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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: viscin
cipher variations:
wjtdjo xkuekp ylvflq zmwgmr anxhns
boyiot cpzjpu dqakqv erblrw fscmsx
gtdnty hueouz ivfpva jwgqwb kxhrxc
lyisyd mzjtze nakuaf oblvbg pcmwch
qdnxdi reoyej sfpzfk tgqagl uhrbhm

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: viscin
Cipher: erhxrm

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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: viscin
Cipher: BBBAB ABAAA BAAAB AAABA ABAAA 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: viscin
cipher variations:
wjtdjomzdhzocpnlposfxpfoivhtvoylrxloerlfrouhvjho
kxfnxoanprnoqdzvdogtjztoxkuekpnaeiapdqomqptgyqgp
jwiuwpzmsympfsmgspviwkiplygoypboqsopreawephukaup
ylvflqobfjbqerpnrquhzrhqkxjvxqantznqgtnhtqwjxljq
mzhpzqcprtpqsfbxfqivlbvqzmwgmrpcgkcrfsqosrviasir
lykwyrbouaorhuoiurxkymkrnaiqardqsuqrtgcygrjwmcwr
anxhnsqdhldsgtrptswjbtjsmzlxzscpvbpsivpjvsylznls
objrbsertvrsuhdzhskxndxsboyiotreimethusqutxkcukt
namyatdqwcqtjwqkwtzmaomtpcksctfsuwstvieaitlyoeyt
cpzjpusfjnfuivtrvuyldvluobnzbuerxdrukxrlxuanbpnu
qdltdugtvxtuwjfbjumzpfzudqakqvtgkogvjwuswvzmewmv
pcoacvfsyesvlysmyvbocqovremuevhuwyuvxkgckvnaqgav
erblrwuhlphwkxvtxwanfxnwqdpbdwgtzftwmztnzwcpdrpw
sfnvfwivxzvwylhdlwobrhbwfscmsxvimqixlywuyxbogyox
reqcexhuaguxnauoaxdqesqxtgowgxjwyawxzmiemxpcsicx
gtdntywjnrjymzxvzycphzpysfrdfyivbhvyobvpbyerftry
uhpxhykxzbxyanjfnyqdtjdyhueouzxkoskznaywazdqiaqz
tgsegzjwciwzpcwqczfsguszviqyizlyacyzbokgozreukez
ivfpvaylptlaobzxbaerjbrauhtfhakxdjxaqdxrdagthvta
wjrzjamzbdzacplhpasfvlfajwgqwbzmqumbpcaycbfskcsb
viugiblyekybreysebhuiwubxksakbnaceabdqmiqbtgwmgb
kxhrxcanrvncqdbzdcgtldtcwjvhjcmzflzcsfztfcivjxvc
yltblcobdfbcernjrcuhxnhclyisydboswodrecaedhumeud
xkwikdnagmadtgaugdjwkywdzmucmdpcegcdfsoksdviyoid
mzjtzecptxpesfdbfeivnfveylxjleobhnbeuhbvhekxlzxe
anvdneqdfhdegtpltewjzpjenakuafdquyqftgecgfjwogwf
zmykmfpciocfvicwiflymayfboweofregiefhuqmufxkaqkf
oblvbgervzrguhfdhgkxphxganzlngqdjpdgwjdxjgmznbzg
cpxfpgsfhjfgivrnvgylbrlgpcmwchfswashvigeihlyqiyh
boamohrekqehxkeykhnaocahdqygqhtgikghjwsowhzmcsmh
qdnxdigtxbtiwjhfjimzrjzicpbnpisflrfiylfzliobpdbi
erzhriuhjlhikxtpxiandtnireoyejhuycujxkigkjnaskaj
dqcoqjtgmsgjzmgamjpcqecjfsaisjvikmijlyuqyjboeuoj
sfpzfkivzdvkyljhlkobtlbkerdprkuhnthkanhbnkqdrfdk
gtbjtkwjlnjkmzvrzkcpfvpktgqagljwaewlzmkimlpcumcl
fseqslviouilboicolresgelhuckulxkmoklnawsaldqgwql
uhrbhmkxbfxmanljnmqdvndmgtfrtmwjpvjmcpjdpmsfthfm
ivdlvmylnplmobxtbmerhxrmviscinlycgynbomkonrewoen
hugsunxkqwkndqkeqntguignjwemwnzmoqmnpcyucnfsiysn

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: viscin
Cipher: ivfpva

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: viscin
Cipher: 154234314233

Extended Methods:
Method #1

Plaintext: viscin
method variations:
aoxhosftcntxlyhsycqdnxdh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
v i s c i n 
1 4 3 3 4 3 
5 2 4 1 2 3 
They are then read out in rows:
143343524123
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: viscin
Cipher: qnokdm

Read more ...
Method #3

Plaintext: viscin
method variations:
umoqmc moqmcu oqmcum
qmcumo mcumoq cumoqm

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: viscin

all 720 cipher variations:
viscin viscni visicn visinc visnic visnci vicsin vicsni vicisn vicins vicnis
vicnsi viicsn viicns viiscn viisnc viinsc viincs vincis vincsi vinics vinisc
vinsic vinsci vsicin vsicni vsiicn vsiinc vsinic vsinci vsciin vscini vsciin
vscini vscnii vscnii vsicin vsicni vsiicn vsiinc vsinic vsinci vsncii vsncii
vsnici vsniic vsniic vsnici vcsiin vcsini vcsiin vcsini vcsnii vcsnii vcisin
vcisni vciisn vciins vcinis vcinsi vciisn vciins vcisin vcisni vcinsi vcinis
vcniis vcnisi vcniis vcnisi vcnsii vcnsii viscin viscni visicn visinc visnic
visnci vicsin vicsni vicisn vicins vicnis vicnsi viicsn viicns viiscn viisnc
viinsc viincs vincis vincsi vinics vinisc vinsic vinsci vnscii vnscii vnsici
vnsiic vnsiic vnsici vncsii vncsii vncisi vnciis vnciis vncisi vnicsi vnicis
vnisci vnisic vniisc vniics vnicis vnicsi vniics vniisc vnisic vnisci ivscin
ivscni ivsicn ivsinc ivsnic ivsnci ivcsin ivcsni ivcisn ivcins ivcnis ivcnsi
ivicsn ivicns iviscn ivisnc ivinsc ivincs ivncis ivncsi ivnics ivnisc ivnsic
ivnsci isvcin isvcni isvicn isvinc isvnic isvnci iscvin iscvni iscivn iscinv
iscniv iscnvi isicvn isicnv isivcn isivnc isinvc isincv isnciv isncvi isnicv
isnivc isnvic isnvci icsvin icsvni icsivn icsinv icsniv icsnvi icvsin icvsni
icvisn icvins icvnis icvnsi icivsn icivns icisvn icisnv icinsv icinvs icnvis
icnvsi icnivs icnisv icnsiv icnsvi iiscvn iiscnv iisvcn iisvnc iisnvc iisncv
iicsvn iicsnv iicvsn iicvns iicnvs iicnsv iivcsn iivcns iivscn iivsnc iivnsc
iivncs iincvs iincsv iinvcs iinvsc iinsvc iinscv insciv inscvi insicv insivc
insvic insvci incsiv incsvi incisv incivs incvis incvsi inicsv inicvs iniscv
inisvc inivsc inivcs invcis invcsi invics invisc invsic invsci sivcin sivcni
sivicn sivinc sivnic sivnci sicvin sicvni sicivn sicinv sicniv sicnvi siicvn
siicnv siivcn siivnc siinvc siincv sinciv sincvi sinicv sinivc sinvic sinvci
svicin svicni sviicn sviinc svinic svinci svciin svcini svciin svcini svcnii
svcnii svicin svicni sviicn sviinc svinic svinci svncii svncii svnici svniic
svniic svnici scviin scvini scviin scvini scvnii scvnii scivin scivni sciivn
sciinv sciniv scinvi sciivn sciinv scivin scivni scinvi sciniv scniiv scnivi
scniiv scnivi scnvii scnvii sivcin sivcni sivicn sivinc sivnic sivnci sicvin
sicvni sicivn sicinv sicniv sicnvi siicvn siicnv siivcn siivnc siinvc siincv
sinciv sincvi sinicv sinivc sinvic sinvci snvcii snvcii snvici snviic snviic
snvici sncvii sncvii sncivi snciiv snciiv sncivi snicvi sniciv snivci snivic
sniivc sniicv sniciv snicvi sniicv sniivc snivic snivci cisvin cisvni cisivn
cisinv cisniv cisnvi civsin civsni civisn civins civnis civnsi ciivsn ciivns
ciisvn ciisnv ciinsv ciinvs cinvis cinvsi cinivs cinisv cinsiv cinsvi csivin
csivni csiivn csiinv csiniv csinvi csviin csvini csviin csvini csvnii csvnii
csivin csivni csiivn csiinv csiniv csinvi csnvii csnvii csnivi csniiv csniiv
csnivi cvsiin cvsini cvsiin cvsini cvsnii cvsnii cvisin cvisni cviisn cviins
cvinis cvinsi cviisn cviins cvisin cvisni cvinsi cvinis cvniis cvnisi cvniis
cvnisi cvnsii cvnsii cisvin cisvni cisivn cisinv cisniv cisnvi civsin civsni
civisn civins civnis civnsi ciivsn ciivns ciisvn ciisnv ciinsv ciinvs cinvis
cinvsi cinivs cinisv cinsiv cinsvi cnsvii cnsvii cnsivi cnsiiv cnsiiv cnsivi
cnvsii cnvsii cnvisi cnviis cnviis cnvisi cnivsi cnivis cnisvi cnisiv cniisv
cniivs cnivis cnivsi cniivs cniisv cnisiv cnisvi iiscvn iiscnv iisvcn iisvnc
iisnvc iisncv iicsvn iicsnv iicvsn iicvns iicnvs iicnsv iivcsn iivcns iivscn
iivsnc iivnsc iivncs iincvs iincsv iinvcs iinvsc iinsvc iinscv isicvn isicnv
isivcn isivnc isinvc isincv iscivn iscinv iscvin iscvni iscnvi iscniv isvcin
isvcni isvicn isvinc isvnic isvnci isncvi isnciv isnvci isnvic isnivc isnicv
icsivn icsinv icsvin icsvni icsnvi icsniv icisvn icisnv icivsn icivns icinvs
icinsv icvisn icvins icvsin icvsni icvnsi icvnis icnivs icnisv icnvis icnvsi
icnsvi icnsiv ivscin ivscni ivsicn ivsinc ivsnic ivsnci ivcsin ivcsni ivcisn
ivcins ivcnis ivcnsi ivicsn ivicns iviscn ivisnc ivinsc ivincs ivncis ivncsi
ivnics ivnisc ivnsic ivnsci inscvi insciv insvci insvic insivc insicv incsvi
incsiv incvsi incvis incivs incisv invcsi invcis invsci invsic invisc invics
inicvs inicsv inivcs inivsc inisvc iniscv nisciv niscvi nisicv nisivc nisvic
nisvci nicsiv nicsvi nicisv nicivs nicvis nicvsi niicsv niicvs niiscv niisvc
niivsc niivcs nivcis nivcsi nivics nivisc nivsic nivsci nsiciv nsicvi nsiicv
nsiivc nsivic nsivci nsciiv nscivi nsciiv nscivi nscvii nscvii nsiciv nsicvi
nsiicv nsiivc nsivic nsivci nsvcii nsvcii nsvici nsviic nsviic nsvici ncsiiv
ncsivi ncsiiv ncsivi ncsvii ncsvii ncisiv ncisvi nciisv nciivs ncivis ncivsi
nciisv nciivs ncisiv ncisvi ncivsi ncivis ncviis ncvisi ncviis ncvisi ncvsii
ncvsii nisciv niscvi nisicv nisivc nisvic nisvci nicsiv nicsvi nicisv nicivs
nicvis nicvsi niicsv niicvs niiscv niisvc niivsc niivcs nivcis nivcsi nivics
nivisc nivsic nivsci nvscii nvscii nvsici nvsiic nvsiic nvsici nvcsii nvcsii
nvcisi nvciis nvciis nvcisi nvicsi nvicis nvisci nvisic nviisc nviics nvicis
nvicsi nviics nviisc nvisic nvisci

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

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