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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: samada
cipher variations:
tbnbeb ucocfc vdpdgd weqehe xfrfif
ygsgjg zhthkh aiuili bjvjmj ckwknk
dlxlol emympm fnznqn goaoro hpbpsp
iqcqtq jrdrur ksesvs ltftwt muguxu
nvhvyv owiwzw pxjxax qykyby rzlzcz

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: samada
Cipher: hznzwz

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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: samada
Cipher: BAAAB AAAAA ABABB AAAAA AAABB AAAAA

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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: samada
cipher variations:
tbnbebdblbkbnbjbqbxbhbwbhbfbcbrbdbiblbzbubvbxbab
fbvbgbpbtbmbzbrbsbjbpbybucocfcecmclcockcrcycicxc
icgcdcscecjcmcacvcwcycbcgcwchcqcucncacsctckcqczc
vdpdgdfdndmdpdldsdzdjdydjdhdedtdfdkdndbdwdxdzdcd
hdxdidrdvdodbdtdudldrdadweqehegeoeneqemeteaekeze
keiefeuegeleoecexeyeaedeieyejesewepeceuevemesebe
xfrfifhfpfofrfnfufbflfaflfjfgfvfhfmfpfdfyfzfbfef
jfzfkftfxfqfdfvfwfnftfcfygsgjgigqgpgsgogvgcgmgbg
mgkghgwgigngqgegzgagcgfgkgaglgugygrgegwgxgogugdg
zhthkhjhrhqhthphwhdhnhchnhlhihxhjhohrhfhahbhdhgh
lhbhmhvhzhshfhxhyhphvhehaiuilikisiriuiqixieioidi
oimijiyikipisigibicieihimiciniwiaitigiyiziqiwifi
bjvjmjljtjsjvjrjyjfjpjejpjnjkjzjljqjtjhjcjdjfjij
njdjojxjbjujhjzjajrjxjgjckwknkmkuktkwkskzkgkqkfk
qkoklkakmkrkukikdkekgkjkokekpkykckvkikakbkskykhk
dlxlolnlvlulxltlalhlrlglrlplmlblnlslvljlelflhlkl
plflqlzldlwljlblcltlzlilemympmomwmvmymumbmimsmhm
smqmnmcmomtmwmkmfmgmimlmqmgmrmamemxmkmcmdmumamjm
fnznqnpnxnwnznvncnjntnintnrnondnpnunxnlngnhnjnmn
rnhnsnbnfnynlndnenvnbnkngoaoroqoyoxoaowodokouojo
uosopoeoqovoyomohoiokonosoiotocogozomoeofowocolo
hpbpsprpzpypbpxpeplpvpkpvptpqpfprpwpzpnpipjplpop
tpjpupdphpapnpfpgpxpdpmpiqcqtqsqaqzqcqyqfqmqwqlq
wquqrqgqsqxqaqoqjqkqmqpquqkqvqeqiqbqoqgqhqyqeqnq
jrdrurtrbrardrzrgrnrxrmrxrvrsrhrtryrbrprkrlrnrqr
vrlrwrfrjrcrprhrirzrfrorksesvsuscsbsesashsosysns
yswstsisuszscsqslsmsosrswsmsxsgsksdsqsisjsasgsps
ltftwtvtdtctftbtitptztotztxtutjtvtatdtrtmtntptst
xtntythtltetrtjtktbthtqtmuguxuwueudugucujuquaupu
auyuvukuwubueusunuouqutuyuouzuiumufusukulucuiuru
nvhvyvxvfvevhvdvkvrvbvqvbvzvwvlvxvcvfvtvovpvrvuv
zvpvavjvnvgvtvlvmvdvjvsvowiwzwywgwfwiwewlwswcwrw
cwawxwmwywdwgwuwpwqwswvwawqwbwkwowhwuwmwnwewkwtw
pxjxaxzxhxgxjxfxmxtxdxsxdxbxyxnxzxexhxvxqxrxtxwx
bxrxcxlxpxixvxnxoxfxlxuxqykybyayiyhykygynyuyeyty
eycyzyoyayfyiywyrysyuyxycysydymyqyjywyoypygymyvy
rzlzczbzjzizlzhzozvzfzuzfzdzazpzbzgzjzxzsztzvzyz
dztzeznzrzkzxzpzqzhznzwzsamadacakajamaiapawagava
gaeabaqacahakayatauawazaeauafaoasalayaqaraiaoaxa

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: samada
Cipher: fnznqn

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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: samada
Cipher: 341123114111

Extended Methods:
Method #1

Plaintext: samada
method variations:
xfrfifclwlolhqbqtqnvgvyv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s a m a d a 
3 1 2 1 4 1 
4 1 3 1 1 1 
They are then read out in rows:
312141413111
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: samada
Cipher: cbddca

Read more ...
Method #3

Plaintext: samada
method variations:
dfcqal fcqald cqaldf
qaldfc aldfcq ldfcqa

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: samada

all 720 cipher variations:
samada samaad samdaa samdaa samada samaad saamda saamad saadma saadam saaadm
saaamd sadama sadaam sadmaa sadmaa sadama sadaam saaadm saaamd saadam saadma
saamda saamad smaada smaaad smadaa smadaa smaada smaaad smaada smaaad smadaa
smadaa smaada smaaad smdaaa smdaaa smdaaa smdaaa smdaaa smdaaa smaada smaaad
smadaa smadaa smaada smaaad samada samaad samdaa samdaa samada samaad saamda
saamad saadma saadam saaadm saaamd sadama sadaam sadmaa sadmaa sadama sadaam
saaadm saaamd saadam saadma saamda saamad sdmaaa sdmaaa sdmaaa sdmaaa sdmaaa
sdmaaa sdamaa sdamaa sdaama sdaaam sdaaam sdaama sdaama sdaaam sdamaa sdamaa
sdaama sdaaam sdaaam sdaama sdaaam sdaama sdamaa sdamaa samada samaad samdaa
samdaa samada samaad saamda saamad saadma saadam saaadm saaamd sadama sadaam
sadmaa sadmaa sadama sadaam saaadm saaamd saadam saadma saamda saamad asmada
asmaad asmdaa asmdaa asmada asmaad asamda asamad asadma asadam asaadm asaamd
asdama asdaam asdmaa asdmaa asdama asdaam asaadm asaamd asadam asadma asamda
asamad amsada amsaad amsdaa amsdaa amsada amsaad amasda amasad amadsa amadas
amaads amaasd amdasa amdaas amdsaa amdsaa amdasa amdaas amaads amaasd amadas
amadsa amasda amasad aamsda aamsad aamdsa aamdas aamads aamasd aasmda aasmad
aasdma aasdam aasadm aasamd aadsma aadsam aadmsa aadmas aadams aadasm aaasdm
aaasmd aaadsm aaadms aaamds aaamsd admasa admaas admsaa admsaa admasa admaas
adamsa adamas adasma adasam adaasm adaams adsama adsaam adsmaa adsmaa adsama
adsaam adaasm adaams adasam adasma adamsa adamas aamads aamasd aamdas aamdsa
aamsda aamsad aaamds aaamsd aaadms aaadsm aaasdm aaasmd aadams aadasm aadmas
aadmsa aadsma aadsam aasadm aasamd aasdam aasdma aasmda aasmad masada masaad
masdaa masdaa masada masaad maasda maasad maadsa maadas maaads maaasd madasa
madaas madsaa madsaa madasa madaas maaads maaasd maadas maadsa maasda maasad
msaada msaaad msadaa msadaa msaada msaaad msaada msaaad msadaa msadaa msaada
msaaad msdaaa msdaaa msdaaa msdaaa msdaaa msdaaa msaada msaaad msadaa msadaa
msaada msaaad masada masaad masdaa masdaa masada masaad maasda maasad maadsa
maadas maaads maaasd madasa madaas madsaa madsaa madasa madaas maaads maaasd
maadas maadsa maasda maasad mdsaaa mdsaaa mdsaaa mdsaaa mdsaaa mdsaaa mdasaa
mdasaa mdaasa mdaaas mdaaas mdaasa mdaasa mdaaas mdasaa mdasaa mdaasa mdaaas
mdaaas mdaasa mdaaas mdaasa mdasaa mdasaa masada masaad masdaa masdaa masada
masaad maasda maasad maadsa maadas maaads maaasd madasa madaas madsaa madsaa
madasa madaas maaads maaasd maadas maadsa maasda maasad aamsda aamsad aamdsa
aamdas aamads aamasd aasmda aasmad aasdma aasdam aasadm aasamd aadsma aadsam
aadmsa aadmas aadams aadasm aaasdm aaasmd aaadsm aaadms aaamds aaamsd amasda
amasad amadsa amadas amaads amaasd amsada amsaad amsdaa amsdaa amsada amsaad
amdsaa amdsaa amdasa amdaas amdaas amdasa amasda amasad amadsa amadas amaads
amaasd asmada asmaad asmdaa asmdaa asmada asmaad asamda asamad asadma asadam
asaadm asaamd asdama asdaam asdmaa asdmaa asdama asdaam asaadm asaamd asadam
asadma asamda asamad admsaa admsaa admasa admaas admaas admasa adsmaa adsmaa
adsama adsaam adsaam adsama adasma adasam adamsa adamas adaams adaasm adasam
adasma adaasm adaams adamas adamsa aamsda aamsad aamdsa aamdas aamads aamasd
aasmda aasmad aasdma aasdam aasadm aasamd aadsma aadsam aadmsa aadmas aadams
aadasm aaasdm aaasmd aaadsm aaadms aaamds aaamsd damasa damaas damsaa damsaa
damasa damaas daamsa daamas daasma daasam daaasm daaams dasama dasaam dasmaa
dasmaa dasama dasaam daaasm daaams daasam daasma daamsa daamas dmaasa dmaaas
dmasaa dmasaa dmaasa dmaaas dmaasa dmaaas dmasaa dmasaa dmaasa dmaaas dmsaaa
dmsaaa dmsaaa dmsaaa dmsaaa dmsaaa dmaasa dmaaas dmasaa dmasaa dmaasa dmaaas
damasa damaas damsaa damsaa damasa damaas daamsa daamas daasma daasam daaasm
daaams dasama dasaam dasmaa dasmaa dasama dasaam daaasm daaams daasam daasma
daamsa daamas dsmaaa dsmaaa dsmaaa dsmaaa dsmaaa dsmaaa dsamaa dsamaa dsaama
dsaaam dsaaam dsaama dsaama dsaaam dsamaa dsamaa dsaama dsaaam dsaaam dsaama
dsaaam dsaama dsamaa dsamaa damasa damaas damsaa damsaa damasa damaas daamsa
daamas daasma daasam daaasm daaams dasama dasaam dasmaa dasmaa dasama dasaam
daaasm daaams daasam daasma daamsa daamas aamads aamasd aamdas aamdsa aamsda
aamsad aaamds aaamsd aaadms aaadsm aaasdm aaasmd aadams aadasm aadmas aadmsa
aadsma aadsam aasadm aasamd aasdam aasdma aasmda aasmad amaads amaasd amadas
amadsa amasda amasad amaads amaasd amadas amadsa amasda amasad amdaas amdasa
amdaas amdasa amdsaa amdsaa amsada amsaad amsdaa amsdaa amsada amsaad aamads
aamasd aamdas aamdsa aamsda aamsad aaamds aaamsd aaadms aaadsm aaasdm aaasmd
aadams aadasm aadmas aadmsa aadsma aadsam aasadm aasamd aasdam aasdma aasmda
aasmad admaas admasa admaas admasa admsaa admsaa adamas adamsa adaams adaasm
adasam adasma adaams adaasm adamas adamsa adasma adasam adsaam adsama adsaam
adsama adsmaa adsmaa asmada asmaad asmdaa asmdaa asmada asmaad asamda asamad
asadma asadam asaadm asaamd asdama asdaam asdmaa asdmaa asdama asdaam asaadm
asaamd asadam asadma asamda asamad

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

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