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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: tabara
cipher variations:
ubcbsb vcdctc wdedud xefeve yfgfwf
zghgxg ahihyh bijizi cjkjaj dklkbk
elmlcl fmnmdm gnonen hopofo ipqpgp
jqrqhq krsrir lstsjs mtutkt nuvulu
ovwvmv pwxwnw qxyxox ryzypy szazqz

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: tabara
Cipher: gzyziz

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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: tabara
Cipher: BAABA AAAAA AAAAB AAAAA BAAAA 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: tabara
cipher variations:
ubcbsbgbebabsbgbibebibqbqbkbybcbmbgbabqbwbmbsbeb
ybubmbkbwbubwbybcbibabkbvcdctchcfcbctchcjcfcjcrc
rclczcdcnchcbcrcxcnctcfczcvcnclcxcvcxczcdcjcbclc
wdedudidgdcdudidkdgdkdsdsdmdadedodidcdsdydodudgd
adwdodmdydwdydadedkdcdmdxefevejehedevejelehelete
tenebefepejedetezepevehebexepenezexezebefeledene
yfgfwfkfifefwfkfmfifmfufufofcfgfqfkfefufafqfwfif
cfyfqfofafyfafcfgfmfefofzghgxglgjgfgxglgngjgngvg
vgpgdghgrglgfgvgbgrgxgjgdgzgrgpgbgzgbgdghgngfgpg
ahihyhmhkhghyhmhohkhohwhwhqhehihshmhghwhchshyhkh
ehahshqhchahchehihohghqhbijizinilihizinipilipixi
xirifijitinihixiditizilifibitiridibidifijipihiri
cjkjajojmjijajojqjmjqjyjyjsjgjkjujojijyjejujajmj
gjcjujsjejcjejgjkjqjijsjdklkbkpknkjkbkpkrknkrkzk
zktkhklkvkpkjkzkfkvkbknkhkdkvktkfkdkfkhklkrkjktk
elmlclqlolklclqlslolslalalulilmlwlqlklalglwlclol
ilelwlulglelglilmlslklulfmnmdmrmpmlmdmrmtmpmtmbm
bmvmjmnmxmrmlmbmhmxmdmpmjmfmxmvmhmfmhmjmnmtmlmvm
gnonensnqnmnensnunqnuncncnwnknonynsnmncninynenqn
kngnynwningninknonunmnwnhopofotoronofotovorovodo
doxolopozotonodojozoforolohozoxojohojolopovonoxo
ipqpgpupspopgpupwpspwpepepypmpqpapupopepkpapgpsp
mpipapypkpipkpmpqpwpopypjqrqhqvqtqpqhqvqxqtqxqfq
fqzqnqrqbqvqpqfqlqbqhqtqnqjqbqzqlqjqlqnqrqxqpqzq
krsrirwrurqrirwryruryrgrgrarorsrcrwrqrgrmrcrirur
orkrcrarmrkrmrorsryrqrarlstsjsxsvsrsjsxszsvszshs
hsbspstsdsxsrshsnsdsjsvspslsdsbsnslsnspstszsrsbs
mtutktytwtstktytatwtatititctqtutetytstitotetktwt
qtmtetctotmtotqtutatstctnuvuluzuxutuluzubuxubuju
juduruvufuzutujupufuluxurunufudupunupuruvubutudu
ovwvmvavyvuvmvavcvyvcvkvkvevsvwvgvavuvkvqvgvmvyv
svovgvevqvovqvsvwvcvuvevpwxwnwbwzwvwnwbwdwzwdwlw
lwfwtwxwhwbwvwlwrwhwnwzwtwpwhwfwrwpwrwtwxwdwvwfw
qxyxoxcxaxwxoxcxexaxexmxmxgxuxyxixcxwxmxsxixoxax
uxqxixgxsxqxsxuxyxexwxgxryzypydybyxypydyfybyfyny
nyhyvyzyjydyxynytyjypybyvyryjyhytyrytyvyzyfyxyhy
szazqzezczyzqzezgzczgzozozizwzazkzezyzozuzkzqzcz
wzszkzizuzszuzwzazgzyziztabarafadazarafahadahapa
pajaxabalafazapavalaradaxatalajavatavaxabahazaja

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: tabara
Cipher: gnonen

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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: tabara
Cipher: 441121112411

Extended Methods:
Method #1

Plaintext: tabara
method variations:
yfgfwfdlmlbliqrqgqovwvmv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
t a b a r a 
4 1 2 1 2 1 
4 1 1 1 4 1 
They are then read out in rows:
412121411141
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: tabara
Cipher: dbbdad

Read more ...
Method #3

Plaintext: tabara
method variations:
dfafdq fafdqd afdqdf
fdqdfa dqdfaf qdfafd

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: tabara

all 720 cipher variations:
tabara tabaar tabraa tabraa tabara tabaar taabra taabar taarba taarab taaarb
taaabr taraba taraab tarbaa tarbaa taraba taraab taaarb taaabr taarab taarba
taabra taabar tbaara tbaaar tbaraa tbaraa tbaara tbaaar tbaara tbaaar tbaraa
tbaraa tbaara tbaaar tbraaa tbraaa tbraaa tbraaa tbraaa tbraaa tbaara tbaaar
tbaraa tbaraa tbaara tbaaar tabara tabaar tabraa tabraa tabara tabaar taabra
taabar taarba taarab taaarb taaabr taraba taraab tarbaa tarbaa taraba taraab
taaarb taaabr taarab taarba taabra taabar trbaaa trbaaa trbaaa trbaaa trbaaa
trbaaa trabaa trabaa traaba traaab traaab traaba traaba traaab trabaa trabaa
traaba traaab traaab traaba traaab traaba trabaa trabaa tabara tabaar tabraa
tabraa tabara tabaar taabra taabar taarba taarab taaarb taaabr taraba taraab
tarbaa tarbaa taraba taraab taaarb taaabr taarab taarba taabra taabar atbara
atbaar atbraa atbraa atbara atbaar atabra atabar atarba atarab ataarb ataabr
atraba atraab atrbaa atrbaa atraba atraab ataarb ataabr atarab atarba atabra
atabar abtara abtaar abtraa abtraa abtara abtaar abatra abatar abarta abarat
abaart abaatr abrata abraat abrtaa abrtaa abrata abraat abaart abaatr abarat
abarta abatra abatar aabtra aabtar aabrta aabrat aabart aabatr aatbra aatbar
aatrba aatrab aatarb aatabr aartba aartab aarbta aarbat aarabt aaratb aaatrb
aaatbr aaartb aaarbt aaabrt aaabtr arbata arbaat arbtaa arbtaa arbata arbaat
arabta arabat aratba aratab araatb araabt artaba artaab artbaa artbaa artaba
artaab araatb araabt aratab aratba arabta arabat aabart aabatr aabrat aabrta
aabtra aabtar aaabrt aaabtr aaarbt aaartb aaatrb aaatbr aarabt aaratb aarbat
aarbta aartba aartab aatarb aatabr aatrab aatrba aatbra aatbar batara bataar
batraa batraa batara bataar baatra baatar baarta baarat baaart baaatr barata
baraat bartaa bartaa barata baraat baaart baaatr baarat baarta baatra baatar
btaara btaaar btaraa btaraa btaara btaaar btaara btaaar btaraa btaraa btaara
btaaar btraaa btraaa btraaa btraaa btraaa btraaa btaara btaaar btaraa btaraa
btaara btaaar batara bataar batraa batraa batara bataar baatra baatar baarta
baarat baaart baaatr barata baraat bartaa bartaa barata baraat baaart baaatr
baarat baarta baatra baatar brtaaa brtaaa brtaaa brtaaa brtaaa brtaaa brataa
brataa braata braaat braaat braata braata braaat brataa brataa braata braaat
braaat braata braaat braata brataa brataa batara bataar batraa batraa batara
bataar baatra baatar baarta baarat baaart baaatr barata baraat bartaa bartaa
barata baraat baaart baaatr baarat baarta baatra baatar aabtra aabtar aabrta
aabrat aabart aabatr aatbra aatbar aatrba aatrab aatarb aatabr aartba aartab
aarbta aarbat aarabt aaratb aaatrb aaatbr aaartb aaarbt aaabrt aaabtr abatra
abatar abarta abarat abaart abaatr abtara abtaar abtraa abtraa abtara abtaar
abrtaa abrtaa abrata abraat abraat abrata abatra abatar abarta abarat abaart
abaatr atbara atbaar atbraa atbraa atbara atbaar atabra atabar atarba atarab
ataarb ataabr atraba atraab atrbaa atrbaa atraba atraab ataarb ataabr atarab
atarba atabra atabar arbtaa arbtaa arbata arbaat arbaat arbata artbaa artbaa
artaba artaab artaab artaba aratba aratab arabta arabat araabt araatb aratab
aratba araatb araabt arabat arabta aabtra aabtar aabrta aabrat aabart aabatr
aatbra aatbar aatrba aatrab aatarb aatabr aartba aartab aarbta aarbat aarabt
aaratb aaatrb aaatbr aaartb aaarbt aaabrt aaabtr rabata rabaat rabtaa rabtaa
rabata rabaat raabta raabat raatba raatab raaatb raaabt rataba rataab ratbaa
ratbaa rataba rataab raaatb raaabt raatab raatba raabta raabat rbaata rbaaat
rbataa rbataa rbaata rbaaat rbaata rbaaat rbataa rbataa rbaata rbaaat rbtaaa
rbtaaa rbtaaa rbtaaa rbtaaa rbtaaa rbaata rbaaat rbataa rbataa rbaata rbaaat
rabata rabaat rabtaa rabtaa rabata rabaat raabta raabat raatba raatab raaatb
raaabt rataba rataab ratbaa ratbaa rataba rataab raaatb raaabt raatab raatba
raabta raabat rtbaaa rtbaaa rtbaaa rtbaaa rtbaaa rtbaaa rtabaa rtabaa rtaaba
rtaaab rtaaab rtaaba rtaaba rtaaab rtabaa rtabaa rtaaba rtaaab rtaaab rtaaba
rtaaab rtaaba rtabaa rtabaa rabata rabaat rabtaa rabtaa rabata rabaat raabta
raabat raatba raatab raaatb raaabt rataba rataab ratbaa ratbaa rataba rataab
raaatb raaabt raatab raatba raabta raabat aabart aabatr aabrat aabrta aabtra
aabtar aaabrt aaabtr aaarbt aaartb aaatrb aaatbr aarabt aaratb aarbat aarbta
aartba aartab aatarb aatabr aatrab aatrba aatbra aatbar abaart abaatr abarat
abarta abatra abatar abaart abaatr abarat abarta abatra abatar abraat abrata
abraat abrata abrtaa abrtaa abtara abtaar abtraa abtraa abtara abtaar aabart
aabatr aabrat aabrta aabtra aabtar aaabrt aaabtr aaarbt aaartb aaatrb aaatbr
aarabt aaratb aarbat aarbta aartba aartab aatarb aatabr aatrab aatrba aatbra
aatbar arbaat arbata arbaat arbata arbtaa arbtaa arabat arabta araabt araatb
aratab aratba araabt araatb arabat arabta aratba aratab artaab artaba artaab
artaba artbaa artbaa atbara atbaar atbraa atbraa atbara atbaar atabra atabar
atarba atarab ataarb ataabr atraba atraab atrbaa atrbaa atraba atraab ataarb
ataabr atarab atarba atabra atabar

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

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