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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: attars
cipher variations:
buubst cvvctu dwwduv exxevw fyyfwx
gzzgxy haahyz ibbiza jccjab kddkbc
leelcd mffmde nggnef ohhofg piipgh
qjjqhi rkkrij sllsjk tmmtkl unnulm
voovmn wppwno xqqxop yrrypq zsszqr

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: attars
Cipher: zggzih

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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: attars
Cipher: AAAAA BAABA BAABA AAAAA BAAAA 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: attars
cipher variations:
buubstbggbadbssbinbeebqxbqqbyhbccbgrbaabwlbmmbev
byybmfbkkbupbwwbczbiibkjcvvctuchhcbecttcjocffcry
crrczicddchscbbcxmcnncfwczzcngcllcvqcxxcdacjjclk
dwwduvdiidcfduudkpdggdszdssdajdeeditdccdyndoodgx
daadohdmmdwrdyydebdkkdmlexxevwejjedgevvelqehheta
ettebkeffejueddezoeppehyebbepiennexsezzefcellenm
fyyfwxfkkfehfwwfmrfiifubfuufclfggfkvfeefapfqqfiz
fccfqjfoofytfaafgdfmmfongzzgxygllgfigxxgnsgjjgvc
gvvgdmghhglwgffgbqgrrgjagddgrkgppgzugbbghegnngpo
haahyzhmmhgjhyyhothkkhwdhwwhenhiihmxhgghcrhsshkb
heehslhqqhavhcchifhoohqpibbizainnihkizzipuillixe
ixxifoijjinyihhidsittilciffitmirribwiddijgippirq
jccjabjoojiljaajqvjmmjyfjyyjgpjkkjozjiijetjuujmd
jggjunjssjcxjeejkhjqqjsrkddkbckppkjmkbbkrwknnkzg
kzzkhqkllkpakjjkfukvvknekhhkvokttkdykffklikrrkts
leelcdlqqlknlcclsxloolahlaalirlmmlqblkklgvlwwlof
liilwpluulezlgglmjlsslutmffmdemrrmlomddmtymppmbi
mbbmjsmnnmrcmllmhwmxxmpgmjjmxqmvvmfamhhmnkmttmvu
nggnefnssnmpneenuznqqncjnccnktnoonsdnmmnixnyynqh
nkknyrnwwngbniinolnuunwvohhofgottonqoffovaorrodk
oddoluoppoteonnojyozzoriollozsoxxohcojjopmovvoxw
piipghpuuporpggpwbpsspelpeepmvpqqpufpoopkzpaapsj
pmmpatpyypidpkkpqnpwwpyxqjjqhiqvvqpsqhhqxcqttqfm
qffqnwqrrqvgqppqlaqbbqtkqnnqbuqzzqjeqllqroqxxqzy
rkkrijrwwrqtriirydruurgnrggroxrssrwhrqqrmbrccrul
roorcvraarkfrmmrspryyrazsllsjksxxsrusjjszesvvsho
shhspysttsxisrrsncsddsvmsppsdwsbbslgsnnstqszzsba
tmmtkltyytsvtkktaftwwtiptiitqztuutyjtsstodteetwn
tqqtextcctmhtooturtaatcbunnulmuzzutwullubguxxujq
ujjurauvvuzkuttupeuffuxourrufyudduniuppuvsubbudc
voovmnvaavuxvmmvchvyyvkrvkkvsbvwwvalvuuvqfvggvyp
vssvgzveevojvqqvwtvccvedwppwnowbbwvywnnwdiwzzwls
wllwtcwxxwbmwvvwrgwhhwzqwttwhawffwpkwrrwxuwddwfe
xqqxopxccxwzxooxejxaaxmtxmmxudxyyxcnxwwxshxiixar
xuuxibxggxqlxssxyvxeexgfyrrypqyddyxayppyfkybbynu
ynnyveyzzydoyxxytiyjjybsyvvyjcyhhyrmyttyzwyffyhg
zsszqrzeezybzqqzglzcczovzoozwfzaazepzyyzujzkkzct
zwwzkdziizsnzuuzaxzggzihattarsaffazcarrahmaddapw
appaxgabbafqazzavkalladuaxxaleajjatoavvabyahhaji

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: attars
Cipher: nggnef

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: attars
Cipher: 114444112434

Extended Methods:
Method #1

Plaintext: attars
method variations:
fyyfwxlddlbcqiiqghvoovmn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a t t a r s 
1 4 4 1 2 3 
1 4 4 1 4 4 
They are then read out in rows:
144123144144
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: attars
Cipher: qdmqdt

Read more ...
Method #3

Plaintext: attars
method variations:
qtdfod tdfodq dfodqt
fodqtd odqtdf dqtdfo

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: attars

all 720 cipher variations:
attars attasr attras attrsa attsra attsar atatrs atatsr atarts atarst atasrt
atastr atrats atrast atrtas atrtsa atrsta atrsat atsart atsatr atsrat atsrta
atstra atstar attars attasr attras attrsa attsra attsar atatrs atatsr atarts
atarst atasrt atastr atrats atrast atrtas atrtsa atrsta atrsat atsart atsatr
atsrat atsrta atstra atstar aattrs aattsr aatrts aatrst aatsrt aatstr aattrs
aattsr aatrts aatrst aatsrt aatstr aartts aartst aartts aartst aarstt aarstt
aastrt aasttr aasrtt aasrtt aastrt aasttr artats artast arttas arttsa artsta
artsat aratts aratst aratts aratst arastt arastt artats artast arttas arttsa
artsta artsat arsatt arsatt arstat arstta arstta arstat astart astatr astrat
astrta asttra asttar asatrt asattr asartt asartt asatrt asattr asratt asratt
asrtat asrtta asrtta asrtat astart astatr astrat astrta asttra asttar tatars
tatasr tatras tatrsa tatsra tatsar taatrs taatsr taarts taarst taasrt taastr
tarats tarast tartas tartsa tarsta tarsat tasart tasatr tasrat tasrta tastra
tastar ttaars ttaasr ttaras ttarsa ttasra ttasar ttaars ttaasr ttaras ttarsa
ttasra ttasar ttraas ttrasa ttraas ttrasa ttrsaa ttrsaa ttsara ttsaar ttsraa
ttsraa ttsara ttsaar tatars tatasr tatras tatrsa tatsra tatsar taatrs taatsr
taarts taarst taasrt taastr tarats tarast tartas tartsa tarsta tarsat tasart
tasatr tasrat tasrta tastra tastar trtaas trtasa trtaas trtasa trtsaa trtsaa
tratas tratsa traats traast trasat trasta traats traast tratas tratsa trasta
trasat trsaat trsata trsaat trsata trstaa trstaa tstara tstaar tstraa tstraa
tstara tstaar tsatra tsatar tsarta tsarat tsaart tsaatr tsrata tsraat tsrtaa
tsrtaa tsrata tsraat tsaart tsaatr tsarat tsarta tsatra tsatar ttaars ttaasr
ttaras ttarsa ttasra ttasar ttaars ttaasr ttaras ttarsa ttasra ttasar ttraas
ttrasa ttraas ttrasa ttrsaa ttrsaa ttsara ttsaar ttsraa ttsraa ttsara ttsaar
tatars tatasr tatras tatrsa tatsra tatsar taatrs taatsr taarts taarst taasrt
taastr tarats tarast tartas tartsa tarsta tarsat tasart tasatr tasrat tasrta
tastra tastar taatrs taatsr taarts taarst taasrt taastr tatars tatasr tatras
tatrsa tatsra tatsar tartas tartsa tarats tarast tarsat tarsta tastra tastar
tasrta tasrat tasart tasatr traats traast tratas tratsa trasta trasat traats
traast tratas tratsa trasta trasat trtaas trtasa trtaas trtasa trtsaa trtsaa
trsata trsaat trstaa trstaa trsata trsaat tsaart tsaatr tsarat tsarta tsatra
tsatar tsaart tsaatr tsarat tsarta tsatra tsatar tsraat tsrata tsraat tsrata
tsrtaa tsrtaa tstara tstaar tstraa tstraa tstara tstaar attars attasr attras
attrsa attsra attsar atatrs atatsr atarts atarst atasrt atastr atrats atrast
atrtas atrtsa atrsta atrsat atsart atsatr atsrat atsrta atstra atstar attars
attasr attras attrsa attsra attsar atatrs atatsr atarts atarst atasrt atastr
atrats atrast atrtas atrtsa atrsta atrsat atsart atsatr atsrat atsrta atstra
atstar aattrs aattsr aatrts aatrst aatsrt aatstr aattrs aattsr aatrts aatrst
aatsrt aatstr aartts aartst aartts aartst aarstt aarstt aastrt aasttr aasrtt
aasrtt aastrt aasttr artats artast arttas arttsa artsta artsat aratts aratst
aratts aratst arastt arastt artats artast arttas arttsa artsta artsat arsatt
arsatt arstat arstta arstta arstat astart astatr astrat astrta asttra asttar
asatrt asattr asartt asartt asatrt asattr asratt asratt asrtat asrtta asrtta
asrtat astart astatr astrat astrta asttra asttar rttaas rttasa rttaas rttasa
rttsaa rttsaa rtatas rtatsa rtaats rtaast rtasat rtasta rtaats rtaast rtatas
rtatsa rtasta rtasat rtsaat rtsata rtsaat rtsata rtstaa rtstaa rttaas rttasa
rttaas rttasa rttsaa rttsaa rtatas rtatsa rtaats rtaast rtasat rtasta rtaats
rtaast rtatas rtatsa rtasta rtasat rtsaat rtsata rtsaat rtsata rtstaa rtstaa
rattas rattsa ratats ratast ratsat ratsta rattas rattsa ratats ratast ratsat
ratsta raatts raatst raatts raatst raastt raastt rastat rastta rasatt rasatt
rastat rastta ratats ratast rattas rattsa ratsta ratsat raatts raatst raatts
raatst raastt raastt ratats ratast rattas rattsa ratsta ratsat rasatt rasatt
rastat rastta rastta rastat rstaat rstata rstaat rstata rsttaa rsttaa rsatat
rsatta rsaatt rsaatt rsatat rsatta rsaatt rsaatt rsatat rsatta rsatta rsatat
rstaat rstata rstaat rstata rsttaa rsttaa sttara sttaar sttraa sttraa sttara
sttaar statra statar starta starat staart staatr strata straat strtaa strtaa
strata straat staart staatr starat starta statra statar sttara sttaar sttraa
sttraa sttara sttaar statra statar starta starat staart staatr strata straat
strtaa strtaa strata straat staart staatr starat starta statra statar sattra
sattar satrta satrat satart satatr sattra sattar satrta satrat satart satatr
sartta sartat sartta sartat saratt saratt saatrt saattr saartt saartt saatrt
saattr srtata srtaat srttaa srttaa srtata srtaat sratta sratat sratta sratat
sraatt sraatt srtata srtaat srttaa srttaa srtata srtaat sraatt sraatt sratat
sratta sratta sratat satart satatr satrat satrta sattra sattar saatrt saattr
saartt saartt saatrt saattr saratt saratt sartat sartta sartta sartat satart
satatr satrat satrta sattra sattar

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

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