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worthingtonsprings


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: shipes
cipher variations:
tijqft ujkrgu vklshv wlmtiw xmnujx
ynovky zopwlz apqxma bqrynb crszoc
dstapd etubqe fuvcrf gvwdsg hwxeth
ixyfui jyzgvj kzahwk labixl mbcjym
ncdkzn odelao pefmbp qfgncq rghodr

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: shipes
Cipher: hsrkvh

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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: shipes
Cipher: BAAAB AABBB ABAAA ABBBA AABAA BAAAB

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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: shipes
cipher variations:
tijqftdwzundnkpyvnxyfcdxhmvglhralktrlcrsjlvqhwrv
fexazfpsnehpzgdipzjutmxjujkrguexavoeolqzwoyzgdey
inwhmisbmlusmdstkmwrixswgfybagqtofiqahejqakvunyk
vklshvfybwpfpmraxpzahefzjoxinjtcnmvtnetulnxsjytx
hgzcbhrupgjrbifkrblwvozlwlmtiwgzcxqgqnsbyqabifga
kpyjokudonwuofuvmoytkzuyihadcisvqhkscjglscmxwpam
xmnujxhadyrhrotczrbcjghblqzkplvepoxvpgvwnpzulavz
jibedjtwriltdkhmtdnyxqbnynovkyibezsispudascdkhic
mralqmwfqpywqhwxoqavmbwakjcfekuxsjmuelinueozyrco
zopwlzjcfatjtqvebtdelijdnsbmrnxgrqzxrixyprbwncxb
lkdgflvytknvfmjovfpazsdpapqxmakdgbukurwfcuefmjke
otcnsoyhsraysjyzqscxodycmlehgmwzulowgnkpwgqbateq
bqrynblehcvlvsxgdvfgnklfpudotpzitsbztkzartdypezd
nmfihnxavmpxholqxhrcbufrcrszocmfidwmwtyhewgholmg
qvepuqajutcaulabsuezqfaeongjioybwnqyipmryisdcvgs
dstapdngjexnxuzifxhipmnhrwfqvrbkvudbvmbctvfargbf
pohkjpzcxorzjqnszjtedwhtetubqeohkfyoyvajgyijqnoi
sxgrwsclwvecwncduwgbshcgqpilkqadypsakrotakufexiu
fuvcrfpilgzpzwbkhzjkropjtyhsxtdmxwfdxodevxhctidh
rqjmlrbezqtblspublvgfyjvgvwdsgqjmhaqaxcliaklspqk
uzityuenyxgeypefwyidujeisrknmscfarucmtqvcmwhgzkw
hwxethrknibrbydmjblmtqrlvajuzvfozyhfzqfgxzjevkfj
tslontdgbsvdnurwdnxihalxixyfuislojcsczenkcmnursm
wbkvawgpazigarghyakfwlgkutmpouehctweovsxeoyjibmy
jyzgvjtmpkdtdafoldnovstnxclwbxhqbajhbshizblgxmhl
vunqpvfiduxfpwtyfpzkjcnzkzahwkunqleuebgpmeopwtuo
ydmxcyircbkictijacmhynimwvorqwgjevygqxuzgqalkdoa
labixlvormfvfchqnfpqxuvpzenydzjsdcljdujkbdnizojn
xwpsrxhkfwzhryvahrbmlepbmbcjymwpsngwgdirogqryvwq
afozeaktedmkevklceojapkoyxqtsyilgxaiszwbiscnmfqc
ncdkznxqtohxhejsphrszwxrbgpafblufenlfwlmdfpkbqlp
zyrutzjmhybjtaxcjtdongrdodelaoyrupiyifktqistaxys
chqbgcmvgfomgxmnegqlcrmqazsvuaknizckubydkuepohse
pefmbpzsvqjzjglurjtubyztdirchdnwhgpnhynofhrmdsnr
batwvblojadlvczelvfqpitfqfgncqatwrkakhmvskuvczau
ejsdieoxihqoizopgisnetoscbuxwcmpkbemwdafmwgrqjug
rghodrbuxslblinwtlvwdabvfktejfpyjirpjapqhjtofupt
dcvyxdnqlcfnxebgnxhsrkvhshipescvytmcmjoxumwxebcw
glufkgqzkjsqkbqrikupgvquedwzyeormdgoyfchoyitslwi

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: shipes
Cipher: fuvcrf

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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: shipes
Cipher: 343242535134

Extended Methods:
Method #1

Plaintext: shipes
method variations:
xnoukxcstzpchxyeuhncdkzn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s h i p e s 
3 3 4 5 5 3 
4 2 2 3 1 4 
They are then read out in rows:
334553422314
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: shipes
Cipher: nypimq

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Method #3

Plaintext: shipes
method variations:
orwxlo rwxloo wxloor
xloorw loorwx oorwxl

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: shipes

all 720 cipher variations:
shipes shipse shieps shiesp shisep shispe shpies shpise shpeis shpesi shpsei
shpsie shepis shepsi sheips sheisp shesip shespi shspei shspie shsepi shseip
shsiep shsipe sihpes sihpse siheps sihesp sihsep sihspe siphes siphse sipehs
sipesh sipseh sipshe siephs siepsh siehps siehsp sieshp siesph sispeh sisphe
siseph sisehp sishep sishpe spihes spihse spiehs spiesh spiseh spishe sphies
sphise spheis sphesi sphsei sphsie spehis spehsi speihs speish spesih speshi
spshei spshie spsehi spseih spsieh spsihe seiphs seipsh seihps seihsp seishp
seisph sepihs sepish sephis sephsi sepshi sepsih sehpis sehpsi sehips sehisp
sehsip sehspi sesphi sespih seshpi seship sesihp sesiph ssipeh ssiphe ssieph
ssiehp ssihep ssihpe sspieh sspihe sspeih sspehi ssphei ssphie ssepih ssephi
sseiph sseihp ssehip ssehpi sshpei sshpie sshepi ssheip sshiep sshipe hsipes
hsipse hsieps hsiesp hsisep hsispe hspies hspise hspeis hspesi hspsei hspsie
hsepis hsepsi hseips hseisp hsesip hsespi hsspei hsspie hssepi hsseip hssiep
hssipe hispes hispse hiseps hisesp hissep hisspe hipses hipsse hipess hipess
hipses hipsse hiepss hiepss hiesps hiessp hiessp hiesps hispes hispse hiseps
hisesp hissep hisspe hpises hpisse hpiess hpiess hpises hpisse hpsies hpsise
hpseis hpsesi hpssei hpssie hpesis hpessi hpeiss hpeiss hpesis hpessi hpssei
hpssie hpsesi hpseis hpsies hpsise heipss heipss heisps heissp heissp heisps
hepiss hepiss hepsis hepssi hepssi hepsis hespis hespsi hesips hesisp hessip
hesspi hespsi hespis hesspi hessip hesisp hesips hsipes hsipse hsieps hsiesp
hsisep hsispe hspies hspise hspeis hspesi hspsei hspsie hsepis hsepsi hseips
hseisp hsesip hsespi hsspei hsspie hssepi hsseip hssiep hssipe ihspes ihspse
ihseps ihsesp ihssep ihsspe ihpses ihpsse ihpess ihpess ihpses ihpsse ihepss
ihepss ihesps ihessp ihessp ihesps ihspes ihspse ihseps ihsesp ihssep ihsspe
ishpes ishpse isheps ishesp ishsep ishspe isphes isphse ispehs ispesh ispseh
ispshe isephs isepsh isehps isehsp iseshp isesph isspeh issphe isseph issehp
isshep isshpe ipshes ipshse ipsehs ipsesh ipsseh ipsshe iphses iphsse iphess
iphess iphses iphsse ipehss ipehss ipeshs ipessh ipessh ipeshs ipshes ipshse
ipsehs ipsesh ipsseh ipsshe iesphs iespsh ieshps ieshsp iesshp iessph iepshs
iepssh iephss iephss iepshs iepssh iehpss iehpss iehsps iehssp iehssp iehsps
iesphs iespsh ieshps ieshsp iesshp iessph isspeh issphe isseph issehp isshep
isshpe ispseh ispshe ispesh ispehs isphes isphse isepsh isephs isesph iseshp
isehsp isehps ishpes ishpse isheps ishesp ishsep ishspe phises phisse phiess
phiess phises phisse phsies phsise phseis phsesi phssei phssie phesis phessi
pheiss pheiss phesis phessi phssei phssie phsesi phseis phsies phsise pihses
pihsse pihess pihess pihses pihsse pishes pishse pisehs pisesh pisseh pisshe
pieshs piessh piehss piehss pieshs piessh pisseh pisshe pisesh pisehs pishes
pishse psihes psihse psiehs psiesh psiseh psishe pshies pshise psheis pshesi
pshsei pshsie psehis psehsi pseihs pseish psesih pseshi psshei psshie pssehi
psseih pssieh pssihe peishs peissh peihss peihss peishs peissh pesihs pesish
peshis peshsi pesshi pessih pehsis pehssi pehiss pehiss pehsis pehssi pesshi
pessih peshsi peshis pesihs pesish psiseh psishe psiesh psiehs psihes psihse
pssieh pssihe psseih pssehi psshei psshie psesih pseshi pseish pseihs psehis
psehsi pshsei pshsie pshesi psheis pshies pshise ehipss ehipss ehisps ehissp
ehissp ehisps ehpiss ehpiss ehpsis ehpssi ehpssi ehpsis ehspis ehspsi ehsips
ehsisp ehssip ehsspi ehspsi ehspis ehsspi ehssip ehsisp ehsips eihpss eihpss
eihsps eihssp eihssp eihsps eiphss eiphss eipshs eipssh eipssh eipshs eisphs
eispsh eishps eishsp eisshp eissph eispsh eisphs eissph eisshp eishsp eishps
epihss epihss epishs epissh epissh epishs ephiss ephiss ephsis ephssi ephssi
ephsis epshis epshsi epsihs epsish epssih epsshi epshsi epshis epsshi epssih
epsish epsihs esiphs esipsh esihps esihsp esishp esisph espihs espish esphis
esphsi espshi espsih eshpis eshpsi eships eshisp eshsip eshspi essphi esspih
esshpi esship essihp essiph esipsh esiphs esisph esishp esihsp esihps espish
espihs espsih espshi esphsi esphis esspih essphi essiph essihp esship esshpi
eshpsi eshpis eshspi eshsip eshisp eships shipes shipse shieps shiesp shisep
shispe shpies shpise shpeis shpesi shpsei shpsie shepis shepsi sheips sheisp
shesip shespi shspei shspie shsepi shseip shsiep shsipe sihpes sihpse siheps
sihesp sihsep sihspe siphes siphse sipehs sipesh sipseh sipshe siephs siepsh
siehps siehsp sieshp siesph sispeh sisphe siseph sisehp sishep sishpe spihes
spihse spiehs spiesh spiseh spishe sphies sphise spheis sphesi sphsei sphsie
spehis spehsi speihs speish spesih speshi spshei spshie spsehi spseih spsieh
spsihe seiphs seipsh seihps seihsp seishp seisph sepihs sepish sephis sephsi
sepshi sepsih sehpis sehpsi sehips sehisp sehsip sehspi sesphi sespih seshpi
seship sesihp sesiph ssipeh ssiphe ssieph ssiehp ssihep ssihpe sspieh sspihe
sspeih sspehi ssphei ssphie ssepih ssephi sseiph sseihp ssehip ssehpi sshpei
sshpie sshepi ssheip sshiep sshipe

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