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unadded

medicomania

juneflower

soundzs

timuerimus

unreal

evagor

echoic

maurella

trimodality

rsunw

ruodlieb

doryan

delectaeque

firshman

soothsaid

debus

haruspicum


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: ordior
cipher variations:
psejps qtfkqt ruglru svhmsv twintw
uxjoux vykpvy wzlqwz xamrxa ybnsyb
zcotzc adpuad beqvbe cfrwcf dgsxdg
ehtyeh fiuzfi gjvagj hkwbhk ilxcil
jmydjm knzekn loaflo mpbgmp nqchnq

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: ordior
Cipher: liwrli

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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: ordior
Cipher: ABBAB BAAAA AAABB ABAAA ABBAB BAAAA

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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: ordior
cipher variations:
psejpsrakzratiqptivqwfvqxycvxyzgilzgdwurdwfeahfe
hmgxhmjumnjulcsdlcnkytnkqtfkqtsblasbujrqujwrxgwr
yzdwyzahjmahexvsexgfbigfinhyinkvnokvmdtemdolzuol
ruglrutcmbtcvksrvkxsyhxszaexzabiknbifywtfyhgcjhg
joizjolwoplwneufnepmavpmsvhmsvudncudwltswlytziyt
abfyabcjlocjgzxugzihdkihkpjakpmxpqmxofvgofqnbwqn
twintwveodvexmutxmzuajzubcgzbcdkmpdkhayvhajielji
lqkblqnyqrnypgwhpgrocxrouxjouxwfpewfynvuynavbkav
cdhacdelnqelibzwibkjfmkjmrlcmrozrsozqhxiqhspdysp
vykpvyxgqfxgzowvzobwclbwdeibdefmorfmjcaxjclkgnlk
nsmdnspastpariyjritqeztqwzlqwzyhrgyhapxwapcxdmcx
efjcefgnpsgnkdbykdmlhomlotneotqbtuqbsjzksjurfaur
xamrxazishzibqyxbqdyendyfgkdfghoqtholeczlenmipnm
puofpurcuvrctkaltkvsgbvsybnsybajtiajcrzycrezfoez
ghleghipruipmfdamfonjqonqvpgqvsdvwsdulbmulwthcwt
zcotzcbkujbkdsazdsfagpfahimfhijqsvjqngebngpokrpo
rwqhrwtewxtevmcnvmxuidxuadpuadclvkcletbaetgbhqgb
ijngijkrtwkrohfcohqplsqpsxrisxufxyufwndownyvjeyv
beqvbedmwldmfucbfuhcirhcjkohjklsuxlspigdpirqmtrq
tysjtyvgyzvgxoepxozwkfzwcfrwcfenxmengvdcgvidjsid
klpiklmtvymtqjheqjsrnusruztkuzwhzawhypfqypaxlgax
dgsxdgfoynfohwedhwjektjelmqjlmnuwznurkifrktsovts
vaulvaxiabxizqgrzqbymhbyehtyehgpzogpixfeixkflukf
mnrkmnovxaovsljgslutpwutwbvmwbyjbcyjarhsarcznicz
fiuzfihqaphqjygfjylgmvlgnoslnopwybpwtmkhtmvuqxvu
xcwnxczkcdzkbsitbsdaojdagjvagjirbqirkzhgkzmhnwmh
optmopqxzcqxunliunwvrywvydxoydaldealctjuctebpkeb
hkwbhkjscrjslaihlanioxnipqunpqryadryvomjvoxwszxw
zeypzebmefbmdukvdufcqlfcilxcilktdsktmbjimbojpyoj
qrvoqrszbeszwpnkwpyxtayxafzqafcnfgcnevlwevgdrmgd
jmydjmluetlunckjncpkqzpkrswprstacftaxqolxqzyubzy
bgarbgdoghdofwmxfwhesnheknzeknmvfumvodlkodqlraql
stxqstubdgubyrpmyrazvcazchbschephiepgxnygxiftoif
loaflonwgvnwpemlpermsbrmtuyrtuvcehvczsqnzsbawdba
dictdifqijfqhyozhyjgupjgmpbgmpoxhwoxqfnmqfsntcsn
uvzsuvwdfiwdatroatcbxecbejduejgrjkgrizpaizkhvqkh
nqchnqpyixpyrgonrgtoudtovwatvwxegjxebuspbudcyfdc
fkevfkhsklhsjaqbjaliwrliordiorqzjyqzshposhupveup
wxbuwxyfhkyfcvtqcvedzgedglfwglitlmitkbrckbmjxsmj

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: ordior
Cipher: beqvbe

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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: ordior
Cipher: 432441424324

Extended Methods:
Method #1

Plaintext: ordior
method variations:
twiotwybotybdgtydgimydim

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
o r d i o r 
4 2 4 4 4 2 
3 4 1 2 3 4 
They are then read out in rows:
424442341234
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: ordior
Cipher: itisfs

Read more ...
Method #3

Plaintext: ordior
method variations:
htqrht tqrhth qrhtht
rhthtq hthtqr thtqrh

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: ordior

all 720 cipher variations:
ordior ordiro ordoir ordori ordroi ordrio oridor oridro oriodr oriord orirod
orirdo oroidr oroird orodir orodri orordi ororid orriod orrido orroid orrodi
orrdoi orrdio odrior odriro odroir odrori odrroi odrrio odiror odirro odiorr
odiorr odiror odirro odoirr odoirr odorir odorri odorri odorir odrior odriro
odroir odrori odrroi odrrio oidror oidrro oidorr oidorr oidror oidrro oirdor
oirdro oirodr oirord oirrod oirrdo oiordr oiorrd oiodrr oiodrr oiordr oiorrd
oirrod oirrdo oirord oirodr oirdor oirdro oodirr oodirr oodrir oodrri oodrri
oodrir ooidrr ooidrr ooirdr ooirrd ooirrd ooirdr ooridr oorird oordir oordri
oorrdi oorrid oorird ooridr oorrid oorrdi oordri oordir ordior ordiro ordoir
ordori ordroi ordrio oridor oridro oriodr oriord orirod orirdo oroidr oroird
orodir orodri orordi ororid orriod orrido orroid orrodi orrdoi orrdio rodior
rodiro rodoir rodori rodroi rodrio roidor roidro roiodr roiord roirod roirdo
rooidr rooird roodir roodri roordi roorid roriod rorido roroid rorodi rordoi
rordio rdoior rdoiro rdooir rdoori rdoroi rdorio rdioor rdioro rdioor rdioro
rdiroo rdiroo rdoior rdoiro rdooir rdoori rdoroi rdorio rdrioo rdrioo rdroio
rdrooi rdrooi rdroio ridoor ridoro ridoor ridoro ridroo ridroo riodor riodro
rioodr rioord riorod riordo rioodr rioord riodor riodro riordo riorod rirood
rirodo rirood rirodo rirdoo rirdoo rodior rodiro rodoir rodori rodroi rodrio
roidor roidro roiodr roiord roirod roirdo rooidr rooird roodir roodri roordi
roorid roriod rorido roroid rorodi rordoi rordio rrdioo rrdioo rrdoio rrdooi
rrdooi rrdoio rridoo rridoo rriodo rriood rriood rriodo rroido rroiod rrodio
rrodoi rroodi rrooid rroiod rroido rrooid rroodi rrodoi rrodio droior droiro
drooir droori droroi drorio drioor drioro drioor drioro driroo driroo droior
droiro drooir droori droroi drorio drrioo drrioo drroio drrooi drrooi drroio
dorior doriro doroir dorori dorroi dorrio doiror doirro doiorr doiorr doiror
doirro dooirr dooirr doorir doorri doorri doorir dorior doriro doroir dorori
dorroi dorrio dioror diorro dioorr dioorr dioror diorro diroor diroro diroor
diroro dirroo dirroo dioror diorro dioorr dioorr dioror diorro dirroo dirroo
diroro diroor diroor diroro dooirr dooirr doorir doorri doorri doorir doiorr
doiorr doiror doirro doirro doiror dorior doriro doroir dorori dorroi dorrio
doriro dorior dorrio dorroi dorori doroir droior droiro drooir droori droroi
drorio drioor drioro drioor drioro driroo driroo droior droiro drooir droori
droroi drorio drrioo drrioo drroio drrooi drrooi drroio irdoor irdoro irdoor
irdoro irdroo irdroo irodor irodro iroodr iroord irorod irordo iroodr iroord
irodor irodro irordo irorod irrood irrodo irrood irrodo irrdoo irrdoo idroor
idroro idroor idroro idrroo idrroo idoror idorro idoorr idoorr idoror idorro
idoorr idoorr idoror idorro idorro idoror idroor idroro idroor idroro idrroo
idrroo iodror iodrro iodorr iodorr iodror iodrro iordor iordro iorodr iorord
iorrod iorrdo ioordr ioorrd ioodrr ioodrr ioordr ioorrd iorrod iorrdo iorord
iorodr iordor iordro iodorr iodorr iodror iodrro iodrro iodror ioodrr ioodrr
ioordr ioorrd ioorrd ioordr iorodr iorord iordor iordro iorrdo iorrod iorord
iorodr iorrod iorrdo iordro iordor irdoor irdoro irdoor irdoro irdroo irdroo
irodor irodro iroodr iroord irorod irordo iroodr iroord irodor irodro irordo
irorod irrood irrodo irrood irrodo irrdoo irrdoo ordior ordiro ordoir ordori
ordroi ordrio oridor oridro oriodr oriord orirod orirdo oroidr oroird orodir
orodri orordi ororid orriod orrido orroid orrodi orrdoi orrdio odrior odriro
odroir odrori odrroi odrrio odiror odirro odiorr odiorr odiror odirro odoirr
odoirr odorir odorri odorri odorir odrior odriro odroir odrori odrroi odrrio
oidror oidrro oidorr oidorr oidror oidrro oirdor oirdro oirodr oirord oirrod
oirrdo oiordr oiorrd oiodrr oiodrr oiordr oiorrd oirrod oirrdo oirord oirodr
oirdor oirdro oodirr oodirr oodrir oodrri oodrri oodrir ooidrr ooidrr ooirdr
ooirrd ooirrd ooirdr ooridr oorird oordir oordri oorrdi oorrid oorird ooridr
oorrid oorrdi oordri oordir ordior ordiro ordoir ordori ordroi ordrio oridor
oridro oriodr oriord orirod orirdo oroidr oroird orodir orodri orordi ororid
orriod orrido orroid orrodi orrdoi orrdio rrdioo rrdioo rrdoio rrdooi rrdooi
rrdoio rridoo rridoo rriodo rriood rriood rriodo rroido rroiod rrodio rrodoi
rroodi rrooid rroiod rroido rrooid rroodi rrodoi rrodio rdrioo rdrioo rdroio
rdrooi rdrooi rdroio rdiroo rdiroo rdioro rdioor rdioor rdioro rdoiro rdoior
rdorio rdoroi rdoori rdooir rdoior rdoiro rdooir rdoori rdoroi rdorio ridroo
ridroo ridoro ridoor ridoor ridoro rirdoo rirdoo rirodo rirood rirood rirodo
riordo riorod riodro riodor rioodr rioord riorod riordo rioord rioodr riodor
riodro rodiro rodior rodrio rodroi rodori rodoir roidro roidor roirdo roirod
roiord roiodr rorido roriod rordio rordoi rorodi roroid rooird rooidr roorid
roordi roodri roodir rodior rodiro rodoir rodori rodroi rodrio roidor roidro
roiodr roiord roirod roirdo rooidr rooird roodir roodri roordi roorid roriod
rorido roroid rorodi rordoi rordio

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

History of cryptography
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