjntaavixosdxvvkkdqloejldxuulyzoqpzlzeetgnocvntdyyjwpoahpjfiiredomndr
hsszmroytrzjcchufokzfhlmmpctowftpnwwxkhoilhxqhhgtwpvswgsrrobkphykoubbwjypteywwllermpfkme
yvvmzaprqamaffuhopdwouezzkxqpbiqkgjjsfepnoesittanspzusakddivgplagimnnqdupxguqoxxylipjmiy
riihuxqwtxhtsspclqizlpvccxkzqufzxxmmfsnqglnfzwwnabqsrbnbggvipqexpvfaalyrqcjrlhkktgfqopft
juubotqavtbleejwhqmbhjnoorevqyhvrpyyzmjqknjzsjjivyrxuyiuttqdmrjamqwddylarvgayynngtorhmog
axxobcrtscochhwjqrfyqwgbbmzsrdksmilluhgrpqgukvvcpurbwucmffkxirncikoppsfwrziwsqzzankrloka
tkkjwzsyvzjvuurenskbnrxeezmbswhbzzoohupsinphbyypcdsutdpdiixkrsgzrxhccnatseltnjmmvihsqrhv
lwwdqvscxvdngglyjsodjlpqqtgxsajxtraabolsmplbullkxatzwakwvvsfotlcosyffanctxicaappivqtjoqi
czzqdetvueqejjylsthasyiddobutfmuoknnwjitrsiwmxxerwtdyweohhmzktpekmqrruhytbkyusbbcpmtnqmc
vmmlybuaxblxwwtgpumdptzggboduyjdbbqqjwrukprjdaarefuwvfrfkkzmtuibtzjeepcvugnvplooxkjustjx
nyyfsxuezxfpiinaluqflnrssvizuclzvtccdqnuorndwnnmzcvbycmyxxuhqvnequahhcpevzkeccrrkxsvlqsk
ebbsfgvxwgsgllanuvjcuakffqdwvhowqmppylkvtukyozzgtyvfaygqjjobmvrgmosttwjavdmawudderovpsoe
xoonadwczdnzyyvirwofrvbiidqfwalfddsslytwmrtlfcctghwyxhthmmbovwkdvblggrexwipxrnqqzmlwuvlz
paahuzwgbzhrkkpcnwshnptuuxkbwenbxveefspwqtpfyppobexdaeoazzwjsxpgswcjjergxbmgeettmzuxnsum
gdduhixzyiuinncpwxlewcmhhsfyxjqysorranmxvwmaqbbivaxhcaisllqdoxtioquvvylcxfocywffgtqxruqg
zqqpcfyebfpbaaxktyqhtxdkkfshycnhffuunavyotvnheevijyazjvjoodqxymfxdniitgzykrztpssbonywxnb
rccjwbyidbjtmmrepyujprvwwzmdygpdzxgghurysvrharrqdgzfcgqcbbyluzriuyellgtizdoiggvvobwzpuwo
iffwjkzbakwkpperyzngyeojjuhazlsauqttcpozxyocsddkxczjeckunnsfqzvkqswxxanezhqeayhhivsztwsi
bssrehagdhrdcczmvasjvzfmmhujaepjhhwwpcxaqvxpjggxklacblxlqqfszaohzfpkkvibamtbvruudqpayzpd
teelydakfdlvootgrawlrtxyybofairfbziijwtauxtjcttsfibheiseddanwbtkwagnnivkbfqkiixxqdybrwyq
khhylmbdcmymrrgtabpiagqllwjcbnucwsvverqbzaqeuffmzeblgemwppuhsbxmsuyzzcpgbjsgcajjkxubvyuk
duutgjcifjtfeeboxculxbhoojwlcgrljjyyrezcsxzrliizmncednznsshubcqjbhrmmxkdcovdxtwwfsrcabrf
vggnafcmhfnxqqvitcyntvzaadqhckthdbkklyvcwzvlevvuhkdjgkugffcpydvmycippkxmdhsmkkzzsfadtyas
mjjanodfeoaottivcdrkcisnnyledpweyuxxgtsdbcsgwhhobgdnigoyrrwjudzouwabberidluiecllmzwdxawm
fwwvilekhlvhggdqzewnzdjqqlyneitnllaatgbeuzbtnkkbopegfpbpuujwdesldjtoozmfeqxfzvyyhutecdth
xiipcheojhpzssxkveapvxbccfsjemvjfdmmnaxeybxngxxwjmflimwihherafxoaekrrmzofjuommbbuhcfvacu
ollcpqfhgqcqvvkxeftmekuppangfrygawzzivufdeuiyjjqdifpkiqattylwfbqwycddgtkfnwkgennobyfzcyo
hyyxkngmjnxjiifsbgypbflssnapgkvpnnccvidgwbdvpmmdqrgihrdrwwlyfgunflvqqbohgszhbxaajwvgefvj
zkkrejgqljrbuuzmxgcrxzdeehulgoxlhfoopczgadzpizzylohnkoykjjgtchzqcgmttobqhlwqooddwjehxcew
qnnershjisesxxmzghvogmwrrcpihtaicybbkxwhfgwkallsfkhrmkscvvanyhdsyaeffivmhpymigppqdahbeaq
jaazmpiolpzlkkhudiardhnuupcrimxrppeexkfiydfxroofstikjtftyynahiwphnxssdqjiubjdzcclyxighxl
bmmtglisnltdwwbozietzbfggjwniqznjhqqrebicfbrkbbanqjpmqamllivejbseiovvqdsjnysqqffylgjzegy
sppgtujlkuguzzobijxqioytterkjvckeaddmzyjhiymcnnuhmjtomuexxcpajfuacghhkxojraokirrsfcjdgcs
lccborkqnrbnmmjwfkctfjpwwretkoztrrggzmhkafhztqqhuvkmlvhvaapcjkyrjpzuufslkwdlfbeenazkijzn
doovinkupnvfyydqbkgvbdhiilypksbpljsstgdkehdtmddcpslrosconnkxgldugkqxxsfulpausshhanilbgia
urrivwlnmwiwbbqdklzskqavvgtmlxemgcffobaljkaoeppwjolvqowgzzerclhwceijjmzqltcqmkttuhelfieu
needqtmsptdpoolyhmevhlryytgvmqbvttiibojmchjbvssjwxmonxjxccrelmatlrbwwhunmyfnhdggpcbmklbp
fqqxkpmwrpxhaafsdmixdfjkknarmudrnluuvifmgjfvofferuntqueqppmzinfwimszzuhwnrcwuujjcpkndikc
wttkxynpoykyddsfmnbumscxxivonzgoiehhqdcnlmcqgrrylqnxsqyibbgtenjyegkllobsnvesomvvwjgnhkgw

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: offeruntque
Cipher: bssrehagdhr

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: offeruntque
Cipher: 4312125124543344145451

Extended Methods:
Method #1

Plaintext: offeruntque
method variations:
tllkwzsyvzkyqqpbexdaepdvvugkcifkuiaazmpholpz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
o f f e r u n t q u e 
4 1 1 5 2 5 3 4 1 5 5 
3 2 2 1 4 4 3 4 4 4 1 
They are then read out in rows:
4115253415532214434441
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: offeruntque
Cipher: dvwsvpgqotd

Read more ...
Method #3

Plaintext: offeruntque
method variations:
cbwfyosdyyq bwfyosdyyqc wfyosdyyqcb
fyosdyyqcbw yosdyyqcbwf osdyyqcbwfy
sdyyqcbwfyo dyyqcbwfyos yyqcbwfyosd
yqcbwfyosdy qcbwfyosdyy

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: offeruntque

first 5040 cipher variations(39615626 total)
offeruntque offeruntqeu offeruntuqe offeruntueq offerunteuq offeruntequ offerunqtue offerunqteu offerunqute offerunquet
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offeetuurnq offeetuurqn offeeturqun offeeturqnu offeeturuqn offeeturunq offeeturnuq offeeturnqu offeetqunur offeetqunru
offeetquunr offeetquurn offeetqurun offeetqurnu offeetqnuur offeetqnuru offeetqnuur offeetqnuru offeetqnruu offeetqnruu
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offeetqruun offeetqrunu offeetuuqnr offeetuuqrn offeetuunqr offeetuunrq offeetuurnq offeetuurqn offeetuqunr offeetuqurn
offeetuqnur offeetuqnru offeetuqrnu offeetuqrun offeetunqur offeetunqru offeetunuqr offeetunurq offeetunruq offeetunrqu
offeeturqnu offeeturqun offeeturnqu offeeturnuq offeeturunq offeeturuqn offeetruqun offeetruqnu offeetruuqn offeetruunq
offeetrunuq offeetrunqu offeetrquun offeetrqunu offeetrquun offeetrqunu offeetrqnuu offeetrqnuu offeetruqun offeetruqnu
offeetruuqn offeetruunq offeetrunuq offeetrunqu offeetrnquu offeetrnquu offeetrnuqu offeetrnuuq offeetrnuuq offeetrnuqu
offeeqntuur offeeqnturu offeeqntuur offeeqnturu offeeqntruu offeeqntruu offeeqnutur offeeqnutru offeeqnuutr offeeqnuurt
offeeqnurut offeeqnurtu offeeqnuutr offeeqnuurt offeeqnutur offeeqnutru offeeqnurtu offeeqnurut offeeqnruut offeeqnrutu
offeeqnruut offeeqnrutu offeeqnrtuu offeeqnrtuu offeeqtnuur offeeqtnuru offeeqtnuur offeeqtnuru offeeqtnruu offeeqtnruu
offeeqtunur offeeqtunru offeeqtuunr offeeqtuurn offeeqturun offeeqturnu offeeqtuunr offeeqtuurn offeeqtunur offeeqtunru
offeeqturnu offeeqturun offeeqtruun offeeqtrunu offeeqtruun offeeqtrunu offeeqtrnuu offeeqtrnuu offeequtnur offeequtnru
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offeequrunt offeequrutn offeequrnut offeequrntu offeequrtnu offeequrtun offeeqrtuun offeeqrtunu offeeqrtuun offeeqrtunu
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offeeqrutun offeeqrutnu offeeqruntu offeeqrunut offeeqrnuut offeeqrnutu offeeqrnuut offeeqrnutu offeeqrntuu offeeqrntuu
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offeeuuqntr offeeuuqnrt offeeuuqrnt offeeuuqrtn offeeuunqtr offeeuunqrt offeeuuntqr offeeuuntrq offeeuunrtq offeeuunrqt
offeeuurqnt offeeuurqtn offeeuurnqt offeeuurntq offeeuurtnq offeeuurtqn offeeurtqun offeeurtqnu offeeurtuqn offeeurtunq
offeeurtnuq offeeurtnqu offeeurqtun offeeurqtnu offeeurqutn offeeurqunt offeeurqnut offeeurqntu offeeuruqtn offeeuruqnt
offeeurutqn offeeurutnq offeeuruntq offeeurunqt offeeurnqut offeeurnqtu offeeurnuqt offeeurnutq offeeurntuq offeeurntqu
offeerntquu offeerntquu offeerntuqu offeerntuuq offeerntuuq offeerntuqu offeernqtuu offeernqtuu offeernqutu offeernquut
offeernquut offeernqutu offeernuqtu offeernuqut offeernutqu offeernutuq offeernuutq offeernuuqt offeernuqut offeernuqtu
offeernuuqt offeernuutq offeernutuq offeernutqu offeertnquu offeertnquu offeertnuqu offeertnuuq offeertnuuq offeertnuqu
offeertqnuu offeertqnuu offeertqunu offeertquun offeertquun offeertqunu offeertuqnu offeertuqun offeertunqu offeertunuq
offeertuunq offeertuuqn offeertuqun offeertuqnu offeertuuqn offeertuunq offeertunuq offeertunqu offeerqtnuu offeerqtnuu
offeerqtunu offeerqtuun offeerqtuun offeerqtunu offeerqntuu offeerqntuu offeerqnutu offeerqnuut offeerqnuut offeerqnutu
offeerquntu offeerqunut offeerqutnu offeerqutun offeerquutn offeerquunt offeerqunut offeerquntu offeerquunt offeerquutn
offeerqutun offeerqutnu offeerutqnu offeerutqun offeerutnqu offeerutnuq offeerutunq offeerutuqn offeeruqtnu offeeruqtun
offeeruqntu offeeruqnut offeeruqunt offeeruqutn offeerunqtu offeerunqut offeeruntqu offeeruntuq offeerunutq offeerunuqt
offeeruuqnt offeeruuqtn offeeruunqt offeeruuntq offeeruutnq offeeruutqn offeerutqun offeerutqnu offeerutuqn offeerutunq
offeerutnuq offeerutnqu offeeruqtun offeeruqtnu offeeruqutn offeeruqunt offeeruqnut offeeruqntu offeeruuqtn offeeruuqnt
offeeruutqn offeeruutnq offeeruuntq offeeruunqt offeerunqut offeerunqtu offeerunuqt offeerunutq offeeruntuq offeeruntqu

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