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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: eterna
cipher variations:
fufsob gvgtpc hwhuqd ixivre jyjwsf
kzkxtg lalyuh mbmzvi ncnawj odobxk
pepcyl qfqdzm rgrean shsfbo titgcp
ujuhdq vkvier wlwjfs xmxkgt ynylhu
zozmiv apanjw bqbokx crcply dsdqmz

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: eterna
Cipher: vgvimz

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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: eterna
Cipher: AABAA BAABA AABAA BAAAA ABBAA AAAAA

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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: eterna
cipher variations:
fufsobngnaobvsviobdedqoblqlyobtctgobjajwobrmreob
zyzmobhkhuobpwpcobxixkobgvgtpcohobpcwtwjpceferpc
mrmzpcuduhpckbkxpcsnsfpcazanpcilivpcqxqdpcyjylpc
hwhuqdpipcqdxuxkqdfgfsqdnsnaqdveviqdlclyqdtotgqd
baboqdjmjwqdryreqdzkzmqdixivreqjqdreyvylreghgtre
otobrewfwjremdmzreupuhrecbcpreknkxreszsfrealanre
jyjwsfrkresfzwzmsfhihusfpupcsfxgxksfnenasfvqvisf
dcdqsflolysftatgsfbmbosfkzkxtgslsftgaxantgijivtg
qvqdtgyhyltgofobtgwrwjtgedertgmpmztgubuhtgcncptg
lalyuhtmtguhbybouhjkjwuhrwreuhzizmuhpgpcuhxsxkuh
fefsuhnqnauhvcviuhdodquhmbmzviunuhviczcpviklkxvi
sxsfviajanviqhqdviytylvigfgtviorobviwdwjviepervi
ncnawjvoviwjdadqwjlmlywjtytgwjbkbowjrirewjzuzmwj
hghuwjpspcwjxexkwjfqfswjodobxkwpwjxkeberxkmnmzxk
uzuhxkclcpxksjsfxkavanxkihivxkqtqdxkyfylxkgrgtxk
pepcylxqxkylfcfsylnonaylvaviyldmdqyltktgylbwboyl
jijwylrureylzgzmylhshuylqfqdzmyrylzmgdgtzmopobzm
wbwjzmenerzmuluhzmcxcpzmkjkxzmsvsfzmahanzmitivzm
rgreanzszmanhehuanpqpcanxcxkanfofsanvmviandydqan
lklyantwtganbiboanjujwanshsfboatanboifivboqrqdbo
ydylbogpgtbownwjboezerbomlmzbouxuhbocjcpbokvkxbo
titgcpbubocpjgjwcprsrecpzezmcphqhucpxoxkcpfafscp
nmnacpvyvicpdkdqcplwlycpujuhdqcvcpdqkhkxdqstsfdq
afandqirivdqypyldqgbgtdqonobdqwzwjdqelerdqmxmzdq
vkvierdwdqerlilyertutgerbgboerjsjwerzqzmerhchuer
popcerxaxkerfmfsernynaerwlwjfsexerfsmjmzfsuvuhfs
chcpfsktkxfsaranfsidivfsqpqdfsybylfsgngtfsozobfs
xmxkgtfyfsgtnknagtvwvigtdidqgtlulygtbsbogtjejwgt
rqregtzczmgthohugtpapcgtynylhugzgthuolobhuwxwjhu
ejerhumvmzhuctcphukfkxhusrsfhuadanhuipivhuqbqdhu
zozmivhahuivpmpcivxyxkivfkfsivnwnaivdudqivlglyiv
tstgivbeboivjqjwivrcreivapanjwibivjwqnqdjwyzyljw
glgtjwoxobjweverjwmhmzjwutuhjwcfcpjwkrkxjwsdsfjw
bqbokxjcjwkxrorekxzazmkxhmhukxpypckxfwfskxninakx
vuvikxdgdqkxlslykxtetgkxcrcplykdkxlyspsflyabanly
inivlyqzqdlygxgtlyojoblywvwjlyeherlymtmzlyufuhly
dsdqmzlelymztqtgmzbcbomzjojwmzraremzhyhumzpkpcmz
xwxkmzfifsmznunamzvgvimzeternamfmznauruhnacdcpna
kpkxnasbsfnaizivnaqlqdnayxylnagjgtnaovobnawhwjna

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: eterna
Cipher: rgrean

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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: eterna
Cipher: 514451243311

Extended Methods:
Method #1

Plaintext: eterna
method variations:
kykwsfpdpbxluiugcqzozmhv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
e t e r n a 
5 4 5 2 3 1 
1 4 1 4 3 1 
They are then read out in rows:
545231141431
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: eterna
Cipher: ukcqqc

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Method #3

Plaintext: eterna
method variations:
qyfocv yfocvq focvqy
ocvqyf cvqyfo vqyfoc

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: eterna

all 720 cipher variations:
eterna eteran etenra etenar eteanr etearn etrena etrean etrnea etrnae etrane
etraen etnrea etnrae etnera etnear etnaer etnare etarne etaren etanre etaner
etaenr etaern eetrna eetran eetnra eetnar eetanr eetarn eertna eertan eernta
eernat eerant eeratn eenrta eenrat eentra eentar eenatr eenart eearnt eeartn
eeanrt eeantr eeatnr eeatrn eretna eretan erenta erenat ereant ereatn ertena
ertean ertnea ertnae ertane ertaen erntea erntae erneta erneat ernaet ernate
eratne eraten erante eranet eraent eraetn enerta enerat enetra enetar eneatr
eneart enreta enreat enrtea enrtae enrate enraet entrea entrae entera entear
entaer entare enarte enaret enatre enater enaetr enaert eaernt eaertn eaenrt
eaentr eaetnr eaetrn earent earetn earnet earnte eartne earten eanret eanrte
eanert eanetr eanter eantre eatrne eatren eatnre eatner eatenr eatern teerna
teeran teenra teenar teeanr teearn terena terean ternea ternae terane teraen
tenrea tenrae tenera tenear tenaer tenare tearne tearen teanre teaner teaenr
teaern teerna teeran teenra teenar teeanr teearn terena terean ternea ternae
terane teraen tenrea tenrae tenera tenear tenaer tenare tearne tearen teanre
teaner teaenr teaern treena treean trenea trenae treane treaen treena treean
trenea trenae treane treaen trneea trneae trneea trneae trnaee trnaee traene
traeen tranee tranee traene traeen tnerea tnerae tneera tneear tneaer tneare
tnreea tnreae tnreea tnreae tnraee tnraee tnerea tnerae tneera tneear tneaer
tneare tnaree tnaree tnaere tnaeer tnaeer tnaere taerne taeren taenre taener
taeenr taeern tarene tareen tarnee tarnee tarene tareen tanree tanree tanere
taneer taneer tanere taerne taeren taenre taener taeenr taeern eterna eteran
etenra etenar eteanr etearn etrena etrean etrnea etrnae etrane etraen etnrea
etnrae etnera etnear etnaer etnare etarne etaren etanre etaner etaenr etaern
eetrna eetran eetnra eetnar eetanr eetarn eertna eertan eernta eernat eerant
eeratn eenrta eenrat eentra eentar eenatr eenart eearnt eeartn eeanrt eeantr
eeatnr eeatrn eretna eretan erenta erenat ereant ereatn ertena ertean ertnea
ertnae ertane ertaen erntea erntae erneta erneat ernaet ernate eratne eraten
erante eranet eraent eraetn enerta enerat enetra enetar eneatr eneart enreta
enreat enrtea enrtae enrate enraet entrea entrae entera entear entaer entare
enarte enaret enatre enater enaetr enaert eaernt eaertn eaenrt eaentr eaetnr
eaetrn earent earetn earnet earnte eartne earten eanret eanrte eanert eanetr
eanter eantre eatrne eatren eatnre eatner eatenr eatern rteena rteean rtenea
rtenae rteane rteaen rteena rteean rtenea rtenae rteane rteaen rtneea rtneae
rtneea rtneae rtnaee rtnaee rtaene rtaeen rtanee rtanee rtaene rtaeen retena
retean retnea retnae retane retaen reetna reetan reenta reenat reeant reeatn
reneta reneat rentea rentae renate renaet reaent reaetn reanet reante reatne
reaten reetna reetan reenta reenat reeant reeatn retena retean retnea retnae
retane retaen rentea rentae reneta reneat renaet renate reatne reaten reante
reanet reaent reaetn rneeta rneeat rnetea rnetae rneate rneaet rneeta rneeat
rnetea rnetae rneate rneaet rnteea rnteae rnteea rnteae rntaee rntaee rnaete
rnaeet rnatee rnatee rnaete rnaeet raeent raeetn raenet raente raetne raeten
raeent raeetn raenet raente raetne raeten raneet ranete raneet ranete rantee
rantee ratene rateen ratnee ratnee ratene rateen nterea nterae nteera nteear
nteaer nteare ntreea ntreae ntreea ntreae ntraee ntraee nterea nterae nteera
nteear nteaer nteare ntaree ntaree ntaere ntaeer ntaeer ntaere netrea netrae
netera netear netaer netare nertea nertae nereta nereat neraet nerate neerta
neerat neetra neetar neeatr neeart nearet nearte neaert neaetr neater neatre
nretea nretae nreeta nreeat nreaet nreate nrteea nrteae nrteea nrteae nrtaee
nrtaee nretea nretae nreeta nreeat nreaet nreate nratee nratee nraete nraeet
nraeet nraete neerta neerat neetra neetar neeatr neeart nereta nereat nertea
nertae nerate neraet netrea netrae netera netear netaer netare nearte nearet
neatre neater neaetr neaert naeret naerte naeert naeetr naeter naetre nareet
narete nareet narete nartee nartee naeret naerte naeert naeetr naeter naetre
natree natree natere nateer nateer natere aterne ateren atenre atener ateenr
ateern atrene atreen atrnee atrnee atrene atreen atnree atnree atnere atneer
atneer atnere aterne ateren atenre atener ateenr ateern aetrne aetren aetnre
aetner aetenr aetern aertne aerten aernte aernet aerent aeretn aenrte aenret
aentre aenter aenetr aenert aeernt aeertn aeenrt aeentr aeetnr aeetrn aretne
areten arente arenet areent areetn artene arteen artnee artnee artene arteen
arntee arntee arnete arneet arneet arnete aretne areten arente arenet areent
areetn anerte aneret anetre aneter aneetr aneert anrete anreet anrtee anrtee
anrete anreet antree antree antere anteer anteer antere anerte aneret anetre
aneter aneetr aneert aeernt aeertn aeenrt aeentr aeetnr aeetrn aerent aeretn
aernet aernte aertne aerten aenret aenrte aenert aenetr aenter aentre aetrne
aetren aetnre aetner aetenr aetern

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