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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: papson
cipher variations:
qbqtpo rcruqp sdsvrq tetwsr ufuxts
vgvyut whwzvu xixawv yjybxw zkzcyx
aladzy bmbeaz cncfba dodgcb epehdc
fqfied grgjfe hshkgf itilhg jujmih
kvknji lwlokj mxmplk nynqml ozornm

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: papson
Cipher: kzkhlm

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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: papson
Cipher: ABBBA AAAAA ABBBA BAAAB ABBAB ABBAA

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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: papson
cipher variations:
qbqtpoubudroybyntocbcxvogbghxokbkrzosbsldowbwvfo
abafhoebepjoibizlombmjnorcruqpvcvespzczoupdcdywp
hchiyplclsaptctmepxcxwgpbcbgipfcfqkpjcjampncnkop
sdsvrqwdwftqadapvqedezxqidijzqmdmtbqudunfqydyxhq
cdchjqgdgrlqkdkbnqodolpqtetwsrxexgurbebqwrfefayr
jejkarnenucrvevogrzezyirdedikrhehsmrlelcorpepmqr
ufuxtsyfyhvscfcrxsgfgbzskfklbsofovdswfwphsafazjs
efejlsifitnsmfmdpsqfqnrsvgvyutzgziwtdgdsythghcat
lglmctpgpwetxgxqitbgbaktfgfkmtjgjuotngneqtrgrost
whwzvuahajxuehetzuihidbumhmnduqhqxfuyhyrjuchcblu
ghglnukhkvpuohofrushsptuxixawvbibkyvfifuavjijecv
ninoevrirygvzizskvdidcmvhihmovlilwqvpipgsvtitquv
yjybxwcjclzwgjgvbwkjkfdwojopfwsjszhwajatlwejednw
ijinpwmjmxrwqjqhtwujurvwzkzcyxdkdmaxhkhwcxlklgex
pkpqgxtktaixbkbumxfkfeoxjkjoqxnknysxrkriuxvkvswx
aladzyelenbyilixdymlmhfyqlqrhyulubjyclcvnyglgfpy
klkpryoloztyslsjvywlwtxybmbeazfmfoczjmjyeznmnigz
rmrsizvmvckzdmdwozhmhgqzlmlqszpmpauztmtkwzxmxuyz
cncfbagngpdaknkzfaonojhasnstjawnwdlaenexpainihra
mnmrtaqnqbvaunulxaynyvzadodgcbhohqeblolagbpopkib
totukbxoxembfofyqbjojisbnonsubrorcwbvovmybzozwab
epehdcipirfcmpmbhcqpqljcupuvlcypyfncgpgzrckpkjtc
opotvcspsdxcwpwnzcapaxbcfqfiedjqjsgdnqncidrqrmkd
vqvwmdzqzgodhqhasdlqlkudpqpuwdtqteydxqxoadbqbycd
grgjfekrktheorodjesrsnlewrwxnearahpeiribtemrmlve
qrqvxeurufzeyrypbecrczdehshkgflsluifpspekftstomf
xsxyofbsbiqfjsjcufnsnmwfrsrwyfvsvgafzszqcfdsdaef
itilhgmtmvjgqtqflgutupngytyzpgctcjrgktkdvgotonxg
stsxzgwtwhbgatardgetebfgjujmihnunwkhrurgmhvuvqoh
zuzaqhdudkshlulewhpupoyhtutyahxuxichbubsehfufcgh
kvknjiovoxlisvshniwvwrpiavabrieveltimvmfxiqvqpzi
uvuzbiyvyjdicvctfigvgdhilwlokjpwpymjtwtiojxwxsqj
bwbcsjfwfmujnwngyjrwrqajvwvacjzwzkejdwdugjhwheij
mxmplkqxqznkuxujpkyxytrkcxcdtkgxgnvkoxohzksxsrbk
wxwbdkaxalfkexevhkixifjknynqmlryraolvyvkqlzyzusl
dydeulhyhowlpypialtytsclxyxcelbybmglfyfwiljyjgkl
ozornmszsbpmwzwlrmazavtmezefvmizipxmqzqjbmuzutdm
yzydfmczcnhmgzgxjmkzkhlmpapsontatcqnxaxmsnbabwun
fafgwnjajqynrarkcnvavuenzazegndadoinhahyknlalimn

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: papson
Cipher: cncfba

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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: papson
Cipher: 531153344333

Extended Methods:
Method #1

Plaintext: papson
method variations:
ufuxtszlzcyxeqehdckvknih

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
p a p s o n 
5 1 5 3 4 3 
3 1 3 4 3 3 
They are then read out in rows:
515343313433
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: papson
Cipher: epocsn

Read more ...
Method #3

Plaintext: papson
method variations:
cvntnx vntnxc ntnxcv
tnxcvn nxcvnt xcvntn

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: papson

all 720 cipher variations:
papson papsno paposn papons papnos papnso paspon paspno pasopn pasonp pasnop
pasnpo paospn paosnp paopsn paopns paonps paonsp pansop panspo panosp panops
panpos panpso ppason ppasno ppaosn ppaons ppanos ppanso ppsaon ppsano ppsoan
ppsona ppsnoa ppsnao pposan pposna ppoasn ppoans pponas pponsa ppnsoa ppnsao
ppnosa ppnoas ppnaos ppnaso pspaon pspano pspoan pspona pspnoa pspnao psapon
psapno psaopn psaonp psanop psanpo psoapn psoanp psopan psopna psonpa psonap
psnaop psnapo psnoap psnopa psnpoa psnpao popsan popsna popasn popans popnas
popnsa pospan pospna posapn posanp posnap posnpa poaspn poasnp poapsn poapns
poanps poansp ponsap ponspa ponasp ponaps ponpas ponpsa pnpsoa pnpsao pnposa
pnpoas pnpaos pnpaso pnspoa pnspao pnsopa pnsoap pnsaop pnsapo pnospa pnosap
pnopsa pnopas pnoaps pnoasp pnasop pnaspo pnaosp pnaops pnapos pnapso appson
appsno apposn appons appnos appnso apspon apspno apsopn apsonp apsnop apsnpo
apospn aposnp apopsn apopns aponps aponsp apnsop apnspo apnosp apnops apnpos
apnpso appson appsno apposn appons appnos appnso apspon apspno apsopn apsonp
apsnop apsnpo apospn aposnp apopsn apopns aponps aponsp apnsop apnspo apnosp
apnops apnpos apnpso asppon asppno aspopn asponp aspnop aspnpo asppon asppno
aspopn asponp aspnop aspnpo asoppn asopnp asoppn asopnp asonpp asonpp asnpop
asnppo asnopp asnopp asnpop asnppo aopspn aopsnp aoppsn aoppns aopnps aopnsp
aosppn aospnp aosppn aospnp aosnpp aosnpp aopspn aopsnp aoppsn aoppns aopnps
aopnsp aonspp aonspp aonpsp aonpps aonpps aonpsp anpsop anpspo anposp anpops
anppos anppso anspop ansppo ansopp ansopp anspop ansppo anospp anospp anopsp
anopps anopps anopsp anpsop anpspo anposp anpops anppos anppso papson papsno
paposn papons papnos papnso paspon paspno pasopn pasonp pasnop pasnpo paospn
paosnp paopsn paopns paonps paonsp pansop panspo panosp panops panpos panpso
ppason ppasno ppaosn ppaons ppanos ppanso ppsaon ppsano ppsoan ppsona ppsnoa
ppsnao pposan pposna ppoasn ppoans pponas pponsa ppnsoa ppnsao ppnosa ppnoas
ppnaos ppnaso pspaon pspano pspoan pspona pspnoa pspnao psapon psapno psaopn
psaonp psanop psanpo psoapn psoanp psopan psopna psonpa psonap psnaop psnapo
psnoap psnopa psnpoa psnpao popsan popsna popasn popans popnas popnsa pospan
pospna posapn posanp posnap posnpa poaspn poasnp poapsn poapns poanps poansp
ponsap ponspa ponasp ponaps ponpas ponpsa pnpsoa pnpsao pnposa pnpoas pnpaos
pnpaso pnspoa pnspao pnsopa pnsoap pnsaop pnsapo pnospa pnosap pnopsa pnopas
pnoaps pnoasp pnasop pnaspo pnaosp pnaops pnapos pnapso sappon sappno sapopn
saponp sapnop sapnpo sappon sappno sapopn saponp sapnop sapnpo saoppn saopnp
saoppn saopnp saonpp saonpp sanpop sanppo sanopp sanopp sanpop sanppo spapon
spapno spaopn spaonp spanop spanpo sppaon sppano sppoan sppona sppnoa sppnao
spopan spopna spoapn spoanp sponap sponpa spnpoa spnpao spnopa spnoap spnaop
spnapo sppaon sppano sppoan sppona sppnoa sppnao spapon spapno spaopn spaonp
spanop spanpo spoapn spoanp spopan spopna sponpa sponap spnaop spnapo spnoap
spnopa spnpoa spnpao soppan soppna sopapn sopanp sopnap sopnpa soppan soppna
sopapn sopanp sopnap sopnpa soappn soapnp soappn soapnp soanpp soanpp sonpap
sonppa sonapp sonapp sonpap sonppa snppoa snppao snpopa snpoap snpaop snpapo
snppoa snppao snpopa snpoap snpaop snpapo snoppa snopap snoppa snopap snoapp
snoapp snapop snappo snaopp snaopp snapop snappo oapspn oapsnp oappsn oappns
oapnps oapnsp oasppn oaspnp oasppn oaspnp oasnpp oasnpp oapspn oapsnp oappsn
oappns oapnps oapnsp oanspp oanspp oanpsp oanpps oanpps oanpsp opaspn opasnp
opapsn opapns opanps opansp opsapn opsanp opspan opspna opsnpa opsnap oppsan
oppsna oppasn oppans oppnas oppnsa opnspa opnsap opnpsa opnpas opnaps opnasp
ospapn ospanp osppan osppna ospnpa ospnap osappn osapnp osappn osapnp osanpp
osanpp ospapn ospanp osppan osppna ospnpa ospnap osnapp osnapp osnpap osnppa
osnppa osnpap oppsan oppsna oppasn oppans oppnas oppnsa opspan opspna opsapn
opsanp opsnap opsnpa opaspn opasnp opapsn opapns opanps opansp opnsap opnspa
opnasp opnaps opnpas opnpsa onpspa onpsap onppsa onppas onpaps onpasp onsppa
onspap onsppa onspap onsapp onsapp onpspa onpsap onppsa onppas onpaps onpasp
onaspp onaspp onapsp onapps onapps onapsp napsop napspo naposp napops nappos
nappso naspop nasppo nasopp nasopp naspop nasppo naospp naospp naopsp naopps
naopps naopsp napsop napspo naposp napops nappos nappso npasop npaspo npaosp
npaops npapos npapso npsaop npsapo npsoap npsopa npspoa npspao nposap npospa
npoasp npoaps npopas npopsa nppsoa nppsao npposa nppoas nppaos nppaso nspaop
nspapo nspoap nspopa nsppoa nsppao nsapop nsappo nsaopp nsaopp nsapop nsappo
nsoapp nsoapp nsopap nsoppa nsoppa nsopap nspaop nspapo nspoap nspopa nsppoa
nsppao nopsap nopspa nopasp nopaps noppas noppsa nospap nosppa nosapp nosapp
nospap nosppa noaspp noaspp noapsp noapps noapps noapsp nopsap nopspa nopasp
nopaps noppas noppsa nppsoa nppsao npposa nppoas nppaos nppaso npspoa npspao
npsopa npsoap npsaop npsapo npospa nposap npopsa npopas npoaps npoasp npasop
npaspo npaosp npaops npapos npapso

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