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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: choicy
cipher variations:
dipjdz ejqkea fkrlfb glsmgc hmtnhd
inuoie jovpjf kpwqkg lqxrlh mrysmi
nsztnj otauok pubvpl qvcwqm rwdxrn
sxeyso tyfztp uzgauq vahbvr wbicws
xcjdxt ydkeyu zelfzv afmgaw bgnhbx

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: choicy
Cipher: xslrxb

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: choicy
Cipher: AAABA AABBB ABBAB ABAAA AAABA BABBA

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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: choicy
cipher variations:
dipjdzhwrzhvlktplrpyvfpntmxvtjxazlxffcdrfxjqfhjt
nehxnprsjnrlvgldvhzuntzdejqkeaixsaiwmluqmsqzwgqo
unywukybamyggdesgykrgikuofiyoqstkosmwhmewiavouae
fkrlfbjytbjxnmvrntraxhrpvozxvlzcbnzhhefthzlshjlv
pgjzprtulptnxinfxjbwpvbfglsmgckzuckyonwsousbyisq
wpaywmadcoaiifguiamtikmwqhkaqsuvmquoyjogykcxqwcg
hmtnhdlavdlzpoxtpvtczjtrxqbzxnbedpbjjghvjbnujlnx
rilbrtvwnrvpzkphzldyrxdhinuoiembwemaqpyuqwudakus
yrcayocfeqckkhiwkcovkmoysjmcsuwxoswqalqiamezsyei
jovpjfncxfnbrqzvrxveblvtzsdbzpdgfrdllijxldpwlnpz
tkndtvxyptxrbmrjbnfatzfjkpwqkgodygocsrawsywfcmwu
atecaqehgsemmjkymeqxmoqauloeuwyzquyscnskcogbuagk
lqxrlhpezhpdtsbxtzxgdnxvbufdbrfihtfnnklznfrynprb
vmpfvxzarvztdotldphcvbhlmrysmiqfaiqeutcyuayheoyw
cvgecsgjiugoolmaogszoqscwnqgwyabswauepumeqidwcim
nsztnjrgbjrfvudzvbzifpzxdwhfdthkjvhppmnbphtaprtd
xorhxzbctxbvfqvnfrjexdjnotauokshcksgwveawcajgqay
exigeuilkwiqqnocqiubqsueypsiyacduycwgrwogskfyeko
pubvpltidlthxwfbxdbkhrbzfyjhfvjmlxjrropdrjvcrtvf
zqtjzbdevzdxhsxphtlgzflpqvcwqmujemuiyxgcyeclisca
gzkigwknmyksspqeskwdsuwgarukacefwaeyityqiumhagmq
rwdxrnvkfnvjzyhdzfdmjtdbhaljhxlonzlttqrftlxetvxh
bsvlbdfgxbfzjuzrjvnibhnrsxeysowlgowkazieagenkuec
ibmkiympoamuursgumyfuwyictwmceghycgakvaskwojcios
tyfztpxmhpxlbajfbhfolvfdjcnljznqpbnvvsthvnzgvxzj
duxndfhizdhblwbtlxpkdjptuzgauqyniqymcbkgcigpmwge
kdomkaorqcowwtuiwoahwyakevyoegijaeicmxcumyqlekqu
vahbvrzojrzndclhdjhqnxhflepnlbpsrdpxxuvjxpbixzbl
fwzpfhjkbfjdnydvnzrmflrvwbicwsapksaoedmiekiroyig
mfqomcqtseqyyvwkyqcjyacmgxaqgiklcgkeozewoasngmsw
xcjdxtbqltbpfenjfljspzjhngrpndrutfrzzwxlzrdkzbdn
hybrhjlmdhlfpafxpbtohntxydkeyucrmucqgfokgmktqaki
ohsqoesvugsaaxymaselaceoizcsikmneimgqbgyqcupiouy
zelfzvdsnvdrhgplhnlurbljpitrpftwvhtbbyznbtfmbdfp
jadtjlnofjnhrchzrdvqjpvzafmgawetowesihqmiomvscmk
qjusqguxwiucczaocugncegqkbeukmopgkoisdiasewrkqwa
bgnhbxfupxftjirnjpnwtdnlrkvtrhvyxjvddabpdvhodfhr
lcfvlnpqhlpjtejbtfxslrxbchoicygvqygukjsokqoxueom
slwusiwzykweebcqewipegismdgwmoqrimqkufkcugytmsyc

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: choicy
Cipher: pubvpl

Read more ...

 

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: choicy
Cipher: 313243423145

Extended Methods:
Method #1

Plaintext: choicy
method variations:
hntohdnsytnisxdysoxcidxt

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
c h o i c y 
3 3 4 4 3 4 
1 2 3 2 1 5 
They are then read out in rows:
334434123215
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: choicy
Cipher: ntsfhv

Read more ...
Method #3

Plaintext: choicy
method variations:
lrsmqp rsmqpl smqplr
mqplrs qplrsm plrsmq

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: choicy

all 720 cipher variations:
choicy choiyc chociy chocyi choyci choyic chiocy chioyc chicoy chicyo chiyco
chiyoc chcioy chciyo chcoiy chcoyi chcyoi chcyio chyico chyioc chycio chycoi
chyoci chyoic cohicy cohiyc cohciy cohcyi cohyci cohyic coihcy coihyc coichy
coicyh coiych coiyhc cocihy cociyh cochiy cochyi cocyhi cocyih coyich coyihc
coycih coychi coyhci coyhic ciohcy ciohyc ciochy ciocyh cioych cioyhc cihocy
cihoyc cihcoy cihcyo cihyco cihyoc cichoy cichyo cicohy cicoyh cicyoh cicyho
ciyhco ciyhoc ciycho ciycoh ciyoch ciyohc ccoihy ccoiyh ccohiy ccohyi ccoyhi
ccoyih cciohy ccioyh ccihoy ccihyo cciyho cciyoh cchioy cchiyo cchoiy cchoyi
cchyoi cchyio ccyiho ccyioh ccyhio ccyhoi ccyohi ccyoih cyoich cyoihc cyocih
cyochi cyohci cyohic cyioch cyiohc cyicoh cyicho cyihco cyihoc cycioh cyciho
cycoih cycohi cychoi cychio cyhico cyhioc cyhcio cyhcoi cyhoci cyhoic hcoicy
hcoiyc hcociy hcocyi hcoyci hcoyic hciocy hcioyc hcicoy hcicyo hciyco hciyoc
hccioy hcciyo hccoiy hccoyi hccyoi hccyio hcyico hcyioc hcycio hcycoi hcyoci
hcyoic hocicy hociyc hocciy hoccyi hocyci hocyic hoiccy hoicyc hoiccy hoicyc
hoiycc hoiycc hocicy hociyc hocciy hoccyi hocyci hocyic hoyicc hoyicc hoycic
hoycci hoycci hoycic hioccy hiocyc hioccy hiocyc hioycc hioycc hicocy hicoyc
hiccoy hiccyo hicyco hicyoc hiccoy hiccyo hicocy hicoyc hicyoc hicyco hiycco
hiycoc hiycco hiycoc hiyocc hiyocc hcoicy hcoiyc hcociy hcocyi hcoyci hcoyic
hciocy hcioyc hcicoy hcicyo hciyco hciyoc hccioy hcciyo hccoiy hccoyi hccyoi
hccyio hcyico hcyioc hcycio hcycoi hcyoci hcyoic hyoicc hyoicc hyocic hyocci
hyocci hyocic hyiocc hyiocc hyicoc hyicco hyicco hyicoc hycioc hycico hycoic
hycoci hyccoi hyccio hycico hycioc hyccio hyccoi hycoci hycoic ohcicy ohciyc
ohcciy ohccyi ohcyci ohcyic ohiccy ohicyc ohiccy ohicyc ohiycc ohiycc ohcicy
ohciyc ohcciy ohccyi ohcyci ohcyic ohyicc ohyicc ohycic ohycci ohycci ohycic
ochicy ochiyc ochciy ochcyi ochyci ochyic ocihcy ocihyc ocichy ocicyh ociych
ociyhc occihy occiyh occhiy occhyi occyhi occyih ocyich ocyihc ocycih ocychi
ocyhci ocyhic oichcy oichyc oicchy oiccyh oicych oicyhc oihccy oihcyc oihccy
oihcyc oihycc oihycc oichcy oichyc oicchy oiccyh oicych oicyhc oiyhcc oiyhcc
oiychc oiycch oiycch oiychc occihy occiyh occhiy occhyi occyhi occyih ocichy
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iohcyc iohccy iohcyc iohycc iohycc iochcy iochyc iocchy ioccyh iocych iocyhc
iocchy ioccyh iochcy iochyc iocyhc iocych ioycch ioychc ioycch ioychc ioyhcc
ioyhcc icohcy icohyc icochy icocyh icoych icoyhc ichocy ichoyc ichcoy ichcyo
ichyco ichyoc icchoy icchyo iccohy iccoyh iccyoh iccyho icyhco icyhoc icycho
icycoh icyoch icyohc icochy icocyh icohcy icohyc icoyhc icoych iccohy iccoyh
icchoy icchyo iccyho iccyoh ichcoy ichcyo ichocy ichoyc ichyoc ichyco icycho
icycoh icyhco icyhoc icyohc icyoch iyocch iyochc iyocch iyochc iyohcc iyohcc
iycoch iycohc iyccoh iyccho iychco iychoc iyccoh iyccho iycoch iycohc iychoc
iychco iyhcco iyhcoc iyhcco iyhcoc iyhocc iyhocc choicy choiyc chociy chocyi
choyci choyic chiocy chioyc chicoy chicyo chiyco chiyoc chcioy chciyo chcoiy
chcoyi chcyoi chcyio chyico chyioc chycio chycoi chyoci chyoic cohicy cohiyc
cohciy cohcyi cohyci cohyic coihcy coihyc coichy coicyh coiych coiyhc cocihy
cociyh cochiy cochyi cocyhi cocyih coyich coyihc coycih coychi coyhci coyhic
ciohcy ciohyc ciochy ciocyh cioych cioyhc cihocy cihoyc cihcoy cihcyo cihyco
cihyoc cichoy cichyo cicohy cicoyh cicyoh cicyho ciyhco ciyhoc ciycho ciycoh
ciyoch ciyohc ccoihy ccoiyh ccohiy ccohyi ccoyhi ccoyih cciohy ccioyh ccihoy
ccihyo cciyho cciyoh cchioy cchiyo cchoiy cchoyi cchyoi cchyio ccyiho ccyioh
ccyhio ccyhoi ccyohi ccyoih cyoich cyoihc cyocih cyochi cyohci cyohic cyioch
cyiohc cyicoh cyicho cyihco cyihoc cycioh cyciho cycoih cycohi cychoi cychio
cyhico cyhioc cyhcio cyhcoi cyhoci cyhoic yhoicc yhoicc yhocic yhocci yhocci
yhocic yhiocc yhiocc yhicoc yhicco yhicco yhicoc yhcioc yhcico yhcoic yhcoci
yhccoi yhccio yhcico yhcioc yhccio yhccoi yhcoci yhcoic yohicc yohicc yohcic
yohcci yohcci yohcic yoihcc yoihcc yoichc yoicch yoicch yoichc yocihc yocich
yochic yochci yocchi yoccih yocich yocihc yoccih yocchi yochci yochic yiohcc
yiohcc yiochc yiocch yiocch yiochc yihocc yihocc yihcoc yihcco yihcco yihcoc
yichoc yichco yicohc yicoch yiccoh yiccho yichco yichoc yiccho yiccoh yicoch
yicohc ycoihc ycoich ycohic ycohci ycochi ycocih yciohc ycioch ycihoc ycihco
ycicho ycicoh ychioc ychico ychoic ychoci ychcoi ychcio ycciho yccioh ycchio
ycchoi yccohi yccoih ycoich ycoihc ycocih ycochi ycohci ycohic ycioch yciohc
ycicoh ycicho ycihco ycihoc yccioh ycciho yccoih yccohi ycchoi ycchio ychico
ychioc ychcio ychcoi ychoci ychoic

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