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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: dildos
cipher variations:
ejmept fknfqu glogrv hmphsw inqitx
jorjuy kpskvz lqtlwa mrumxb nsvnyc
otwozd puxpae qvyqbf rwzrcg sxasdh
tybtei uzcufj vadvgk wbewhl xcfxim
ydgyjn zehzko afialp bgjbmq chkcnr

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: dildos
Cipher: wrowlh

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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: dildos
Cipher: AAABB ABAAA ABABA AAABB ABBAB 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: dildos
cipher variations:
ejmeptkzikrdqpeqtnwfawvxcvwcxhilsizrurkudlahgafv
gxcghfmnymjpsduslzytqynjfknfqulajlserqfruoxgbxwy
dwxdyijmtjasvslvembihbgwhydhignoznkqtevtmazurzok
glogrvmbkmtfsrgsvpyhcyxzexyezjknukbtwtmwfncjichx
izeijhopaolrufwunbavsaplhmphswnclnugtshtwqzidzya
fyzfaklovlcuxunxgodkjdiyjafjkipqbpmsvgxvocbwtbqm
inqitxodmovhutiuxrajeazbgzagblmpwmdvyvoyhpelkejz
kbgkljqrcqntwhywpdcxucrnjorjuypenpwivujvysbkfbac
habhcmnqxnewzwpziqfmlfkalchlmkrsdrouxizxqedyvdso
kpskvzqfoqxjwvkwztclgcbdibcidnoryofxaxqajrgnmglb
mdimnlstespvyjayrfezwetplqtlwargprykxwlxaudmhdce
jcdjeopszpgybyrbkshonhmcnejnomtuftqwzkbzsgfaxfuq
mrumxbshqszlyxmybveniedfkdekfpqtaqhzczscltipoind
ofkopnuvgurxalcathgbygvrnsvnyctirtamzynzcwfojfeg
leflgqrubriadatdmujqpjoepglpqovwhvsybmdbuihczhws
otwozdujsubnazoadxgpkgfhmfgmhrsvcsjbebuenvkrqkpf
qhmqrpwxiwtzcnecvjidaixtpuxpaevktvcobapbeyhqlhgi
nghnistwdtkcfcvfowlsrlqgrinrsqxyjxuadofdwkjebjyu
qvyqbfwluwdpcbqcfzirmihjohiojtuxeuldgdwgpxmtsmrh
sjostryzkyvbepgexlkfckzvrwzrcgxmvxeqdcrdgajsnjik
pijpkuvyfvmehexhqynutnsitkptuszalzwcfqhfymlgdlaw
sxasdhynwyfredsehbktokjlqjkqlvwzgwnfifyirzovuotj
ulquvtabmaxdgrigznmhembxtybteizoxzgsfetficluplkm
rklrmwxahxogjgzjsapwvpukvmrvwubcnbyehsjhaonifncy
uzcufjapyahtgfugjdmvqmlnslmsnxybiyphkhaktbqxwqvl
wnswxvcdoczfitkibpojgodzvadvgkbqzbiuhgvhkenwrnmo
tmntoyzcjzqiliblucryxrwmxotxywdepdagjuljcqpkhpea
wbewhlcracjvihwilfoxsonpunoupzadkarjmjcmvdszysxn
ypuyzxefqebhkvmkdrqliqfbxcfximdsbdkwjixjmgpytpoq
vopvqabelbsknkdnwetaztyozqvzayfgrfcilwnlesrmjrgc
ydgyjnetcelxkjyknhqzuqprwpqwrbcfmctloleoxfubauzp
arwabzghsgdjmxomftsnkshdzehzkofudfmylkzloiravrqs
xqrxscdgndumpmfpygvcbvaqbsxbcahitheknypngutoltie
afialpgvegnzmlampjsbwsrtyrsytdehoevnqngqzhwdcwbr
ctycdbijuiflozqohvupmujfbgjbmqhwfhoanmbnqktcxtsu
zstzuefipfworohraixedxcsduzdecjkvjgmparpiwvqnvkg
chkcnrixgipboncorludyutvatuavfgjqgxpspisbjyfeydt
evaefdklwkhnqbsqjxwrowlhdildosjyhjqcpodpsmvezvuw
buvbwghkrhyqtqjtckzgfzeufwbfgelmxliorctrkyxspxmi

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: dildos
Cipher: qvyqbf

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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: dildos
Cipher: 414213414334

Extended Methods:
Method #1

Plaintext: dildos
method variations:
ioqitxotvoyctyatdhydfyin

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d i l d o s 
4 4 1 4 4 3 
1 2 3 1 3 4 
They are then read out in rows:
441443123134
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: dildos
Cipher: tqofcs

Read more ...
Method #3

Plaintext: dildos
method variations:
qbsqnt bsqntq sqntqb
qntqbs ntqbsq tqbsqn

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: dildos

all 720 cipher variations:
dildos dildso dilods dilosd dilsod dilsdo didlos didlso didols didosl didsol
didslo diodls diodsl diolds diolsd diosld diosdl disdol disdlo disodl disold
dislod disldo dlidos dlidso dliods dliosd dlisod dlisdo dldios dldiso dldois
dldosi dldsoi dldsio dlodis dlodsi dloids dloisd dlosid dlosdi dlsdoi dlsdio
dlsodi dlsoid dlsiod dlsido ddlios ddliso ddlois ddlosi ddlsoi ddlsio ddilos
ddilso ddiols ddiosl ddisol ddislo ddoils ddoisl ddolis ddolsi ddosli ddosil
ddsiol ddsilo ddsoil ddsoli ddsloi ddslio doldis doldsi dolids dolisd dolsid
dolsdi dodlis dodlsi dodils dodisl dodsil dodsli doidls doidsl doilds doilsd
doisld doisdl dosdil dosdli dosidl dosild doslid dosldi dsldoi dsldio dslodi
dsloid dsliod dslido dsdloi dsdlio dsdoli dsdoil dsdiol dsdilo dsodli dsodil
dsoldi dsolid dsoild dsoidl dsidol dsidlo dsiodl dsiold dsilod dsildo idldos
idldso idlods idlosd idlsod idlsdo iddlos iddlso iddols iddosl iddsol iddslo
idodls idodsl idolds idolsd idosld idosdl idsdol idsdlo idsodl idsold idslod
idsldo ilddos ilddso ildods ildosd ildsod ildsdo ilddos ilddso ildods ildosd
ildsod ildsdo ilodds ilodsd ilodds ilodsd ilosdd ilosdd ilsdod ilsddo ilsodd
ilsodd ilsdod ilsddo idldos idldso idlods idlosd idlsod idlsdo iddlos iddlso
iddols iddosl iddsol iddslo idodls idodsl idolds idolsd idosld idosdl idsdol
idsdlo idsodl idsold idslod idsldo ioldds ioldsd ioldds ioldsd iolsdd iolsdd
iodlds iodlsd ioddls ioddsl iodsdl iodsld ioddls ioddsl iodlds iodlsd iodsld
iodsdl iosddl iosdld iosddl iosdld iosldd iosldd isldod islddo islodd islodd
isldod islddo isdlod isdldo isdold isdodl isddol isddlo isodld isoddl isoldd
isoldd isodld isoddl isddol isddlo isdodl isdold isdlod isdldo liddos liddso
lidods lidosd lidsod lidsdo liddos liddso lidods lidosd lidsod lidsdo liodds
liodsd liodds liodsd liosdd liosdd lisdod lisddo lisodd lisodd lisdod lisddo
ldidos ldidso ldiods ldiosd ldisod ldisdo lddios lddiso lddois lddosi lddsoi
lddsio ldodis ldodsi ldoids ldoisd ldosid ldosdi ldsdoi ldsdio ldsodi ldsoid
ldsiod ldsido lddios lddiso lddois lddosi lddsoi lddsio ldidos ldidso ldiods
ldiosd ldisod ldisdo ldoids ldoisd ldodis ldodsi ldosdi ldosid ldsiod ldsido
ldsoid ldsodi ldsdoi ldsdio loddis loddsi lodids lodisd lodsid lodsdi loddis
loddsi lodids lodisd lodsid lodsdi loidds loidsd loidds loidsd loisdd loisdd
losdid losddi losidd losidd losdid losddi lsddoi lsddio lsdodi lsdoid lsdiod
lsdido lsddoi lsddio lsdodi lsdoid lsdiod lsdido lsoddi lsodid lsoddi lsodid
lsoidd lsoidd lsidod lsiddo lsiodd lsiodd lsidod lsiddo dildos dildso dilods
dilosd dilsod dilsdo didlos didlso didols didosl didsol didslo diodls diodsl
diolds diolsd diosld diosdl disdol disdlo disodl disold dislod disldo dlidos
dlidso dliods dliosd dlisod dlisdo dldios dldiso dldois dldosi dldsoi dldsio
dlodis dlodsi dloids dloisd dlosid dlosdi dlsdoi dlsdio dlsodi dlsoid dlsiod
dlsido ddlios ddliso ddlois ddlosi ddlsoi ddlsio ddilos ddilso ddiols ddiosl
ddisol ddislo ddoils ddoisl ddolis ddolsi ddosli ddosil ddsiol ddsilo ddsoil
ddsoli ddsloi ddslio doldis doldsi dolids dolisd dolsid dolsdi dodlis dodlsi
dodils dodisl dodsil dodsli doidls doidsl doilds doilsd doisld doisdl dosdil
dosdli dosidl dosild doslid dosldi dsldoi dsldio dslodi dsloid dsliod dslido
dsdloi dsdlio dsdoli dsdoil dsdiol dsdilo dsodli dsodil dsoldi dsolid dsoild
dsoidl dsidol dsidlo dsiodl dsiold dsilod dsildo oildds oildsd oildds oildsd
oilsdd oilsdd oidlds oidlsd oiddls oiddsl oidsdl oidsld oiddls oiddsl oidlds
oidlsd oidsld oidsdl oisddl oisdld oisddl oisdld oisldd oisldd olidds olidsd
olidds olidsd olisdd olisdd oldids oldisd olddis olddsi oldsdi oldsid olddis
olddsi oldids oldisd oldsid oldsdi olsddi olsdid olsddi olsdid olsidd olsidd
odlids odlisd odldis odldsi odlsdi odlsid odilds odilsd odidls odidsl odisdl
odisld oddils oddisl oddlis oddlsi oddsli oddsil odsidl odsild odsdil odsdli
odsldi odslid odldis odldsi odlids odlisd odlsid odlsdi oddlis oddlsi oddils
oddisl oddsil oddsli odidls odidsl odilds odilsd odisld odisdl odsdil odsdli
odsidl odsild odslid odsldi oslddi osldid oslddi osldid oslidd oslidd osdldi
osdlid osddli osddil osdidl osdild osddli osddil osdldi osdlid osdild osdidl
osiddl osidld osiddl osidld osildd osildd sildod silddo silodd silodd sildod
silddo sidlod sidldo sidold sidodl siddol siddlo siodld sioddl sioldd sioldd
siodld sioddl siddol siddlo sidodl sidold sidlod sidldo slidod sliddo sliodd
sliodd slidod sliddo sldiod sldido sldoid sldodi slddoi slddio slodid sloddi
sloidd sloidd slodid sloddi slddoi slddio sldodi sldoid sldiod sldido sdliod
sdlido sdloid sdlodi sdldoi sdldio sdilod sdildo sdiold sdiodl sdidol sdidlo
sdoild sdoidl sdolid sdoldi sdodli sdodil sddiol sddilo sddoil sddoli sddloi
sddlio soldid solddi solidd solidd soldid solddi sodlid sodldi sodild sodidl
soddil soddli soidld soiddl soildd soildd soidld soiddl soddil soddli sodidl
sodild sodlid sodldi sdldoi sdldio sdlodi sdloid sdliod sdlido sddloi sddlio
sddoli sddoil sddiol sddilo sdodli sdodil sdoldi sdolid sdoild sdoidl sdidol
sdidlo sdiodl sdiold sdilod sdildo

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

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