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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: haycap
cipher variations:
ibzdbq jcaecr kdbfds lecget mfdhfu
ngeigv ohfjhw pigkix qjhljy rkimkz
sljnla tmkomb unlpnc vomqod wpnrpe
xqosqf yrptrg zsqush atrvti buswuj
cvtxvk dwuywl exvzxm fywayn gzxbzo

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: haycap
Cipher: szbxzk

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: haycap
Cipher: AABBB AAAAA BABBA AAABA AAAAA ABBBA

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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: haycap
cipher variations:
ibzdbqwbvhbukbrlbyybnpbcmbjtbgabfxbkcbxfbsqbtjbw
ebpnbasblrbegbhvbiubdzbmjcaecrxcwicvlcsmczzcoqcd
nckuchbcgycldcygctrcukcxfcqocbtcmscfhciwcjvceacn
kdbfdsydxjdwmdtndaadprdeodlvdicdhzdmedzhdusdvldy
gdrpdcudntdgidjxdkwdfbdolecgetzeykexneuoebbeqsef
pemwejdeiaenfeaievtewmezhesqedveouehjekyelxegcep
mfdhfuafzlfyofvpfccfrtfgqfnxfkefjbfogfbjfwufxnfa
iftrfewfpvfikflzfmyfhdfqngeigvbgamgzpgwqgddgsugh
rgoyglfgkcgphgckgxvgyogbjgusgfxgqwgjlgmagnzgiegr
ohfjhwchbnhaqhxrheehtvhishpzhmghldhqihdlhywhzphc
khvthgyhrxhkmhnbhoahjfhspigkixdicoibriysiffiuwij
tiqainhimeirjiemizxiaqidliwuihzisyilniocipbikgit
qjhljyejdpjcsjztjggjvxjkujrbjoijnfjskjfnjayjbrje
mjxvjiajtzjmojpdjqcjlhjurkimkzfkeqkdtkaukhhkwykl
vksckpjkogktlkgokbzkcskfnkywkjbkuaknpkqekrdkmikv
sljnlaglfrleulbvliilxzlmwltdlqklphlumlhplcaldtlg
olzxlkclvbloqlrflselnjlwtmkombhmgsmfvmcwmjjmyamn
xmuemrlmqimvnmiqmdbmeumhpmaymldmwcmprmsgmtfmokmx
unlpncinhtngwndxnkknzbnoynvfnsmnrjnwonjrnecnfvni
qnbznmenxdnqsnthnugnplnyvomqodjoiuohxoeyolloacop
zowgotnoskoxpoksofdogwojrocaonfoyeortouiovhoqmoz
wpnrpekpjvpiypfzpmmpbdpqapxhpuoptlpyqpltpgephxpk
spdbpogpzfpsupvjpwiprnpaxqosqflqkwqjzqgaqnnqceqr
bqyiqvpqumqzrqmuqhfqiyqltqecqphqagqtvqwkqxjqsoqb
yrptrgmrlxrkarhbroordfrscrzjrwqrvnrasrnvrigrjzrm
urfdrqirbhruwrxlrykrtprczsqushnsmyslbsicsppsegst
dsaksxrswosbtsowsjhskasnvsgesrjscisvxsymszlsuqsd
atrvtiotnztmctjdtqqtfhtuetbltystxptcutpxtkitlbto
wthftsktdjtwytzntamtvrtebuswujpuoaundukeurrugiuv
fucmuztuyqudvuqyuljumcupxuigutluekuxzuaoubnuwsuf
cvtxvkqvpbvoevlfvssvhjvwgvdnvauvzrvewvrzvmkvndvq
yvjhvumvflvyavbpvcovxtvgdwuywlrwqcwpfwmgwttwikwx
hweowbvwaswfxwsawnlwoewrzwkiwvnwgmwzbwcqwdpwyuwh
exvzxmsxrdxqgxnhxuuxjlxyixfpxcwxbtxgyxtbxomxpfxs
axljxwoxhnxacxdrxeqxzvxifywayntyseyrhyoiyvvykmyz
jygqydxycuyhzyucypnyqgytbymkyxpyioybdyesyfryawyj
gzxbzouztfzsizpjzwwzlnzakzhrzeyzdvziazvdzqozrhzu
cznlzyqzjpzcezftzgszbxzkhaycapvaugatjaqkaxxamoab
laisafzaewajbawearpasiavdaomazrakqadfaguahtacyal

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: haycap
Cipher: unlpnc

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: haycap
Cipher: 321145311153

Extended Methods:
Method #1

Plaintext: haycap
method variations:
nfdhfuslinlzxqosqecvtxvk

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
h a y c a p 
3 1 4 3 1 5 
2 1 5 1 1 3 
They are then read out in rows:
314315215113
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: haycap
Cipher: covbel

Read more ...
Method #3

Plaintext: haycap
method variations:
bqpavn qpavnb pavnbq
avnbqp vnbqpa nbqpav

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: haycap

all 720 cipher variations:
haycap haycpa hayacp hayapc haypac haypca hacyap hacypa hacayp hacapy hacpay
hacpya haacyp haacpy haaycp haaypc haapyc haapcy hapcay hapcya hapacy hapayc
hapyac hapyca hyacap hyacpa hyaacp hyaapc hyapac hyapca hycaap hycapa hycaap
hycapa hycpaa hycpaa hyacap hyacpa hyaacp hyaapc hyapac hyapca hypcaa hypcaa
hypaca hypaac hypaac hypaca hcyaap hcyapa hcyaap hcyapa hcypaa hcypaa hcayap
hcaypa hcaayp hcaapy hcapay hcapya hcaayp hcaapy hcayap hcaypa hcapya hcapay
hcpaay hcpaya hcpaay hcpaya hcpyaa hcpyaa haycap haycpa hayacp hayapc haypac
haypca hacyap hacypa hacayp hacapy hacpay hacpya haacyp haacpy haaycp haaypc
haapyc haapcy hapcay hapcya hapacy hapayc hapyac hapyca hpycaa hpycaa hpyaca
hpyaac hpyaac hpyaca hpcyaa hpcyaa hpcaya hpcaay hpcaay hpcaya hpacya hpacay
hpayca hpayac hpaayc hpaacy hpacay hpacya hpaacy hpaayc hpayac hpayca ahycap
ahycpa ahyacp ahyapc ahypac ahypca ahcyap ahcypa ahcayp ahcapy ahcpay ahcpya
ahacyp ahacpy ahaycp ahaypc ahapyc ahapcy ahpcay ahpcya ahpacy ahpayc ahpyac
ahpyca ayhcap ayhcpa ayhacp ayhapc ayhpac ayhpca aychap aychpa aycahp aycaph
aycpah aycpha ayachp ayacph ayahcp ayahpc ayaphc ayapch aypcah aypcha aypach
aypahc ayphac ayphca acyhap acyhpa acyahp acyaph acypah acypha achyap achypa
achayp achapy achpay achpya acahyp acahpy acayhp acayph acapyh acaphy acphay
acphya acpahy acpayh acpyah acpyha aaychp aaycph aayhcp aayhpc aayphc aaypch
aacyhp aacyph aachyp aachpy aacphy aacpyh aahcyp aahcpy aahycp aahypc aahpyc
aahpcy aapchy aapcyh aaphcy aaphyc aapyhc aapych apycah apycha apyach apyahc
apyhac apyhca apcyah apcyha apcayh apcahy apchay apchya apacyh apachy apaych
apayhc apahyc apahcy aphcay aphcya aphacy aphayc aphyac aphyca yahcap yahcpa
yahacp yahapc yahpac yahpca yachap yachpa yacahp yacaph yacpah yacpha yaachp
yaacph yaahcp yaahpc yaaphc yaapch yapcah yapcha yapach yapahc yaphac yaphca
yhacap yhacpa yhaacp yhaapc yhapac yhapca yhcaap yhcapa yhcaap yhcapa yhcpaa
yhcpaa yhacap yhacpa yhaacp yhaapc yhapac yhapca yhpcaa yhpcaa yhpaca yhpaac
yhpaac yhpaca ychaap ychapa ychaap ychapa ychpaa ychpaa ycahap ycahpa ycaahp
ycaaph ycapah ycapha ycaahp ycaaph ycahap ycahpa ycapha ycapah ycpaah ycpaha
ycpaah ycpaha ycphaa ycphaa yahcap yahcpa yahacp yahapc yahpac yahpca yachap
yachpa yacahp yacaph yacpah yacpha yaachp yaacph yaahcp yaahpc yaaphc yaapch
yapcah yapcha yapach yapahc yaphac yaphca yphcaa yphcaa yphaca yphaac yphaac
yphaca ypchaa ypchaa ypcaha ypcaah ypcaah ypcaha ypacha ypacah ypahca ypahac
ypaahc ypaach ypacah ypacha ypaach ypaahc ypahac ypahca cayhap cayhpa cayahp
cayaph caypah caypha cahyap cahypa cahayp cahapy cahpay cahpya caahyp caahpy
caayhp caayph caapyh caaphy caphay caphya capahy capayh capyah capyha cyahap
cyahpa cyaahp cyaaph cyapah cyapha cyhaap cyhapa cyhaap cyhapa cyhpaa cyhpaa
cyahap cyahpa cyaahp cyaaph cyapah cyapha cyphaa cyphaa cypaha cypaah cypaah
cypaha chyaap chyapa chyaap chyapa chypaa chypaa chayap chaypa chaayp chaapy
chapay chapya chaayp chaapy chayap chaypa chapya chapay chpaay chpaya chpaay
chpaya chpyaa chpyaa cayhap cayhpa cayahp cayaph caypah caypha cahyap cahypa
cahayp cahapy cahpay cahpya caahyp caahpy caayhp caayph caapyh caaphy caphay
caphya capahy capayh capyah capyha cpyhaa cpyhaa cpyaha cpyaah cpyaah cpyaha
cphyaa cphyaa cphaya cphaay cphaay cphaya cpahya cpahay cpayha cpayah cpaayh
cpaahy cpahay cpahya cpaahy cpaayh cpayah cpayha aaychp aaycph aayhcp aayhpc
aayphc aaypch aacyhp aacyph aachyp aachpy aacphy aacpyh aahcyp aahcpy aahycp
aahypc aahpyc aahpcy aapchy aapcyh aaphcy aaphyc aapyhc aapych ayachp ayacph
ayahcp ayahpc ayaphc ayapch aycahp aycaph aychap aychpa aycpha aycpah ayhcap
ayhcpa ayhacp ayhapc ayhpac ayhpca aypcha aypcah ayphca ayphac aypahc aypach
acyahp acyaph acyhap acyhpa acypha acypah acayhp acayph acahyp acahpy acaphy
acapyh achayp achapy achyap achypa achpya achpay acpahy acpayh acphay acphya
acpyha acpyah ahycap ahycpa ahyacp ahyapc ahypac ahypca ahcyap ahcypa ahcayp
ahcapy ahcpay ahcpya ahacyp ahacpy ahaycp ahaypc ahapyc ahapcy ahpcay ahpcya
ahpacy ahpayc ahpyac ahpyca apycha apycah apyhca apyhac apyahc apyach apcyha
apcyah apchya apchay apcahy apcayh aphcya aphcay aphyca aphyac aphayc aphacy
apachy apacyh apahcy apahyc apayhc apaych paycah paycha payach payahc payhac
payhca pacyah pacyha pacayh pacahy pachay pachya paacyh paachy paaych paayhc
paahyc paahcy pahcay pahcya pahacy pahayc pahyac pahyca pyacah pyacha pyaach
pyaahc pyahac pyahca pycaah pycaha pycaah pycaha pychaa pychaa pyacah pyacha
pyaach pyaahc pyahac pyahca pyhcaa pyhcaa pyhaca pyhaac pyhaac pyhaca pcyaah
pcyaha pcyaah pcyaha pcyhaa pcyhaa pcayah pcayha pcaayh pcaahy pcahay pcahya
pcaayh pcaahy pcayah pcayha pcahya pcahay pchaay pchaya pchaay pchaya pchyaa
pchyaa paycah paycha payach payahc payhac payhca pacyah pacyha pacayh pacahy
pachay pachya paacyh paachy paaych paayhc paahyc paahcy pahcay pahcya pahacy
pahayc pahyac pahyca phycaa phycaa phyaca phyaac phyaac phyaca phcyaa phcyaa
phcaya phcaay phcaay phcaya phacya phacay phayca phayac phaayc phaacy phacay
phacya phaacy phaayc phayac phayca

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

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