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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: rimey
cipher variations:
sjnfz tkoga ulphb vmqic wnrjd
xoske yptlf zqumg arvnh bswoi
ctxpj duyqk evzrl fwasm gxbtn
hycuo izdvp jaewq kbfxr lcgys
mdhzt neiau ofjbv pgkcw qhldx

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: rimey
Cipher: irnvb

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: rimey
Cipher: BAAAA ABAAA ABABB AABAA BABBA

Read more ...

 

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: rimey
cipher variations:
sjnfz
azlnv
ipjvr
qfhdn
yvflj
gldtf
wrzjx
ehxrt
mxvzp
unthl
cdrph
ktpxd
tkoga
bamow
jqkws
rgieo
zwgmk
hmeug
xsaky
fiysu
nywaq
vouim
desqi
luqye
ulphb
cbnpx
krlxt
shjfp
axhnl
infvh
ytblz
gjztv
ozxbr
wpvjn
eftrj
mvrzf
vmqic
dcoqy
lsmyu
tikgq
byiom
jogwi
zucma
hkauw
paycs
xqwko
fgusk
nwsag
wnrjd
edprz
mtnzv
ujlhr
czjpn
kphxj
avdnb
ilbvx
qbzdt
yrxlp
ghvtl
oxtbh
xoske
feqsa
nuoaw
vkmis
dakqo
lqiyk
bweoc
jmcwy
rcaeu
zsymq
hiwum
pyuci
yptlf
gfrtb
ovpbx
wlnjt
eblrp
mrjzl
cxfpd
kndxz
sdbfv
atznr
ijxvn
qzvdj
zqumg
hgsuc
pwqcy
xmoku
fcmsq
nskam
dygqe
loeya
tecgw
buaos
jkywo
rawek
arvnh
ihtvd
qxrdz
ynplv
gdntr
otlbn
ezhrf
mpfzb
ufdhx
cvbpt
klzxp
sbxfl
bswoi
jiuwe
rysea
zoqmw
heous
pumco
faisg
nqgac
vgeiy
dwcqu
lmayq
tcygm
ctxpj
kjvxf
sztfb
aprnx
ifpvt
qvndp
gbjth
orhbd
whfjz
exdrv
mnbzr
udzhn
duyqk
lkwyg
taugc
bqsoy
jgqwu
rwoeq
hckui
psice
xigka
fyesw
nocas
veaio
evzrl
mlxzh
ubvhd
crtpz
khrxv
sxpfr
idlvj
qtjdf
yjhlb
gzftx
opdbt
wfbjp
fwasm
nmyai
vcwie
dsuqa
lisyw
tyqgs
jemwk
rukeg
zkimc
haguy
pqecu
xgckq
gxbtn
onzbj
wdxjf
etvrb
mjtzx
uzrht
kfnxl
svlfh
aljnd
ibhvz
qrfdv
yhdlr
hycuo
poack
xeykg
fuwsc
nkuay
vasiu
lgoym
twmgi
bmkoe
jciwa
rsgew
ziems
izdvp
qpbdl
yfzlh
gvxtd
olvbz
wbtjv
mhpzn
uxnhj
cnlpf
kdjxb
sthfx
ajfnt
jaewq
rqcem
zgami
hwyue
pmwca
xcukw
niqao
vyoik
domqg
lekyc
tuigy
bkgou
kbfxr
srdfn
ahbnj
ixzvf
qnxdb
ydvlx
ojrbp
wzpjl
epnrh
mflzd
uvjhz
clhpv
lcgys
tsego
bicok
jyawg
royec
zewmy
pkscq
xaqkm
fqosi
ngmae
vwkia
dmiqw
mdhzt
utfhp
cjdpl
kzbxh
spzfd
afxnz
qltdr
ybrln
grptj
ohnbf
wxljb
enjrx
neiau
vugiq
dkeqm
lacyi
tqage
bgyoa
rmues
zcsmo
hsquk
piocg
xymkc
foksy
ofjbv
wvhjr
elfrn
mbdzj
urbhf
chzpb
snvft
adtnp
itrvl
qjpdh
yznld
gpltz
pgkcw
xwiks
fmgso
nceak
vscig
diaqc
towgu
beuoq
juswm
rkqei
zaome
hqmua
qhldx
yxjlt
gnhtp
odfbl
wtdjh
ejbrd
upxhv
cfvpr
kvtxn
slrfj
abpnf
irnvb
rimey
zykmu
hoiuq
pegcm
xueki
fkcse
vqyiw
dgwqs
lwuyo
tmsgk
bcqog
jsowc

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: rimey
Cipher: evzrl

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: rimey
Cipher: 2442235145

Extended Methods:
Method #1

Plaintext: rimey
method variations:
workdbtwpigybuomdgzt

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
r i m e y 
2 4 2 5 4 
4 2 3 1 5 
They are then read out in rows:
2425442315
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: rimey
Cipher: rwtmv

Read more ...
Method #3

Plaintext: rimey
method variations:
tgxqk gxqkt xqktg
qktgx ktgxq

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: rimey
all 120 cipher variations:
rimey
rimye
riemy
rieym
riyem
riyme
rmiey
rmiye
rmeiy
rmeyi
rmyei
rmyie
remiy
remyi
reimy
reiym
reyim
reymi
rymei
rymie
ryemi
ryeim
ryiem
ryime
irmey
irmye
iremy
ireym
iryem
iryme
imrey
imrye
imery
imeyr
imyer
imyre
iemry
iemyr
iermy
ierym
ieyrm
ieymr
iymer
iymre
iyemr
iyerm
iyrem
iyrme
mirey
mirye
miery
mieyr
miyer
miyre
mriey
mriye
mreiy
mreyi
mryei
mryie
meriy
meryi
meiry
meiyr
meyir
meyri
myrei
myrie
myeri
myeir
myier
myire
eimry
eimyr
eirmy
eirym
eiyrm
eiymr
emiry
emiyr
emriy
emryi
emyri
emyir
ermiy
ermyi
erimy
eriym
eryim
erymi
eymri
eymir
eyrmi
eyrim
eyirm
eyimr
yimer
yimre
yiemr
yierm
yirem
yirme
ymier
ymire
ymeir
ymeri
ymrei
ymrie
yemir
yemri
yeimr
yeirm
yerim
yermi
yrmei
yrmie
yremi
yreim
yriem
yrime

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


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