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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: amrani
cipher variations:
bnsboj cotcpk dpudql eqverm frwfsn
gsxgto htyhup iuzivq jvajwr kwbkxs
lxclyt mydmzu nzenav oafobw pbgpcx
qchqdy rdirez sejsfa tfktgb ugluhc
vhmvid winwje xjoxkf ykpylg zlqzmh

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: amrani
Cipher: znizmr

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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: amrani
Cipher: AAAAA ABABB BAAAA AAAAA ABBAA 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: amrani
cipher variations:
bnsbojblabozbjibopbhqbofbfybovbdgbolbzwborbxeboh
bvmboxbtubonbrcbodbpkbotcotcpkcmbcpackjcpqcircpg
cgzcpwcehcpmcaxcpscyfcpicwncpycuvcpocsdcpecqlcpu
dpudqldncdqbdlkdqrdjsdqhdhadqxdfidqndbydqtdzgdqj
dxodqzdvwdqpdtedqfdrmdqveqvermeodercemlersekteri
eiberyegjeroeczerueaherkeyperaewxerqeufergesnerw
frwfsnfpefsdfnmfstflufsjfjcfszfhkfspfdafsvfbifsl
fzqfsbfxyfsrfvgfshftofsxgsxgtogqfgtegongtugmvgtk
gkdgtagilgtqgebgtwgcjgtmgargtcgyzgtsgwhgtigupgty
htyhuphrghufhpohuvhnwhulhlehubhjmhurhfchuxhdkhun
hbshudhzahuthxihujhvqhuziuzivqishivgiqpivwioxivm
imfivciknivsigdivyielivoictiveiabivuiyjivkiwriva
jvajwrjtijwhjrqjwxjpyjwnjngjwdjlojwtjhejwzjfmjwp
jdujwfjbcjwvjzkjwljxsjwbkwbkxskujkxiksrkxykqzkxo
kohkxekmpkxukifkxakgnkxqkevkxgkcdkxwkalkxmkytkxc
lxclytlvklyjltslyzlralyplpilyflnqlyvljglyblholyr
lfwlyhldelyxlbmlynlzulydmydmzumwlmzkmutmzamsbmzq
mqjmzgmormzwmkhmzcmipmzsmgxmzimefmzymcnmzomavmze
nzenavnxmnalnvunabntcnarnrknahnpsnaxnlinadnjqnat
nhynajnfgnazndonapnbwnafoafobwoynobmowvobcoudobs
oslobioqtobyomjobeokrobuoizobkoghobaoepobqocxobg
pbgpcxpzopcnpxwpcdpvepctptmpcjprupczpnkpcfplspcv
pjapclphipcbpfqpcrpdypchqchqdyqapqdoqyxqdeqwfqdu
qunqdkqsvqdaqolqdgqmtqdwqkbqdmqijqdcqgrqdsqezqdi
rdirezrbqreprzyrefrxgrevrvorelrtwrebrpmrehrnurex
rlcrenrjkredrhsretrfarejsejsfascrsfqsazsfgsyhsfw
swpsfmsuxsfcsqnsfisovsfysmdsfosklsfesitsfusgbsfk
tfktgbtdstgrtbatghtzitgxtxqtgntvytgdtrotgjtpwtgz
tnetgptlmtgftjutgvthctglugluhcuetuhsucbuhiuajuhy
uyruhouwzuheuspuhkuqxuhauofuhqumnuhgukvuhwuiduhm
vhmvidvfuvitvdcvijvbkvizvzsvipvxavifvtqvilvryvib
vpgvirvnovihvlwvixvjevinwinwjewgvwjuwedwjkwclwja
watwjqwybwjgwurwjmwszwjcwqhwjswopwjiwmxwjywkfwjo
xjoxkfxhwxkvxfexklxdmxkbxbuxkrxzcxkhxvsxknxtaxkd
xrixktxpqxkjxnyxkzxlgxkpykpylgyixylwygfylmyenylc
ycvylsyadyliywtyloyubyleysjyluyqrylkyozylaymhylq
zlqzmhzjyzmxzhgzmnzfozmdzdwzmtzbezmjzxuzmpzvczmf
ztkzmvzrszmlzpazmbznizmramraniakzanyaihanoagpane
aexanuacfankayvanqawdangaulanwastanmaqbancaojans

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: amrani
Cipher: nzenav

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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: amrani
Cipher: 112324113342

Extended Methods:
Method #1

Plaintext: amrani
method variations:
frwfsolwblxtqbgqcyvgmvhd

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a m r a n i 
1 2 2 1 3 4 
1 3 4 1 3 2 
They are then read out in rows:
122134134132
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: amrani
Cipher: fbsldh

Read more ...
Method #3

Plaintext: amrani
method variations:
fhdlsb hdlsbf dlsbfh
lsbfhd sbfhdl bfhdls

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: amrani

all 720 cipher variations:
amrani amrain amrnai amrnia amrina amrian amarni amarin amanri amanir amainr
amairn amnari amnair amnrai amnria amnira amniar amianr amiarn aminar aminra
amirna amiran armani armain armnai armnia armina armian aramni aramin aranmi
aranim arainm araimn arnami arnaim arnmai arnmia arnima arniam arianm ariamn
arinam arinma arimna ariman aarmni aarmin aarnmi aarnim aarinm aarimn aamrni
aamrin aamnri aamnir aaminr aamirn aanmri aanmir aanrmi aanrim aanirm aanimr
aaimnr aaimrn aainmr aainrm aairnm aairmn anrami anraim anrmai anrmia anrima
anriam anarmi anarim anamri anamir anaimr anairm anmari anmair anmrai anmria
anmira anmiar aniamr aniarm animar animra anirma aniram airanm airamn airnam
airnma airmna airman aiarnm aiarmn aianrm aianmr aiamnr aiamrn ainarm ainamr
ainram ainrma ainmra ainmar aimanr aimarn aimnar aimnra aimrna aimran marani
marain marnai marnia marina marian maarni maarin maanri maanir maainr maairn
manari manair manrai manria manira maniar maianr maiarn mainar mainra mairna
mairan mraani mraain mranai mrania mraina mraian mraani mraain mranai mrania
mraina mraian mrnaai mrnaia mrnaai mrnaia mrniaa mrniaa mriana mriaan mrinaa
mrinaa mriana mriaan marani marain marnai marnia marina marian maarni maarin
maanri maanir maainr maairn manari manair manrai manria manira maniar maianr
maiarn mainar mainra mairna mairan mnraai mnraia mnraai mnraia mnriaa mnriaa
mnarai mnaria mnaari mnaair mnaiar mnaira mnaari mnaair mnarai mnaria mnaira
mnaiar mniaar mniara mniaar mniara mniraa mniraa mirana miraan mirnaa mirnaa
mirana miraan miarna miaran mianra mianar miaanr miaarn minara minaar minraa
minraa minara minaar miaanr miaarn mianar mianra miarna miaran rmaani rmaain
rmanai rmania rmaina rmaian rmaani rmaain rmanai rmania rmaina rmaian rmnaai
rmnaia rmnaai rmnaia rmniaa rmniaa rmiana rmiaan rminaa rminaa rmiana rmiaan
ramani ramain ramnai ramnia ramina ramian raamni raamin raanmi raanim raainm
raaimn ranami ranaim ranmai ranmia ranima raniam raianm raiamn rainam rainma
raimna raiman raamni raamin raanmi raanim raainm raaimn ramani ramain ramnai
ramnia ramina ramian ranmai ranmia ranami ranaim raniam ranima raimna raiman
rainma rainam raianm raiamn rnaami rnaaim rnamai rnamia rnaima rnaiam rnaami
rnaaim rnamai rnamia rnaima rnaiam rnmaai rnmaia rnmaai rnmaia rnmiaa rnmiaa
rniama rniaam rnimaa rnimaa rniama rniaam riaanm riaamn rianam rianma riamna
riaman riaanm riaamn rianam rianma riamna riaman rinaam rinama rinaam rinama
rinmaa rinmaa rimana rimaan rimnaa rimnaa rimana rimaan amrani amrain amrnai
amrnia amrina amrian amarni amarin amanri amanir amainr amairn amnari amnair
amnrai amnria amnira amniar amianr amiarn aminar aminra amirna amiran armani
armain armnai armnia armina armian aramni aramin aranmi aranim arainm araimn
arnami arnaim arnmai arnmia arnima arniam arianm ariamn arinam arinma arimna
ariman aarmni aarmin aarnmi aarnim aarinm aarimn aamrni aamrin aamnri aamnir
aaminr aamirn aanmri aanmir aanrmi aanrim aanirm aanimr aaimnr aaimrn aainmr
aainrm aairnm aairmn anrami anraim anrmai anrmia anrima anriam anarmi anarim
anamri anamir anaimr anairm anmari anmair anmrai anmria anmira anmiar aniamr
aniarm animar animra anirma aniram airanm airamn airnam airnma airmna airman
aiarnm aiarmn aianrm aianmr aiamnr aiamrn ainarm ainamr ainram ainrma ainmra
ainmar aimanr aimarn aimnar aimnra aimrna aimran nmraai nmraia nmraai nmraia
nmriaa nmriaa nmarai nmaria nmaari nmaair nmaiar nmaira nmaari nmaair nmarai
nmaria nmaira nmaiar nmiaar nmiara nmiaar nmiara nmiraa nmiraa nrmaai nrmaia
nrmaai nrmaia nrmiaa nrmiaa nramai nramia nraami nraaim nraiam nraima nraami
nraaim nramai nramia nraima nraiam nriaam nriama nriaam nriama nrimaa nrimaa
narmai narmia narami naraim nariam narima namrai namria namari namair namiar
namira naamri naamir naarmi naarim naairm naaimr naimar naimra naiamr naiarm
nairam nairma narami naraim narmai narmia narima nariam naarmi naarim naamri
naamir naaimr naairm namari namair namrai namria namira namiar naiamr naiarm
naimar naimra nairma nairam niraam nirama niraam nirama nirmaa nirmaa niaram
niarma niaarm niaamr niamar niamra niaarm niaamr niaram niarma niamra niamar
nimaar nimara nimaar nimara nimraa nimraa imrana imraan imrnaa imrnaa imrana
imraan imarna imaran imanra imanar imaanr imaarn imnara imnaar imnraa imnraa
imnara imnaar imaanr imaarn imanar imanra imarna imaran irmana irmaan irmnaa
irmnaa irmana irmaan iramna iraman iranma iranam iraanm iraamn irnama irnaam
irnmaa irnmaa irnama irnaam iraanm iraamn iranam iranma iramna iraman iarmna
iarman iarnma iarnam iaranm iaramn iamrna iamran iamnra iamnar iamanr iamarn
ianmra ianmar ianrma ianram ianarm ianamr iaamnr iaamrn iaanmr iaanrm iaarnm
iaarmn inrama inraam inrmaa inrmaa inrama inraam inarma inaram inamra inamar
inaamr inaarm inmara inmaar inmraa inmraa inmara inmaar inaamr inaarm inamar
inamra inarma inaram iaranm iaramn iarnam iarnma iarmna iarman iaarnm iaarmn
iaanrm iaanmr iaamnr iaamrn ianarm ianamr ianram ianrma ianmra ianmar iamanr
iamarn iamnar iamnra iamrna iamran

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