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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: rapper
cipher variations:
sbqqfs tcrrgt udsshu vettiv wfuujw
xgvvkx yhwwly zixxmz ajyyna bkzzob
claapc dmbbqd enccre foddsf gpeetg
hqffuh irggvi jshhwj ktiixk lujjyl
mvkkzm nwllan oxmmbo pynncp qzoodq

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: rapper
Cipher: izkkvi

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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: rapper
Cipher: BAAAA AAAAA ABBBA ABBBA AABAA 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: rapper
cipher variations:
sbqqfsabuunaibyyviqbccdqybgglygbkktgwbssjwebwwre
mbaazmubeehucbiipckbmmxktcrrgtbcvvobjczzwjrcdder
zchhmzhclluhxcttkxfcxxsfncbbanvcffivdcjjqdlcnnyl
udsshucdwwpckdaaxksdeefsadiinaidmmviyduulygdyytg
odccbowdggjwedkkremdoozmvettivdexxqdlebbylteffgt
bejjobjennwjzevvmzhezzuhpeddcpxehhkxfellsfneppan
wfuujwefyyremfcczmufgghucfkkpckfooxkafwwnaifaavi
qfeedqyfiilygfmmtgofqqboxgvvkxfgzzsfngddanvghhiv
dgllqdlgppylbgxxobjgbbwjrgfferzgjjmzhgnnuhpgrrcp
yhwwlyghaatgoheebowhiijwehmmremhqqzmchyypckhccxk
shggfsahkknaihooviqhssdqzixxmzhibbuhpiffcpxijjkx
finnsfnirrandizzqdliddyltihhgtbillobjippwjritter
ajyynaijccviqjggdqyjkklygjootgojssboejaaremjeezm
ujiihucjmmpckjqqxksjuufsbkzzobjkddwjrkhherzkllmz
hkppuhpkttcpfkbbsfnkffanvkjjivdknnqdlkrryltkvvgt
claapckleexksliifsalmmnailqqviqluudqglcctgolggbo
wlkkjwelooremlsszmulwwhudmbbqdlmffyltmjjgtbmnnob
jmrrwjrmvverhmdduhpmhhcpxmllkxfmppsfnmttanvmxxiv
enccremnggzmunkkhucnoopcknssxksnwwfsineeviqniidq
ynmmlygnqqtgonuubownyyjwfoddsfnohhanvollivdoppqd
lottyltoxxgtjoffwjrojjerzonnmzhorruhpovvcpxozzkx
gpeetgopiibowpmmjwepqqrempuuzmupyyhukpggxkspkkfs
apoonaipssviqpwwdqypaalyhqffuhpqjjcpxqnnkxfqrrsf
nqvvanvqzzivlqhhyltqllgtbqppobjqttwjrqxxerzqbbmz
irggviqrkkdqyroolygrsstgorwwbowraajwmriizmurmmhu
crqqpckruuxksryyfsarccnajshhwjrsllerzsppmzhsttuh
psxxcpxsbbkxnsjjanvsnnivdsrrqdlsvvyltszzgtbsddob
ktiixkstmmfsatqqnaituuviqtyydqytcclyotkkbowtoojw
etssremtwwzmutaahucteepclujjyltunngtburrobjuvvwj
ruzzerzuddmzpullcpxuppkxfuttsfnuxxanvubbivduffqd
mvkkzmuvoohucvsspckvwwxksvaafsaveenaqvmmdqyvqqly
gvuutgovyybowvccjwevggrenwllanvwppivdwttqdlwxxyl
twbbgtbwffobrwnnerzwrrmzhwvvuhpwzzcpxwddkxfwhhsf
oxmmbowxqqjwexuuremxyyzmuxcchucxggpcsxoofsaxssna
ixwwviqxaadqyxeelygxiitgpynncpxyrrkxfyvvsfnyzzan
vyddivdyhhqdtyppgtbyttobjyxxwjrybberzyffmzhyjjuh
qzoodqyzsslygzwwtgozaabowzeejweziireuzqqhuczuupc
kzyyxkszccfsazggnaizkkvirapperzattmzhaxxuhpabbcp
xaffkxfajjsfvarrivdavvqdlazzyltaddgtbahhobjallwj

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: rapper
Cipher: enccre

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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: rapper
Cipher: 241153535124

Extended Methods:
Method #1

Plaintext: rapper
method variations:
wfuukwblzzpbgqeeugmvkkzm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
r a p p e r 
2 1 5 5 5 2 
4 1 3 3 1 4 
They are then read out in rows:
215552413314
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: rapper
Cipher: bzkdnq

Read more ...
Method #3

Plaintext: rapper
method variations:
dvxxfi vxxfid xxfidv
xfidvx fidvxx idvxxf

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: rapper

all 720 cipher variations:
rapper rappre rapepr raperp raprep raprpe rapper rappre rapepr raperp raprep
raprpe raeppr raeprp raeppr raeprp raerpp raerpp rarpep rarppe rarepp rarepp
rarpep rarppe rpaper rpapre rpaepr rpaerp rparep rparpe rppaer rppare rppear
rppera rpprea rpprae rpepar rpepra rpeapr rpearp rperap rperpa rprpea rprpae
rprepa rpreap rpraep rprape rppaer rppare rppear rppera rpprea rpprae rpaper
rpapre rpaepr rpaerp rparep rparpe rpeapr rpearp rpepar rpepra rperpa rperap
rpraep rprape rpreap rprepa rprpea rprpae reppar reppra repapr reparp reprap
reprpa reppar reppra repapr reparp reprap reprpa reappr reaprp reappr reaprp
rearpp rearpp rerpap rerppa rerapp rerapp rerpap rerppa rrppea rrppae rrpepa
rrpeap rrpaep rrpape rrppea rrppae rrpepa rrpeap rrpaep rrpape rreppa rrepap
rreppa rrepap rreapp rreapp rrapep rrappe rraepp rraepp rrapep rrappe arpper
arppre arpepr arperp arprep arprpe arpper arppre arpepr arperp arprep arprpe
areppr areprp areppr areprp arerpp arerpp arrpep arrppe arrepp arrepp arrpep
arrppe aprper aprpre aprepr aprerp aprrep aprrpe apprer apprre apperr apperr
apprer apprre apeprr apeprr aperpr aperrp aperrp aperpr aprper aprpre aprepr
aprerp aprrep aprrpe apprer apprre apperr apperr apprer apprre aprper aprpre
aprepr aprerp aprrep aprrpe aperpr aperrp apeprr apeprr aperpr aperrp aprrep
aprrpe aprerp aprepr aprper aprpre aepprr aepprr aeprpr aeprrp aeprrp aeprpr
aepprr aepprr aeprpr aeprrp aeprrp aeprpr aerppr aerprp aerppr aerprp aerrpp
aerrpp aerprp aerppr aerrpp aerrpp aerprp aerppr arpper arppre arpepr arperp
arprep arprpe arpper arppre arpepr arperp arprep arprpe areppr areprp areppr
areprp arerpp arerpp arrpep arrppe arrepp arrepp arrpep arrppe parper parpre
parepr parerp parrep parrpe paprer paprre paperr paperr paprer paprre paeprr
paeprr paerpr paerrp paerrp paerpr parper parpre parepr parerp parrep parrpe
praper prapre praepr praerp prarep prarpe prpaer prpare prpear prpera prprea
prprae prepar prepra preapr prearp prerap prerpa prrpea prrpae prrepa prreap
prraep prrape ppraer pprare pprear pprera pprrea pprrae pparer pparre ppaerr
ppaerr pparer pparre ppearr ppearr pperar pperra pperra pperar ppraer pprare
pprear pprera pprrea pprrae perpar perpra perapr perarp perrap perrpa peprar
peprra peparr peparr peprar peprra peaprr peaprr pearpr pearrp pearrp pearpr
perpar perpra perapr perarp perrap perrpa prrpea prrpae prrepa prreap prraep
prrape prprea prprae prpera prpear prpaer prpare prepra prepar prerpa prerap
prearp preapr praper prapre praepr praerp prarep prarpe paprer paprre paperr
paperr paprer paprre parper parpre parepr parerp parrep parrpe paerpr paerrp
paeprr paeprr paerpr paerrp parrep parrpe parerp parepr parper parpre pparer
pparre ppaerr ppaerr pparer pparre ppraer pprare pprear pprera pprrea pprrae
pperar pperra ppearr ppearr pperar pperra pprrea pprrae pprera pprear ppraer
pprare prpaer prpare prpear prpera prprea prprae praper prapre praepr praerp
prarep prarpe preapr prearp prepar prepra prerpa prerap prraep prrape prreap
prrepa prrpea prrpae peprar peprra peparr peparr peprar peprra perpar perpra
perapr perarp perrap perrpa pearpr pearrp peaprr peaprr pearpr pearrp perrap
perrpa perarp perapr perpar perpra prprea prprae prpera prpear prpaer prpare
prrpea prrpae prrepa prreap prraep prrape prerpa prerap prepra prepar preapr
prearp prarep prarpe praerp praepr praper prapre eapprr eapprr eaprpr eaprrp
eaprrp eaprpr eapprr eapprr eaprpr eaprrp eaprrp eaprpr earppr earprp earppr
earprp earrpp earrpp earprp earppr earrpp earrpp earprp earppr epaprr epaprr
eparpr eparrp eparrp eparpr epparr epparr epprar epprra epprra epprar eprpar
eprpra eprapr eprarp eprrap eprrpa eprpra eprpar eprrpa eprrap eprarp eprapr
epparr epparr epprar epprra epprra epprar epaprr epaprr eparpr eparrp eparrp
eparpr eprapr eprarp eprpar eprpra eprrpa eprrap eprarp eprapr eprrap eprrpa
eprpra eprpar erppar erppra erpapr erparp erprap erprpa erppar erppra erpapr
erparp erprap erprpa erappr eraprp erappr eraprp erarpp erarpp errpap errppa
errapp errapp errpap errppa erppra erppar erprpa erprap erparp erpapr erppra
erppar erprpa erprap erparp erpapr errppa errpap errppa errpap errapp errapp
eraprp erappr erarpp erarpp eraprp erappr rapper rappre rapepr raperp raprep
raprpe rapper rappre rapepr raperp raprep raprpe raeppr raeprp raeppr raeprp
raerpp raerpp rarpep rarppe rarepp rarepp rarpep rarppe rpaper rpapre rpaepr
rpaerp rparep rparpe rppaer rppare rppear rppera rpprea rpprae rpepar rpepra
rpeapr rpearp rperap rperpa rprpea rprpae rprepa rpreap rpraep rprape rppaer
rppare rppear rppera rpprea rpprae rpaper rpapre rpaepr rpaerp rparep rparpe
rpeapr rpearp rpepar rpepra rperpa rperap rpraep rprape rpreap rprepa rprpea
rprpae reppar reppra repapr reparp reprap reprpa reppar reppra repapr reparp
reprap reprpa reappr reaprp reappr reaprp rearpp rearpp rerpap rerppa rerapp
rerapp rerpap rerppa rrppea rrppae rrpepa rrpeap rrpaep rrpape rrppea rrppae
rrpepa rrpeap rrpaep rrpape rreppa rrepap rreppa rrepap rreapp rreapp rrapep
rrappe rraepp rraepp rrapep rrappe

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

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