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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: nibble
cipher variations:
ojccmf pkddng qleeoh rmffpi snggqj
tohhrk upiisl vqjjtm wrkkun xsllvo
ytmmwp zunnxq avooyr bwppzs cxqqat
dyrrbu ezsscv fattdw gbuuex hcvvfy
idwwgz jexxha kfyyib lgzzjc mhaakd

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: nibble
Cipher: mryyov

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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: nibble
Cipher: ABBAA ABAAA AAAAB AAAAB ABABA 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: nibble
cipher variations:
ojccmfozeeinopggevofiiadovkkwlolmmstorqqkjohssgr
oxuuczonwwyhodyyupotaaqxpkddngpaffjopqhhfwpgjjbe
pwllxmpmnntupsrrlkpitthspyvvdapoxxzipezzvqpubbry
qleeohqbggkpqriigxqhkkcfqxmmynqnoouvqtssmlqjuuit
qzwwebqpyyajqfaawrqvccszrmffpirchhlqrsjjhyrilldg
rynnzoroppvwruttnmrkvvjuraxxfcrqzzbkrgbbxsrwddta
snggqjsdiimrstkkizsjmmehszooapspqqwxsvuuonslwwkv
sbyygdsraaclshccytsxeeubtohhrktejjnstulljatknnfi
tappbqtqrrxytwvvpotmxxlwtczzhetsbbdmtiddzutyffvc
upiislufkkotuvmmkbuloogjubqqcrurssyzuxwwqpunyymx
udaaifutccenujeeavuzggwdvqjjtmvgllpuvwnnlcvmpphk
vcrrdsvsttzavyxxrqvozznyvebbjgvuddfovkffbwvahhxe
wrkkunwhmmqvwxoomdwnqqilwdssetwtuuabwzyysrwpaaoz
wfcckhwveegpwlggcxwbiiyfxsllvoxinnrwxyppnexorrjm
xettfuxuvvbcxazztsxqbbpaxgddlixwffhqxmhhdyxcjjzg
ytmmwpyjoosxyzqqofypssknyfuugvyvwwcdybaautyrccqb
yheemjyxggiryniiezydkkahzunnxqzkpptyzarrpgzqttlo
zgvvhwzwxxdezcbbvuzsddrcziffnkzyhhjszojjfazellbi
avooyralqquzabssqharuumpahwwixaxyyefadccwvateesd
ajggolaziiktapkkgbafmmcjbwppzsbmrrvabcttribsvvnq
bixxjybyzzfgbeddxwbufftebkhhpmbajjlubqllhcbgnndk
cxqqatcnsswbcduusjctwworcjyykzczaaghcfeeyxcvgguf
cliiqncbkkmvcrmmidchooeldyrrbudottxcdevvtkduxxps
dkzzladabbhidgffzydwhhvgdmjjrodcllnwdsnnjedippfm
ezsscvepuuydefwwulevyyqtelaambebccijehggazexiiwh
enkkspedmmoxetookfejqqgnfattdwfqvvzefgxxvmfwzzru
fmbbncfcddjkfihhbafyjjxifolltqfennpyfupplgfkrrho
gbuuexgrwwafghyywngxaasvgnccodgdeeklgjiicbgzkkyj
gpmmurgfooqzgvqqmhglssiphcvvfyhsxxbghizzxohybbtw
hoddpehefflmhkjjdchallzkhqnnvshgpprahwrrnihmttjq
idwwgzityychijaaypizccuxipeeqfifggmnilkkedibmmal
iroowtihqqsbixssojinuukrjexxhajuzzdijkbbzqjaddvy
jqffrgjghhnojmllfejcnnbmjsppxujirrtcjyttpkjovvls
kfyyibkvaaejklccarkbeewzkrggshkhiiopknmmgfkdoocn
ktqqyvkjssudkzuuqlkpwwmtlgzzjclwbbfklmddbslcffxa
lshhtilijjpqlonnhgleppdolurrzwlkttvelavvrmlqxxnu
mhaakdmxccglmneectmdggybmtiiujmjkkqrmpooihmfqqep
mvssaxmluuwfmbwwsnmryyovnibblenyddhmnoffdunehhzc
nujjvknkllrsnqppjingrrfqnwttbynmvvxgncxxtonszzpw

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: nibble
Cipher: avooyr

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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: nibble
Cipher: 334221211351

Extended Methods:
Method #1

Plaintext: nibble
method variations:
soggqkxtmmvpcyrrauhdwwfz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
n i b b l e 
3 4 2 2 1 5 
3 2 1 1 3 1 
They are then read out in rows:
342215321131
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: nibble
Cipher: sgvhac

Read more ...
Method #3

Plaintext: nibble
method variations:
sgfaxl gfaxls faxlsg
axlsgf xlsgfa lsgfax

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: nibble

all 720 cipher variations:
nibble nibbel niblbe nibleb nibelb nibebl nibble nibbel niblbe nibleb nibelb
nibebl nilbbe nilbeb nilbbe nilbeb nilebb nilebb nieblb niebbl nielbb nielbb
nieblb niebbl nbible nbibel nbilbe nbileb nbielb nbiebl nbbile nbbiel nbblie
nbblei nbbeli nbbeil nblbie nblbei nblibe nblieb nbleib nblebi nbebli nbebil
nbelbi nbelib nbeilb nbeibl nbbile nbbiel nbblie nbblei nbbeli nbbeil nbible
nbibel nbilbe nbileb nbielb nbiebl nblibe nblieb nblbie nblbei nblebi nbleib
nbeilb nbeibl nbelib nbelbi nbebli nbebil nlbbie nlbbei nlbibe nlbieb nlbeib
nlbebi nlbbie nlbbei nlbibe nlbieb nlbeib nlbebi nlibbe nlibeb nlibbe nlibeb
nliebb nliebb nlebib nlebbi nleibb nleibb nlebib nlebbi nebbli nebbil neblbi
neblib nebilb nebibl nebbli nebbil neblbi neblib nebilb nebibl nelbbi nelbib
nelbbi nelbib nelibb nelibb neiblb neibbl neilbb neilbb neiblb neibbl inbble
inbbel inblbe inbleb inbelb inbebl inbble inbbel inblbe inbleb inbelb inbebl
inlbbe inlbeb inlbbe inlbeb inlebb inlebb ineblb inebbl inelbb inelbb ineblb
inebbl ibnble ibnbel ibnlbe ibnleb ibnelb ibnebl ibbnle ibbnel ibblne ibblen
ibbeln ibbenl iblbne iblben iblnbe iblneb iblenb iblebn ibebln ibebnl ibelbn
ibelnb ibenlb ibenbl ibbnle ibbnel ibblne ibblen ibbeln ibbenl ibnble ibnbel
ibnlbe ibnleb ibnelb ibnebl iblnbe iblneb iblbne iblben iblebn iblenb ibenlb
ibenbl ibelnb ibelbn ibebln ibebnl ilbbne ilbben ilbnbe ilbneb ilbenb ilbebn
ilbbne ilbben ilbnbe ilbneb ilbenb ilbebn ilnbbe ilnbeb ilnbbe ilnbeb ilnebb
ilnebb ilebnb ilebbn ilenbb ilenbb ilebnb ilebbn iebbln iebbnl ieblbn ieblnb
iebnlb iebnbl iebbln iebbnl ieblbn ieblnb iebnlb iebnbl ielbbn ielbnb ielbbn
ielbnb ielnbb ielnbb ienblb ienbbl ienlbb ienlbb ienblb ienbbl binble binbel
binlbe binleb binelb binebl bibnle bibnel biblne biblen bibeln bibenl bilbne
bilben bilnbe bilneb bilenb bilebn biebln biebnl bielbn bielnb bienlb bienbl
bnible bnibel bnilbe bnileb bnielb bniebl bnbile bnbiel bnblie bnblei bnbeli
bnbeil bnlbie bnlbei bnlibe bnlieb bnleib bnlebi bnebli bnebil bnelbi bnelib
bneilb bneibl bbnile bbniel bbnlie bbnlei bbneli bbneil bbinle bbinel bbilne
bbilen bbieln bbienl bbline bblien bblnie bblnei bbleni bblein bbeiln bbeinl
bbelin bbelni bbenli bbenil blnbie blnbei blnibe blnieb blneib blnebi blbnie
blbnei blbine blbien blbein blbeni blibne bliben blinbe blineb blienb bliebn
blebin blebni bleibn bleinb blenib blenbi benbli benbil benlbi benlib benilb
benibl bebnli bebnil beblni beblin bebiln bebinl belbni belbin belnbi belnib
belinb belibn beibln beibnl beilbn beilnb beinlb beinbl bibnle bibnel biblne
biblen bibeln bibenl binble binbel binlbe binleb binelb binebl bilnbe bilneb
bilbne bilben bilebn bilenb bienlb bienbl bielnb bielbn biebln biebnl bbinle
bbinel bbilne bbilen bbieln bbienl bbnile bbniel bbnlie bbnlei bbneli bbneil
bblnie bblnei bbline bblien bblein bbleni bbenli bbenil bbelni bbelin bbeiln
bbeinl bnbile bnbiel bnblie bnblei bnbeli bnbeil bnible bnibel bnilbe bnileb
bnielb bniebl bnlibe bnlieb bnlbie bnlbei bnlebi bnleib bneilb bneibl bnelib
bnelbi bnebli bnebil blbnie blbnei blbine blbien blbein blbeni blnbie blnbei
blnibe blnieb blneib blnebi blinbe blineb blibne bliben bliebn blienb blenib
blenbi bleinb bleibn blebin blebni bebnli bebnil beblni beblin bebiln bebinl
benbli benbil benlbi benlib benilb benibl belnbi belnib belbni belbin belibn
belinb beinlb beinbl beilnb beilbn beibln beibnl libbne libben libnbe libneb
libenb libebn libbne libben libnbe libneb libenb libebn linbbe linbeb linbbe
linbeb linebb linebb liebnb liebbn lienbb lienbb liebnb liebbn lbibne lbiben
lbinbe lbineb lbienb lbiebn lbbine lbbien lbbnie lbbnei lbbeni lbbein lbnbie
lbnbei lbnibe lbnieb lbneib lbnebi lbebni lbebin lbenbi lbenib lbeinb lbeibn
lbbine lbbien lbbnie lbbnei lbbeni lbbein lbibne lbiben lbinbe lbineb lbienb
lbiebn lbnibe lbnieb lbnbie lbnbei lbnebi lbneib lbeinb lbeibn lbenib lbenbi
lbebni lbebin lnbbie lnbbei lnbibe lnbieb lnbeib lnbebi lnbbie lnbbei lnbibe
lnbieb lnbeib lnbebi lnibbe lnibeb lnibbe lnibeb lniebb lniebb lnebib lnebbi
lneibb lneibb lnebib lnebbi lebbni lebbin lebnbi lebnib lebinb lebibn lebbni
lebbin lebnbi lebnib lebinb lebibn lenbbi lenbib lenbbi lenbib lenibb lenibb
leibnb leibbn leinbb leinbb leibnb leibbn eibbln eibbnl eiblbn eiblnb eibnlb
eibnbl eibbln eibbnl eiblbn eiblnb eibnlb eibnbl eilbbn eilbnb eilbbn eilbnb
eilnbb eilnbb einblb einbbl einlbb einlbb einblb einbbl ebibln ebibnl ebilbn
ebilnb ebinlb ebinbl ebbiln ebbinl ebblin ebblni ebbnli ebbnil eblbin eblbni
eblibn eblinb eblnib eblnbi ebnbli ebnbil ebnlbi ebnlib ebnilb ebnibl ebbiln
ebbinl ebblin ebblni ebbnli ebbnil ebibln ebibnl ebilbn ebilnb ebinlb ebinbl
eblibn eblinb eblbin eblbni eblnbi eblnib ebnilb ebnibl ebnlib ebnlbi ebnbli
ebnbil elbbin elbbni elbibn elbinb elbnib elbnbi elbbin elbbni elbibn elbinb
elbnib elbnbi elibbn elibnb elibbn elibnb elinbb elinbb elnbib elnbbi elnibb
elnibb elnbib elnbbi enbbli enbbil enblbi enblib enbilb enbibl enbbli enbbil
enblbi enblib enbilb enbibl enlbbi enlbib enlbbi enlbib enlibb enlibb eniblb
enibbl enilbb enilbb eniblb enibbl

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

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