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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: decane
cipher variations:
efdbof fgecpg ghfdqh higeri ijhfsj
jkigtk kljhul lmkivm mnljwn nomkxo
opnlyp pqomzq qrpnar rsqobs strpct
tusqdu uvtrev vwusfw wxvtgx xywuhy
yzxviz zaywja abzxkb bcaylc cdbzmd

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: decane
Cipher: wvxzmv

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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: decane
Cipher: AAABB AABAA AAABA AAAAA ABBAA AABAA

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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: decane
cipher variations:
efdbofknhbonqvlbovwdpbodcltbolitxbotujfbojarjbor
gznbozmhrbohspvbopyxzboxfgecpgloicporwmcpwxeqcpe
dmucpmjuycpuvkgcpkbskcpshaocpaniscpitqwcpqzyacpy
ghfdqhmpjdqpsxndqxyfrdqfenvdqnkvzdqvwlhdqlctldqt
ibpdqbojtdqjurxdqrazbdqzhigerinqkerqtyoeryzgserg
fowerolwaerwxmiermdumerujcqercpkuerkvsyersbacera
ijhfsjorlfsruzpfszahtfshgpxfspmxbfsxynjfsnevnfsv
kdrfsdqlvfslwtzfstcbdfsbjkigtkpsmgtsvaqgtabiugti
hqygtqnycgtyzokgtofwogtwlesgtermwgtmxuagtudcegtc
kljhulqtnhutwbrhubcjvhujirzhurozdhuzaplhupgxphux
mfthufsnxhunyvbhuvedfhudlmkivmruoivuxcsivcdkwivk
jsaivspaeivabqmivqhyqivynguivgtoyivozwcivwfegive
mnljwnsvpjwvydtjwdelxjwlktbjwtqbfjwbcrnjwrizrjwz
ohvjwhupzjwpaxdjwxgfhjwfnomkxotwqkxwzeukxefmykxm
luckxurcgkxcdsokxsjaskxapiwkxivqakxqbyekxyhgikxg
opnlypuxrlyxafvlyfgnzlynmvdlyvsdhlydetplytkbtlyb
qjxlyjwrblyrczflyzihjlyhpqomzqvysmzybgwmzghoamzo
nwemzwteimzefuqmzulcumzcrkymzkxscmzsdagmzajikmzi
qrpnarwztnazchxnahipbnapoxfnaxufjnafgvrnavmdvnad
slznalytdnatebhnabkjlnajrsqobsxauobadiyobijqcobq
pygobyvgkobghwsobwnewobetmaobmzueobufciobclkmobk
strpctybvpcbejzpcjkrdpcrqzhpczwhlpchixtpcxofxpcf
unbpcnavfpcvgdjpcdmlnpcltusqduzcwqdcfkaqdklseqds
raiqdaximqdijyuqdypgyqdgvocqdobwgqdwhekqdenmoqdm
uvtrevadxredglbrelmtfretsbjrebyjnrejkzvrezqhzreh
wpdrepcxhrexiflrefonprenvwusfwbeysfehmcsfmnugsfu
tcksfczkosfklawsfariasfixqesfqdyisfyjgmsfgpoqsfo
wxvtgxcfztgfindtgnovhtgvudltgdalptglmbxtgbsjbtgj
yrftgrezjtgzkhntghqprtgpxywuhydgauhgjoeuhopwiuhw
vemuhebmquhmncyuhctkcuhkzsguhsfakuhaliouhirqsuhq
yzxvizehbvihkpfvipqxjvixwfnvifcnrvinodzviduldvil
athvitgblvibmjpvijsrtvirzaywjaficwjilqgwjqrykwjy
xgowjgdoswjopeawjevmewjmbuiwjuhcmwjcnkqwjktsuwjs
abzxkbgjdxkjmrhxkrszlxkzyhpxkheptxkpqfbxkfwnfxkn
cvjxkvidnxkdolrxklutvxktbcaylchkeylknsiylstamyla
ziqylifquylqrgcylgxogylodwkylwjeoylepmsylmvuwylu
cdbzmdilfzmlotjzmtubnzmbajrzmjgrvzmrshdzmhyphzmp
exlzmxkfpzmfqntzmnwvxzmvdecanejmganmpukanuvcoanc
bksankhswanstieanizqianqfymanylgqangrouanoxwyanw

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: decane
Cipher: qrpnar

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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: decane
Cipher: 415131113351

Extended Methods:
Method #1

Plaintext: decane
method variations:
ikhfskopnlxptusqcuyzxvhz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d e c a n e 
4 5 3 1 3 5 
1 1 1 1 3 1 
They are then read out in rows:
453135111131
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: decane
Cipher: ycxaac

Read more ...
Method #3

Plaintext: decane
method variations:
vlalxq lalxqv alxqvl
lxqvla xqvlal qvlalx

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: decane

all 720 cipher variations:
decane decaen decnae decnea decena decean deacne deacen deance deanec deaenc
deaecn denace denaec dencae dencea deneca deneac deeanc deeacn deenac deenca
deecna deecan dceane dceaen dcenae dcenea dceena dceean dcaene dcaeen dcanee
dcanee dcaene dcaeen dcnaee dcnaee dcneae dcneea dcneea dcneae dceane dceaen
dcenae dcenea dceena dceean dacene daceen dacnee dacnee dacene daceen daecne
daecen daence daenec daeenc daeecn danece daneec dancee dancee danece daneec
daeenc daeecn daenec daence daecne daecen dncaee dncaee dnceae dnceea dnceea
dnceae dnacee dnacee dnaece dnaeec dnaeec dnaece dneace dneaec dnecae dnecea
dneeca dneeac dneaec dneace dneeac dneeca dnecea dnecae decane decaen decnae
decnea decena decean deacne deacen deance deanec deaenc deaecn denace denaec
dencae dencea deneca deneac deeanc deeacn deenac deenca deecna deecan edcane
edcaen edcnae edcnea edcena edcean edacne edacen edance edanec edaenc edaecn
ednace ednaec edncae edncea edneca edneac edeanc edeacn edenac edenca edecna
edecan ecdane ecdaen ecdnae ecdnea ecdena ecdean ecadne ecaden ecande ecaned
ecaend ecaedn ecnade ecnaed ecndae ecndea ecneda ecnead eceand eceadn ecenad
ecenda ecedna ecedan eacdne eacden eacnde eacned eacend eacedn eadcne eadcen
eadnce eadnec eadenc eadecn eandce eandec eancde eanced eanecd eanedc eaednc
eaedcn eaendc eaencd eaecnd eaecdn encade encaed encdae encdea enceda encead
enacde enaced enadce enadec enaedc enaecd endace endaec endcae endcea endeca
endeac eneadc eneacd enedac enedca enecda enecad eecand eecadn eecnad eecnda
eecdna eecdan eeacnd eeacdn eeancd eeandc eeadnc eeadcn eenacd eenadc eencad
eencda eendca eendac eedanc eedacn eednac eednca eedcna eedcan cedane cedaen
cednae cednea cedena cedean ceadne ceaden ceande ceaned ceaend ceaedn cenade
cenaed cendae cendea ceneda cenead ceeand ceeadn ceenad ceenda ceedna ceedan
cdeane cdeaen cdenae cdenea cdeena cdeean cdaene cdaeen cdanee cdanee cdaene
cdaeen cdnaee cdnaee cdneae cdneea cdneea cdneae cdeane cdeaen cdenae cdenea
cdeena cdeean cadene cadeen cadnee cadnee cadene cadeen caedne caeden caende
caened caeend caeedn canede caneed candee candee canede caneed caeend caeedn
caened caende caedne caeden cndaee cndaee cndeae cndeea cndeea cndeae cnadee
cnadee cnaede cnaeed cnaeed cnaede cneade cneaed cnedae cnedea cneeda cneead
cneaed cneade cneead cneeda cnedea cnedae cedane cedaen cednae cednea cedena
cedean ceadne ceaden ceande ceaned ceaend ceaedn cenade cenaed cendae cendea
ceneda cenead ceeand ceeadn ceenad ceenda ceedna ceedan aecdne aecden aecnde
aecned aecend aecedn aedcne aedcen aednce aednec aedenc aedecn aendce aendec
aencde aenced aenecd aenedc aeednc aeedcn aeendc aeencd aeecnd aeecdn acedne
aceden acende acened aceend aceedn acdene acdeen acdnee acdnee acdene acdeen
acndee acndee acnede acneed acneed acnede acedne aceden acende acened aceend
aceedn adcene adceen adcnee adcnee adcene adceen adecne adecen adence adenec
adeenc adeecn adnece adneec adncee adncee adnece adneec adeenc adeecn adenec
adence adecne adecen ancdee ancdee ancede anceed anceed ancede andcee andcee
andece andeec andeec andece anedce anedec anecde aneced aneecd aneedc anedec
anedce aneedc aneecd aneced anecde aecdne aecden aecnde aecned aecend aecedn
aedcne aedcen aednce aednec aedenc aedecn aendce aendec aencde aenced aenecd
aenedc aeednc aeedcn aeendc aeencd aeecnd aeecdn necade necaed necdae necdea
neceda necead neacde neaced neadce neadec neaedc neaecd nedace nedaec nedcae
nedcea nedeca nedeac neeadc neeacd needac needca neecda neecad nceade nceaed
ncedae ncedea nceeda nceead ncaede ncaeed ncadee ncadee ncaede ncaeed ncdaee
ncdaee ncdeae ncdeea ncdeea ncdeae nceade nceaed ncedae ncedea nceeda nceead
nacede naceed nacdee nacdee nacede naceed naecde naeced naedce naedec naeedc
naeecd nadece nadeec nadcee nadcee nadece nadeec naeedc naeecd naedec naedce
naecde naeced ndcaee ndcaee ndceae ndceea ndceea ndceae ndacee ndacee ndaece
ndaeec ndaeec ndaece ndeace ndeaec ndecae ndecea ndeeca ndeeac ndeaec ndeace
ndeeac ndeeca ndecea ndecae necade necaed necdae necdea neceda necead neacde
neaced neadce neadec neaedc neaecd nedace nedaec nedcae nedcea nedeca nedeac
neeadc neeacd needac needca neecda neecad eecand eecadn eecnad eecnda eecdna
eecdan eeacnd eeacdn eeancd eeandc eeadnc eeadcn eenacd eenadc eencad eencda
eendca eendac eedanc eedacn eednac eednca eedcna eedcan eceand eceadn ecenad
ecenda ecedna ecedan ecaend ecaedn ecaned ecande ecadne ecaden ecnaed ecnade
ecnead ecneda ecndea ecndae ecdane ecdaen ecdnae ecdnea ecdena ecdean eacend
eacedn eacned eacnde eacdne eacden eaecnd eaecdn eaencd eaendc eaednc eaedcn
eanecd eanedc eanced eancde eandce eandec eadenc eadecn eadnec eadnce eadcne
eadcen encaed encade encead enceda encdea encdae enaced enacde enaecd enaedc
enadec enadce eneacd eneadc enecad enecda enedca enedac endaec endace endeac
endeca endcea endcae edcane edcaen edcnae edcnea edcena edcean edacne edacen
edance edanec edaenc edaecn ednace ednaec edncae edncea edneca edneac edeanc
edeacn edenac edenca edecna edecan

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