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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: iniomi
cipher variations:
jojpnj kpkqok lqlrpl mrmsqm nsntrn
otouso pupvtp qvqwuq rwrxvr sxsyws
tytzxt uzuayu vavbzv wbwcaw xcxdbx
ydyecy zezfdz afagea bgbhfb chcigc
didjhd ejekie fkfljf glgmkg hmhnlh

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: iniomi
Cipher: rmrlnr

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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: iniomi
Cipher: ABAAA ABBAA ABAAA ABBAB ABABB ABAAA

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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: iniomi
cipher variations:
jojpnjzozrlzpoptjpfofvhfvovxfvlolzdlrordzrhohfxh
xoxhvxnonjtndodlrdtotnptkpkqokapasmaqpqukqgpgwig
wpwygwmpmaemspseasipigyiypyiwyopokuoepemseupuoqu
lqlrplbqbtnbrqrvlrhqhxjhxqxzhxnqnbfntqtfbtjqjhzj
zqzjxzpqplvpfqfntfvqvprvmrmsqmcrcuocsrswmsiriyki
yryaiyorocgourugcukrkiakarakyaqrqmwqgrgougwrwqsw
nsntrndsdvpdtstxntjsjzljzszbjzpspdhpvsvhdvlsljbl
bsblzbrsrnxrhshpvhxsxrtxotousoetewqeutuyouktkamk
atackaqtqeiqwtwiewmtmkcmctcmacstsoysitiqwiytysuy
pupvtpfufxrfvuvzpvlulbnlbubdlbrurfjrxuxjfxnunldn
dudnbdtutpztjujrxjzuztvzqvqwuqgvgysgwvwaqwmvmcom
cvcemcsvsgksyvykgyovomeoeveoceuvuqaukvksykavauwa
rwrxvrhwhzthxwxbrxnwndpndwdfndtwthltzwzlhzpwpnfp
fwfpdfvwvrbvlwltzlbwbvxbsxsywsixiauiyxycsyoxoeqo
exegoeuxuimuaxamiaqxqogqgxgqegwxwscwmxmuamcxcwyc
tytzxtjyjbvjzyzdtzpypfrpfyfhpfvyvjnvbybnjbryrphr
hyhrfhxyxtdxnynvbndydxzduzuayukzkcwkazaeuaqzqgsq
gzgiqgwzwkowczcokcszsqisizisgiyzyueyozowcoezeyae
vavbzvlaldxlbabfvbrarhtrhahjrhxaxlpxdadpldtatrjt
jajthjzazvfzpapxdpfafzbfwbwcawmbmeymcbcgwcsbsius
ibiksiybymqyebeqmeubuskukbkuikabawgaqbqyeqgbgacg
xcxdbxncnfzndcdhxdtctjvtjcjltjzcznrzfcfrnfvcvtlv
lclvjlbcbxhbrcrzfrhchbdhydyecyodogaoedeiyeudukwu
kdkmukadaosagdgsogwdwumwmdmwkmcdcyicsdsagsidicei
zezfdzpephbpfefjzfvevlxvlelnvlbebptbhehtphxexvnx
nenxlndedzjdtetbhtjejdfjafageaqfqicqgfgkagwfwmyw
mfmowmcfcqucifiuqiyfywoyofoymoefeakeufuciukfkegk
bgbhfbrgrjdrhghlbhxgxnzxngnpxndgdrvdjgjvrjzgzxpz
pgpznpfgfblfvgvdjvlglfhlchcigcshskesihimciyhyoay
ohoqyoeheswekhkwskahayqaqhqaoqghgcmgwhwekwmhmgim
didjhdtitlftjijndjzizpbzpiprzpfiftxflilxtlbibzrb
rirbprhihdnhxixflxninhjnejekieujumgukjkoekajaqca
qjqsaqgjguygmjmyumcjcascsjscqsijieoiyjygmyojoiko
fkfljfvkvnhvlklpflbkbrdbrkrtbrhkhvzhnknzvndkdbtd
tktdrtjkjfpjzkzhnzpkpjlpglgmkgwlwoiwmlmqgmclcsec
slsucsiliwaioloawoelecueuluesuklkgqkalaioaqlqkmq
hmhnlhxmxpjxnmnrhndmdtfdtmtvdtjmjxbjpmpbxpfmfdvf
vmvftvlmlhrlbmbjpbrmrlnriniomiynyqkyonosioeneuge
unuweuknkyckqnqcyqgngewgwnwguwmnmismcnckqcsnsmos

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: iniomi
Cipher: vavbzv

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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: iniomi
Cipher: 423342432342

Extended Methods:
Method #1

Plaintext: iniomi
method variations:
osotrotxtywtycydbydhdigd

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
i n i o m i 
4 3 4 4 2 4 
2 3 2 3 3 2 
They are then read out in rows:
434424232332
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: iniomi
Cipher: otrmmh

Read more ...
Method #3

Plaintext: iniomi
method variations:
msrhsr srhsrm rhsrms
hsrmsr srmsrh rmsrhs

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: iniomi

all 720 cipher variations:
iniomi inioim inimoi inimio iniimo iniiom inoimi inoiim inomii inomii inoimi
inoiim inmoii inmoii inmioi inmiio inmiio inmioi iniomi inioim inimoi inimio
iniimo iniiom iinomi iinoim iinmoi iinmio iinimo iiniom iionmi iionim iiomni
iiomin iioimn iioinm iimoni iimoin iimnoi iimnio iimino iimion iiiomn iiionm
iiimon iiimno iiinmo iiinom ioinmi ioinim ioimni ioimin ioiimn ioiinm ionimi
ioniim ionmii ionmii ionimi ioniim iomnii iomnii iomini iomiin iomiin iomini
ioinmi ioinim ioimni ioimin ioiimn ioiinm imioni imioin iminoi iminio imiino
imiion imoini imoiin imonii imonii imoini imoiin imnoii imnoii imnioi imniio
imniio imnioi imioni imioin iminoi iminio imiino imiion iiiomn iiionm iiimon
iiimno iiinmo iiinom iioimn iioinm iiomin iiomni iionmi iionim iimoin iimoni
iimion iimino iimnio iimnoi iinomi iinoim iinmoi iinmio iinimo iiniom niiomi
niioim niimoi niimio niiimo niiiom nioimi nioiim niomii niomii nioimi nioiim
nimoii nimoii nimioi nimiio nimiio nimioi niiomi niioim niimoi niimio niiimo
niiiom niiomi niioim niimoi niimio niiimo niiiom nioimi nioiim niomii niomii
nioimi nioiim nimoii nimoii nimioi nimiio nimiio nimioi niiomi niioim niimoi
niimio niiimo niiiom noiimi noiiim noimii noimii noiimi noiiim noiimi noiiim
noimii noimii noiimi noiiim nomiii nomiii nomiii nomiii nomiii nomiii noiimi
noiiim noimii noimii noiimi noiiim nmioii nmioii nmiioi nmiiio nmiiio nmiioi
nmoiii nmoiii nmoiii nmoiii nmoiii nmoiii nmioii nmioii nmiioi nmiiio nmiiio
nmiioi nmioii nmioii nmiioi nmiiio nmiiio nmiioi niiomi niioim niimoi niimio
niiimo niiiom nioimi nioiim niomii niomii nioimi nioiim nimoii nimoii nimioi
nimiio nimiio nimioi niiomi niioim niimoi niimio niiimo niiiom iniomi inioim
inimoi inimio iniimo iniiom inoimi inoiim inomii inomii inoimi inoiim inmoii
inmoii inmioi inmiio inmiio inmioi iniomi inioim inimoi inimio iniimo iniiom
iinomi iinoim iinmoi iinmio iinimo iiniom iionmi iionim iiomni iiomin iioimn
iioinm iimoni iimoin iimnoi iimnio iimino iimion iiiomn iiionm iiimon iiimno
iiinmo iiinom ioinmi ioinim ioimni ioimin ioiimn ioiinm ionimi ioniim ionmii
ionmii ionimi ioniim iomnii iomnii iomini iomiin iomiin iomini ioinmi ioinim
ioimni ioimin ioiimn ioiinm imioni imioin iminoi iminio imiino imiion imoini
imoiin imonii imonii imoini imoiin imnoii imnoii imnioi imniio imniio imnioi
imioni imioin iminoi iminio imiino imiion iiiomn iiionm iiimon iiimno iiinmo
iiinom iioimn iioinm iiomin iiomni iionmi iionim iimoin iimoni iimion iimino
iimnio iimnoi iinomi iinoim iinmoi iinmio iinimo iiniom oniimi oniiim onimii
onimii oniimi oniiim oniimi oniiim onimii onimii oniimi oniiim onmiii onmiii
onmiii onmiii onmiii onmiii oniimi oniiim onimii onimii oniimi oniiim oinimi
oiniim oinmii oinmii oinimi oiniim oiinmi oiinim oiimni oiimin oiiimn oiiinm
oimini oimiin oimnii oimnii oimini oimiin oiiimn oiiinm oiimin oiimni oiinmi
oiinim oiinmi oiinim oiimni oiimin oiiimn oiiinm oinimi oiniim oinmii oinmii
oinimi oiniim oimnii oimnii oimini oimiin oimiin oimini oiinmi oiinim oiimni
oiimin oiiimn oiiinm omiini omiiin ominii ominii omiini omiiin omiini omiiin
ominii ominii omiini omiiin omniii omniii omniii omniii omniii omniii omiini
omiiin ominii ominii omiini omiiin oiiimn oiiinm oiimin oiimni oiinmi oiinim
oiiimn oiiinm oiimin oiimni oiinmi oiinim oimiin oimini oimiin oimini oimnii
oimnii oinimi oiniim oinmii oinmii oinimi oiniim mnioii mnioii mniioi mniiio
mniiio mniioi mnoiii mnoiii mnoiii mnoiii mnoiii mnoiii mnioii mnioii mniioi
mniiio mniiio mniioi mnioii mnioii mniioi mniiio mniiio mniioi minoii minoii
minioi miniio miniio minioi mionii mionii mioini mioiin mioiin mioini miioni
miioin miinoi miinio miiino miiion miioin miioni miiion miiino miinio miinoi
moinii moinii moiini moiiin moiiin moiini moniii moniii moniii moniii moniii
moniii moinii moinii moiini moiiin moiiin moiini moinii moinii moiini moiiin
moiiin moiini miioni miioin miinoi miinio miiino miiion mioini mioiin mionii
mionii mioini mioiin minoii minoii minioi miniio miniio minioi miioni miioin
miinoi miinio miiino miiion miioin miioni miiion miiino miinio miinoi mioiin
mioini mioiin mioini mionii mionii miioin miioni miiion miiino miinio miinoi
minoii minoii minioi miniio miniio minioi iniomi inioim inimoi inimio iniimo
iniiom inoimi inoiim inomii inomii inoimi inoiim inmoii inmoii inmioi inmiio
inmiio inmioi iniomi inioim inimoi inimio iniimo iniiom iinomi iinoim iinmoi
iinmio iinimo iiniom iionmi iionim iiomni iiomin iioimn iioinm iimoni iimoin
iimnoi iimnio iimino iimion iiiomn iiionm iiimon iiimno iiinmo iiinom ioinmi
ioinim ioimni ioimin ioiimn ioiinm ionimi ioniim ionmii ionmii ionimi ioniim
iomnii iomnii iomini iomiin iomiin iomini ioinmi ioinim ioimni ioimin ioiimn
ioiinm imioni imioin iminoi iminio imiino imiion imoini imoiin imonii imonii
imoini imoiin imnoii imnoii imnioi imniio imniio imnioi imioni imioin iminoi
iminio imiino imiion iiiomn iiionm iiimon iiimno iiinmo iiinom iioimn iioinm
iiomin iiomni iionmi iionim iimoin iimoni iimion iimino iimnio iimnoi iinomi
iinoim iinmoi iinmio iinimo iiniom

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

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