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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: adonai
cipher variations:
bepobj cfqpck dgrqdl ehsrem fitsfn
gjutgo hkvuhp ilwviq jmxwjr knyxks
lozylt mpazmu nqbanv orcbow psdcpx
qtedqy ruferz svgfsa twhgtb uxihuc
vyjivd wzkjwe xalkxf ybmlyg zcnmzh

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: adonai
Cipher: zwlmzr

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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: adonai
Cipher: AAAAA AAABB ABBAB ABBAA AAAAA 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: adonai
cipher variations:
bepobjbkrobzbqtobpbwvobfbcxobvbizoblbudobrbafobh
bghobxbmjobnbslobdbynobtcfqpckclspcacrupcqcxwpcg
cdypcwcjapcmcvepcscbgpcichipcycnkpcoctmpceczopcu
dgrqdldmtqdbdsvqdrdyxqdhdezqdxdkbqdndwfqdtdchqdj
dijqdzdolqdpdunqdfdapqdvehsremenurecetwresezyrei
efareyelcreoexgreuedirekejkreaepmreqevoregebqrew
fitsfnfovsfdfuxsftfazsfjfgbsfzfmdsfpfyhsfvfejsfl
fklsfbfqnsfrfwpsfhfcrsfxgjutgogpwtgegvytgugbatgk
ghctgagnetgqgzitgwgfktgmglmtgcgrotgsgxqtgigdstgy
hkvuhphqxuhfhwzuhvhcbuhlhiduhbhofuhrhajuhxhgluhn
hmnuhdhspuhthyruhjhetuhzilwviqiryvigixaviwidcvim
ijevicipgvisibkviyihmvioinovieitqviuizsvikifuvia
jmxwjrjszwjhjybwjxjedwjnjkfwjdjqhwjtjclwjzjinwjp
jopwjfjurwjvjatwjljgvwjbknyxksktaxkikzcxkykfexko
klgxkekrixkukdmxkakjoxkqkpqxkgkvsxkwkbuxkmkhwxkc
lozyltlubyljladylzlgfylplmhylflsjylvlenylblkpylr
lqrylhlwtylxlcvylnlixyldmpazmumvczmkmbezmamhgzmq
mnizmgmtkzmwmfozmcmlqzmsmrszmimxuzmymdwzmomjyzme
nqbanvnwdanlncfanbnihanrnojanhnulanxngpandnmrant
nstanjnyvanznexanpnkzanforcbowoxebomodgbocojibos
opkboiovmboyohqboeonsbouotubokozwboaofyboqolabog
psdcpxpyfcpnpehcpdpkjcptpqlcpjpwncpzpircpfpotcpv
puvcplpaxcpbpgzcprpmbcphqtedqyqzgdqoqfidqeqlkdqu
qrmdqkqxodqaqjsdqgqpudqwqvwdqmqbydqcqhadqsqncdqi
ruferzraherprgjerfrmlervrsnerlryperbrkterhrqverx
rwxernrczerdribertroderjsvgfsasbifsqshkfsgsnmfsw
stofsmszqfscslufsisrwfsysxyfsosdafsesjcfsuspefsk
twhgtbtcjgtrtilgthtongtxtupgtntargtdtmvgtjtsxgtz
tyzgtptebgtftkdgtvtqfgtluxihucudkhusujmhuiupohuy
uvqhuoubshueunwhukutyhuauzahuqufchugulehuwurghum
vyjivdvelivtvknivjvqpivzvwrivpvctivfvoxivlvuzivb
vabivrvgdivhvmfivxvshivnwzkjwewfmjwuwlojwkwrqjwa
wxsjwqwdujwgwpyjwmwvajwcwbcjwswhejwiwngjwywtijwo
xalkxfxgnkxvxmpkxlxsrkxbxytkxrxevkxhxqzkxnxwbkxd
xcdkxtxifkxjxohkxzxujkxpybmlygyholywynqlymytslyc
yzulysyfwlyiyralyoyxclyeydelyuyjglykypilyayvklyq
zcnmzhzipmzxzormznzutmzdzavmztzgxmzjzsbmzpzydmzf
zefmzvzkhmzlzqjmzbzwlmzradonaiajqnayapsnaoavunae
abwnauahynakatcnaqazenagafgnawalinamarknacaxmnas

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: adonai
Cipher: nqbanv

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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: adonai
Cipher: 114143331142

Extended Methods:
Method #1

Plaintext: adonai
method variations:
fitsfoloyxltqtdcqyvyihvd

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a d o n a i 
1 4 4 3 1 4 
1 1 3 3 1 2 
They are then read out in rows:
144314113312
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: adonai
Cipher: qoqanf

Read more ...
Method #3

Plaintext: adonai
method variations:
qqncqb qncqbq ncqbqq
cqbqqn qbqqnc bqqncq

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: adonai

all 720 cipher variations:
adonai adonia adoani adoain adoian adoina adnoai adnoia adnaoi adnaio adniao
adnioa adanoi adanio adaoni adaoin adaion adaino adinao adinoa adiano adiaon
adioan adiona aodnai aodnia aodani aodain aodian aodina aondai aondia aonadi
aonaid aoniad aonida aoandi aoanid aoadni aoadin aoaidn aoaind aoinad aoinda
aoiand aoiadn aoidan aoidna anodai anodia anoadi anoaid anoiad anoida andoai
andoia andaoi andaio andiao andioa anadoi anadio anaodi anaoid anaiod anaido
anidao anidoa aniado aniaod anioad anioda aaondi aaonid aaodni aaodin aaoidn
aaoind aanodi aanoid aandoi aandio aanido aaniod aadnoi aadnio aadoni aadoin
aadion aadino aaindo aainod aaidno aaidon aaiodn aaiond aionad aionda aioand
aioadn aiodan aiodna ainoad ainoda ainaod ainado aindao aindoa aianod aiando
aiaond aiaodn aiadon aiadno aidnao aidnoa aidano aidaon aidoan aidona daonai
daonia daoani daoain daoian daoina danoai danoia danaoi danaio daniao danioa
daanoi daanio daaoni daaoin daaion daaino dainao dainoa daiano daiaon daioan
daiona doanai doania doaani doaain doaian doaina donaai donaia donaai donaia
doniaa doniaa doanai doania doaani doaain doaian doaina doinaa doinaa doiana
doiaan doiaan doiana dnoaai dnoaia dnoaai dnoaia dnoiaa dnoiaa dnaoai dnaoia
dnaaoi dnaaio dnaiao dnaioa dnaaoi dnaaio dnaoai dnaoia dnaioa dnaiao dniaao
dniaoa dniaao dniaoa dnioaa dnioaa daonai daonia daoani daoain daoian daoina
danoai danoia danaoi danaio daniao danioa daanoi daanio daaoni daaoin daaion
daaino dainao dainoa daiano daiaon daioan daiona dionaa dionaa dioana dioaan
dioaan dioana dinoaa dinoaa dinaoa dinaao dinaao dinaoa dianoa dianao diaona
diaoan diaaon diaano dianao dianoa diaano diaaon diaoan diaona odanai odania
odaani odaain odaian odaina odnaai odnaia odnaai odnaia odniaa odniaa odanai
odania odaani odaain odaian odaina odinaa odinaa odiana odiaan odiaan odiana
oadnai oadnia oadani oadain oadian oadina oandai oandia oanadi oanaid oaniad
oanida oaandi oaanid oaadni oaadin oaaidn oaaind oainad oainda oaiand oaiadn
oaidan oaidna onadai onadia onaadi onaaid onaiad onaida ondaai ondaia ondaai
ondaia ondiaa ondiaa onadai onadia onaadi onaaid onaiad onaida onidaa onidaa
oniada oniaad oniaad oniada oaandi oaanid oaadni oaadin oaaidn oaaind oanadi
oanaid oandai oandia oanida oaniad oadnai oadnia oadani oadain oadian oadina
oainda oainad oaidna oaidan oaiadn oaiand oianad oianda oiaand oiaadn oiadan
oiadna oinaad oinada oinaad oinada oindaa oindaa oianad oianda oiaand oiaadn
oiadan oiadna oidnaa oidnaa oidana oidaan oidaan oidana ndoaai ndoaia ndoaai
ndoaia ndoiaa ndoiaa ndaoai ndaoia ndaaoi ndaaio ndaiao ndaioa ndaaoi ndaaio
ndaoai ndaoia ndaioa ndaiao ndiaao ndiaoa ndiaao ndiaoa ndioaa ndioaa nodaai
nodaia nodaai nodaia nodiaa nodiaa noadai noadia noaadi noaaid noaiad noaida
noaadi noaaid noadai noadia noaida noaiad noiaad noiada noiaad noiada noidaa
noidaa naodai naodia naoadi naoaid naoiad naoida nadoai nadoia nadaoi nadaio
nadiao nadioa naadoi naadio naaodi naaoid naaiod naaido naidao naidoa naiado
naiaod naioad naioda naoadi naoaid naodai naodia naoida naoiad naaodi naaoid
naadoi naadio naaido naaiod nadaoi nadaio nadoai nadoia nadioa nadiao naiado
naiaod naidao naidoa naioda naioad nioaad nioada nioaad nioada niodaa niodaa
niaoad niaoda niaaod niaado niadao niadoa niaaod niaado niaoad niaoda niadoa
niadao nidaao nidaoa nidaao nidaoa nidoaa nidoaa adonai adonia adoani adoain
adoian adoina adnoai adnoia adnaoi adnaio adniao adnioa adanoi adanio adaoni
adaoin adaion adaino adinao adinoa adiano adiaon adioan adiona aodnai aodnia
aodani aodain aodian aodina aondai aondia aonadi aonaid aoniad aonida aoandi
aoanid aoadni aoadin aoaidn aoaind aoinad aoinda aoiand aoiadn aoidan aoidna
anodai anodia anoadi anoaid anoiad anoida andoai andoia andaoi andaio andiao
andioa anadoi anadio anaodi anaoid anaiod anaido anidao anidoa aniado aniaod
anioad anioda aaondi aaonid aaodni aaodin aaoidn aaoind aanodi aanoid aandoi
aandio aanido aaniod aadnoi aadnio aadoni aadoin aadion aadino aaindo aainod
aaidno aaidon aaiodn aaiond aionad aionda aioand aioadn aiodan aiodna ainoad
ainoda ainaod ainado aindao aindoa aianod aiando aiaond aiaodn aiadon aiadno
aidnao aidnoa aidano aidaon aidoan aidona idonaa idonaa idoana idoaan idoaan
idoana idnoaa idnoaa idnaoa idnaao idnaao idnaoa idanoa idanao idaona idaoan
idaaon idaano idanao idanoa idaano idaaon idaoan idaona iodnaa iodnaa iodana
iodaan iodaan iodana iondaa iondaa ionada ionaad ionaad ionada ioanda ioanad
ioadna ioadan ioaadn ioaand ioanad ioanda ioaand ioaadn ioadan ioadna inodaa
inodaa inoada inoaad inoaad inoada indoaa indoaa indaoa indaao indaao indaoa
inadoa inadao inaoda inaoad inaaod inaado inadao inadoa inaado inaaod inaoad
inaoda iaonda iaonad iaodna iaodan iaoadn iaoand ianoda ianoad iandoa iandao
ianado ianaod iadnoa iadnao iadona iadoan iadaon iadano iaando iaanod iaadno
iaadon iaaodn iaaond iaonad iaonda iaoand iaoadn iaodan iaodna ianoad ianoda
ianaod ianado iandao iandoa iaanod iaando iaaond iaaodn iaadon iaadno iadnao
iadnoa iadano iadaon iadoan iadona

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