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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: beaded
cipher variations:
cfbefe dgcfgf ehdghg fiehih gjfiji
hkgjkj ilhklk jmilml knjmnm loknon
mplopo nqmpqp ornqrq psorsr qtpsts
ruqtut svruvu twsvwv uxtwxw vyuxyx
wzvyzy xawzaz ybxaba zcybcb adzcdc

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: beaded
Cipher: yvzwvw

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: beaded
Cipher: AAAAB AABAA AAAAA AAABB AABAA AAABB

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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: beaded
cipher variations:
cfbefeenbknkgvbqvqidbwdwklbclcmtbitiqjbujusrbara
uzbgzgwhbmhmypbspsaxbyxydgcfgffoclolhwcrwrjecxex
lmcdmdnucjujrkcvkvtscbsbvachahxicninzqctqtbyczyz
ehdghggpdmpmixdsxskfdyfymndeneovdkvksldwlwutdctc
wbdibiyjdojoarduruczdazafiehihhqenqnjyetytlgezgz
noefofpwelwltmexmxvuedudxcejcjzkepkpbsevsvdaebab
gjfijiirforokzfuzumhfahaopfgpgqxfmxmunfynywvfeve
ydfkdkalfqlqctfwtwebfcbchkgjkjjsgpsplagvavnigbib
pqghqhrygnynvogzozxwgfwfzeglelbmgrmrdugxuxfcgdcd
ilhklkkthqtqmbhwbwojhcjcqrhiriszhozowphapayxhgxg
afhmfmcnhsnsevhyvygdhedejmilmlluirurncixcxpkidkd
rsijsjtaipapxqibqbzyihyhbgingndoitotfwizwzheifef
knjmnmmvjsvsodjydyqljelestjktkubjqbqyrjcrcazjizi
chjohoepjupugxjaxaifjgfgloknonnwktwtpekzezrmkfmf
tuklulvckrcrzskdsdbakjajdikpipfqkvqvhykbybjgkhgh
mplopooxluxuqflafasnlgnguvlmvmwdlsdsatletecblkbk
ejlqjqgrlwrwizlczckhlihinqmpqppymvyvrgmbgbtomhoh
vwmnwnxemtetbumfufdcmlclfkmrkrhsmxsxjamdadlimjij
ornqrqqznwzwshnchcupnipiwxnoxoyfnufucvngvgednmdm
glnslsitnytykbnebemjnkjkpsorsrraoxaxtiodidvqojqj
xyopypzgovgvdwohwhfeonenhmotmtjuozuzlcofcfnkolkl
qtpstssbpybyujpejewrpkrkyzpqzqahpwhwexpixigfpofo
inpunukvpavamdpgdgolpmlmruqtuttcqzczvkqfkfxsqlsl
zaqrarbiqxixfyqjyjhgqpgpjoqvovlwqbwbneqhehpmqnmn
svruvuudradawlrglgytrmtmabrsbscjryjygzrkzkihrqhq
kprwpwmxrcxcofrifiqnronotwsvwvvesbebxmshmhzusnun
bcstctdkszkzhaslaljisrirlqsxqxnysdydpgsjgjrospop
uxtwxwwftcfcyntiniavtovocdtudueltalaibtmbmkjtsjs
mrtyryoztezeqhtkhksptqpqvyuxyxxgudgdzoujojbwupwp
deuvevfmubmbjcuncnlkutktnsuzszpaufafriuliltqurqr
wzvyzyyhveheapvkpkcxvqxqefvwfwgnvcnckdvodomlvulu
otvataqbvgbgsjvmjmurvsrsxawzazziwfifbqwlqldywryr
fgwxgxhowdodlewpepnmwvmvpuwbubrcwhchtkwnknvswtst
ybxabaajxgjgcrxmrmezxszsghxyhyipxepemfxqfqonxwnw
qvxcvcsdxidiulxolowtxutuzcybcbbkyhkhdsynsnfaytat
hiyzizjqyfqfngyrgrpoyxoxrwydwdteyjejvmypmpxuyvuv
adzcdcclzilietzotogbzubuijzajakrzgrgohzshsqpzypy
sxzexeufzkfkwnzqnqyvzwvwbeadeddmajmjfuapuphcavcv
jkabkblsahshpiatitrqazqztyafyfvgalglxoarorzwaxwx

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: beaded
Cipher: ornqrq

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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: beaded
Cipher: 215111415141

Extended Methods:
Method #1

Plaintext: beaded
method variations:
gkfikimploporuqtutwzvyzy

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b e a d e d 
2 5 1 4 5 4 
1 1 1 1 1 1 
They are then read out in rows:
251454111111
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: beaded
Cipher: wquaaa

Read more ...
Method #3

Plaintext: beaded
method variations:
vaqvqf aqvqfv qvqfva
vqfvaq qfvaqv fvaqvq

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: beaded

all 720 cipher variations:
beaded beadde beaedd beaedd beaded beadde bedaed bedade bedead bededa beddea
beddae beedad beedda beeadd beeadd beedad beedda beddea beddae bededa bedead
bedaed bedade baeded baedde baeedd baeedd baeded baedde badeed badede badeed
badede baddee baddee baeded baedde baeedd baeedd baeded baedde baddee baddee
badede badeed badeed badede bdaeed bdaede bdaeed bdaede bdadee bdadee bdeaed
bdeade bdeead bdeeda bdedea bdedae bdeead bdeeda bdeaed bdeade bdedae bdedea
bddeea bddeae bddeea bddeae bddaee bddaee beaded beadde beaedd beaedd beaded
beadde bedaed bedade bedead bededa beddea beddae beedad beedda beeadd beeadd
beedad beedda beddea beddae bededa bedead bedaed bedade bdadee bdadee bdaede
bdaeed bdaeed bdaede bddaee bddaee bddeae bddeea bddeea bddeae bdedae bdedea
bdeade bdeaed bdeead bdeeda bdedea bdedae bdeeda bdeead bdeaed bdeade ebaded
ebadde ebaedd ebaedd ebaded ebadde ebdaed ebdade ebdead ebdeda ebddea ebddae
ebedad ebedda ebeadd ebeadd ebedad ebedda ebddea ebddae ebdeda ebdead ebdaed
ebdade eabded eabdde eabedd eabedd eabded eabdde eadbed eadbde eadebd eadedb
eaddeb eaddbe eaedbd eaeddb eaebdd eaebdd eaedbd eaeddb eaddeb eaddbe eadedb
eadebd eadbed eadbde edabed edabde edaebd edaedb edadeb edadbe edbaed edbade
edbead edbeda edbdea edbdae edebad edebda edeabd edeadb ededab ededba eddbea
eddbae eddeba eddeab eddaeb eddabe eeadbd eeaddb eeabdd eeabdd eeadbd eeaddb
eedabd eedadb eedbad eedbda eeddba eeddab eebdad eebdda eebadd eebadd eebdad
eebdda eeddba eeddab eedbda eedbad eedabd eedadb edadeb edadbe edaedb edaebd
edabed edabde eddaeb eddabe eddeab eddeba eddbea eddbae ededab ededba edeadb
edeabd edebad edebda edbdea edbdae edbeda edbead edbaed edbade aebded aebdde
aebedd aebedd aebded aebdde aedbed aedbde aedebd aededb aeddeb aeddbe aeedbd
aeeddb aeebdd aeebdd aeedbd aeeddb aeddeb aeddbe aededb aedebd aedbed aedbde
abeded abedde abeedd abeedd abeded abedde abdeed abdede abdeed abdede abddee
abddee abeded abedde abeedd abeedd abeded abedde abddee abddee abdede abdeed
abdeed abdede adbeed adbede adbeed adbede adbdee adbdee adebed adebde adeebd
adeedb adedeb adedbe adeebd adeedb adebed adebde adedbe adedeb addeeb addebe
addeeb addebe addbee addbee aebded aebdde aebedd aebedd aebded aebdde aedbed
aedbde aedebd aededb aeddeb aeddbe aeedbd aeeddb aeebdd aeebdd aeedbd aeeddb
aeddeb aeddbe aededb aedebd aedbed aedbde adbdee adbdee adbede adbeed adbeed
adbede addbee addbee addebe addeeb addeeb addebe adedbe adedeb adebde adebed
adeebd adeedb adedeb adedbe adeedb adeebd adebed adebde deabed deabde deaebd
deaedb deadeb deadbe debaed debade debead debeda debdea debdae deebad deebda
deeabd deeadb deedab deedba dedbea dedbae dedeba dedeab dedaeb dedabe daebed
daebde daeebd daeedb daedeb daedbe dabeed dabede dabeed dabede dabdee dabdee
daebed daebde daeebd daeedb daedeb daedbe dadbee dadbee dadebe dadeeb dadeeb
dadebe dbaeed dbaede dbaeed dbaede dbadee dbadee dbeaed dbeade dbeead dbeeda
dbedea dbedae dbeead dbeeda dbeaed dbeade dbedae dbedea dbdeea dbdeae dbdeea
dbdeae dbdaee dbdaee deabed deabde deaebd deaedb deadeb deadbe debaed debade
debead debeda debdea debdae deebad deebda deeabd deeadb deedab deedba dedbea
dedbae dedeba dedeab dedaeb dedabe ddabee ddabee ddaebe ddaeeb ddaeeb ddaebe
ddbaee ddbaee ddbeae ddbeea ddbeea ddbeae ddebae ddebea ddeabe ddeaeb ddeeab
ddeeba ddebea ddebae ddeeba ddeeab ddeaeb ddeabe eeadbd eeaddb eeabdd eeabdd
eeadbd eeaddb eedabd eedadb eedbad eedbda eeddba eeddab eebdad eebdda eebadd
eebadd eebdad eebdda eeddba eeddab eedbda eedbad eedabd eedadb eaedbd eaeddb
eaebdd eaebdd eaedbd eaeddb eadebd eadedb eadbed eadbde eaddbe eaddeb eabded
eabdde eabedd eabedd eabded eabdde eaddbe eaddeb eadbde eadbed eadebd eadedb
edaebd edaedb edabed edabde edadbe edadeb edeabd edeadb edebad edebda ededba
ededab edbead edbeda edbaed edbade edbdae edbdea eddeba eddeab eddbea eddbae
eddabe eddaeb ebaded ebadde ebaedd ebaedd ebaded ebadde ebdaed ebdade ebdead
ebdeda ebddea ebddae ebedad ebedda ebeadd ebeadd ebedad ebedda ebddea ebddae
ebdeda ebdead ebdaed ebdade edadbe edadeb edabde edabed edaebd edaedb eddabe
eddaeb eddbae eddbea eddeba eddeab edbdae edbdea edbade edbaed edbead edbeda
ededba ededab edebda edebad edeabd edeadb deadeb deadbe deaedb deaebd deabed
deabde dedaeb dedabe dedeab dedeba dedbea dedbae deedab deedba deeadb deeabd
deebad deebda debdea debdae debeda debead debaed debade daedeb daedbe daeedb
daeebd daebed daebde dadeeb dadebe dadeeb dadebe dadbee dadbee daedeb daedbe
daeedb daeebd daebed daebde dabdee dabdee dabede dabeed dabeed dabede ddaeeb
ddaebe ddaeeb ddaebe ddabee ddabee ddeaeb ddeabe ddeeab ddeeba ddebea ddebae
ddeeab ddeeba ddeaeb ddeabe ddebae ddebea ddbeea ddbeae ddbeea ddbeae ddbaee
ddbaee deadeb deadbe deaedb deaebd deabed deabde dedaeb dedabe dedeab dedeba
dedbea dedbae deedab deedba deeadb deeabd deebad deebda debdea debdae debeda
debead debaed debade dbadee dbadee dbaede dbaeed dbaeed dbaede dbdaee dbdaee
dbdeae dbdeea dbdeea dbdeae dbedae dbedea dbeade dbeaed dbeead dbeeda dbedea
dbedae dbeeda dbeead dbeaed dbeade

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

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