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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: bamban
cipher variations:
cbncbo dcodcp edpedq feqfer gfrgfs
hgshgt ihtihu jiujiv kjvkjw lkwlkx
mlxmly nmynmz onzona poapob qpbqpc
rqcrqd srdsre tsetsf utfutg vugvuh
wvhwvi xwixwj yxjyxk zykzyl azlazm

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: bamban
Cipher: yznyzm

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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: bamban
Cipher: AAAAB AAAAA ABABB AAAAB AAAAA ABBAA

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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: bamban
cipher variations:
cbncboeblebogbjgboibhibokbfkbombdmboqbzqbosbxsbo
ubvubowbtwboybryboabpabodcodcpfcmfcphckhcpjcijcp
lcglcpncencprcarcptcytcpvcwvcpxcuxcpzcszcpbcqbcp
edpedqgdngdqidlidqkdjkdqmdhmdqodfodqsdbsdqudzudq
wdxwdqydvydqadtadqcdrcdqfeqferheoherjemjerlekler
neinerpegpertecterveaverxeyxerzewzerbeuberdesder
gfrgfsifpifskfnkfsmflmfsofjofsqfhqfsufdufswfbwfs
yfzyfsafxafscfvcfseftefshgshgtjgqjgtlgolgtngmngt
pgkpgtrgirgtvgevgtxgcxgtzgazgtbgybgtdgwdgtfgufgt
ihtihukhrkhumhpmhuohnohuqhlqhushjshuwhfwhuyhdyhu
ahbahuchzchuehxehughvghujiujivlislivniqnivpiopiv
rimrivtiktivxigxivziezivbicbivdiadivfiyfivhiwhiv
kjvkjwmjtmjwojrojwqjpqjwsjnsjwujlujwyjhyjwajfajw
cjdcjwejbejwgjzgjwijxijwlkwlkxnkunkxpkspkxrkqrkx
tkotkxvkmvkxzkizkxbkgbkxdkedkxfkcfkxhkahkxjkyjkx
mlxmlyolvolyqltqlyslrslyulpulywlnwlyaljalyclhcly
elfelygldglyilbilyklzklynmynmzpmwpmzrmurmztmstmz
vmqvmzxmoxmzbmkbmzdmidmzfmgfmzhmehmzjmcjmzlmalmz
onzonaqnxqnasnvsnauntunawnrwnaynpynacnlcnaenjena
gnhgnainfinakndknamnbmnapoapobroyrobtowtobvouvob
xosxobzoqzobdomdobfokfobhoihobjogjobloelobnocnob
qpbqpcspzspcupxupcwpvwpcyptypcaprapcepnepcgplgpc
ipjipckphkpcmpfmpcopdopcrqcrqdtqatqdvqyvqdxqwxqd
zquzqdbqsbqdfqofqdhqmhqdjqkjqdlqilqdnqgnqdpqepqd
srdsreurburewrzwreyrxyrearvarecrtcregrpgreirnire
krlkremrjmreorhoreqrfqretsetsfvscvsfxsaxsfzsyzsf
bswbsfdsudsfhsqhsfjsojsflsmlsfnsknsfpsipsfrsgrsf
utfutgwtdwtgytbytgatzatgctxctgetvetgitritgktpktg
mtnmtgotlotgqtjqtgsthstgvugvuhxuexuhzuczuhbuabuh
duyduhfuwfuhjusjuhluqluhnuonuhpumpuhrukruhtuituh
wvhwviyvfyviavdavicvbcvievzevigvxgvikvtkvimvrmvi
ovpoviqvnqvisvlsviuvjuvixwixwjzwgzwjbwebwjdwcdwj
fwafwjhwyhwjlwulwjnwsnwjpwqpwjrworwjtwmtwjvwkvwj
yxjyxkaxhaxkcxfcxkexdexkgxbgxkixzixkmxvmxkoxtoxk
qxrqxksxpsxkuxnuxkwxlwxkzykzylbyibyldygdylfyefyl
hychyljyajylnywnylpyupylrysryltyqtylvyovylxymxyl
azlazmczjczmezhezmgzfgzmizdizmkzbkzmozxozmqzvqzm
sztszmuzruzmwzpwzmyznyzmbambandakdanfaifanhaghan
jaejanlaclanpaypanrawrantautanvasvanxaqxanzaozan

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: bamban
Cipher: onzona

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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: bamban
Cipher: 211123211133

Extended Methods:
Method #1

Plaintext: bamban
method variations:
gfrgfsmlwmlxrqbrqcwvgwvh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b a m b a n 
2 1 2 2 1 3 
1 1 3 1 1 3 
They are then read out in rows:
212213113113
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: bamban
Cipher: bglacl

Read more ...
Method #3

Plaintext: bamban
method variations:
afhalh fhalha halhaf
alhafh lhafha hafhal

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: bamban

all 720 cipher variations:
bamban bambna bamabn bamanb bamnab bamnba babman babmna babamn babanm babnam
babnma baabmn baabnm baambn baamnb baanmb baanbm banbam banbma banabm banamb
banmab banmba bmaban bmabna bmaabn bmaanb bmanab bmanba bmbaan bmbana bmbaan
bmbana bmbnaa bmbnaa bmaban bmabna bmaabn bmaanb bmanab bmanba bmnbaa bmnbaa
bmnaba bmnaab bmnaab bmnaba bbmaan bbmana bbmaan bbmana bbmnaa bbmnaa bbaman
bbamna bbaamn bbaanm bbanam bbanma bbaamn bbaanm bbaman bbamna bbanma bbanam
bbnaam bbnama bbnaam bbnama bbnmaa bbnmaa bamban bambna bamabn bamanb bamnab
bamnba babman babmna babamn babanm babnam babnma baabmn baabnm baambn baamnb
baanmb baanbm banbam banbma banabm banamb banmab banmba bnmbaa bnmbaa bnmaba
bnmaab bnmaab bnmaba bnbmaa bnbmaa bnbama bnbaam bnbaam bnbama bnabma bnabam
bnamba bnamab bnaamb bnaabm bnabam bnabma bnaabm bnaamb bnamab bnamba abmban
abmbna abmabn abmanb abmnab abmnba abbman abbmna abbamn abbanm abbnam abbnma
ababmn ababnm abambn abamnb abanmb abanbm abnbam abnbma abnabm abnamb abnmab
abnmba ambban ambbna ambabn ambanb ambnab ambnba ambban ambbna ambabn ambanb
ambnab ambnba amabbn amabnb amabbn amabnb amanbb amanbb amnbab amnbba amnabb
amnabb amnbab amnbba abmban abmbna abmabn abmanb abmnab abmnba abbman abbmna
abbamn abbanm abbnam abbnma ababmn ababnm abambn abamnb abanmb abanbm abnbam
abnbma abnabm abnamb abnmab abnmba aambbn aambnb aambbn aambnb aamnbb aamnbb
aabmbn aabmnb aabbmn aabbnm aabnbm aabnmb aabbmn aabbnm aabmbn aabmnb aabnmb
aabnbm aanbbm aanbmb aanbbm aanbmb aanmbb aanmbb anmbab anmbba anmabb anmabb
anmbab anmbba anbmab anbmba anbamb anbabm anbbam anbbma anabmb anabbm anambb
anambb anabmb anabbm anbbam anbbma anbabm anbamb anbmab anbmba mabban mabbna
mababn mabanb mabnab mabnba mabban mabbna mababn mabanb mabnab mabnba maabbn
maabnb maabbn maabnb maanbb maanbb manbab manbba manabb manabb manbab manbba
mbaban mbabna mbaabn mbaanb mbanab mbanba mbbaan mbbana mbbaan mbbana mbbnaa
mbbnaa mbaban mbabna mbaabn mbaanb mbanab mbanba mbnbaa mbnbaa mbnaba mbnaab
mbnaab mbnaba mbbaan mbbana mbbaan mbbana mbbnaa mbbnaa mbaban mbabna mbaabn
mbaanb mbanab mbanba mbaabn mbaanb mbaban mbabna mbanba mbanab mbnaab mbnaba
mbnaab mbnaba mbnbaa mbnbaa mabban mabbna mababn mabanb mabnab mabnba mabban
mabbna mababn mabanb mabnab mabnba maabbn maabnb maabbn maabnb maanbb maanbb
manbab manbba manabb manabb manbab manbba mnbbaa mnbbaa mnbaba mnbaab mnbaab
mnbaba mnbbaa mnbbaa mnbaba mnbaab mnbaab mnbaba mnabba mnabab mnabba mnabab
mnaabb mnaabb mnabab mnabba mnaabb mnaabb mnabab mnabba bamban bambna bamabn
bamanb bamnab bamnba babman babmna babamn babanm babnam babnma baabmn baabnm
baambn baamnb baanmb baanbm banbam banbma banabm banamb banmab banmba bmaban
bmabna bmaabn bmaanb bmanab bmanba bmbaan bmbana bmbaan bmbana bmbnaa bmbnaa
bmaban bmabna bmaabn bmaanb bmanab bmanba bmnbaa bmnbaa bmnaba bmnaab bmnaab
bmnaba bbmaan bbmana bbmaan bbmana bbmnaa bbmnaa bbaman bbamna bbaamn bbaanm
bbanam bbanma bbaamn bbaanm bbaman bbamna bbanma bbanam bbnaam bbnama bbnaam
bbnama bbnmaa bbnmaa bamban bambna bamabn bamanb bamnab bamnba babman babmna
babamn babanm babnam babnma baabmn baabnm baambn baamnb baanmb baanbm banbam
banbma banabm banamb banmab banmba bnmbaa bnmbaa bnmaba bnmaab bnmaab bnmaba
bnbmaa bnbmaa bnbama bnbaam bnbaam bnbama bnabma bnabam bnamba bnamab bnaamb
bnaabm bnabam bnabma bnaabm bnaamb bnamab bnamba aambbn aambnb aambbn aambnb
aamnbb aamnbb aabmbn aabmnb aabbmn aabbnm aabnbm aabnmb aabbmn aabbnm aabmbn
aabmnb aabnmb aabnbm aanbbm aanbmb aanbbm aanbmb aanmbb aanmbb amabbn amabnb
amabbn amabnb amanbb amanbb ambabn ambanb ambban ambbna ambnba ambnab ambban
ambbna ambabn ambanb ambnab ambnba amnbba amnbab amnbba amnbab amnabb amnabb
abmabn abmanb abmban abmbna abmnba abmnab abambn abamnb ababmn ababnm abanbm
abanmb abbamn abbanm abbman abbmna abbnma abbnam abnabm abnamb abnbam abnbma
abnmba abnmab abmban abmbna abmabn abmanb abmnab abmnba abbman abbmna abbamn
abbanm abbnam abbnma ababmn ababnm abambn abamnb abanmb abanbm abnbam abnbma
abnabm abnamb abnmab abnmba anmbba anmbab anmbba anmbab anmabb anmabb anbmba
anbmab anbbma anbbam anbabm anbamb anbbma anbbam anbmba anbmab anbamb anbabm
anabbm anabmb anabbm anabmb anambb anambb nambab nambba namabb namabb nambab
nambba nabmab nabmba nabamb nababm nabbam nabbma naabmb naabbm naambb naambb
naabmb naabbm nabbam nabbma nababm nabamb nabmab nabmba nmabab nmabba nmaabb
nmaabb nmabab nmabba nmbaab nmbaba nmbaab nmbaba nmbbaa nmbbaa nmabab nmabba
nmaabb nmaabb nmabab nmabba nmbbaa nmbbaa nmbaba nmbaab nmbaab nmbaba nbmaab
nbmaba nbmaab nbmaba nbmbaa nbmbaa nbamab nbamba nbaamb nbaabm nbabam nbabma
nbaamb nbaabm nbamab nbamba nbabma nbabam nbbaam nbbama nbbaam nbbama nbbmaa
nbbmaa nambab nambba namabb namabb nambab nambba nabmab nabmba nabamb nababm
nabbam nabbma naabmb naabbm naambb naambb naabmb naabbm nabbam nabbma nababm
nabamb nabmab nabmba nbmbaa nbmbaa nbmaba nbmaab nbmaab nbmaba nbbmaa nbbmaa
nbbama nbbaam nbbaam nbbama nbabma nbabam nbamba nbamab nbaamb nbaabm nbabam
nbabma nbaabm nbaamb nbamab nbamba

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