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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: kagura
cipher variations:
lbhvsb mciwtc ndjxud oekyve pflzwf
qgmaxg rhnbyh sioczi tjpdaj ukqebk
vlrfcl wmsgdm xnthen youifo zpvjgp
aqwkhq brxlir csymjs dtznkt euaolu
fvbpmv gwcqnw hxdrox iyespy jzftqz

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: kagura
Cipher: pztfiz

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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: kagura
Cipher: ABAAB AAAAA AABBA BAABB BAAAA 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: kagura
cipher variations:
lbhvsbfbtjabzbfxibtbrlqbnbdzybhbpngbvbnpwbpbzdeb
jblrmbdbxfubxbjtcbrbvhkbmciwtcgcukbcacgyjcucsmrc
oceazcicqohcwcoqxcqcaefckcmsncecygvcyckudcscwilc
ndjxudhdvlcdbdhzkdvdtnsdpdfbadjdrpidxdprydrdbfgd
ldntodfdzhwdzdlvedtdxjmdoekyveiewmdeceialeweuote
qegcbekesqjeyeqszesecghemeoupegeaixeaemwfeueykne
pflzwfjfxnefdfjbmfxfvpufrfhdcflftrkfzfrtaftfdhif
nfpvqfhfbjyfbfnxgfvfzlofqgmaxgkgyofgegkcngygwqvg
sgiedgmguslgagsubgugeijgogqwrgigckzgcgoyhgwgampg
rhnbyhlhzpghfhldohzhxrwhthjfehnhvtmhbhtvchvhfjkh
phrxshjhdlahdhpzihxhbnqhsioczimiaqhigimepiaiysxi
uikgfioiwuniciuwdiwigkliqisytikiembieiqajiyicori
tjpdajnjbrijhjnfqjbjztyjvjlhgjpjxvojdjvxejxjhlmj
rjtzujljfncjfjrbkjzjdpsjukqebkokcsjkikogrkckauzk
wkmihkqkywpkekwyfkykimnkskuavkmkgodkgksclkakeqtk
vlrfclpldtkljlphsldlbvalxlnjilrlzxqlflxzglzljnol
tlvbwlnlhpelhltdmlblfrulwmsgdmqmeulmkmqitmemcwbm
ymokjmsmayrmgmyahmamkopmumwcxmomiqfmimuenmcmgsvm
xnthenrnfvmnlnrjunfndxcnznplkntnbzsnhnzbinbnlpqn
vnxdynpnjrgnjnvfondnhtwnyouifosogwnomoskvogoeydo
aoqmlouocatoioacjocomqrowoyezoqokshokowgpoeoiuxo
zpvjgptphxopnptlwphpfzepbprnmpvpdbupjpbdkpdpnrsp
xpzfaprpltiplpxhqpfpjvypaqwkhquqiypqoqumxqiqgafq
cqsonqwqecvqkqcelqeqostqyqagbqsqmujqmqyirqgqkwzq
brxlirvrjzqrprvnyrjrhbgrdrtporxrfdwrlrdfmrfrptur
zrbhcrtrnvkrnrzjsrhrlxarcsymjswskarsqswozsksichs
esuqpsysgexsmsegnsgsquvsascidsusowlsosaktsismybs
dtznktxtlbstrtxpatltjditftvrqtzthfytntfhothtrvwt
btdjetvtpxmtptblutjtnzcteuaoluyumctusuyqbumukeju
guwsruauigzuougipuiuswxucuekfuwuqynuqucmvukuoadu
fvbpmvzvnduvtvzrcvnvlfkvhvxtsvbvjhavpvhjqvjvtxyv
dvflgvxvrzovrvdnwvlvpbevgwcqnwawoevwuwasdwowmglw
iwyutwcwkibwqwikrwkwuyzwewgmhwywsapwsweoxwmwqcfw
hxdroxbxpfwxvxbtexpxnhmxjxzvuxdxljcxrxjlsxlxvzax
fxhnixzxtbqxtxfpyxnxrdgxiyespycyqgxywycufyqyoiny
kyawvyeymkdysykmtymywabygyiojyayucryuygqzyoysehy
jzftqzdzrhyzxzdvgzrzpjozlzbxwzfznleztzlnuznzxbcz
hzjpkzbzvdszvzhrazpztfizkaguraeasizayaewhasaqkpa
macyxagaomfauamovaoaycdaiakqlacawetawaisbaqaugja

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: kagura
Cipher: xnthen

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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: kagura
Cipher: 521122542411

Extended Methods:
Method #1

Plaintext: kagura
method variations:
pfmzwfulreblzqwkgqevbpmv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
k a g u r a 
5 1 2 5 2 1 
2 1 2 4 4 1 
They are then read out in rows:
512521212441
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: kagura
Cipher: ewbbrd

Read more ...
Method #3

Plaintext: kagura
method variations:
bfwidv fwidvb widvbf
idvbfw dvbfwi vbfwid

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: kagura

all 720 cipher variations:
kagura kaguar kagrua kagrau kagaru kagaur kaugra kaugar kaurga kaurag kauarg
kauagr karuga karuag kargua kargau karagu karaug kaaurg kaaugr kaarug kaargu
kaagru kaagur kgaura kgauar kgarua kgarau kgaaru kgaaur kguara kguaar kguraa
kguraa kguara kguaar kgruaa kgruaa kgraua kgraau kgraau kgraua kgaura kgauar
kgarua kgarau kgaaru kgaaur kugara kugaar kugraa kugraa kugara kugaar kuagra
kuagar kuarga kuarag kuaarg kuaagr kuraga kuraag kurgaa kurgaa kuraga kuraag
kuaarg kuaagr kuarag kuarga kuagra kuagar krguaa krguaa krgaua krgaau krgaau
krgaua krugaa krugaa kruaga kruaag kruaag kruaga krauga krauag kragua kragau
kraagu kraaug krauag krauga kraaug kraagu kragau kragua kagura kaguar kagrua
kagrau kagaru kagaur kaugra kaugar kaurga kaurag kauarg kauagr karuga karuag
kargua kargau karagu karaug kaaurg kaaugr kaarug kaargu kaagru kaagur akgura
akguar akgrua akgrau akgaru akgaur akugra akugar akurga akurag akuarg akuagr
akruga akruag akrgua akrgau akragu akraug akaurg akaugr akarug akargu akagru
akagur agkura agkuar agkrua agkrau agkaru agkaur agukra agukar agurka agurak
aguark aguakr agruka agruak agrkua agrkau agraku agrauk agaurk agaukr agaruk
agarku agakru agakur augkra augkar augrka augrak augark augakr aukgra aukgar
aukrga aukrag aukarg aukagr aurkga aurkag aurgka aurgak auragk aurakg auakrg
auakgr auarkg auargk auagrk auagkr arguka arguak argkua argkau argaku argauk
arugka arugak arukga arukag aruakg aruagk arkuga arkuag arkgua arkgau arkagu
arkaug araukg araugk arakug arakgu aragku araguk aagurk aagukr aagruk aagrku
aagkru aagkur aaugrk aaugkr aaurgk aaurkg aaukrg aaukgr aarugk aarukg aarguk
aargku aarkgu aarkug aakurg aakugr aakrug aakrgu aakgru aakgur gakura gakuar
gakrua gakrau gakaru gakaur gaukra gaukar gaurka gaurak gauark gauakr garuka
garuak garkua garkau garaku garauk gaaurk gaaukr gaaruk gaarku gaakru gaakur
gkaura gkauar gkarua gkarau gkaaru gkaaur gkuara gkuaar gkuraa gkuraa gkuara
gkuaar gkruaa gkruaa gkraua gkraau gkraau gkraua gkaura gkauar gkarua gkarau
gkaaru gkaaur gukara gukaar gukraa gukraa gukara gukaar guakra guakar guarka
guarak guaark guaakr guraka guraak gurkaa gurkaa guraka guraak guaark guaakr
guarak guarka guakra guakar grkuaa grkuaa grkaua grkaau grkaau grkaua grukaa
grukaa gruaka gruaak gruaak gruaka grauka grauak grakua grakau graaku graauk
grauak grauka graauk graaku grakau grakua gakura gakuar gakrua gakrau gakaru
gakaur gaukra gaukar gaurka gaurak gauark gauakr garuka garuak garkua garkau
garaku garauk gaaurk gaaukr gaaruk gaarku gaakru gaakur uagkra uagkar uagrka
uagrak uagark uagakr uakgra uakgar uakrga uakrag uakarg uakagr uarkga uarkag
uargka uargak uaragk uarakg uaakrg uaakgr uaarkg uaargk uaagrk uaagkr ugakra
ugakar ugarka ugarak ugaark ugaakr ugkara ugkaar ugkraa ugkraa ugkara ugkaar
ugrkaa ugrkaa ugraka ugraak ugraak ugraka ugakra ugakar ugarka ugarak ugaark
ugaakr ukgara ukgaar ukgraa ukgraa ukgara ukgaar ukagra ukagar ukarga ukarag
ukaarg ukaagr ukraga ukraag ukrgaa ukrgaa ukraga ukraag ukaarg ukaagr ukarag
ukarga ukagra ukagar urgkaa urgkaa urgaka urgaak urgaak urgaka urkgaa urkgaa
urkaga urkaag urkaag urkaga urakga urakag uragka uragak uraagk uraakg urakag
urakga uraakg uraagk uragak uragka uagkra uagkar uagrka uagrak uagark uagakr
uakgra uakgar uakrga uakrag uakarg uakagr uarkga uarkag uargka uargak uaragk
uarakg uaakrg uaakgr uaarkg uaargk uaagrk uaagkr raguka raguak ragkua ragkau
ragaku ragauk raugka raugak raukga raukag rauakg rauagk rakuga rakuag rakgua
rakgau rakagu rakaug raaukg raaugk raakug raakgu raagku raaguk rgauka rgauak
rgakua rgakau rgaaku rgaauk rguaka rguaak rgukaa rgukaa rguaka rguaak rgkuaa
rgkuaa rgkaua rgkaau rgkaau rgkaua rgauka rgauak rgakua rgakau rgaaku rgaauk
rugaka rugaak rugkaa rugkaa rugaka rugaak ruagka ruagak ruakga ruakag ruaakg
ruaagk rukaga rukaag rukgaa rukgaa rukaga rukaag ruaakg ruaagk ruakag ruakga
ruagka ruagak rkguaa rkguaa rkgaua rkgaau rkgaau rkgaua rkugaa rkugaa rkuaga
rkuaag rkuaag rkuaga rkauga rkauag rkagua rkagau rkaagu rkaaug rkauag rkauga
rkaaug rkaagu rkagau rkagua raguka raguak ragkua ragkau ragaku ragauk raugka
raugak raukga raukag rauakg rauagk rakuga rakuag rakgua rakgau rakagu rakaug
raaukg raaugk raakug raakgu raagku raaguk aagurk aagukr aagruk aagrku aagkru
aagkur aaugrk aaugkr aaurgk aaurkg aaukrg aaukgr aarugk aarukg aarguk aargku
aarkgu aarkug aakurg aakugr aakrug aakrgu aakgru aakgur agaurk agaukr agaruk
agarku agakru agakur aguark aguakr agurak agurka agukra agukar agruak agruka
agrauk agraku agrkau agrkua agkura agkuar agkrua agkrau agkaru agkaur augark
augakr augrak augrka augkra augkar auagrk auagkr auargk auarkg auakrg auakgr
auragk aurakg aurgak aurgka aurkga aurkag aukarg aukagr aukrag aukrga aukgra
aukgar arguak arguka argauk argaku argkau argkua arugak arugka aruagk aruakg
arukag arukga araugk araukg araguk aragku arakgu arakug arkuag arkuga arkaug
arkagu arkgau arkgua akgura akguar akgrua akgrau akgaru akgaur akugra akugar
akurga akurag akuarg akuagr akruga akruag akrgua akrgau akragu akraug akaurg
akaugr akarug akargu akagru akagur

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