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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: jinkle
cipher variations:
kjolmf lkpmng mlqnoh nmropi onspqj
potqrk qpursl rqvstm srwtun tsxuvo
utyvwp vuzwxq wvaxyr xwbyzs yxczat
zydabu azebcv bafcdw cbgdex dchefy
edifgz fejgha gfkhib hglijc ihmjkd

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: jinkle
Cipher: qrmpov

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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: jinkle
Cipher: BBBAA ABAAA ABBAA ABAAB 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: jinkle
cipher variations:
kjolmfczofinupozevmfotadevonwlwlohstgrovkjyhopgr
qxojczinodyhadoxupstorqxlkpmngdapgjovqpafwngpube
fwpoxmxmpituhspwlkzipqhsrypkdajopezibepyvqtupsry
mlqnohebqhkpwrqbgxohqvcfgxqpynynqjuvitqxmlajqrit
szqlebkpqfajcfqzwruvqtsznmropifcrilqxsrchypirwdg
hyrqzozorkvwjurynmbkrsjutarmfclqrgbkdgraxsvwruta
onspqjgdsjmrytsdizqjsxehizsrapapslwxkvszonclstkv
ubsngdmrshclehsbytwxsvubpotqrkhetknszutejarktyfi
jatsbqbqtmxylwtapodmtulwvctohenstidmfitczuxytwvc
qpurslifulotavufkbsluzgjkbutcrcrunyzmxubqpenuvmx
wdupifotujengjudavyzuxwdrqvstmjgvmpubwvglctmvahk
lcvudsdsvozanyvcrqfovwnyxevqjgpuvkfohkvebwzavyxe
srwtunkhwnqvcxwhmdunwbilmdwvetetwpabozwdsrgpwxoz
yfwrkhqvwlgpilwfcxabwzyftsxuvolixorwdyxinevoxcjm
nexwfufuxqbcpaxetshqxypazgxslirwxmhqjmxgdybcxazg
utyvwpmjypsxezyjofwpydknofyxgvgvyrcdqbyfutiryzqb
ahytmjsxynirknyhezcdybahvuzwxqnkzqtyfazkpgxqzelo
pgzyhwhwzsderczgvujszarcbizunktyzojslozifadezcbi
wvaxyrolaruzgbalqhyrafmpqhazixixatefsdahwvktabsd
cjavoluzapktmpajgbefadcjxwbyzspmbsvahcbmrizsbgnq
ribajyjybufgtebixwlubctedkbwpmvabqlunqbkhcfgbedk
yxczatqnctwbidcnsjatchorsjcbkzkzcvghufcjyxmvcduf
elcxqnwbcrmvorclidghcfelzydaburoduxcjedotkbudips
tkdclaladwhivgdkzynwdevgfmdyroxcdsnwpsdmjehidgfm
azebcvspevydkfepulcvejqtuledmbmbexijwhelazoxefwh
gnezspydetoxqtenkfijehgnbafcdwtqfwzelgfqvmdwfkru
vmfencncfyjkxifmbapyfgxihofatqzefupyrufolgjkfiho
cbgdexurgxafmhgrwnexglsvwngfododgzklyjgncbqzghyj
ipgburafgvqzsvgpmhklgjipdchefyvshybgnihsxofyhmtw
xohgpepehalmzkhodcrahizkjqhcvsbghwratwhqnilmhkjq
edifgzwtizchojitypgzinuxypihqfqfibmnalipedsbijal
kridwtchixsbuxirojmnilkrfejghaxujadipkjuzqhajovy
zqjirgrgjcnobmjqfetcjkbmlsjexudijytcvyjspknojmls
gfkhibyvkbejqlkvaribkpwzarkjshshkdopcnkrgfudklcn
mtkfyvejkzudwzktqlopknmthglijczwlcfkrmlwbsjclqxa
bslktitilepqdolshgvelmdonulgzwfklavexalurmpqlonu
ihmjkdaxmdglsnmxctkdmrybctmlujujmfqrepmtihwfmnep
ovmhaxglmbwfybmvsnqrmpovjinklebynehmtonydulenszc
dunmvkvkngrsfqnujixgnofqpwnibyhmncxgzcnwtorsnqpw

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: jinkle
Cipher: wvaxyr

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: jinkle
Cipher: 424233521351

Extended Methods:
Method #1

Plaintext: jinkle
method variations:
oospqkttxuvpyyczauddhefz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
j i n k l e 
4 4 3 5 1 5 
2 2 3 2 3 1 
They are then read out in rows:
443515223231
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: jinkle
Cipher: txvghc

Read more ...
Method #3

Plaintext: jinkle
method variations:
rmxbxq mxbxqr xbxqrm
bxqrmx xqrmxb qrmxbx

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: jinkle

all 720 cipher variations:
jinkle jinkel jinlke jinlek jinelk jinekl jiknle jiknel jiklne jiklen jikeln
jikenl jilkne jilken jilnke jilnek jilenk jilekn jiekln jieknl jielkn jielnk
jienlk jienkl jnikle jnikel jnilke jnilek jnielk jniekl jnkile jnkiel jnklie
jnklei jnkeli jnkeil jnlkie jnlkei jnlike jnliek jnleik jnleki jnekli jnekil
jnelki jnelik jneilk jneikl jknile jkniel jknlie jknlei jkneli jkneil jkinle
jkinel jkilne jkilen jkieln jkienl jkline jklien jklnie jklnei jkleni jklein
jkeiln jkeinl jkelin jkelni jkenli jkenil jlnkie jlnkei jlnike jlniek jlneik
jlneki jlknie jlknei jlkine jlkien jlkein jlkeni jlikne jliken jlinke jlinek
jlienk jliekn jlekin jlekni jleikn jleink jlenik jlenki jenkli jenkil jenlki
jenlik jenilk jenikl jeknli jeknil jeklni jeklin jekiln jekinl jelkni jelkin
jelnki jelnik jelink jelikn jeikln jeiknl jeilkn jeilnk jeinlk jeinkl ijnkle
ijnkel ijnlke ijnlek ijnelk ijnekl ijknle ijknel ijklne ijklen ijkeln ijkenl
ijlkne ijlken ijlnke ijlnek ijlenk ijlekn ijekln ijeknl ijelkn ijelnk ijenlk
ijenkl injkle injkel injlke injlek injelk injekl inkjle inkjel inklje inklej
inkelj inkejl inlkje inlkej inljke inljek inlejk inlekj ineklj inekjl inelkj
ineljk inejlk inejkl iknjle iknjel iknlje iknlej iknelj iknejl ikjnle ikjnel
ikjlne ikjlen ikjeln ikjenl ikljne ikljen iklnje iklnej iklenj iklejn ikejln
ikejnl ikeljn ikelnj ikenlj ikenjl ilnkje ilnkej ilnjke ilnjek ilnejk ilnekj
ilknje ilknej ilkjne ilkjen ilkejn ilkenj iljkne iljken iljnke iljnek iljenk
iljekn ilekjn ileknj ilejkn ilejnk ilenjk ilenkj ienklj ienkjl ienlkj ienljk
ienjlk ienjkl ieknlj ieknjl ieklnj iekljn iekjln iekjnl ielknj ielkjn ielnkj
ielnjk ieljnk ieljkn iejkln iejknl iejlkn iejlnk iejnlk iejnkl nijkle nijkel
nijlke nijlek nijelk nijekl nikjle nikjel niklje niklej nikelj nikejl nilkje
nilkej niljke niljek nilejk nilekj nieklj niekjl nielkj nieljk niejlk niejkl
njikle njikel njilke njilek njielk njiekl njkile njkiel njklie njklei njkeli
njkeil njlkie njlkei njlike njliek njleik njleki njekli njekil njelki njelik
njeilk njeikl nkjile nkjiel nkjlie nkjlei nkjeli nkjeil nkijle nkijel nkilje
nkilej nkielj nkiejl nklije nkliej nkljie nkljei nkleji nkleij nkeilj nkeijl
nkelij nkelji nkejli nkejil nljkie nljkei nljike nljiek nljeik nljeki nlkjie
nlkjei nlkije nlkiej nlkeij nlkeji nlikje nlikej nlijke nlijek nliejk nliekj
nlekij nlekji nleikj nleijk nlejik nlejki nejkli nejkil nejlki nejlik nejilk
nejikl nekjli nekjil neklji neklij nekilj nekijl nelkji nelkij neljki neljik
nelijk nelikj neiklj neikjl neilkj neiljk neijlk neijkl kinjle kinjel kinlje
kinlej kinelj kinejl kijnle kijnel kijlne kijlen kijeln kijenl kiljne kiljen
kilnje kilnej kilenj kilejn kiejln kiejnl kieljn kielnj kienlj kienjl knijle
knijel knilje knilej knielj kniejl knjile knjiel knjlie knjlei knjeli knjeil
knljie knljei knlije knliej knleij knleji knejli knejil knelji knelij kneilj
kneijl kjnile kjniel kjnlie kjnlei kjneli kjneil kjinle kjinel kjilne kjilen
kjieln kjienl kjline kjlien kjlnie kjlnei kjleni kjlein kjeiln kjeinl kjelin
kjelni kjenli kjenil klnjie klnjei klnije klniej klneij klneji kljnie kljnei
kljine kljien kljein kljeni klijne klijen klinje klinej klienj kliejn klejin
klejni kleijn kleinj klenij klenji kenjli kenjil kenlji kenlij kenilj kenijl
kejnli kejnil kejlni kejlin kejiln kejinl keljni keljin kelnji kelnij kelinj
kelijn keijln keijnl keiljn keilnj keinlj keinjl linkje linkej linjke linjek
linejk linekj liknje liknej likjne likjen likejn likenj lijkne lijken lijnke
lijnek lijenk lijekn liekjn lieknj liejkn liejnk lienjk lienkj lnikje lnikej
lnijke lnijek lniejk lniekj lnkije lnkiej lnkjie lnkjei lnkeji lnkeij lnjkie
lnjkei lnjike lnjiek lnjeik lnjeki lnekji lnekij lnejki lnejik lneijk lneikj
lknije lkniej lknjie lknjei lkneji lkneij lkinje lkinej lkijne lkijen lkiejn
lkienj lkjine lkjien lkjnie lkjnei lkjeni lkjein lkeijn lkeinj lkejin lkejni
lkenji lkenij ljnkie ljnkei ljnike ljniek ljneik ljneki ljknie ljknei ljkine
ljkien ljkein ljkeni ljikne ljiken ljinke ljinek ljienk ljiekn ljekin ljekni
ljeikn ljeink ljenik ljenki lenkji lenkij lenjki lenjik lenijk lenikj leknji
leknij lekjni lekjin lekijn lekinj lejkni lejkin lejnki lejnik lejink lejikn
leikjn leiknj leijkn leijnk leinjk leinkj einklj einkjl einlkj einljk einjlk
einjkl eiknlj eiknjl eiklnj eikljn eikjln eikjnl eilknj eilkjn eilnkj eilnjk
eiljnk eiljkn eijkln eijknl eijlkn eijlnk eijnlk eijnkl eniklj enikjl enilkj
eniljk enijlk enijkl enkilj enkijl enklij enklji enkjli enkjil enlkij enlkji
enlikj enlijk enljik enljki enjkli enjkil enjlki enjlik enjilk enjikl eknilj
eknijl eknlij eknlji eknjli eknjil ekinlj ekinjl ekilnj ekiljn ekijln ekijnl
eklinj eklijn eklnij eklnji ekljni ekljin ekjiln ekjinl ekjlin ekjlni ekjnli
ekjnil elnkij elnkji elnikj elnijk elnjik elnjki elknij elknji elkinj elkijn
elkjin elkjni eliknj elikjn elinkj elinjk elijnk elijkn eljkin eljkni eljikn
eljink eljnik eljnki ejnkli ejnkil ejnlki ejnlik ejnilk ejnikl ejknli ejknil
ejklni ejklin ejkiln ejkinl ejlkni ejlkin ejlnki ejlnik ejlink ejlikn ejikln
ejiknl ejilkn ejilnk ejinlk ejinkl

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