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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: guttae
cipher variations:
hvuubf iwvvcg jxwwdh kyxxei lzyyfj
mazzgk nbaahl ocbbim pdccjn qeddko
rfeelp sgffmq thggnr uihhos vjiipt
wkjjqu xlkkrv ymllsw znmmtx aonnuy
bpoovz cqppwa drqqxb esrryc ftsszd

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.)
Read more ...
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: guttae
Cipher: tfggzv

Read more ...

 

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: guttae
Cipher: AABBA BAABB BAABA BAABA AAAAA 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: guttae
cipher variations:
hvuubftjggbnfxssbvrleebddzqqblpnccbtnpaabjzdmmbr
lryybzxfkkbhjtwwbpvhiibxiwvvcgukhhcogyttcwsmffce
earrcmqoddcuoqbbckaenncsmszzcaygllcikuxxcqwijjcy
jxwwdhvliidphzuudxtnggdffbssdnrpeedvprccdlbfoodt
ntaadbzhmmdjlvyydrxjkkdzkyxxeiwmjjeqiavveyuohheg
gctteosqffewqsddemcgppeuoubbecainnekmwzzesykllea
lzyyfjxnkkfrjbwwfzvpiifhhduufptrggfxrteefndhqqfv
pvccfdbjooflnxaaftzlmmfbmazzgkyollgskcxxgawqjjgi
ievvgqushhgysuffgoeirrgwqwddgeckppgmoybbguamnngc
nbaahlzpmmhtldyyhbxrkkhjjfwwhrvtiihztvgghpfjsshx
rxeehfdlqqhnpzcchvbnoohdocbbimaqnniumezzicysllik
kgxxiswujjiauwhhiqgkttiysyffigemrrioqaddiwcoppie
pdccjnbroojvnfaajdztmmjllhyyjtxvkkjbvxiijrhluujz
tzggjhfnssjprbeejxdpqqjfqeddkocsppkwogbbkeaunnkm
mizzkuywllkcwyjjksimvvkauahhkigottkqscffkyeqrrkg
rfeelpdtqqlxphcclfbvoolnnjaalvzxmmldxzkkltjnwwlb
vbiiljhpuulrtdgglzfrsslhsgffmqeurrmyqiddmgcwppmo
okbbmwaynnmeyallmukoxxmcwcjjmkiqvvmsuehhmagsttmi
thggnrfvssnzrjeenhdxqqnpplccnxbzoonfzbmmnvlpyynd
xdkknljrwwntvfiinbhtuunjuihhosgwttoaskffoieyrroq
qmddoycappogacnnowmqzzoeyellomksxxouwgjjociuvvok
vjiipthxuupbtlggpjfzssprrneepzdbqqphbdoopxnraapf
zfmmpnltyypvxhkkpdjvwwplwkjjquiyvvqcumhhqkgattqs
soffqaecrrqiceppqyosbbqgagnnqomuzzqwyillqekwxxqm
xlkkrvjzwwrdvniirlhbuurttpggrbfdssrjdfqqrzptccrh
bhoorpnvaarxzjmmrflxyyrnymllswkaxxsewojjsmicvvsu
uqhhscgettskegrrsaquddsicippsqowbbsyaknnsgmyzzso
znmmtxlbyytfxpkktnjdwwtvvriitdhfuutlfhsstbrveetj
djqqtrpxcctzbloothnzaatpaonnuymczzugyqlluokexxuw
wsjjueigvvumgittucswffukekrrusqydduacmppuioabbuq
bpoovzndaavhzrmmvplfyyvxxtkkvfjhwwvnhjuuvdtxggvl
flssvtrzeevbdnqqvjpbccvrcqppwaoebbwiasnnwqmgzzwy
yullwgkixxwoikvvweuyhhwmgmttwusaffwceorrwkqcddws
drqqxbpfccxjbtooxrnhaaxzzvmmxhljyyxpjlwwxfvziixn
hnuuxvtbggxdfpssxlrdeextesrrycqgddykcuppysoibbya
awnnyimkzzyqkmxxygwajjyoiovvywuchhyegqttymseffyu
ftsszdrheezldvqqztpjcczbbxoozjnlaazrlnyyzhxbkkzp
jpwwzxvdiizfhruuzntfggzvguttaesiffamewrrauqkddac
cyppakombbasmozzaiycllaqkqxxaywejjagisvvaoughhaw

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,

Read more ...

 

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: guttae
Cipher: thggnr

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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: guttae
Cipher: 225444441151

Extended Methods:
Method #1

Plaintext: guttae
method variations:
mzyyfkreddlpwkiiqubpoovz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
g u t t a e 
2 5 4 4 1 5 
2 4 4 4 1 1 
They are then read out in rows:
254415244411
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: guttae
Cipher: wtvrta

Read more ...
Method #3

Plaintext: guttae
method variations:
wttdvf ttdvfw tdvfwt
dvfwtt vfwttd fwttdv

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: guttae

all 720 cipher variations:
guttae guttea gutate gutaet guteat guteta guttae guttea gutate gutaet guteat
guteta guatte guatet guatte guatet guaett guaett guetat guetta gueatt gueatt
guetat guetta gtutae gtutea gtuate gtuaet gtueat gtueta gttuae gttuea gttaue
gttaeu gtteau gtteua gtatue gtateu gtaute gtauet gtaeut gtaetu gtetau gtetua
gteatu gteaut gteuat gteuta gttuae gttuea gttaue gttaeu gtteau gtteua gtutae
gtutea gtuate gtuaet gtueat gtueta gtaute gtauet gtatue gtateu gtaetu gtaeut
gteuat gteuta gteaut gteatu gtetau gtetua gattue gatteu gatute gatuet gateut
gatetu gattue gatteu gatute gatuet gateut gatetu gautte gautet gautte gautet
gauett gauett gaetut gaettu gaeutt gaeutt gaetut gaettu gettau gettua getatu
getaut getuat getuta gettau gettua getatu getaut getuat getuta geattu geatut
geattu geatut geautt geautt geutat geutta geuatt geuatt geutat geutta ugttae
ugttea ugtate ugtaet ugteat ugteta ugttae ugttea ugtate ugtaet ugteat ugteta
ugatte ugatet ugatte ugatet ugaett ugaett ugetat ugetta ugeatt ugeatt ugetat
ugetta utgtae utgtea utgate utgaet utgeat utgeta uttgae uttgea uttage uttaeg
utteag uttega utatge utateg utagte utaget utaegt utaetg utetag utetga uteatg
uteagt utegat utegta uttgae uttgea uttage uttaeg utteag uttega utgtae utgtea
utgate utgaet utgeat utgeta utagte utaget utatge utateg utaetg utaegt utegat
utegta uteagt uteatg utetag utetga uattge uatteg uatgte uatget uategt uatetg
uattge uatteg uatgte uatget uategt uatetg uagtte uagtet uagtte uagtet uagett
uagett uaetgt uaettg uaegtt uaegtt uaetgt uaettg uettag uettga uetatg uetagt
uetgat uetgta uettag uettga uetatg uetagt uetgat uetgta ueattg ueatgt ueattg
ueatgt ueagtt ueagtt uegtat uegtta uegatt uegatt uegtat uegtta tugtae tugtea
tugate tugaet tugeat tugeta tutgae tutgea tutage tutaeg tuteag tutega tuatge
tuateg tuagte tuaget tuaegt tuaetg tuetag tuetga tueatg tueagt tuegat tuegta
tgutae tgutea tguate tguaet tgueat tgueta tgtuae tgtuea tgtaue tgtaeu tgteau
tgteua tgatue tgateu tgaute tgauet tgaeut tgaetu tgetau tgetua tgeatu tgeaut
tgeuat tgeuta ttguae ttguea ttgaue ttgaeu ttgeau ttgeua ttugae ttugea ttuage
ttuaeg ttueag ttuega ttauge ttaueg ttague ttageu ttaegu ttaeug tteuag tteuga
tteaug tteagu ttegau ttegua tagtue tagteu tagute taguet tageut tagetu tatgue
tatgeu tatuge tatueg tateug tategu tautge tauteg taugte tauget tauegt tauetg
taetug taetgu taeutg taeugt taegut taegtu tegtau tegtua tegatu tegaut teguat
teguta tetgau tetgua tetagu tetaug tetuag tetuga teatgu teatug teagtu teagut
teaugt teautg teutag teutga teuatg teuagt teugat teugta tutgae tutgea tutage
tutaeg tuteag tutega tugtae tugtea tugate tugaet tugeat tugeta tuagte tuaget
tuatge tuateg tuaetg tuaegt tuegat tuegta tueagt tueatg tuetag tuetga ttugae
ttugea ttuage ttuaeg ttueag ttuega ttguae ttguea ttgaue ttgaeu ttgeau ttgeua
ttague ttageu ttauge ttaueg ttaeug ttaegu ttegau ttegua tteagu tteaug tteuag
tteuga tgtuae tgtuea tgtaue tgtaeu tgteau tgteua tgutae tgutea tguate tguaet
tgueat tgueta tgaute tgauet tgatue tgateu tgaetu tgaeut tgeuat tgeuta tgeaut
tgeatu tgetau tgetua tatgue tatgeu tatuge tatueg tateug tategu tagtue tagteu
tagute taguet tageut tagetu taugte tauget tautge tauteg tauetg tauegt taegut
taegtu taeugt taeutg taetug taetgu tetgau tetgua tetagu tetaug tetuag tetuga
tegtau tegtua tegatu tegaut teguat teguta teagtu teagut teatgu teatug teautg
teaugt teugat teugta teuagt teuatg teutag teutga auttge autteg autgte autget
autegt autetg auttge autteg autgte autget autegt autetg augtte augtet augtte
augtet augett augett auetgt auettg auegtt auegtt auetgt auettg atutge atuteg
atugte atuget atuegt atuetg attuge attueg attgue attgeu attegu atteug atgtue
atgteu atgute atguet atgeut atgetu atetgu atetug ategtu ategut ateugt ateutg
attuge attueg attgue attgeu attegu atteug atutge atuteg atugte atuget atuegt
atuetg atgute atguet atgtue atgteu atgetu atgeut ateugt ateutg ategut ategtu
atetgu atetug agttue agtteu agtute agtuet agteut agtetu agttue agtteu agtute
agtuet agteut agtetu agutte agutet agutte agutet aguett aguett agetut agettu
ageutt ageutt agetut agettu aettgu aettug aetgtu aetgut aetugt aetutg aettgu
aettug aetgtu aetgut aetugt aetutg aegttu aegtut aegttu aegtut aegutt aegutt
aeutgt aeuttg aeugtt aeugtt aeutgt aeuttg euttag euttga eutatg eutagt eutgat
eutgta euttag euttga eutatg eutagt eutgat eutgta euattg euatgt euattg euatgt
euagtt euagtt eugtat eugtta eugatt eugatt eugtat eugtta etutag etutga etuatg
etuagt etugat etugta ettuag ettuga ettaug ettagu ettgau ettgua etatug etatgu
etautg etaugt etagut etagtu etgtau etgtua etgatu etgaut etguat etguta ettuag
ettuga ettaug ettagu ettgau ettgua etutag etutga etuatg etuagt etugat etugta
etautg etaugt etatug etatgu etagtu etagut etguat etguta etgaut etgatu etgtau
etgtua eattug eattgu eatutg eatugt eatgut eatgtu eattug eattgu eatutg eatugt
eatgut eatgtu eauttg eautgt eauttg eautgt eaugtt eaugtt eagtut eagttu eagutt
eagutt eagtut eagttu egttau egttua egtatu egtaut egtuat egtuta egttau egttua
egtatu egtaut egtuat egtuta egattu egatut egattu egatut egautt egautt egutat
egutta eguatt eguatt egutat egutta

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

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