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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: rochpo
cipher variations:
spdiqp tqejrq urfksr vsglts wthmut
xuinvu yvjowv zwkpxw axlqyx bymrzy
cznsaz daotba ebpucb fcqvdc gdrwed
hesxfe iftygf jguzhg khvaih liwbji
mjxckj nkydlk olzeml pmafnm qnbgon

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: rochpo
Cipher: ilxskl

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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: rochpo
Cipher: BAAAA ABBAB AAABA AABBB ABBBA ABBAB

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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: rochpo
cipher variations:
spdiqparhwuritlkytqvpycvyxtmgxgzxakzwdfcsdefjqwf
mhneahujrsejclvgilknzumntqejrqbsixvsjumlzurwqzdw
zyunhyhayblaxegdtefgkrxgniofbivkstfkdmwhjmloavno
urfksrctjywtkvnmavsxraexazvoizibzcmbyfheufghlsyh
ojpgcjwltuglenxiknmpbwopvsgltsdukzxulwonbwtysbfy
bawpjajcadnczgifvghimtzipkqhdkxmuvhmfoyjlonqcxpq
wthmutevlayvmxpocxuztcgzcbxqkbkdbeodahjgwhijnuaj
qlrielynvwingpzkmpordyqrxuinvufwmbzwnyqpdyvaudha
dcyrlclecfpebikhxijkovbkrmsjfmzowxjohqalnqpsezrs
yvjowvgxncaxozrqezwbveibedzsmdmfdgqfcjliyjklpwcl
sntkgnapxykpirbmorqtfastzwkpxwhyodbypasrfaxcwfjc
featnengehrgdkmjzklmqxdmtoulhobqyzlqjscnpsrugbtu
axlqyxizpeczqbtsgbydxgkdgfbuofohfishelnkalmnryen
upvmipcrzamrktdoqtsvhcuvbymrzyjaqfdarcuthczeyhle
hgcvpgpigjtifmolbmnoszfovqwnjqdsabnslueprutwidvw
cznsazkbrgebsdvuidafzimfihdwqhqjhkujgnpmcnoptagp
wrxokretbcotmvfqsvuxjewxdaotbalcshfctewvjebgajng
jiexrirkilvkhoqndopqubhqxsyplsfucdpunwgrtwvykfxy
ebpucbmdtigdufxwkfchbkohkjfysjsljmwliproepqrvcir
ytzqmtgvdeqvoxhsuxwzlgyzfcqvdcneujhevgyxlgdiclpi
lkgztktmknxmjqspfqrswdjszuarnuhwefrwpyitvyxamhza
gdrwedofvkifwhzymhejdmqjmlhaulunloynkrtqgrstxekt
avbsovixfgsxqzjuwzybniabhesxfepgwljgxiaznifkenrk
nmibvmvompzolsurhstuyflubwctpwjyghtyrakvxazcojbc
iftygfqhxmkhyjbaojglfoslonjcwnwpnqapmtvsituvzgmv
cxduqxkzhiuzsblwybadpkcdjguzhgriynlizkcbpkhmgptm
pokdxoxqorbqnuwtjuvwahnwdyevrylaijvatcmxzcbeqlde
khvaihsjzomjaldcqlinhqunqpleypyrpscrovxukvwxbiox
ezfwszmbjkwbudnyadcfrmefliwbjitkapnkbmedrmjoirvo
rqmfzqzsqtdspwyvlwxycjpyfagxtancklxcveozbedgsnfg
mjxckjulbqolcnfesnkpjswpsrngaratruetqxzwmxyzdkqz
gbhyubodlmydwfpacfehtoghnkydlkvmcrpmdogftolqktxq
tsohbsbusvfuryaxnyzaelrahcizvcpemnzexgqbdgfiuphi
olzemlwndsqnephgupmrluyrutpictcvtwgvszbyozabfmsb
idjawdqfnoafyhrcehgjvqijpmafnmxoetrofqihvqnsmvzs
vuqjdudwuxhwtaczpabcgntcjekbxergopbgzisdfihkwrjk
qnbgonypfuspgrjiwrotnwatwvrkevexvyixubdaqbcdhoud
kflcyfshpqchajtegjilxsklrochpozqgvtqhskjxspuoxbu
xwslfwfywzjyvcebrcdeipvelgmdzgtiqrdibkufhkjmytlm

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: rochpo
Cipher: ebpucb

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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: rochpo
Cipher: 244331325343

Extended Methods:
Method #1

Plaintext: rochpo
method variations:
wthnutbynszygdsxedmixcki

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
r o c h p o 
2 4 3 3 5 4 
4 3 1 2 3 3 
They are then read out in rows:
243354431233
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: rochpo
Cipher: rnuofn

Read more ...
Method #3

Plaintext: rochpo
method variations:
tnlwsh nlwsht lwshtn
wshtnl shtnlw htnlws

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: rochpo

all 720 cipher variations:
rochpo rochop rocpho rocpoh rocoph rocohp rohcpo rohcop rohpco rohpoc rohopc
rohocp rophco rophoc ropcho ropcoh ropoch ropohc roohpc roohcp roophc roopch
roocph roochp rcohpo rcohop rcopho rcopoh rcooph rcoohp rchopo rchoop rchpoo
rchpoo rchopo rchoop rcphoo rcphoo rcpoho rcpooh rcpooh rcpoho rcohpo rcohop
rcopho rcopoh rcooph rcoohp rhcopo rhcoop rhcpoo rhcpoo rhcopo rhcoop rhocpo
rhocop rhopco rhopoc rhoopc rhoocp rhpoco rhpooc rhpcoo rhpcoo rhpoco rhpooc
rhoopc rhoocp rhopoc rhopco rhocpo rhocop rpchoo rpchoo rpcoho rpcooh rpcooh
rpcoho rphcoo rphcoo rphoco rphooc rphooc rphoco rpohco rpohoc rpocho rpocoh
rpooch rpoohc rpohoc rpohco rpoohc rpooch rpocoh rpocho rochpo rochop rocpho
rocpoh rocoph rocohp rohcpo rohcop rohpco rohpoc rohopc rohocp rophco rophoc
ropcho ropcoh ropoch ropohc roohpc roohcp roophc roopch roocph roochp orchpo
orchop orcpho orcpoh orcoph orcohp orhcpo orhcop orhpco orhpoc orhopc orhocp
orphco orphoc orpcho orpcoh orpoch orpohc orohpc orohcp orophc oropch orocph
orochp ocrhpo ocrhop ocrpho ocrpoh ocroph ocrohp ochrpo ochrop ochpro ochpor
ochopr ochorp ocphro ocphor ocprho ocproh ocporh ocpohr ocohpr ocohrp ocophr
ocoprh ocorph ocorhp ohcrpo ohcrop ohcpro ohcpor ohcopr ohcorp ohrcpo ohrcop
ohrpco ohrpoc ohropc ohrocp ohprco ohproc ohpcro ohpcor ohpocr ohporc ohorpc
ohorcp ohoprc ohopcr ohocpr ohocrp opchro opchor opcrho opcroh opcorh opcohr
ophcro ophcor ophrco ophroc ophorc ophocr oprhco oprhoc oprcho oprcoh oproch
oprohc opohrc opohcr oporhc oporch opocrh opochr oochpr oochrp oocphr oocprh
oocrph oocrhp oohcpr oohcrp oohpcr oohprc oohrpc oohrcp oophcr oophrc oopchr
oopcrh ooprch ooprhc oorhpc oorhcp oorphc oorpch oorcph oorchp corhpo corhop
corpho corpoh coroph corohp cohrpo cohrop cohpro cohpor cohopr cohorp cophro
cophor coprho coproh coporh copohr coohpr coohrp coophr cooprh coorph coorhp
crohpo crohop cropho cropoh crooph croohp crhopo crhoop crhpoo crhpoo crhopo
crhoop crphoo crphoo crpoho crpooh crpooh crpoho crohpo crohop cropho cropoh
crooph croohp chropo chroop chrpoo chrpoo chropo chroop chorpo chorop chopro
chopor choopr choorp chporo chpoor chproo chproo chporo chpoor choopr choorp
chopor chopro chorpo chorop cprhoo cprhoo cproho cprooh cprooh cproho cphroo
cphroo cphoro cphoor cphoor cphoro cpohro cpohor cporho cporoh cpoorh cpoohr
cpohor cpohro cpoohr cpoorh cporoh cporho corhpo corhop corpho corpoh coroph
corohp cohrpo cohrop cohpro cohpor cohopr cohorp cophro cophor coprho coproh
coporh copohr coohpr coohrp coophr cooprh coorph coorhp hocrpo hocrop hocpro
hocpor hocopr hocorp horcpo horcop horpco horpoc horopc horocp hoprco hoproc
hopcro hopcor hopocr hoporc hoorpc hoorcp hooprc hoopcr hoocpr hoocrp hcorpo
hcorop hcopro hcopor hcoopr hcoorp hcropo hcroop hcrpoo hcrpoo hcropo hcroop
hcproo hcproo hcporo hcpoor hcpoor hcporo hcorpo hcorop hcopro hcopor hcoopr
hcoorp hrcopo hrcoop hrcpoo hrcpoo hrcopo hrcoop hrocpo hrocop hropco hropoc
hroopc hroocp hrpoco hrpooc hrpcoo hrpcoo hrpoco hrpooc hroopc hroocp hropoc
hropco hrocpo hrocop hpcroo hpcroo hpcoro hpcoor hpcoor hpcoro hprcoo hprcoo
hproco hprooc hprooc hproco hporco hporoc hpocro hpocor hpoocr hpoorc hporoc
hporco hpoorc hpoocr hpocor hpocro hocrpo hocrop hocpro hocpor hocopr hocorp
horcpo horcop horpco horpoc horopc horocp hoprco hoproc hopcro hopcor hopocr
hoporc hoorpc hoorcp hooprc hoopcr hoocpr hoocrp pochro pochor pocrho pocroh
pocorh pocohr pohcro pohcor pohrco pohroc pohorc pohocr porhco porhoc porcho
porcoh poroch porohc poohrc poohcr poorhc poorch poocrh poochr pcohro pcohor
pcorho pcoroh pcoorh pcoohr pchoro pchoor pchroo pchroo pchoro pchoor pcrhoo
pcrhoo pcroho pcrooh pcrooh pcroho pcohro pcohor pcorho pcoroh pcoorh pcoohr
phcoro phcoor phcroo phcroo phcoro phcoor phocro phocor phorco phoroc phoorc
phoocr phroco phrooc phrcoo phrcoo phroco phrooc phoorc phoocr phoroc phorco
phocro phocor prchoo prchoo prcoho prcooh prcooh prcoho prhcoo prhcoo prhoco
prhooc prhooc prhoco prohco prohoc procho procoh prooch proohc prohoc prohco
proohc prooch procoh procho pochro pochor pocrho pocroh pocorh pocohr pohcro
pohcor pohrco pohroc pohorc pohocr porhco porhoc porcho porcoh poroch porohc
poohrc poohcr poorhc poorch poocrh poochr oochpr oochrp oocphr oocprh oocrph
oocrhp oohcpr oohcrp oohpcr oohprc oohrpc oohrcp oophcr oophrc oopchr oopcrh
ooprch ooprhc oorhpc oorhcp oorphc oorpch oorcph oorchp ocohpr ocohrp ocophr
ocoprh ocorph ocorhp ochopr ochorp ochpor ochpro ochrpo ochrop ocphor ocphro
ocpohr ocporh ocproh ocprho ocrhpo ocrhop ocrpho ocrpoh ocroph ocrohp ohcopr
ohcorp ohcpor ohcpro ohcrpo ohcrop ohocpr ohocrp ohopcr ohoprc ohorpc ohorcp
ohpocr ohporc ohpcor ohpcro ohprco ohproc ohropc ohrocp ohrpoc ohrpco ohrcpo
ohrcop opchor opchro opcohr opcorh opcroh opcrho ophcor ophcro ophocr ophorc
ophroc ophrco opohcr opohrc opochr opocrh oporch oporhc oprhoc oprhco oprohc
oproch oprcoh oprcho orchpo orchop orcpho orcpoh orcoph orcohp orhcpo orhcop
orhpco orhpoc orhopc orhocp orphco orphoc orpcho orpcoh orpoch orpohc orohpc
orohcp orophc oropch orocph orochp

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