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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: unguas
cipher variations:
vohvbt wpiwcu xqjxdv yrkyew zslzfx
atmagy bunbhz cvocia dwpdjb exqekc
fyrfld gzsgme hathnf ibuiog jcvjph
kdwkqi lexlrj mfymsk ngzntl ohaoum
pibpvn qjcqwo rkdrxp slesyq tmftzr

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: unguas
Cipher: fmtfzh

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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: unguas
Cipher: BAABB ABBAA AABBA BAABB AAAAA 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: unguas
cipher variations:
vohvbtjotjbdxofxbnlorlbxzodzbhnopnbrponpbldozdbv
rolrbffoxfbptojtbzhovhbjwpiwcukpukceypgycompsmcy
apeaciopqocsqpoqcmepaecwspmscggpygcqupkucaipwick
xqjxdvlqvldfzqhzdpnqtndzbqfbdjpqrpdtrqprdnfqbfdx
tqntdhhqzhdrvqlvdbjqxjdlyrkyewmrwmegariaeqoruoea
crgcekqrsqeusrqseogrcgeyuroueiiraieswrmweckrykem
zslzfxnsxnfhbsjbfrpsvpfbdshdflrstrfvtsrtfphsdhfz
vspvfjjsbjftxsnxfdlszlfnatmagyotyogictkcgsqtwqgc
etiegmstusgwutsugqiteigawtqwgkktckguytoygemtamgo
bunbhzpuzphjduldhtruxrhdfujfhntuvthxvutvhrjufjhb
xurxhlludlhvzupzhfnubnhpcvociaqvaqikevmeiusvysie
gvkgiouvwuiywvuwiskvgkicyvsyimmvemiwavqaigovcoiq
dwpdjbrwbrjlfwnfjvtwztjfhwlhjpvwxvjzxwvxjtlwhljd
zwtzjnnwfnjxbwrbjhpwdpjrexqekcsxcskmgxogkwuxaukg
ixmikqwxywkayxwykumximkeaxuakooxgokycxsckiqxeqks
fyrfldtydtlnhyphlxvybvlhjynjlrxyzxlbzyxzlvnyjnlf
byvblppyhplzdytdljryfrltgzsgmeuzeumoizqimywzcwmi
kzokmsyzaymcazyamwozkomgczwcmqqziqmaezuemkszgsmu
hathnfvafvnpjarjnzxadxnjlaplntzabzndbazbnxpalpnh
daxdnrrajrnbfavfnltahtnvibuiogwbgwoqkbskoaybeyok
mbqmouabcaoecbacoyqbmqoiebyeossbksocgbwgomubiuow
jcvjphxchxprlctlpbzcfzplncrnpvbcdbpfdcbdpzrcnrpj
fczfpttcltpdhcxhpnvcjvpxkdwkqiydiyqsmdumqcadgaqm
odsoqwcdecqgedceqasdosqkgdagquudmuqeidyiqowdkwqy
lexlrjzejzrtnevnrdbehbrnpetprxdefdrhfedfrbteptrl
hebhrvvenvrfjezjrpxelxrzmfymskafkasuofwosecficso
qfuqsyefgesigfegscufqusmifciswwfowsgkfaksqyfmysa
ngzntlbglbtvpgxptfdgjdtprgvrtzfghftjhgfhtdvgrvtn
jgdjtxxgpxthlgbltrzgnztbohaoumchmcuwqhyqugehkeuq
shwsuaghigukihgiuewhswuokhekuyyhqyuimhcmusahoauc
pibpvndindvxrizrvhfilfvrtixtvbhijhvljihjvfxitxvp
liflvzzirzvjnidnvtbipbvdqjcqwoejoewysjaswigjmgws
ujyuwcijkiwmkjikwgyjuywqmjgmwaajsawkojeowucjqcwe
rkdrxpfkpfxztkbtxjhknhxtvkzvxdjkljxnlkjlxhzkvzxr
nkhnxbbktbxlpkfpxvdkrdxfslesyqglqgyaulcuykiloiyu
wlawyeklmkyomlkmyialwaysolioycclucymqlgqywelseyg
tmftzrhmrhzbvmdvzljmpjzvxmbxzflmnlzpnmlnzjbmxbzt
pmjpzddmvdznrmhrzxfmtfzhunguasinsiacwnewamknqkaw
yncyagmnomaqonmoakcnycauqnkqaeenweaosnisaygnugai

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: unguas
Cipher: hathnf

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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: unguas
Cipher: 543322541134

Extended Methods:
Method #1

Plaintext: unguas
method variations:
zsmzfxexrelckcwkqhphbpvn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
u n g u a s 
5 3 2 5 1 3 
4 3 2 4 1 4 
They are then read out in rows:
532513432414
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: unguas
Cipher: pwlorq

Read more ...
Method #3

Plaintext: unguas
method variations:
ohwdly hwdlyo wdlyoh
dlyohw lyohwd yohwdl

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: unguas

all 720 cipher variations:
unguas ungusa ungaus ungasu ungsau ungsua unugas unugsa unuags unuasg unusag
unusga unaugs unausg unagus unagsu unasgu unasug unsuag unsuga unsaug unsagu
unsgau unsgua ugnuas ugnusa ugnaus ugnasu ugnsau ugnsua ugunas ugunsa uguans
uguasn ugusan ugusna ugauns ugausn uganus ugansu ugasnu ugasun ugsuan ugsuna
ugsaun ugsanu ugsnau ugsnua uugnas uugnsa uugans uugasn uugsan uugsna uungas
uungsa uunags uunasg uunsag uunsga uuangs uuansg uuagns uuagsn uuasgn uuasng
uusnag uusnga uusang uusagn uusgan uusgna uaguns uagusn uagnus uagnsu uagsnu
uagsun uaugns uaugsn uaungs uaunsg uausng uausgn uanugs uanusg uangus uangsu
uansgu uansug uasung uasugn uasnug uasngu uasgnu uasgun usguan usguna usgaun
usganu usgnau usgnua usugan usugna usuagn usuang usunag usunga usaugn usaung
usagun usagnu usangu usanug usnuag usnuga usnaug usnagu usngau usngua nuguas
nugusa nugaus nugasu nugsau nugsua nuugas nuugsa nuuags nuuasg nuusag nuusga
nuaugs nuausg nuagus nuagsu nuasgu nuasug nusuag nusuga nusaug nusagu nusgau
nusgua nguuas nguusa nguaus nguasu ngusau ngusua nguuas nguusa nguaus nguasu
ngusau ngusua ngauus ngausu ngauus ngausu ngasuu ngasuu ngsuau ngsuua ngsauu
ngsauu ngsuau ngsuua nuguas nugusa nugaus nugasu nugsau nugsua nuugas nuugsa
nuuags nuuasg nuusag nuusga nuaugs nuausg nuagus nuagsu nuasgu nuasug nusuag
nusuga nusaug nusagu nusgau nusgua naguus nagusu naguus nagusu nagsuu nagsuu
naugus naugsu nauugs nauusg nausug nausgu nauugs nauusg naugus naugsu nausgu
nausug nasuug nasugu nasuug nasugu nasguu nasguu nsguau nsguua nsgauu nsgauu
nsguau nsguua nsugau nsugua nsuagu nsuaug nsuuag nsuuga nsaugu nsauug nsaguu
nsaguu nsaugu nsauug nsuuag nsuuga nsuaug nsuagu nsugau nsugua gnuuas gnuusa
gnuaus gnuasu gnusau gnusua gnuuas gnuusa gnuaus gnuasu gnusau gnusua gnauus
gnausu gnauus gnausu gnasuu gnasuu gnsuau gnsuua gnsauu gnsauu gnsuau gnsuua
gunuas gunusa gunaus gunasu gunsau gunsua guunas guunsa guuans guuasn guusan
guusna guauns guausn guanus guansu guasnu guasun gusuan gusuna gusaun gusanu
gusnau gusnua guunas guunsa guuans guuasn guusan guusna gunuas gunusa gunaus
gunasu gunsau gunsua guanus guansu guauns guausn guasun guasnu gusnau gusnua
gusanu gusaun gusuan gusuna gauuns gauusn gaunus gaunsu gausnu gausun gauuns
gauusn gaunus gaunsu gausnu gausun ganuus ganusu ganuus ganusu gansuu gansuu
gasunu gasuun gasnuu gasnuu gasunu gasuun gsuuan gsuuna gsuaun gsuanu gsunau
gsunua gsuuan gsuuna gsuaun gsuanu gsunau gsunua gsauun gsaunu gsauun gsaunu
gsanuu gsanuu gsnuau gsnuua gsnauu gsnauu gsnuau gsnuua unguas ungusa ungaus
ungasu ungsau ungsua unugas unugsa unuags unuasg unusag unusga unaugs unausg
unagus unagsu unasgu unasug unsuag unsuga unsaug unsagu unsgau unsgua ugnuas
ugnusa ugnaus ugnasu ugnsau ugnsua ugunas ugunsa uguans uguasn ugusan ugusna
ugauns ugausn uganus ugansu ugasnu ugasun ugsuan ugsuna ugsaun ugsanu ugsnau
ugsnua uugnas uugnsa uugans uugasn uugsan uugsna uungas uungsa uunags uunasg
uunsag uunsga uuangs uuansg uuagns uuagsn uuasgn uuasng uusnag uusnga uusang
uusagn uusgan uusgna uaguns uagusn uagnus uagnsu uagsnu uagsun uaugns uaugsn
uaungs uaunsg uausng uausgn uanugs uanusg uangus uangsu uansgu uansug uasung
uasugn uasnug uasngu uasgnu uasgun usguan usguna usgaun usganu usgnau usgnua
usugan usugna usuagn usuang usunag usunga usaugn usaung usagun usagnu usangu
usanug usnuag usnuga usnaug usnagu usngau usngua anguus angusu anguus angusu
angsuu angsuu anugus anugsu anuugs anuusg anusug anusgu anuugs anuusg anugus
anugsu anusgu anusug ansuug ansugu ansuug ansugu ansguu ansguu agnuus agnusu
agnuus agnusu agnsuu agnsuu agunus agunsu aguuns aguusn agusun agusnu aguuns
aguusn agunus agunsu agusnu agusun agsuun agsunu agsuun agsunu agsnuu agsnuu
augnus augnsu auguns augusn augsun augsnu aungus aungsu aunugs aunusg aunsug
aunsgu auungs auunsg auugns auugsn auusgn auusng ausnug ausngu ausung ausugn
ausgun ausgnu auguns augusn augnus augnsu augsnu augsun auugns auugsn auungs
auunsg auusng auusgn aunugs aunusg aungus aungsu aunsgu aunsug ausung ausugn
ausnug ausngu ausgnu ausgun asguun asgunu asguun asgunu asgnuu asgnuu asugun
asugnu asuugn asuung asunug asungu asuugn asuung asugun asugnu asungu asunug
asnuug asnugu asnuug asnugu asnguu asnguu snguau snguua sngauu sngauu snguau
snguua snugau snugua snuagu snuaug snuuag snuuga snaugu snauug snaguu snaguu
snaugu snauug snuuag snuuga snuaug snuagu snugau snugua sgnuau sgnuua sgnauu
sgnauu sgnuau sgnuua sgunau sgunua sguanu sguaun sguuan sguuna sgaunu sgauun
sganuu sganuu sgaunu sgauun sguuan sguuna sguaun sguanu sgunau sgunua sugnau
sugnua suganu sugaun suguan suguna sungau sungua sunagu sunaug sunuag sunuga
suangu suanug suagnu suagun suaugn suaung suunag suunga suuang suuagn suugan
suugna sagunu saguun sagnuu sagnuu sagunu saguun saugnu saugun saungu saunug
sauung sauugn sanugu sanuug sanguu sanguu sanugu sanuug sauung sauugn saunug
saungu saugnu saugun suguan suguna sugaun suganu sugnau sugnua suugan suugna
suuagn suuang suunag suunga suaugn suaung suagun suagnu suangu suanug sunuag
sunuga sunaug sunagu sungau sungua

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

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