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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: ccohen
cipher variations:
ddpifo eeqjgp ffrkhq ggslir hhtmjs
iiunkt jjvolu kkwpmv llxqnw mmyrox
nnzspy ooatqz ppbura qqcvsb rrdwtc
ssexud ttfyve uugzwf vvhaxg wwibyh
xxjczi yykdaj zzlebk aamfcl bbngdm

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: ccohen
Cipher: xxlsvm

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: ccohen
Cipher: AAABA AAABA ABBAB AABBB AABAA ABBAA

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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: ccohen
cipher variations:
ddpifohhrwnolltkvoppvydottxmloxxzatoffdcjojjfqro
nnhezorrjshovvlgpozznuxoeeqjgpiisxopmmulwpqqwzep
uuynmpyyabupggedkpkkgrspooifapssktipwwmhqpaaovyp
ffrkhqjjtypqnnvmxqrrxafqvvzonqzzbcvqhhfelqllhstq
ppjgbqttlujqxxnirqbbpwzqggslirkkuzqroownyrssybgr
wwaporaacdwriigfmrmmiturqqkhcruumvkryyojsrccqxar
hhtmjsllvarsppxozsttzchsxxbqpsbbdexsjjhgnsnnjuvs
rrlidsvvnwlszzpktsddrybsiiunktmmwbstqqypatuuadit
yycrqtccefytkkihotookvwtssmjetwwoxmtaaqluteeszct
jjvolunnxcturrzqbuvvbejuzzdsruddfgzulljipupplwxu
ttnkfuxxpynubbrmvufftadukkwpmvooyduvssarcvwwcfkv
aaetsveeghavmmkjqvqqmxyvuuolgvyyqzovccsnwvggubev
llxqnwppzevwttbsdwxxdglwbbfutwffhibwnnlkrwrrnyzw
vvpmhwzzrapwddtoxwhhvcfwmmyroxqqafwxuuctexyyehmx
ccgvuxggijcxoomlsxssozaxwwqnixaasbqxeeupyxiiwdgx
nnzspyrrbgxyvvdufyzzfinyddhwvyhhjkdyppnmtyttpaby
xxrojybbtcryffvqzyjjxehyooatqzsschyzwwevgzaagjoz
eeixwziiklezqqonuzuuqbczyyspkzccudszggwrazkkyfiz
ppburattdizaxxfwhabbhkpaffjyxajjlmfarrpovavvrcda
zztqladdvetahhxsballzgjaqqcvsbuuejabyygxibccilqb
ggkzybkkmngbssqpwbwwsdebaaurmbeewfubiiytcbmmahkb
rrdwtcvvfkbczzhyjcddjmrchhlazcllnohcttrqxcxxtefc
bbvsncffxgvcjjzudcnnbilcssexudwwglcdaaizkdeeknsd
iimbadmmopiduusrydyyufgdccwtodggyhwdkkavedoocjmd
ttfyvexxhmdebbjalefflotejjncbennpqjevvtszezzvghe
ddxupehhzixellbwfeppdkneuugzwfyyinefcckbmfggmpuf
kkodcfooqrkfwwutafaawhifeeyvqfiiajyfmmcxgfqqelof
vvhaxgzzjofgddlcnghhnqvgllpedgpprslgxxvubgbbxijg
ffzwrgjjbkzgnndyhgrrfmpgwwibyhaakpgheemdohiiorwh
mmqfehqqstmhyywvchccyjkhggaxshkkclahooezihssgnqh
xxjczibblqhiffnepijjpsxinnrgfirrtunizzxwdiddzkli
hhbytilldmbippfajitthoriyykdajccmrijggofqjkkqtyj
ooshgjssuvojaayxejeealmjiiczujmmencjqqgbkjuuipsj
zzlebkddnsjkhhpgrkllruzkpptihkttvwpkbbzyfkffbmnk
jjdavknnfodkrrhclkvvjqtkaamfcleeotkliiqhslmmsval
qqujiluuwxqlccazglggcnolkkebwloogpelssidmlwwkrul
bbngdmffpulmjjritmnntwbmrrvkjmvvxyrmddbahmhhdopm
llfcxmpphqfmttjenmxxlsvmccohenggqvmnkksjunoouxcn
sswlknwwyzsneecbiniiepqnmmgdynqqirgnuukfonyymtwn

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: ccohen
Cipher: ppbura

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: ccohen
Cipher: 313143325133

Extended Methods:
Method #1

Plaintext: ccohen
method variations:
hhtnksnnyspxssdxucxxiczh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
c c o h e n 
3 3 4 3 5 3 
1 1 3 2 1 3 
They are then read out in rows:
334353113213
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: ccohen
Cipher: nopahl

Read more ...
Method #3

Plaintext: ccohen
method variations:
lqnwln qnwlnl nwlnlq
wlnlqn lnlqnw nlqnwl

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: ccohen

all 720 cipher variations:
ccohen ccohne ccoehn ccoenh cconeh cconhe cchoen cchone ccheon ccheno cchneo
cchnoe ccehon ccehno cceohn cceonh ccenoh ccenho ccnheo ccnhoe ccneho ccneoh
ccnoeh ccnohe cochen cochne cocehn cocenh cocneh cocnhe cohcen cohcne cohecn
cohenc cohnec cohnce coehcn coehnc coechn coecnh coench coenhc conhec conhce
conehc conech conceh conche chocen chocne choecn choenc chonec chonce chcoen
chcone chceon chceno chcneo chcnoe checon checno cheocn cheonc chenoc chenco
chnceo chncoe chneco chneoc chnoec chnoce ceohcn ceohnc ceochn ceocnh ceonch
ceonhc cehocn cehonc cehcon cehcno cehnco cehnoc cechon cechno cecohn ceconh
cecnoh cecnho cenhco cenhoc cencho cencoh cenoch cenohc cnohec cnohce cnoehc
cnoech cnoceh cnoche cnhoec cnhoce cnheoc cnheco cnhceo cnhcoe cnehoc cnehco
cneohc cneoch cnecoh cnecho cncheo cnchoe cnceho cnceoh cncoeh cncohe ccohen
ccohne ccoehn ccoenh cconeh cconhe cchoen cchone ccheon ccheno cchneo cchnoe
ccehon ccehno cceohn cceonh ccenoh ccenho ccnheo ccnhoe ccneho ccneoh ccnoeh
ccnohe cochen cochne cocehn cocenh cocneh cocnhe cohcen cohcne cohecn cohenc
cohnec cohnce coehcn coehnc coechn coecnh coench coenhc conhec conhce conehc
conech conceh conche chocen chocne choecn choenc chonec chonce chcoen chcone
chceon chceno chcneo chcnoe checon checno cheocn cheonc chenoc chenco chnceo
chncoe chneco chneoc chnoec chnoce ceohcn ceohnc ceochn ceocnh ceonch ceonhc
cehocn cehonc cehcon cehcno cehnco cehnoc cechon cechno cecohn ceconh cecnoh
cecnho cenhco cenhoc cencho cencoh cenoch cenohc cnohec cnohce cnoehc cnoech
cnoceh cnoche cnhoec cnhoce cnheoc cnheco cnhceo cnhcoe cnehoc cnehco cneohc
cneoch cnecoh cnecho cncheo cnchoe cnceho cnceoh cncoeh cncohe occhen occhne
occehn occenh occneh occnhe ochcen ochcne ochecn ochenc ochnec ochnce ocehcn
ocehnc ocechn ocecnh ocench ocenhc ocnhec ocnhce ocnehc ocnech ocnceh ocnche
occhen occhne occehn occenh occneh occnhe ochcen ochcne ochecn ochenc ochnec
ochnce ocehcn ocehnc ocechn ocecnh ocench ocenhc ocnhec ocnhce ocnehc ocnech
ocnceh ocnche ohccen ohccne ohcecn ohcenc ohcnec ohcnce ohccen ohccne ohcecn
ohcenc ohcnec ohcnce oheccn ohecnc oheccn ohecnc ohencc ohencc ohncec ohncce
ohnecc ohnecc ohncec ohncce oechcn oechnc oecchn oeccnh oecnch oecnhc oehccn
oehcnc oehccn oehcnc oehncc oehncc oechcn oechnc oecchn oeccnh oecnch oecnhc
oenhcc oenhcc oenchc oencch oencch oenchc onchec onchce oncehc oncech oncceh
oncche onhcec onhcce onhecc onhecc onhcec onhcce onehcc onehcc onechc onecch
onecch onechc onchec onchce oncehc oncech oncceh oncche hcocen hcocne hcoecn
hcoenc hconec hconce hccoen hccone hcceon hcceno hccneo hccnoe hcecon hcecno
hceocn hceonc hcenoc hcenco hcnceo hcncoe hcneco hcneoc hcnoec hcnoce hoccen
hoccne hocecn hocenc hocnec hocnce hoccen hoccne hocecn hocenc hocnec hocnce
hoeccn hoecnc hoeccn hoecnc hoencc hoencc honcec honcce honecc honecc honcec
honcce hcocen hcocne hcoecn hcoenc hconec hconce hccoen hccone hcceon hcceno
hccneo hccnoe hcecon hcecno hceocn hceonc hcenoc hcenco hcnceo hcncoe hcneco
hcneoc hcnoec hcnoce heoccn heocnc heoccn heocnc heoncc heoncc hecocn heconc
heccon heccno hecnco hecnoc heccon heccno hecocn heconc hecnoc hecnco hencco
hencoc hencco hencoc henocc henocc hnocec hnocce hnoecc hnoecc hnocec hnocce
hncoec hncoce hnceoc hnceco hncceo hnccoe hnecoc hnecco hneocc hneocc hnecoc
hnecco hncceo hnccoe hnceco hnceoc hncoec hncoce ecohcn ecohnc ecochn ecocnh
econch econhc echocn echonc echcon echcno echnco echnoc ecchon ecchno eccohn
ecconh eccnoh eccnho ecnhco ecnhoc ecncho ecncoh ecnoch ecnohc eochcn eochnc
eocchn eoccnh eocnch eocnhc eohccn eohcnc eohccn eohcnc eohncc eohncc eochcn
eochnc eocchn eoccnh eocnch eocnhc eonhcc eonhcc eonchc eoncch eoncch eonchc
ehoccn ehocnc ehoccn ehocnc ehoncc ehoncc ehcocn ehconc ehccon ehccno ehcnco
ehcnoc ehccon ehccno ehcocn ehconc ehcnoc ehcnco ehncco ehncoc ehncco ehncoc
ehnocc ehnocc ecohcn ecohnc ecochn ecocnh econch econhc echocn echonc echcon
echcno echnco echnoc ecchon ecchno eccohn ecconh eccnoh eccnho ecnhco ecnhoc
ecncho ecncoh ecnoch ecnohc enohcc enohcc enochc enocch enocch enochc enhocc
enhocc enhcoc enhcco enhcco enhcoc enchoc enchco encohc encoch enccoh enccho
enchco enchoc enccho enccoh encoch encohc ncohec ncohce ncoehc ncoech ncoceh
ncoche nchoec nchoce ncheoc ncheco nchceo nchcoe ncehoc ncehco nceohc nceoch
ncecoh ncecho nccheo ncchoe ncceho ncceoh nccoeh nccohe nochec nochce nocehc
nocech nocceh nocche nohcec nohcce nohecc nohecc nohcec nohcce noehcc noehcc
noechc noecch noecch noechc nochec nochce nocehc nocech nocceh nocche nhocec
nhocce nhoecc nhoecc nhocec nhocce nhcoec nhcoce nhceoc nhceco nhcceo nhccoe
nhecoc nhecco nheocc nheocc nhecoc nhecco nhcceo nhccoe nhceco nhceoc nhcoec
nhcoce neohcc neohcc neochc neocch neocch neochc nehocc nehocc nehcoc nehcco
nehcco nehcoc nechoc nechco necohc necoch neccoh neccho nechco nechoc neccho
neccoh necoch necohc ncohec ncohce ncoehc ncoech ncoceh ncoche nchoec nchoce
ncheoc ncheco nchceo nchcoe ncehoc ncehco nceohc nceoch ncecoh ncecho nccheo
ncchoe ncceho ncceoh nccoeh nccohe

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

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