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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: melees
cipher variations:
nfmfft ognggu phohhv qipiiw rjqjjx
skrkky tlsllz umtmma vnunnb wovooc
xpwppd yqxqqe zryrrf aszssg btatth
cubuui dvcvvj ewdwwk fxexxl gyfyym
hzgzzn iahaao jbibbp kcjccq ldkddr

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: melees
Cipher: nvovvh

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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: melees
Cipher: ABABB AABAA ABABA AABAA AABAA 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: melees
cipher variations:
nfmfftlninndjvevvnhdaddxflwllhdtsttrzjkjjlxrgrrv
vzczzfthyhhprpuppzpxqxxjognggumojooekwfwwoiebeey
gmxmmieutuusaklkkmyshsswwadaaguiziiqsqvqqaqyryyk
phohhvnpkppflxgxxpjfcffzhnynnjfvuvvtblmllnztittx
xbebbhvjajjrtrwrrbrzszzlqipiiwoqlqqgmyhyyqkgdgga
iozookgwvwwucmnmmoaujuuyycfcciwkbkksusxsscsataam
rjqjjxprmrrhnzizzrlhehhbjpapplhxwxxvdnonnpbvkvvz
zdgddjxlclltvtyttdtbubbnskrkkyqsnssioajaasmifiic
kqbqqmiyxyyweopooqcwlwwaaeheekymdmmuwuzuueucvcco
tlsllzrtottjpbkbbtnjgjjdlrcrrnjzyzzxfpqpprdxmxxb
bfifflznennvxvavvfvdwddpumtmmasupuukqclccuokhkke
msdssokazaaygqrqqseynyyccgjggmaofoowywbwwgwexeeq
vnunnbtvqvvlrdmddvplillfntettplbabbzhrsrrtfzozzd
dhkhhnbpgppxzxcxxhxfyffrwovoocuwrwwmseneewqmjmmg
oufuuqmcbccaistssugapaaeeiliiocqhqqyaydyyiygzggs
xpwppdvxsxxntfoffxrnknnhpvgvvrndcddbjtuttvhbqbbf
fjmjjpdrirrzbzezzjzhahhtyqxqqewytyyougpggysolooi
qwhwwsoedeeckuvuuwicrccggknkkqesjssacafaakaibiiu
zryrrfxzuzzpvhqhhztpmppjrxixxtpfeffdlvwvvxjdsddh
hlollrftkttbdbgbblbjcjjvaszssgyavaaqwiriiauqnqqk
syjyyuqgfggemwxwwyketeeiimpmmsguluucechccmckdkkw
btatthzbwbbrxjsjjbvrorrltzkzzvrhghhfnxyxxzlfuffj
jnqnnthvmvvdfdiddndlellxcubuuiacxccsyktkkcwspssm
ualaawsihiigoyzyyamgvggkkoroouiwnwwegejeeoemfmmy
dvcvvjbdyddtzlulldxtqttnvbmbbxtjijjhpzazzbnhwhhl
lpsppvjxoxxfhfkffpfngnnzewdwwkcezeeuamvmmeyuruuo
wcnccyukjkkiqabaacoixiimmqtqqwkypyygiglggqgohooa
fxexxldfaffvbnwnnfzvsvvpxdoddzvlklljrbcbbdpjyjjn
nrurrxlzqzzhjhmhhrhpippbgyfyymegbggwcoxoogawtwwq
yepeeawmlmmkscdcceqkzkkoosvssymaraaikiniisiqjqqc
hzgzznfhchhxdpypphbxuxxrzfqffbxnmnnltdeddfrlallp
ptwttznbsbbjljojjtjrkrrdiahaaogidiiyeqzqqicyvyys
agrggcyonoomuefeegsmbmmqquxuuaoctcckmkpkkukslsse
jbibbphjejjzfrarrjdzwzztbhshhdzpoppnvfgffhtncnnr
rvyvvbpduddlnlqllvltmttfkcjccqikfkkagsbsskeaxaau
citiieaqpqqowghggiuodoosswzwwcqeveemomrmmwmunuug
ldkddrjlgllbhtcttlfbybbvdjujjfbrqrrpxhihhjvpeppt
txaxxdrfwffnpnsnnxnvovvhmeleeskmhmmciuduumgczccw
ekvkkgcsrssqyijiikwqfqquuybyyesgxggoqotooyowpwwi

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: melees
Cipher: zryrrf

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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: melees
Cipher: 235113515134

Extended Methods:
Method #1

Plaintext: melees
method variations:
rkqkkxwpvppcbuauuhgzfzzn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m e l e e s 
2 5 1 5 5 3 
3 1 3 1 1 4 
They are then read out in rows:
251553313114
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: melees
Cipher: wvpccq

Read more ...
Method #3

Plaintext: melees
method variations:
xaxvli axvlix xvlixa
vlixax lixaxv ixaxvl

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: melees

all 720 cipher variations:
melees melese melees melese melsee melsee meeles meelse meeels meeesl meesel
meesle meeels meeesl meeles meelse meesle meesel meseel mesele meseel mesele
meslee meslee mleees mleese mleees mleese mlesee mlesee mleees mleese mleees
mleese mlesee mlesee mleees mleese mleees mleese mlesee mlesee mlseee mlseee
mlseee mlseee mlseee mlseee melees melese melees melese melsee melsee meeles
meelse meeels meeesl meesel meesle meeels meeesl meeles meelse meesle meesel
meseel mesele meseel mesele meslee meslee melees melese melees melese melsee
melsee meeles meelse meeels meeesl meesel meesle meeels meeesl meeles meelse
meesle meesel meseel mesele meseel mesele meslee meslee msleee msleee msleee
msleee msleee msleee mselee mselee mseele mseeel mseeel mseele mseele mseeel
mselee mselee mseele mseeel mseeel mseele mseeel mseele mselee mselee emlees
emlese emlees emlese emlsee emlsee emeles emelse emeels emeesl emesel emesle
emeels emeesl emeles emelse emesle emesel emseel emsele emseel emsele emslee
emslee elmees elmese elmees elmese elmsee elmsee elemes elemse eleems eleesm
elesem elesme eleems eleesm elemes elemse elesme elesem elseem elseme elseem
elseme elsmee elsmee eelmes eelmse eelems eelesm eelsem eelsme eemles eemlse
eemels eemesl eemsel eemsle eeemls eeemsl eeelms eeelsm eeeslm eeesml eesmel
eesmle eeseml eeselm eeslem eeslme eelems eelesm eelmes eelmse eelsme eelsem
eeelms eeelsm eeemls eeemsl eeesml eeeslm eemels eemesl eemles eemlse eemsle
eemsel eeseml eeselm eesmel eesmle eeslme eeslem esleem esleme esleem esleme
eslmee eslmee eselem eselme eseelm eseeml esemel esemle eseelm eseeml eselem
eselme esemle esemel esmeel esmele esmeel esmele esmlee esmlee lemees lemese
lemees lemese lemsee lemsee leemes leemse leeems leeesm leesem leesme leeems
leeesm leemes leemse leesme leesem leseem leseme leseem leseme lesmee lesmee
lmeees lmeese lmeees lmeese lmesee lmesee lmeees lmeese lmeees lmeese lmesee
lmesee lmeees lmeese lmeees lmeese lmesee lmesee lmseee lmseee lmseee lmseee
lmseee lmseee lemees lemese lemees lemese lemsee lemsee leemes leemse leeems
leeesm leesem leesme leeems leeesm leemes leemse leesme leesem leseem leseme
leseem leseme lesmee lesmee lemees lemese lemees lemese lemsee lemsee leemes
leemse leeems leeesm leesem leesme leeems leeesm leemes leemse leesme leesem
leseem leseme leseem leseme lesmee lesmee lsmeee lsmeee lsmeee lsmeee lsmeee
lsmeee lsemee lsemee lseeme lseeem lseeem lseeme lseeme lseeem lsemee lsemee
lseeme lseeem lseeem lseeme lseeem lseeme lsemee lsemee eelmes eelmse eelems
eelesm eelsem eelsme eemles eemlse eemels eemesl eemsel eemsle eeemls eeemsl
eeelms eeelsm eeeslm eeesml eesmel eesmle eeseml eeselm eeslem eeslme elemes
elemse eleems eleesm elesem elesme elmees elmese elmees elmese elmsee elmsee
elemes elemse eleems eleesm elesem elesme elsmee elsmee elseme elseem elseem
elseme emlees emlese emlees emlese emlsee emlsee emeles emelse emeels emeesl
emesel emesle emeels emeesl emeles emelse emesle emesel emseel emsele emseel
emsele emslee emslee eelmes eelmse eelems eelesm eelsem eelsme eemles eemlse
eemels eemesl eemsel eemsle eeemls eeemsl eeelms eeelsm eeeslm eeesml eesmel
eesmle eeseml eeselm eeslem eeslme eslmee eslmee esleme esleem esleem esleme
esmlee esmlee esmele esmeel esmeel esmele esemle esemel eselme eselem eseelm
eseeml esemel esemle eseeml eseelm eselem eselme eelems eelesm eelmes eelmse
eelsme eelsem eeelms eeelsm eeemls eeemsl eeesml eeeslm eemels eemesl eemles
eemlse eemsle eemsel eeseml eeselm eesmel eesmle eeslme eeslem eleems eleesm
elemes elemse elesme elesem eleems eleesm elemes elemse elesme elesem elmees
elmese elmees elmese elmsee elmsee elseme elseem elsmee elsmee elseme elseem
eelems eelesm eelmes eelmse eelsme eelsem eeelms eeelsm eeemls eeemsl eeesml
eeeslm eemels eemesl eemles eemlse eemsle eemsel eeseml eeselm eesmel eesmle
eeslme eeslem emlees emlese emlees emlese emlsee emlsee emeles emelse emeels
emeesl emesel emesle emeels emeesl emeles emelse emesle emesel emseel emsele
emseel emsele emslee emslee esleme esleem eslmee eslmee esleme esleem eselme
eselem esemle esemel eseeml eseelm esmele esmeel esmlee esmlee esmele esmeel
eseeml eseelm esemel esemle eselme eselem seleem seleme seleem seleme selmee
selmee seelem seelme seeelm seeeml seemel seemle seeelm seeeml seelem seelme
seemle seemel semeel semele semeel semele semlee semlee sleeem sleeme sleeem
sleeme slemee slemee sleeem sleeme sleeem sleeme slemee slemee sleeem sleeme
sleeem sleeme slemee slemee slmeee slmeee slmeee slmeee slmeee slmeee seleem
seleme seleem seleme selmee selmee seelem seelme seeelm seeeml seemel seemle
seeelm seeeml seelem seelme seemle seemel semeel semele semeel semele semlee
semlee seleem seleme seleem seleme selmee selmee seelem seelme seeelm seeeml
seemel seemle seeelm seeeml seelem seelme seemle seemel semeel semele semeel
semele semlee semlee smleee smleee smleee smleee smleee smleee smelee smelee
smeele smeeel smeeel smeele smeele smeeel smelee smelee smeele smeeel smeeel
smeele smeeel smeele smelee smelee

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