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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: dworak
cipher variations:
expsbl fyqtcm gzrudn hasveo ibtwfp
jcuxgq kdvyhr lewzis mfxajt ngybku
ohzclv piadmw qjbenx rkcfoy sldgpz
tmehqa unfirb vogjsc wphktd xqilue
yrjmvf zsknwg atloxh bumpyi cvnqzj

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: dworak
Cipher: wdlizp

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: dworak
Cipher: AAABB BABAA ABBAB BAAAA AAAAA ABAAB

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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: dworak
cipher variations:
expsblkprabfqhtibzwzvqbtcrxybnijzgbhutdwbvalfebp
gdhmbjmvjubdsnlcbxyfnkbrfyqtcmlqsbcgriujcaxawrcu
dsyzcojkahcivuexcwbmgfcqheincknwkvcetomdcyzgolcs
gzrudnmrtcdhsjvkdbybxsdvetzadpklbidjwvfydxcnhgdr
ifjodloxlwdfupnedzahpmdthasveonsudeitkwleczcytew
fuabeqlmcjekxwgzeydoihesjgkpempymxegvqofeabiqneu
ibtwfpotvefjulxmfdadzufxgvbcfrmndkflyxhafzepjift
khlqfnqznyfhwrpgfbcjrofvjcuxgqpuwfgkvmyngebeavgy
hwcdgsnoelgmzyibgafqkjgulimrgoraozgixsqhgcdkspgw
kdvyhrqvxghlwnzohfcfbwhzixdehtopfmhnazjchbgrlkhv
mjnshpsbpahjytrihdeltqhxlewzisrwyhimxoapigdgcxia
jyefiupqgniobakdichsmliwnkotiqtcqbikzusjiefmuriy
mfxajtsxzijnypbqjhehdyjbkzfgjvqrhojpcblejditnmjx
olpujrudrcjlavtkjfgnvsjzngybkutyajkozqcrkifiezkc
laghkwrsipkqdcmfkejuonkypmqvksvesdkmbwulkghowtka
ohzclvuzbklpardsljgjfaldmbhilxstjqlrednglfkvpolz
qnrwltwftelncxvmlhipxulbpiadmwvaclmqbsetmkhkgbme
ncijmytukrmsfeohmglwqpmarosxmuxgufmodywnmijqyvmc
qjbenxwbdmnrctfunlilhcnfodjknzuvlsntgfpinhmxrqnb
sptynvyhvgnpezxonjkrzwndrkcfoyxcenosdugvomjmidog
pekloavwmtouhgqjoinysroctquzowziwhoqfaypoklsaxoe
sldgpzydfoptevhwpnknjephqflmpbwxnupvihrkpjoztspd
urvapxajxiprgbzqplmtbypftmehqazegpqufwixqolokfqi
rgmnqcxyovqwjislqkpautqevswbqybkyjqshcarqmnuczqg
unfirbafhqrvgxjyrpmplgrjshnordyzpwrxkjtmrlqbvurf
wtxcrzclzkrtidbsrnovdarhvogjscbgirswhykzsqnqmhsk
tiopsezaqxsylkunsmrcwvsgxuydsadmalsujectsopwebsi
wphktdchjstxizlatrornitlujpqtfabrytzmlvotnsdxwth
yvzetbenbmtvkfdutpqxfctjxqiluediktuyjambuspsojum
vkqrugbcszuanmwpuoteyxuizwafucfocnuwlgevuqrygduk
yrjmvfejluvzkbncvtqtpkvnwlrsvhcdtavbonxqvpufzyvj
axbgvdgpdovxmhfwvrszhevlzsknwgfkmvwalcodwuruqlwo
xmstwideubwcpoyrwqvgazwkbychwehqepwynigxwstaifwm
atloxhglnwxbmdpexvsvrmxpyntuxjefvcxdqpzsxrwhbaxl
czdixfirfqxzojhyxtubjgxnbumpyihmoxycneqfywtwsnyq
zouvykfgwdyerqatysxicbymdaejygjsgryapkizyuvckhyo
cvnqzjinpyzdofrgzxuxtozrapvwzlghxezfsrbuztyjdczn
ebfkzhkthszbqljazvwdlizpdworakjoqzaepgshayvyupas
bqwxamhiyfagtscvauzkedaofcglailuitacrmkbawxemjaq

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: dworak
Cipher: qjbenx

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: dworak
Cipher: 412543241152

Extended Methods:
Method #1

Plaintext: dworak
method variations:
ibtwfpogyblutmdgqzyrimve

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d w o r a k 
4 2 4 2 1 5 
1 5 3 4 1 2 
They are then read out in rows:
424215153412
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: dworak
Cipher: iivvsf

Read more ...
Method #3

Plaintext: dworak
method variations:
fuhdvr uhdvrf hdvrfu
dvrfuh vrfuhd rfuhdv

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: dworak

all 720 cipher variations:
dworak dworka dwoark dwoakr dwokar dwokra dwroak dwroka dwraok dwrako dwrkao
dwrkoa dwarok dwarko dwaork dwaokr dwakor dwakro dwkrao dwkroa dwkaro dwkaor
dwkoar dwkora dowrak dowrka dowark dowakr dowkar dowkra dorwak dorwka dorawk
dorakw dorkaw dorkwa doarwk doarkw doawrk doawkr doakwr doakrw dokraw dokrwa
dokarw dokawr dokwar dokwra drowak drowka droawk droakw drokaw drokwa drwoak
drwoka drwaok drwako drwkao drwkoa drawok drawko draowk draokw drakow drakwo
drkwao drkwoa drkawo drkaow drkoaw drkowa daorwk daorkw daowrk daowkr daokwr
daokrw darowk darokw darwok darwko darkwo darkow dawrok dawrko dawork dawokr
dawkor dawkro dakrwo dakrow dakwro dakwor dakowr dakorw dkoraw dkorwa dkoarw
dkoawr dkowar dkowra dkroaw dkrowa dkraow dkrawo dkrwao dkrwoa dkarow dkarwo
dkaorw dkaowr dkawor dkawro dkwrao dkwroa dkwaro dkwaor dkwoar dkwora wdorak
wdorka wdoark wdoakr wdokar wdokra wdroak wdroka wdraok wdrako wdrkao wdrkoa
wdarok wdarko wdaork wdaokr wdakor wdakro wdkrao wdkroa wdkaro wdkaor wdkoar
wdkora wodrak wodrka wodark wodakr wodkar wodkra wordak wordka woradk worakd
workad workda woardk woarkd woadrk woadkr woakdr woakrd wokrad wokrda wokard
wokadr wokdar wokdra wrodak wrodka wroadk wroakd wrokad wrokda wrdoak wrdoka
wrdaok wrdako wrdkao wrdkoa wradok wradko wraodk wraokd wrakod wrakdo wrkdao
wrkdoa wrkado wrkaod wrkoad wrkoda waordk waorkd waodrk waodkr waokdr waokrd
warodk warokd wardok wardko warkdo warkod wadrok wadrko wadork wadokr wadkor
wadkro wakrdo wakrod wakdro wakdor wakodr wakord wkorad wkorda wkoard wkoadr
wkodar wkodra wkroad wkroda wkraod wkrado wkrdao wkrdoa wkarod wkardo wkaord
wkaodr wkador wkadro wkdrao wkdroa wkdaro wkdaor wkdoar wkdora owdrak owdrka
owdark owdakr owdkar owdkra owrdak owrdka owradk owrakd owrkad owrkda owardk
owarkd owadrk owadkr owakdr owakrd owkrad owkrda owkard owkadr owkdar owkdra
odwrak odwrka odwark odwakr odwkar odwkra odrwak odrwka odrawk odrakw odrkaw
odrkwa odarwk odarkw odawrk odawkr odakwr odakrw odkraw odkrwa odkarw odkawr
odkwar odkwra ordwak ordwka ordawk ordakw ordkaw ordkwa orwdak orwdka orwadk
orwakd orwkad orwkda orawdk orawkd oradwk oradkw orakdw orakwd orkwad orkwda
orkawd orkadw orkdaw orkdwa oadrwk oadrkw oadwrk oadwkr oadkwr oadkrw oardwk
oardkw oarwdk oarwkd oarkwd oarkdw oawrdk oawrkd oawdrk oawdkr oawkdr oawkrd
oakrwd oakrdw oakwrd oakwdr oakdwr oakdrw okdraw okdrwa okdarw okdawr okdwar
okdwra okrdaw okrdwa okradw okrawd okrwad okrwda okardw okarwd okadrw okadwr
okawdr okawrd okwrad okwrda okward okwadr okwdar okwdra rwodak rwodka rwoadk
rwoakd rwokad rwokda rwdoak rwdoka rwdaok rwdako rwdkao rwdkoa rwadok rwadko
rwaodk rwaokd rwakod rwakdo rwkdao rwkdoa rwkado rwkaod rwkoad rwkoda rowdak
rowdka rowadk rowakd rowkad rowkda rodwak rodwka rodawk rodakw rodkaw rodkwa
roadwk roadkw roawdk roawkd roakwd roakdw rokdaw rokdwa rokadw rokawd rokwad
rokwda rdowak rdowka rdoawk rdoakw rdokaw rdokwa rdwoak rdwoka rdwaok rdwako
rdwkao rdwkoa rdawok rdawko rdaowk rdaokw rdakow rdakwo rdkwao rdkwoa rdkawo
rdkaow rdkoaw rdkowa raodwk raodkw raowdk raowkd raokwd raokdw radowk radokw
radwok radwko radkwo radkow rawdok rawdko rawodk rawokd rawkod rawkdo rakdwo
rakdow rakwdo rakwod rakowd rakodw rkodaw rkodwa rkoadw rkoawd rkowad rkowda
rkdoaw rkdowa rkdaow rkdawo rkdwao rkdwoa rkadow rkadwo rkaodw rkaowd rkawod
rkawdo rkwdao rkwdoa rkwado rkwaod rkwoad rkwoda awordk aworkd awodrk awodkr
awokdr awokrd awrodk awrokd awrdok awrdko awrkdo awrkod awdrok awdrko awdork
awdokr awdkor awdkro awkrdo awkrod awkdro awkdor awkodr awkord aowrdk aowrkd
aowdrk aowdkr aowkdr aowkrd aorwdk aorwkd aordwk aordkw aorkdw aorkwd aodrwk
aodrkw aodwrk aodwkr aodkwr aodkrw aokrdw aokrwd aokdrw aokdwr aokwdr aokwrd
arowdk arowkd arodwk arodkw arokdw arokwd arwodk arwokd arwdok arwdko arwkdo
arwkod ardwok ardwko ardowk ardokw ardkow ardkwo arkwdo arkwod arkdwo arkdow
arkodw arkowd adorwk adorkw adowrk adowkr adokwr adokrw adrowk adrokw adrwok
adrwko adrkwo adrkow adwrok adwrko adwork adwokr adwkor adwkro adkrwo adkrow
adkwro adkwor adkowr adkorw akordw akorwd akodrw akodwr akowdr akowrd akrodw
akrowd akrdow akrdwo akrwdo akrwod akdrow akdrwo akdorw akdowr akdwor akdwro
akwrdo akwrod akwdro akwdor akwodr akword kworad kworda kwoard kwoadr kwodar
kwodra kwroad kwroda kwraod kwrado kwrdao kwrdoa kwarod kwardo kwaord kwaodr
kwador kwadro kwdrao kwdroa kwdaro kwdaor kwdoar kwdora kowrad kowrda koward
kowadr kowdar kowdra korwad korwda korawd koradw kordaw kordwa koarwd koardw
koawrd koawdr koadwr koadrw kodraw kodrwa kodarw kodawr kodwar kodwra krowad
krowda kroawd kroadw krodaw krodwa krwoad krwoda krwaod krwado krwdao krwdoa
krawod krawdo kraowd kraodw kradow kradwo krdwao krdwoa krdawo krdaow krdoaw
krdowa kaorwd kaordw kaowrd kaowdr kaodwr kaodrw karowd karodw karwod karwdo
kardwo kardow kawrod kawrdo kaword kawodr kawdor kawdro kadrwo kadrow kadwro
kadwor kadowr kadorw kdoraw kdorwa kdoarw kdoawr kdowar kdowra kdroaw kdrowa
kdraow kdrawo kdrwao kdrwoa kdarow kdarwo kdaorw kdaowr kdawor kdawro kdwrao
kdwroa kdwaro kdwaor kdwoar kdwora

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

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