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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: goldf
cipher variations:
hpmeg iqnfh jrogi ksphj ltqik
murjl nvskm owtln pxumo qyvnp
rzwoq saxpr tbyqs uczrt vdasu
webtv xfcuw ygdvx zhewy aifxz
bjgya ckhzb dliac emjbd fnkce

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: goldf
Cipher: tlowu

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: goldf
Cipher: AABBA ABBAB ABABA AAABB AABAB

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: goldf
cipher variations:
hpmeg
trikq
fteqa
rvawk
dxwcu
pzsie
ndkuy
zfgai
lhcgs
xjymc
jlusm
vnqyw
iqnfh
usjlr
gufrb
swbxl
eyxdv
qatjf
oelvz
aghbj
midht
ykznd
kmvtn
worzx
jrogi
vtkms
hvgsc
txcym
fzyew
rbukg
pfmwa
bhick
njeiu
zlaoe
lnwuo
xpsay
ksphj
wulnt
iwhtd
uydzn
gazfx
scvlh
qgnxb
cijdl
okfjv
ambpf
moxvp
yqtbz
ltqik
xvmou
jxiue
vzeao
hbagy
tdwmi
rhoyc
djkem
plgkw
bncqg
npywq
zruca
murjl
ywnpv
kyjvf
wafbp
icbhz
uexnj
sipzd
eklfn
qmhlx
codrh
oqzxr
asvdb
nvskm
zxoqw
lzkwg
xbgcq
jdcia
vfyok
tjqae
flmgo
rnimy
dpesi
prays
btwec
owtln
ayprx
malxh
ychdr
kedjb
wgzpl
ukrbf
gmnhp
sojnz
eqftj
qsbzt
cuxfd
pxumo
bzqsy
nbmyi
zdies
lfekc
xhaqm
vlscg
hnoiq
tpkoa
frguk
rtcau
dvyge
qyvnp
cartz
ocnzj
aejft
mgfld
yibrn
wmtdh
iopjr
uqlpb
gshvl
sudbv
ewzhf
rzwoq
dbsua
pdoak
bfkgu
nhgme
zjcso
xnuei
jpqks
vrmqc
htiwm
tvecw
fxaig
saxpr
ectvb
qepbl
cglhv
oihnf
akdtp
yovfj
kqrlt
wsnrd
iujxn
uwfdx
gybjh
tbyqs
fduwc
rfqcm
dhmiw
pjiog
bleuq
zpwgk
lrsmu
xtose
jvkyo
vxgey
hzcki
uczrt
gevxd
sgrdn
einjx
qkjph
cmfvr
aqxhl
mstnv
yuptf
kwlzp
wyhfz
iadlj
vdasu
hfwye
thseo
fjoky
rlkqi
dngws
bryim
ntuow
zvqug
lxmaq
xziga
jbemk
webtv
igxzf
uitfp
gkplz
smlrj
eohxt
cszjn
ouvpx
awrvh
mynbr
yajhb
kcfnl
xfcuw
jhyag
vjugq
hlqma
tnmsk
fpiyu
dtako
pvwqy
bxswi
nzocs
zbkic
ldgom
ygdvx
kizbh
wkvhr
imrnb
uontl
gqjzv
eublp
qwxrz
cytxj
oapdt
acljd
mehpn
zhewy
ljaci
xlwis
jnsoc
vpoum
hrkaw
fvcmq
rxysa
dzuyk
pbqeu
bdmke
nfiqo
aifxz
mkbdj
ymxjt
kotpd
wqpvn
islbx
gwdnr
syztb
eavzl
qcrfv
cenlf
ogjrp
bjgya
nlcek
znyku
lpuqe
xrqwo
jtmcy
hxeos
tzauc
fbwam
rdsgw
dfomg
phksq
ckhzb
omdfl
aozlv
mqvrf
ysrxp
kundz
iyfpt
uabvd
gcxbn
sethx
egpnh
qiltr
dliac
pnegm
bpamw
nrwsg
ztsyq
lvoea
jzgqu
vbcwe
hdyco
tfuiy
fhqoi
rjmus
emjbd
qofhn
cqbnx
osxth
autzr
mwpfb
kahrv
wcdxf
iezdp
ugvjz
girpj
sknvt
fnkce
rpgio
drcoy
ptyui
bvuas
nxqgc
lbisw
xdeyg
jfaeq
vhwka
hjsqk
tlowu
goldf
sqhjp
esdpz
quzvj
cwvbt
oyrhd
mcjtx
yefzh
kgbfr
wixlb
iktrl
umpxv

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: goldf
Cipher: tbyqs

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: goldf
Cipher: 2243134112

Extended Methods:
Method #1

Plaintext: goldf
method variations:
mtqilryvoqwdatvbifya

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
g o l d f 
2 4 1 4 1 
2 3 3 1 2 
They are then read out in rows:
2414123312
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: goldf
Cipher: rqfnf

Read more ...
Method #3

Plaintext: goldf
method variations:
rcsag csagr sagrc
agrcs grcsa

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: goldf
all 120 cipher variations:
goldf
golfd
godlf
godfl
gofdl
gofld
glodf
glofd
gldof
gldfo
glfdo
glfod
gdlof
gdlfo
gdolf
gdofl
gdfol
gdflo
gfldo
gflod
gfdlo
gfdol
gfodl
gfold
ogldf
oglfd
ogdlf
ogdfl
ogfdl
ogfld
olgdf
olgfd
oldgf
oldfg
olfdg
olfgd
odlgf
odlfg
odglf
odgfl
odfgl
odflg
ofldg
oflgd
ofdlg
ofdgl
ofgdl
ofgld
logdf
logfd
lodgf
lodfg
lofdg
lofgd
lgodf
lgofd
lgdof
lgdfo
lgfdo
lgfod
ldgof
ldgfo
ldogf
ldofg
ldfog
ldfgo
lfgdo
lfgod
lfdgo
lfdog
lfodg
lfogd
dolgf
dolfg
doglf
dogfl
dofgl
doflg
dlogf
dlofg
dlgof
dlgfo
dlfgo
dlfog
dglof
dglfo
dgolf
dgofl
dgfol
dgflo
dflgo
dflog
dfglo
dfgol
dfogl
dfolg
foldg
folgd
fodlg
fodgl
fogdl
fogld
flodg
flogd
fldog
fldgo
flgdo
flgod
fdlog
fdlgo
fdolg
fdogl
fdgol
fdglo
fgldo
fglod
fgdlo
fgdol
fgodl
fgold

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


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