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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: blatta
cipher variations:
cmbuub dncvvc eodwwd fpexxe gqfyyf
hrgzzg ishaah jtibbi kujccj lvkddk
mwleel nxmffm oynggn pzohho qapiip
rbqjjq scrkkr tdslls uetmmt vfunnu
wgvoov xhwppw yixqqx zjyrry akzssz

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: blatta
Cipher: yozggz

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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: blatta
Cipher: AAAAB ABABA AAAAA BAABA BAABA AAAAA

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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: blatta
cipher variations:
cmbuubeibggbgebssbiabeebkwbqqbmsbccbqkbaabsgbmmb
ucbyybwybkkbyubwwbaqbiibdncvvcfjchhchfcttcjbcffc
lxcrrcntcddcrlcbbcthcnncvdczzcxzcllczvcxxcbrcjjc
eodwwdgkdiidigduudkcdggdmydssdoudeedsmdccduidood
wedaadyadmmdawdyydcsdkkdfpexxehlejjejhevveldehhe
nzettepveffetneddevjeppexfebbezbennebxezzedtelle
gqfyyfimfkkfkifwwfmefiifoafuufqwfggfuofeefwkfqqf
ygfccfacfoofcyfaafeufmmfhrgzzgjngllgljgxxgnfgjjg
pbgvvgrxghhgvpgffgxlgrrgzhgddgbdgppgdzgbbgfvgnng
ishaahkohmmhmkhyyhoghkkhqchwwhsyhiihwqhgghymhssh
aiheehcehqqheahcchgwhoohjtibbilpinninlizziphilli
rdixxitzijjixrihhiznittibjiffidfirrifbiddihxippi
kujccjmqjoojomjaajqijmmjsejyyjuajkkjysjiijaojuuj
ckjggjegjssjgcjeejiyjqqjlvkddknrkppkpnkbbkrjknnk
tfkzzkvbkllkztkjjkbpkvvkdlkhhkfhkttkhdkffkjzkrrk
mwleeloslqqlqolcclsklooluglaalwclmmlaulkklcqlwwl
emliilgiluulielgglkalsslnxmffmptmrrmrpmddmtlmppm
vhmbbmxdmnnmbvmllmdrmxxmfnmjjmhjmvvmjfmhhmlbmttm
oynggnqunssnsqneenumnqqnwinccnyenooncwnmmnesnyyn
gonkkniknwwnkgniinmcnuunpzohhorvottotroffovnorro
xjoddozfoppodxonnoftozzohpollojloxxolhojjondovvo
qapiipswpuupuspggpwopsspykpeepagpqqpeypoopgupaap
iqpmmpkmpyypmipkkpoepwwprbqjjqtxqvvqvtqhhqxpqttq
zlqffqbhqrrqfzqppqhvqbbqjrqnnqlnqzzqnjqllqpfqxxq
scrkkruyrwwrwuriiryqruuramrggrcirssrgarqqriwrccr
ksroormoraarokrmmrqgryyrtdsllsvzsxxsxvsjjszrsvvs
bnshhsdjsttshbsrrsjxsddsltsppsnpsbbsplsnnsrhszzs
uetmmtwatyytywtkktastwwtcotiitektuutictsstkyteet
mutqqtoqtcctqmtootsitaatvfunnuxbuzzuzxullubtuxxu
dpujjufluvvujduttulzuffunvurrupruddurnupputjubbu
wgvoovycvaavayvmmvcuvyyveqvkkvgmvwwvkevuuvmavggv
owvssvqsveevsovqqvukvccvxhwppwzdwbbwbzwnnwdvwzzw
frwllwhnwxxwlfwvvwnbwhhwpxwttwrtwffwtpwrrwvlwddw
yixqqxaexccxcaxooxewxaaxgsxmmxioxyyxmgxwwxocxiix
qyxuuxsuxggxuqxssxwmxeexzjyrrybfyddydbyppyfxybby
htynnyjpyzzynhyxxypdyjjyrzyvvytvyhhyvryttyxnyffy
akzsszcgzeezeczqqzgyzccziuzoozkqzaazoizyyzqezkkz
sazwwzuwziizwszuuzyozggzblattadhaffafdarrahzadda
jvappalrabbapjazzarfallatbaxxavxajjaxtavvazpahha

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: blatta
Cipher: oynggn

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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: blatta
Cipher: 211311444411

Extended Methods:
Method #1

Plaintext: blatta
method variations:
gqfyyfmvlddlraqiiqwfvoov

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b l a t t a 
2 1 1 4 4 1 
1 3 1 4 4 1 
They are then read out in rows:
211441131441
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: blatta
Cipher: bqdlqd

Read more ...
Method #3

Plaintext: blatta
method variations:
acqtdf cqtdfa qtdfac
tdfacq dfacqt facqtd

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: blatta

all 720 cipher variations:
blatta blatat blatta blatat blaatt blaatt bltata bltaat blttaa blttaa bltata
bltaat blttaa blttaa bltata bltaat bltaat bltata blatta blatat blatta blatat
blaatt blaatt baltta baltat baltta baltat balatt balatt batlta batlat battla
battal batatl batalt battla battal batlta batlat batalt batatl baattl baatlt
baattl baatlt baaltt baaltt btalta btalat btatla btatal btaatl btaalt btlata
btlaat btltaa btltaa btlata btlaat bttlaa bttlaa bttala bttaal bttaal bttala
btalta btalat btatla btatal btaatl btaalt btatla btatal btalta btalat btaalt
btaatl bttala bttaal bttlaa bttlaa bttala bttaal btltaa btltaa btlata btlaat
btlaat btlata btatla btatal btalta btalat btaalt btaatl baattl baatlt baattl
baatlt baaltt baaltt batatl batalt battal battla batlta batlat battal battla
batatl batalt batlat batlta baltta baltat baltta baltat balatt balatt lbatta
lbatat lbatta lbatat lbaatt lbaatt lbtata lbtaat lbttaa lbttaa lbtata lbtaat
lbttaa lbttaa lbtata lbtaat lbtaat lbtata lbatta lbatat lbatta lbatat lbaatt
lbaatt labtta labtat labtta labtat labatt labatt latbta latbat lattba lattab
latatb latabt lattba lattab latbta latbat latabt latatb laattb laatbt laattb
laatbt laabtt laabtt ltabta ltabat ltatba ltatab ltaatb ltaabt ltbata ltbaat
ltbtaa ltbtaa ltbata ltbaat lttbaa lttbaa lttaba lttaab lttaab lttaba ltabta
ltabat ltatba ltatab ltaatb ltaabt ltatba ltatab ltabta ltabat ltaabt ltaatb
lttaba lttaab lttbaa lttbaa lttaba lttaab ltbtaa ltbtaa ltbata ltbaat ltbaat
ltbata ltatba ltatab ltabta ltabat ltaabt ltaatb laattb laatbt laattb laatbt
laabtt laabtt latatb latabt lattab lattba latbta latbat lattab lattba latatb
latabt latbat latbta labtta labtat labtta labtat labatt labatt albtta albtat
albtta albtat albatt albatt altbta altbat alttba alttab altatb altabt alttba
alttab altbta altbat altabt altatb alattb alatbt alattb alatbt alabtt alabtt
abltta abltat abltta abltat ablatt ablatt abtlta abtlat abttla abttal abtatl
abtalt abttla abttal abtlta abtlat abtalt abtatl abattl abatlt abattl abatlt
abaltt abaltt atblta atblat atbtla atbtal atbatl atbalt atlbta atlbat atltba
atltab atlatb atlabt attlba attlab attbla attbal attabl attalb ataltb atalbt
atatlb atatbl atabtl atablt atbtla atbtal atblta atblat atbalt atbatl attbla
attbal attlba attlab attalb attabl atltba atltab atlbta atlbat atlabt atlatb
atatlb atatbl ataltb atalbt atablt atabtl aabttl aabtlt aabttl aabtlt aabltt
aabltt aatbtl aatblt aattbl aattlb aatltb aatlbt aattbl aattlb aatbtl aatblt
aatlbt aatltb aalttb aaltbt aalttb aaltbt aalbtt aalbtt tlabta tlabat tlatba
tlatab tlaatb tlaabt tlbata tlbaat tlbtaa tlbtaa tlbata tlbaat tltbaa tltbaa
tltaba tltaab tltaab tltaba tlabta tlabat tlatba tlatab tlaatb tlaabt talbta
talbat taltba taltab talatb talabt tablta tablat tabtla tabtal tabatl tabalt
tatbla tatbal tatlba tatlab tatalb tatabl taabtl taablt taatbl taatlb taaltb
taalbt tbalta tbalat tbatla tbatal tbaatl tbaalt tblata tblaat tbltaa tbltaa
tblata tblaat tbtlaa tbtlaa tbtala tbtaal tbtaal tbtala tbalta tbalat tbatla
tbatal tbaatl tbaalt ttabla ttabal ttalba ttalab ttaalb ttaabl ttbala ttbaal
ttblaa ttblaa ttbala ttbaal ttlbaa ttlbaa ttlaba ttlaab ttlaab ttlaba ttabla
ttabal ttalba ttalab ttaalb ttaabl taabtl taablt taatbl taatlb taaltb taalbt
tabatl tabalt tabtal tabtla tablta tablat tatbal tatbla tatabl tatalb tatlab
tatlba talbta talbat taltba taltab talatb talabt tlatba tlatab tlabta tlabat
tlaabt tlaatb tltaba tltaab tltbaa tltbaa tltaba tltaab tlbtaa tlbtaa tlbata
tlbaat tlbaat tlbata tlatba tlatab tlabta tlabat tlaabt tlaatb taltba taltab
talbta talbat talabt talatb tatlba tatlab tatbla tatbal tatabl tatalb tabtla
tabtal tablta tablat tabalt tabatl taatbl taatlb taabtl taablt taalbt taaltb
ttalba ttalab ttabla ttabal ttaabl ttaalb ttlaba ttlaab ttlbaa ttlbaa ttlaba
ttlaab ttblaa ttblaa ttbala ttbaal ttbaal ttbala ttalba ttalab ttabla ttabal
ttaabl ttaalb tbatla tbatal tbalta tbalat tbaalt tbaatl tbtala tbtaal tbtlaa
tbtlaa tbtala tbtaal tbltaa tbltaa tblata tblaat tblaat tblata tbatla tbatal
tbalta tbalat tbaalt tbaatl taatbl taatlb taabtl taablt taalbt taaltb tatabl
tatalb tatbal tatbla tatlba tatlab tabtal tabtla tabatl tabalt tablat tablta
taltba taltab talbta talbat talabt talatb alattb alatbt alattb alatbt alabtt
alabtt altatb altabt alttab alttba altbta altbat alttab alttba altatb altabt
altbat altbta albtta albtat albtta albtat albatt albatt aalttb aaltbt aalttb
aaltbt aalbtt aalbtt aatltb aatlbt aattlb aattbl aatbtl aatblt aattlb aattbl
aatltb aatlbt aatblt aatbtl aabttl aabtlt aabttl aabtlt aabltt aabltt ataltb
atalbt atatlb atatbl atabtl atablt atlatb atlabt atltab atltba atlbta atlbat
attlab attlba attalb attabl attbal attbla atblta atblat atbtla atbtal atbatl
atbalt atatlb atatbl ataltb atalbt atablt atabtl attalb attabl attlab attlba
attbla attbal atltab atltba atlatb atlabt atlbat atlbta atbtla atbtal atblta
atblat atbalt atbatl abattl abatlt abattl abatlt abaltt abaltt abtatl abtalt
abttal abttla abtlta abtlat abttal abttla abtatl abtalt abtlat abtlta abltta
abltat abltta abltat ablatt ablatt

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