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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: kharua
cipher variations:
libsvb mjctwc nkduxd olevye pmfwzf
qngxag rohybh spizci tqjadj urkbek
vslcfl wtmdgm xunehn yvofio zwpgjp
axqhkq byrilr czsjms datknt ebulou
fcvmpv gdwnqw hexorx ifypsy jgzqtz

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: kharua
Cipher: pszifz

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: kharua
Cipher: ABAAB AABBB AAAAA BAAAA BAABB 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: kharua
cipher variations:
libsvbfwbajbzkbixbtybqlbnmbyzbhabgnbvcbwpbpqbedb
jebmrbdsbufbxgbctbrubkhbmjctwcgxcbkcalcjycuzcrmc
onczacibchocwdcxqcqrcfeckfcnscetcvgcyhcducsvclic
nkduxdhydcldbmdkzdvadsndpodabdjcdipdxedyrdrsdgfd
lgdotdfudwhdzidevdtwdmjdolevyeizedmecnelaewbetoe
qpebcekdejqeyfezsestehgemhepuegvexieajefweuxenke
pmfwzfjafenfdofmbfxcfupfrqfcdflefkrfzgfatftufihf
nifqvfhwfyjfbkfgxfvyfolfqngxagkbgfogepgncgydgvqg
srgdegmfglsgahgbuguvgjigojgrwgixgzkgclghygwzgpmg
rohybhlchgphfqhodhzehwrhtshefhnghmthbihcvhvwhkjh
pkhsxhjyhalhdmhizhxahqnhspizcimdihqigripeiafixsi
utifgiohinuicjidwiwxilkiqlityikzibmienijaiybiroi
tqjadjnejirjhsjqfjbgjytjvujghjpijovjdkjexjxyjmlj
rmjuzjlajcnjfojkbjzcjspjurkbekofkjskitkrgkchkzuk
wvkhikqjkpwkelkfykyzknmksnkvakmbkdokgpklckadktqk
vslcflpglktljulshldilavlxwlijlrklqxlfmlgzlzalonl
tolwblncleplhqlmdlbelurlwtmdgmqhmlumkvmtimejmbwm
yxmjkmslmrymgnmhamabmpomupmxcmodmfqmirmnemcfmvsm
xunehnrinmvnlwnujnfkncxnzynklntmnsznhonibnbcnqpn
vqnydnpengrnjsnofndgnwtnyvofiosjonwomxovkoglodyo
azolmounotaoipojcocdorqowrozeoqfohsoktopgoehoxuo
zwpgjptkpoxpnypwlphmpezpbapmnpvopubpjqpkdpdepsrp
xspafprgpitplupqhpfipyvpaxqhkqulqpyqozqxmqinqfaq
cbqnoqwpqvcqkrqleqefqtsqytqbgqshqjuqmvqriqgjqzwq
byrilrvmrqzrparynrjorgbrdcroprxqrwdrlsrmfrfgrutr
zurchrtirkvrnwrsjrhkraxrczsjmswnsrasqbszoskpshcs
edspqsyrsxesmtsngsghsvusavsdisujslwsoxstksilsbys
datkntxotsbtrctaptlqtidtfetqrtzstyftnutohthitwvt
bwtejtvktmxtpytultjmtcztebulouyputcusdubqumrujeu
gfursuatuzguovupiuijuxwucxufkuwlunyuqzuvmuknudau
fcvmpvzqvudvtevcrvnsvkfvhgvstvbuvahvpwvqjvjkvyxv
dyvglvxmvozvravwnvlovebvgdwnqwarwvewufwdswotwlgw
ihwtuwcvwbiwqxwrkwklwzywezwhmwynwpawsbwxowmpwfcw
hexorxbsxwfxvgxetxpuxmhxjixuvxdwxcjxryxslxlmxazx
faxinxzoxqbxtcxypxnqxgdxifypsyctyxgywhyfuyqvyniy
kjyvwyexydkyszytmymnybaygbyjoyapyrcyudyzqyoryhey
jgzqtzduzyhzxizgvzrwzojzlkzwxzfyzelztazunznozcbz
hczkpzbqzsdzvezarzpszifzkharuaevaziayjahwasxapka
mlaxyagzafmaubavoaopadcaidalqacrateawfabsaqtajga

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: kharua
Cipher: xunehn

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: kharua
Cipher: 523211245411

Extended Methods:
Method #1

Plaintext: kharua
method variations:
pnfwzfuslbelzxqgkqecvmpv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
k h a r u a 
5 3 1 2 5 1 
2 2 1 4 4 1 
They are then read out in rows:
531251221441
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: kharua
Cipher: pfegqd

Read more ...
Method #3

Plaintext: kharua
method variations:
mbfydv bfydvm fydvmb
ydvmbf dvmbfy vmbfyd

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: kharua

all 720 cipher variations:
kharua kharau khaura khauar khaaur khaaru khraua khraau khruaa khruaa khraua
khraau khuraa khuraa khuara khuaar khuaar khuara kharua kharau khaura khauar
khaaur khaaru kahrua kahrau kahura kahuar kahaur kaharu karhua karhau karuha
karuah karauh karahu kaurha kaurah kauhra kauhar kauahr kauarh kaaruh kaarhu
kaaurh kaauhr kaahur kaahru krahua krahau krauha krauah kraauh kraahu krhaua
krhaau krhuaa krhuaa krhaua krhaau kruhaa kruhaa kruaha kruaah kruaah kruaha
krahua krahau krauha krauah kraauh kraahu kuarha kuarah kuahra kuahar kuaahr
kuaarh kuraha kuraah kurhaa kurhaa kuraha kuraah kuhraa kuhraa kuhara kuhaar
kuhaar kuhara kuarha kuarah kuahra kuahar kuaahr kuaarh kaaruh kaarhu kaaurh
kaauhr kaahur kaahru karauh karahu karuah karuha karhua karhau kaurah kaurha
kauarh kauahr kauhar kauhra kahrua kahrau kahura kahuar kahaur kaharu hkarua
hkarau hkaura hkauar hkaaur hkaaru hkraua hkraau hkruaa hkruaa hkraua hkraau
hkuraa hkuraa hkuara hkuaar hkuaar hkuara hkarua hkarau hkaura hkauar hkaaur
hkaaru hakrua hakrau hakura hakuar hakaur hakaru harkua harkau haruka haruak
harauk haraku haurka haurak haukra haukar hauakr hauark haaruk haarku haaurk
haaukr haakur haakru hrakua hrakau hrauka hrauak hraauk hraaku hrkaua hrkaau
hrkuaa hrkuaa hrkaua hrkaau hrukaa hrukaa hruaka hruaak hruaak hruaka hrakua
hrakau hrauka hrauak hraauk hraaku huarka huarak huakra huakar huaakr huaark
huraka huraak hurkaa hurkaa huraka huraak hukraa hukraa hukara hukaar hukaar
hukara huarka huarak huakra huakar huaakr huaark haaruk haarku haaurk haaukr
haakur haakru harauk haraku haruak haruka harkua harkau haurak haurka hauark
hauakr haukar haukra hakrua hakrau hakura hakuar hakaur hakaru ahkrua ahkrau
ahkura ahkuar ahkaur ahkaru ahrkua ahrkau ahruka ahruak ahrauk ahraku ahurka
ahurak ahukra ahukar ahuakr ahuark aharuk aharku ahaurk ahaukr ahakur ahakru
akhrua akhrau akhura akhuar akhaur akharu akrhua akrhau akruha akruah akrauh
akrahu akurha akurah akuhra akuhar akuahr akuarh akaruh akarhu akaurh akauhr
akahur akahru arkhua arkhau arkuha arkuah arkauh arkahu arhkua arhkau arhuka
arhuak arhauk arhaku aruhka aruhak arukha arukah aruakh aruahk arahuk arahku
arauhk araukh arakuh arakhu aukrha aukrah aukhra aukhar aukahr aukarh aurkha
aurkah aurhka aurhak aurahk aurakh auhrka auhrak auhkra auhkar auhakr auhark
auarhk auarkh auahrk auahkr auakhr auakrh aakruh aakrhu aakurh aakuhr aakhur
aakhru aarkuh aarkhu aarukh aaruhk aarhuk aarhku aaurkh aaurhk aaukrh aaukhr
aauhkr aauhrk aahruk aahrku aahurk aahukr aahkur aahkru rhakua rhakau rhauka
rhauak rhaauk rhaaku rhkaua rhkaau rhkuaa rhkuaa rhkaua rhkaau rhukaa rhukaa
rhuaka rhuaak rhuaak rhuaka rhakua rhakau rhauka rhauak rhaauk rhaaku rahkua
rahkau rahuka rahuak rahauk rahaku rakhua rakhau rakuha rakuah rakauh rakahu
raukha raukah rauhka rauhak rauahk rauakh raakuh raakhu raaukh raauhk raahuk
raahku rkahua rkahau rkauha rkauah rkaauh rkaahu rkhaua rkhaau rkhuaa rkhuaa
rkhaua rkhaau rkuhaa rkuhaa rkuaha rkuaah rkuaah rkuaha rkahua rkahau rkauha
rkauah rkaauh rkaahu ruakha ruakah ruahka ruahak ruaahk ruaakh rukaha rukaah
rukhaa rukhaa rukaha rukaah ruhkaa ruhkaa ruhaka ruhaak ruhaak ruhaka ruakha
ruakah ruahka ruahak ruaahk ruaakh raakuh raakhu raaukh raauhk raahuk raahku
rakauh rakahu rakuah rakuha rakhua rakhau raukah raukha rauakh rauahk rauhak
rauhka rahkua rahkau rahuka rahuak rahauk rahaku uharka uharak uhakra uhakar
uhaakr uhaark uhraka uhraak uhrkaa uhrkaa uhraka uhraak uhkraa uhkraa uhkara
uhkaar uhkaar uhkara uharka uharak uhakra uhakar uhaakr uhaark uahrka uahrak
uahkra uahkar uahakr uahark uarhka uarhak uarkha uarkah uarakh uarahk uakrha
uakrah uakhra uakhar uakahr uakarh uaarkh uaarhk uaakrh uaakhr uaahkr uaahrk
urahka urahak urakha urakah uraakh uraahk urhaka urhaak urhkaa urhkaa urhaka
urhaak urkhaa urkhaa urkaha urkaah urkaah urkaha urahka urahak urakha urakah
uraakh uraahk ukarha ukarah ukahra ukahar ukaahr ukaarh ukraha ukraah ukrhaa
ukrhaa ukraha ukraah ukhraa ukhraa ukhara ukhaar ukhaar ukhara ukarha ukarah
ukahra ukahar ukaahr ukaarh uaarkh uaarhk uaakrh uaakhr uaahkr uaahrk uarakh
uarahk uarkah uarkha uarhka uarhak uakrah uakrha uakarh uakahr uakhar uakhra
uahrka uahrak uahkra uahkar uahakr uahark aharuk aharku ahaurk ahaukr ahakur
ahakru ahrauk ahraku ahruak ahruka ahrkua ahrkau ahurak ahurka ahuark ahuakr
ahukar ahukra ahkrua ahkrau ahkura ahkuar ahkaur ahkaru aahruk aahrku aahurk
aahukr aahkur aahkru aarhuk aarhku aaruhk aarukh aarkuh aarkhu aaurhk aaurkh
aauhrk aauhkr aaukhr aaukrh aakruh aakrhu aakurh aakuhr aakhur aakhru arahuk
arahku arauhk araukh arakuh arakhu arhauk arhaku arhuak arhuka arhkua arhkau
aruhak aruhka aruahk aruakh arukah arukha arkhua arkhau arkuha arkuah arkauh
arkahu auarhk auarkh auahrk auahkr auakhr auakrh aurahk aurakh aurhak aurhka
aurkha aurkah auhrak auhrka auhark auhakr auhkar auhkra aukrha aukrah aukhra
aukhar aukahr aukarh akaruh akarhu akaurh akauhr akahur akahru akrauh akrahu
akruah akruha akrhua akrhau akurah akurha akuarh akuahr akuhar akuhra akhrua
akhrau akhura akhuar akhaur akharu

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