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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: nafisa
cipher variations:
obgjtb pchkuc qdilvd rejmwe sfknxf
tgloyg uhmpzh vinqai wjorbj xkpsck
ylqtdl zmruem ansvfn botwgo cpuxhp
dqvyiq erwzjr fsxaks gtyblt huzcmu
ivadnv jwbeow kxcfpx lydgqy mzehrz

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: nafisa
Cipher: mzurhz

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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: nafisa
Cipher: ABBAA AAAAA AABAB ABAAA BAAAB 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: nafisa
cipher variations:
obgjtbobqzdbobapnbobkfxbobuvhbobelrbobyrlbobihvb
obsxfbobcnpbobmdzbobwtjbpchkucpcraecpcbqocpclgyc
pcvwicpcfmscpczsmcpcjiwcpctygcpcdoqcpcneacpcxukc
qdilvdqdsbfdqdcrpdqdmhzdqdwxjdqdgntdqdatndqdkjxd
qduzhdqdeprdqdofbdqdyvldrejmweretcgeredsqereniae
rexykerehouerebuoerelkyerevaierefqserepgcerezwme
sfknxfsfudhfsfetrfsfojbfsfyzlfsfipvfsfcvpfsfmlzf
sfwbjfsfgrtfsfqhdfsfaxnftgloygtgveigtgfusgtgpkcg
tgzamgtgjqwgtgdwqgtgnmagtgxckgtghsugtgriegtgbyog
uhmpzhuhwfjhuhgvthuhqldhuhabnhuhkrxhuhexrhuhonbh
uhydlhuhitvhuhsjfhuhczphvinqaivixgkivihwuivirmei
vibcoivilsyivifysivipocivizemivijuwivitkgividaqi
wjorbjwjyhljwjixvjwjsnfjwjcdpjwjmtzjwjgztjwjqpdj
wjafnjwjkvxjwjulhjwjebrjxkpsckxkzimkxkjywkxktogk
xkdeqkxknuakxkhaukxkrqekxkbgokxklwykxkvmikxkfcsk
ylqtdlylajnlylkzxlyluphlylefrlylovblylibvlylsrfl
ylchplylmxzlylwnjlylgdtlzmruemzmbkomzmlaymzmvqim
zmfgsmzmpwcmzmjcwmzmtsgmzmdiqmzmnyamzmxokmzmheum
ansvfnanclpnanmbznanwrjnanghtnanqxdnankdxnanuthn
anejrnanozbnanyplnanifvnbotwgobodmqoboncaoboxsko
bohiuoboryeoboleyobovuiobofksobopacobozqmobojgwo
cpuxhpcpenrpcpodbpcpytlpcpijvpcpszfpcpmfzpcpwvjp
cpgltpcpqbdpcparnpcpkhxpdqvyiqdqfosqdqpecqdqzumq
dqjkwqdqtagqdqngaqdqxwkqdqhmuqdqrceqdqbsoqdqliyq
erwzjrergptrerqfdreravnrerklxrerubhrerohbreryxlr
erinvrersdfrerctprermjzrfsxaksfshqusfsrgesfsbwos
fslmysfsvcisfspicsfszymsfsjowsfstegsfsduqsfsnkas
gtybltgtirvtgtshftgtcxptgtmnztgtwdjtgtqjdtgtaznt
gtkpxtgtufhtgtevrtgtolbthuzcmuhujswuhutiguhudyqu
hunoauhuxekuhurkeuhubaouhulqyuhuvgiuhufwsuhupmcu
ivadnvivktxvivujhvivezrvivopbvivyflvivslfvivcbpv
ivmrzvivwhjvivgxtvivqndvjwbeowjwluywjwvkiwjwfasw
jwpqcwjwzgmwjwtmgwjwdcqwjwnsawjwxikwjwhyuwjwroew
kxcfpxkxmvzxkxwljxkxgbtxkxqrdxkxahnxkxunhxkxedrx
kxotbxkxyjlxkxizvxkxspfxlydgqylynwaylyxmkylyhcuy
lyrseylybioylyvoiylyfesylypucylyzkmylyjawylytqgy
mzehrzmzoxbzmzynlzmzidvzmzstfzmzcjpzmzwpjzmzgftz
mzqvdzmzalnzmzkbxzmzurhznafisanapycanazomanajewa
natuganadkqanaxqkanahguanarweanabmoanalcyanavsia

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: nafisa
Cipher: ansvfn

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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: nafisa
Cipher: 331112423411

Extended Methods:
Method #1

Plaintext: nafisa
method variations:
sfloxfxlqtclcqvyhqhvadnv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
n a f i s a 
3 1 1 4 3 1 
3 1 2 2 4 1 
They are then read out in rows:
311431312241
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: nafisa
Cipher: cqccgd

Read more ...
Method #3

Plaintext: nafisa
method variations:
carmdl armdlc rmdlca
mdlcar dlcarm lcarmd

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: nafisa

all 720 cipher variations:
nafisa nafias nafsia nafsai nafasi nafais naifsa naifas naisfa naisaf naiasf
naiafs nasifa nasiaf nasfia nasfai nasafi nasaif naaisf naaifs naasif naasfi
naafsi naafis nfaisa nfaias nfasia nfasai nfaasi nfaais nfiasa nfiaas nfisaa
nfisaa nfiasa nfiaas nfsiaa nfsiaa nfsaia nfsaai nfsaai nfsaia nfaisa nfaias
nfasia nfasai nfaasi nfaais nifasa nifaas nifsaa nifsaa nifasa nifaas niafsa
niafas niasfa niasaf niaasf niaafs nisafa nisaaf nisfaa nisfaa nisafa nisaaf
niaasf niaafs niasaf niasfa niafsa niafas nsfiaa nsfiaa nsfaia nsfaai nsfaai
nsfaia nsifaa nsifaa nsiafa nsiaaf nsiaaf nsiafa nsaifa nsaiaf nsafia nsafai
nsaafi nsaaif nsaiaf nsaifa nsaaif nsaafi nsafai nsafia nafisa nafias nafsia
nafsai nafasi nafais naifsa naifas naisfa naisaf naiasf naiafs nasifa nasiaf
nasfia nasfai nasafi nasaif naaisf naaifs naasif naasfi naafsi naafis anfisa
anfias anfsia anfsai anfasi anfais anifsa anifas anisfa anisaf aniasf aniafs
ansifa ansiaf ansfia ansfai ansafi ansaif anaisf anaifs anasif anasfi anafsi
anafis afnisa afnias afnsia afnsai afnasi afnais afinsa afinas afisna afisan
afiasn afians afsina afsian afsnia afsnai afsani afsain afaisn afains afasin
afasni afansi afanis aifnsa aifnas aifsna aifsan aifasn aifans ainfsa ainfas
ainsfa ainsaf ainasf ainafs aisnfa aisnaf aisfna aisfan aisafn aisanf aiansf
aianfs aiasnf aiasfn aiafsn aiafns asfina asfian asfnia asfnai asfani asfain
asifna asifan asinfa asinaf asianf asiafn asnifa asniaf asnfia asnfai asnafi
asnaif asainf asaifn asanif asanfi asafni asafin aafisn aafins aafsin aafsni
aafnsi aafnis aaifsn aaifns aaisfn aaisnf aainsf aainfs aasifn aasinf aasfin
aasfni aasnfi aasnif aanisf aanifs aansif aansfi aanfsi aanfis fanisa fanias
fansia fansai fanasi fanais fainsa fainas faisna faisan faiasn faians fasina
fasian fasnia fasnai fasani fasain faaisn faains faasin faasni faansi faanis
fnaisa fnaias fnasia fnasai fnaasi fnaais fniasa fniaas fnisaa fnisaa fniasa
fniaas fnsiaa fnsiaa fnsaia fnsaai fnsaai fnsaia fnaisa fnaias fnasia fnasai
fnaasi fnaais finasa finaas finsaa finsaa finasa finaas fiansa fianas fiasna
fiasan fiaasn fiaans fisana fisaan fisnaa fisnaa fisana fisaan fiaasn fiaans
fiasan fiasna fiansa fianas fsniaa fsniaa fsnaia fsnaai fsnaai fsnaia fsinaa
fsinaa fsiana fsiaan fsiaan fsiana fsaina fsaian fsania fsanai fsaani fsaain
fsaian fsaina fsaain fsaani fsanai fsania fanisa fanias fansia fansai fanasi
fanais fainsa fainas faisna faisan faiasn faians fasina fasian fasnia fasnai
fasani fasain faaisn faains faasin faasni faansi faanis iafnsa iafnas iafsna
iafsan iafasn iafans ianfsa ianfas iansfa iansaf ianasf ianafs iasnfa iasnaf
iasfna iasfan iasafn iasanf iaansf iaanfs iaasnf iaasfn iaafsn iaafns ifansa
ifanas ifasna ifasan ifaasn ifaans ifnasa ifnaas ifnsaa ifnsaa ifnasa ifnaas
ifsnaa ifsnaa ifsana ifsaan ifsaan ifsana ifansa ifanas ifasna ifasan ifaasn
ifaans infasa infaas infsaa infsaa infasa infaas inafsa inafas inasfa inasaf
inaasf inaafs insafa insaaf insfaa insfaa insafa insaaf inaasf inaafs inasaf
inasfa inafsa inafas isfnaa isfnaa isfana isfaan isfaan isfana isnfaa isnfaa
isnafa isnaaf isnaaf isnafa isanfa isanaf isafna isafan isaafn isaanf isanaf
isanfa isaanf isaafn isafan isafna iafnsa iafnas iafsna iafsan iafasn iafans
ianfsa ianfas iansfa iansaf ianasf ianafs iasnfa iasnaf iasfna iasfan iasafn
iasanf iaansf iaanfs iaasnf iaasfn iaafsn iaafns safina safian safnia safnai
safani safain saifna saifan sainfa sainaf saianf saiafn sanifa saniaf sanfia
sanfai sanafi sanaif saainf saaifn saanif saanfi saafni saafin sfaina sfaian
sfania sfanai sfaani sfaain sfiana sfiaan sfinaa sfinaa sfiana sfiaan sfniaa
sfniaa sfnaia sfnaai sfnaai sfnaia sfaina sfaian sfania sfanai sfaani sfaain
sifana sifaan sifnaa sifnaa sifana sifaan siafna siafan sianfa sianaf siaanf
siaafn sinafa sinaaf sinfaa sinfaa sinafa sinaaf siaanf siaafn sianaf sianfa
siafna siafan snfiaa snfiaa snfaia snfaai snfaai snfaia snifaa snifaa sniafa
sniaaf sniaaf sniafa snaifa snaiaf snafia snafai snaafi snaaif snaiaf snaifa
snaaif snaafi snafai snafia safina safian safnia safnai safani safain saifna
saifan sainfa sainaf saianf saiafn sanifa saniaf sanfia sanfai sanafi sanaif
saainf saaifn saanif saanfi saafni saafin aafisn aafins aafsin aafsni aafnsi
aafnis aaifsn aaifns aaisfn aaisnf aainsf aainfs aasifn aasinf aasfin aasfni
aasnfi aasnif aanisf aanifs aansif aansfi aanfsi aanfis afaisn afains afasin
afasni afansi afanis afiasn afians afisan afisna afinsa afinas afsian afsina
afsain afsani afsnai afsnia afnisa afnias afnsia afnsai afnasi afnais aifasn
aifans aifsan aifsna aifnsa aifnas aiafsn aiafns aiasfn aiasnf aiansf aianfs
aisafn aisanf aisfan aisfna aisnfa aisnaf ainasf ainafs ainsaf ainsfa ainfsa
ainfas asfian asfina asfain asfani asfnai asfnia asifan asifna asiafn asianf
asinaf asinfa asaifn asainf asafin asafni asanfi asanif asniaf asnifa asnaif
asnafi asnfai asnfia anfisa anfias anfsia anfsai anfasi anfais anifsa anifas
anisfa anisaf aniasf aniafs ansifa ansiaf ansfia ansfai ansafi ansaif anaisf
anaifs anasif anasfi anafsi anafis

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