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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: comica
cipher variations:
dpnjdb eqokec frplfd gsqmge htrnhf
iusoig jvtpjh kwuqki lxvrlj mywsmk
nzxtnl oayuom pbzvpn qcawqo rdbxrp
secysq tfdztr ugeaus vhfbvt wigcwu
xjhdxv ykieyw zljfzx amkgay bnlhbz

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: comica
Cipher: xlnrxz

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: comica
Cipher: AAABA ABBAB ABABB ABAAA AAABA 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: comica
cipher variations:
dpnjdbhrlzhbltjplbpvhfpbtxfvtbxzdlxbfdzrfbjfxhjb
nhvxnbrjtnrbvlrdvbznptzbeqokecismaicmukqmcqwigqc
uygwucyaemycgeasgckgyikcoiwyocskuoscwmsewcaoquac
frplfdjtnbjdnvlrndrxjhrdvzhxvdzbfnzdhfbthdlhzjld
pjxzpdtlvptdxntfxdbprvbdgsqmgekuockeowmsoesykise
waiyweacgoaeigcuiemiakmeqkyaqeumwqueyougyecqswce
htrnhflvpdlfpxntpftzljtfxbjzxfbdhpbfjhdvjfnjblnf
rlzbrfvnxrvfzpvhzfdrtxdfiusoigmwqemgqyouqguamkug
yckaygceiqcgkiewkgokcmogsmacsgwoyswgaqwiagesuyeg
jvtpjhnxrfnhrzpvrhvbnlvhzdlbzhdfjrdhljfxlhpldnph
tnbdthxpztxhbrxjbhftvzfhkwuqkioysgoisaqwsiwcomwi
aemcaiegkseimkgymiqmeoqiuoceuiyqauyicsykciguwagi
lxvrljpzthpjtbrxtjxdpnxjbfndbjfhltfjnlhznjrnfprj
vpdfvjzrbvzjdtzldjhvxbhjmywsmkqauiqkucsyukyeqoyk
cgoeckgimugkomiaoksogqskwqegwkascwakeuamekiwycik
nzxtnlrbvjrlvdtzvlzfrpzldhpfdlhjnvhlpnjbpltphrtl
xrfhxlbtdxblfvbnfljxzdjloayuomscwksmweuawmagsqam
eiqgemikowimqokcqmuqisumysgiymcueycmgwcogmkyaekm
pbzvpntdxltnxfvbxnbhtrbnfjrhfnjlpxjnrpldrnvrjtvn
zthjzndvfzdnhxdphnlzbflnqcawqoueymuoygwcyociusco
gksigokmqykosqmesowskuwoauikaoewgaeoiyeqiomacgmo
rdbxrpvfznvpzhxdzpdjvtdphltjhplnrzlptrnftpxtlvxp
bvjlbpfxhbfpjzfrjpnbdhnpsecysqwgaowqaiyeaqekwueq
imukiqmosamqusoguqyumwyqcwkmcqgyicgqkagskqoceioq
tfdztrxhbpxrbjzfbrflxvfrjnvljrnptbnrvtphvrzvnxzr
dxlndrhzjdhrlbhtlrpdfjprugeausyicqysckagcsgmywgs
kowmksoqucoswuqiwsawoyaseymoesiakeismciumsqegkqs
vhfbvtzjdrztdlbhdthnzxhtlpxnltprvdptxvrjxtbxpzbt
fznpftjblfjtndjvntrfhlrtwigcwuakesauemcieuioayiu
mqyomuqswequywskyucyqacugaoqgukcmgkuoekwousgimsu
xjhdxvblftbvfndjfvjpbzjvnrzpnvrtxfrvzxtlzvdzrbdv
hbprhvldnhlvpflxpvthjntvykieywcmgucwgoekgwkqcakw
osaqowsuygswayumaweascewicqsiwmeoimwqgmyqwuikouw
zljfzxdnhvdxhpflhxlrdblxptbrpxtvzhtxbzvnbxfbtdfx
jdrtjxnfpjnxrhnzrxvjlpvxamkgayeoiweyiqgmiymsecmy
qucsqyuwaiuycawocygcuegykesukyogqkoysioasywkmqwy
bnlhbzfpjxfzjrhnjzntfdnzrvdtrzvxbjvzdbxpdzhdvfhz
lftvlzphrlpztjpbtzxlnrxzcomicagqkygaksiokaougeoa
sweusawyckwaecyqeaiewgiamguwmaqismqaukqcuaymosya

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: comica
Cipher: pbzvpn

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: comica
Cipher: 314323423111

Extended Methods:
Method #1

Plaintext: comica
method variations:
htrohfnywtnlsdbysqxigdxv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
c o m i c a 
3 4 2 4 3 1 
1 3 3 2 1 1 
They are then read out in rows:
342431133211
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: comica
Cipher: srclha

Read more ...
Method #3

Plaintext: comica
method variations:
qhsmal hsmalq smalqh
malqhs alqhsm lqhsma

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: comica

all 720 cipher variations:
comica comiac comcia comcai comaci comaic coimca coimac coicma coicam coiacm
coiamc cocima cociam cocmia cocmai cocami cocaim coaicm coaimc coacim coacmi
coamci coamic cmoica cmoiac cmocia cmocai cmoaci cmoaic cmioca cmioac cmicoa
cmicao cmiaco cmiaoc cmcioa cmciao cmcoia cmcoai cmcaoi cmcaio cmaico cmaioc
cmacio cmacoi cmaoci cmaoic cimoca cimoac cimcoa cimcao cimaco cimaoc ciomca
ciomac ciocma ciocam cioacm cioamc cicoma cicoam cicmoa cicmao cicamo cicaom
ciaocm ciaomc ciacom ciacmo ciamco ciamoc ccmioa ccmiao ccmoia ccmoai ccmaoi
ccmaio ccimoa ccimao ccioma ccioam cciaom cciamo ccoima ccoiam ccomia ccomai
ccoami ccoaim ccaiom ccaimo ccaoim ccaomi ccamoi ccamio camico camioc camcio
camcoi camoci camoic caimco caimoc caicmo caicom caiocm caiomc cacimo caciom
cacmio cacmoi cacomi cacoim caoicm caoimc caocim caocmi caomci caomic ocmica
ocmiac ocmcia ocmcai ocmaci ocmaic ocimca ocimac ocicma ocicam ociacm ociamc
occima occiam occmia occmai occami occaim ocaicm ocaimc ocacim ocacmi ocamci
ocamic omcica omciac omccia omccai omcaci omcaic omicca omicac omicca omicac
omiacc omiacc omcica omciac omccia omccai omcaci omcaic omaicc omaicc omacic
omacci omacci omacic oimcca oimcac oimcca oimcac oimacc oimacc oicmca oicmac
oiccma oiccam oicacm oicamc oiccma oiccam oicmca oicmac oicamc oicacm oiaccm
oiacmc oiaccm oiacmc oiamcc oiamcc ocmica ocmiac ocmcia ocmcai ocmaci ocmaic
ocimca ocimac ocicma ocicam ociacm ociamc occima occiam occmia occmai occami
occaim ocaicm ocaimc ocacim ocacmi ocamci ocamic oamicc oamicc oamcic oamcci
oamcci oamcic oaimcc oaimcc oaicmc oaiccm oaiccm oaicmc oacimc oacicm oacmic
oacmci oaccmi oaccim oacicm oacimc oaccim oaccmi oacmci oacmic mocica mociac
moccia moccai mocaci mocaic moicca moicac moicca moicac moiacc moiacc mocica
mociac moccia moccai mocaci mocaic moaicc moaicc moacic moacci moacci moacic
mcoica mcoiac mcocia mcocai mcoaci mcoaic mcioca mcioac mcicoa mcicao mciaco
mciaoc mccioa mcciao mccoia mccoai mccaoi mccaio mcaico mcaioc mcacio mcacoi
mcaoci mcaoic micoca micoac miccoa miccao micaco micaoc miocca miocac miocca
miocac mioacc mioacc micoca micoac miccoa miccao micaco micaoc miaocc miaocc
miacoc miacco miacco miacoc mccioa mcciao mccoia mccoai mccaoi mccaio mcicoa
mcicao mcioca mcioac mciaoc mciaco mcoica mcoiac mcocia mcocai mcoaci mcoaic
mcaioc mcaico mcaoic mcaoci mcacoi mcacio macico macioc maccio maccoi macoci
macoic maicco maicoc maicco maicoc maiocc maiocc macico macioc maccio maccoi
macoci macoic maoicc maoicc maocic maocci maocci maocic iomcca iomcac iomcca
iomcac iomacc iomacc iocmca iocmac ioccma ioccam iocacm iocamc ioccma ioccam
iocmca iocmac iocamc iocacm ioaccm ioacmc ioaccm ioacmc ioamcc ioamcc imocca
imocac imocca imocac imoacc imoacc imcoca imcoac imccoa imccao imcaco imcaoc
imccoa imccao imcoca imcoac imcaoc imcaco imacco imacoc imacco imacoc imaocc
imaocc icmoca icmoac icmcoa icmcao icmaco icmaoc icomca icomac icocma icocam
icoacm icoamc iccoma iccoam iccmoa iccmao iccamo iccaom icaocm icaomc icacom
icacmo icamco icamoc icmcoa icmcao icmoca icmoac icmaoc icmaco iccmoa iccmao
iccoma iccoam iccaom iccamo icocma icocam icomca icomac icoamc icoacm icacom
icacmo icaocm icaomc icamoc icamco iamcco iamcoc iamcco iamcoc iamocc iamocc
iacmco iacmoc iaccmo iaccom iacocm iacomc iaccmo iaccom iacmco iacmoc iacomc
iacocm iaoccm iaocmc iaoccm iaocmc iaomcc iaomcc comica comiac comcia comcai
comaci comaic coimca coimac coicma coicam coiacm coiamc cocima cociam cocmia
cocmai cocami cocaim coaicm coaimc coacim coacmi coamci coamic cmoica cmoiac
cmocia cmocai cmoaci cmoaic cmioca cmioac cmicoa cmicao cmiaco cmiaoc cmcioa
cmciao cmcoia cmcoai cmcaoi cmcaio cmaico cmaioc cmacio cmacoi cmaoci cmaoic
cimoca cimoac cimcoa cimcao cimaco cimaoc ciomca ciomac ciocma ciocam cioacm
cioamc cicoma cicoam cicmoa cicmao cicamo cicaom ciaocm ciaomc ciacom ciacmo
ciamco ciamoc ccmioa ccmiao ccmoia ccmoai ccmaoi ccmaio ccimoa ccimao ccioma
ccioam cciaom cciamo ccoima ccoiam ccomia ccomai ccoami ccoaim ccaiom ccaimo
ccaoim ccaomi ccamoi ccamio camico camioc camcio camcoi camoci camoic caimco
caimoc caicmo caicom caiocm caiomc cacimo caciom cacmio cacmoi cacomi cacoim
caoicm caoimc caocim caocmi caomci caomic aomicc aomicc aomcic aomcci aomcci
aomcic aoimcc aoimcc aoicmc aoiccm aoiccm aoicmc aocimc aocicm aocmic aocmci
aoccmi aoccim aocicm aocimc aoccim aoccmi aocmci aocmic amoicc amoicc amocic
amocci amocci amocic amiocc amiocc amicoc amicco amicco amicoc amcioc amcico
amcoic amcoci amccoi amccio amcico amcioc amccio amccoi amcoci amcoic aimocc
aimocc aimcoc aimcco aimcco aimcoc aiomcc aiomcc aiocmc aioccm aioccm aiocmc
aicomc aicocm aicmoc aicmco aiccmo aiccom aicocm aicomc aiccom aiccmo aicmco
aicmoc acmioc acmico acmoic acmoci acmcoi acmcio acimoc acimco aciomc aciocm
acicom acicmo acoimc acoicm acomic acomci acocmi acocim acciom accimo accoim
accomi accmoi accmio acmico acmioc acmcio acmcoi acmoci acmoic acimco acimoc
acicmo acicom aciocm aciomc accimo acciom accmio accmoi accomi accoim acoicm
acoimc acocim acocmi acomci acomic

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

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