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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: tetrao
cipher variations:
ufusbp vgvtcq whwudr xixves yjywft
zkzxgu alayhv bmbziw cncajx dodbky
epeclz fqfdma grgenb hshfoc itigpd
jujhqe kvkirf lwljsg mxmkth nynlui
ozomvj papnwk qbqoxl rcrpym sdsqzn

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.)
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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: tetrao
Cipher: gvgizl

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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: tetrao
Cipher: BAABA AABAA BAABA BAAAA AAAAA ABBAB

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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: tetrao
cipher variations:
ufusbpgngabrsvsibtedeqbvqlqybxctcgbzajawbdmrmebf
yzymbhkhkubjwpwcblixikbnvgvtcqhohbcstwtjcufefrcw
rmrzcydudhcabkbxcensnfcgzazncililvckxqxdcmjyjlco
whwudripicdtuxukdvgfgsdxsnsadzeveidbclcydfotogdh
abaodjmjmwdlyryednkzkmdpxixvesjqjdeuvyvlewhghtey
totbeafwfjecdmdzegpupheibcbpeknknxemzszfeolalneq
yjywftkrkefvwzwmfxihiufzupucfbgxgkfdeneafhqvqifj
cdcqfloloyfnatagfpmbmofrzkzxgulslfgwxaxngyjijvga
vqvdgchyhlgefofbgirwrjgkdedrgmpmpzgobubhgqncnpgs
alayhvmtmghxybyohzkjkwhbwrwehdizimhfgpgchjsxskhl
efeshnqnqahpcvcihrodoqhtbmbziwnunhiyzczpialklxic
xsxfiejajnighqhdiktytlimfgftiororbiqdwdjispepriu
cncajxovoijzadaqjbmlmyjdytygjfkbkojhiriejluzumjn
ghgujpspscjrexekjtqfqsjvdodbkypwpjkabebrkcnmnzke
zuzhkglclpkijsjfkmvavnkohihvkqtqtdksfyflkurgrtkw
epeclzqxqklbcfcsldonoalfavailhmdmqljktkglnwbwolp
ijiwlrurueltgzgmlvshsulxfqfdmaryrlmcdgdtmepopbmg
bwbjminenrmklulhmoxcxpmqjkjxmsvsvfmuhahnmwtitvmy
grgenbszsmndeheunfqpqcnhcxcknjofosnlmvminpydyqnr
klkyntwtwgnvibionxujuwnzhshfoctatnoefifvogrqrdoi
dydlokpgptomnwnjoqzezroslmlzouxuxhowjcjpoyvkvxoa
itigpdubuopfgjgwphsrsepjezemplqhqupnoxokprafaspt
mnmapvyvyipxkdkqpzwlwypbjujhqevcvpqghkhxqitstfqk
fafnqmrirvqopyplqsbgbtqunonbqwzwzjqylelrqaxmxzqc
kvkirfwdwqrhiliyrjutugrlgbgornsjswrpqzqmrtchcurv
opocrxaxakrzmfmsrbynyardlwljsgxexrsijmjzskvuvhsm
hchpsotktxsqrarnsudidvswpqpdsybyblsangntsczozbse
mxmkthyfystjknkatlwvwitnidiqtpuluytrsbsotvejewtx
qrqetzczcmtbohoutdapactfnynluizgztuklolbumxwxjuo
jejruqvmvzustctpuwfkfxuyrsrfuadadnucpipvuebqbdug
ozomvjahauvlmpmcvnyxykvpkfksvrwnwavtuduqvxglgyvz
stsgvbebeovdqjqwvfcrcevhpapnwkbibvwmnqndwozyzlwq
lgltwsxoxbwuvevrwyhmhzwatuthwcfcfpwerkrxwgdsdfwi
qbqoxlcjcwxnoroexpazamxrmhmuxtypycxvwfwsxziniaxb
uvuixdgdgqxfslsyxhetegxjrcrpymdkdxyopspfyqbabnys
ninvyuzqzdywxgxtyajojbycvwvjyehehrygtmtzyifufhyk
sdsqzneleyzpqtqgzrcbcoztojowzvaraezxyhyuzbkpkczd
wxwkzfifiszhunuazjgvgizltetraofmfzaqrurhasdcdpau
pkpxawbsbfayzizvaclqldaexyxlagjgjtaivovbakhwhjam

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: tetrao
Cipher: grgenb

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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: tetrao
Cipher: 445144241143

Extended Methods:
Method #1

Plaintext: tetrao
method variations:
ykywftdpdblyiuigqdozomvi

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
t e t r a o 
4 5 4 2 1 4 
4 1 4 4 1 3 
They are then read out in rows:
454214414413
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: tetrao
Cipher: yiqdtl

Read more ...
Method #3

Plaintext: tetrao
method variations:
yqidqs qidqsy idqsyq
dqsyqi qsyqid syqidq

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: tetrao

all 720 cipher variations:
tetrao tetroa tetaro tetaor tetoar tetora tertao tertoa terato teraot teroat
terota tearto tearot teatro teator teaotr teaort teorat teorta teoart teoatr
teotar teotra tterao tteroa ttearo tteaor tteoar tteora ttreao ttreoa ttraeo
ttraoe ttroae ttroea ttareo ttaroe ttaero ttaeor ttaoer ttaore ttorae ttorea
ttoare ttoaer ttoear ttoera trteao trteoa trtaeo trtaoe trtoae trtoea tretao
tretoa treato treaot treoat treota traeto traeot trateo tratoe traote traoet
troeat troeta troaet troate trotae trotea tatreo tatroe tatero tateor tatoer
tatore tarteo tartoe tareto tareot taroet tarote taerto taerot taetro taetor
taeotr taeort taoret taorte taoert taoetr taoter taotre totrae totrea totare
totaer totear totera tortae tortea torate toraet toreat toreta toarte toaret
toatre toater toaetr toaert toerat toerta toeart toeatr toetar toetra ettrao
ettroa ettaro ettaor ettoar ettora etrtao etrtoa etrato etraot etroat etrota
etarto etarot etatro etator etaotr etaort etorat etorta etoart etoatr etotar
etotra ettrao ettroa ettaro ettaor ettoar ettora etrtao etrtoa etrato etraot
etroat etrota etarto etarot etatro etator etaotr etaort etorat etorta etoart
etoatr etotar etotra erttao erttoa ertato ertaot ertoat ertota erttao erttoa
ertato ertaot ertoat ertota eratto eratot eratto eratot eraott eraott erotat
erotta eroatt eroatt erotat erotta eatrto eatrot eattro eattor eatotr eatort
eartto eartot eartto eartot earott earott eatrto eatrot eattro eattor eatotr
eatort eaortt eaortt eaotrt eaottr eaottr eaotrt eotrat eotrta eotart eotatr
eottar eottra eortat eortta eoratt eoratt eortat eortta eoartt eoartt eoatrt
eoattr eoattr eoatrt eotrat eotrta eotart eotatr eottar eottra tetrao tetroa
tetaro tetaor tetoar tetora tertao tertoa terato teraot teroat terota tearto
tearot teatro teator teaotr teaort teorat teorta teoart teoatr teotar teotra
tterao tteroa ttearo tteaor tteoar tteora ttreao ttreoa ttraeo ttraoe ttroae
ttroea ttareo ttaroe ttaero ttaeor ttaoer ttaore ttorae ttorea ttoare ttoaer
ttoear ttoera trteao trteoa trtaeo trtaoe trtoae trtoea tretao tretoa treato
treaot treoat treota traeto traeot trateo tratoe traote traoet troeat troeta
troaet troate trotae trotea tatreo tatroe tatero tateor tatoer tatore tarteo
tartoe tareto tareot taroet tarote taerto taerot taetro taetor taeotr taeort
taoret taorte taoert taoetr taoter taotre totrae totrea totare totaer totear
totera tortae tortea torate toraet toreat toreta toarte toaret toatre toater
toaetr toaert toerat toerta toeart toeatr toetar toetra rettao rettoa retato
retaot retoat retota rettao rettoa retato retaot retoat retota reatto reatot
reatto reatot reaott reaott reotat reotta reoatt reoatt reotat reotta rtetao
rtetoa rteato rteaot rteoat rteota rtteao rtteoa rttaeo rttaoe rttoae rttoea
rtateo rtatoe rtaeto rtaeot rtaoet rtaote rtotae rtotea rtoate rtoaet rtoeat
rtoeta rtteao rtteoa rttaeo rttaoe rttoae rttoea rtetao rtetoa rteato rteaot
rteoat rteota rtaeto rtaeot rtateo rtatoe rtaote rtaoet rtoeat rtoeta rtoaet
rtoate rtotae rtotea ratteo rattoe rateto rateot ratoet ratote ratteo rattoe
rateto rateot ratoet ratote raetto raetot raetto raetot raeott raeott raotet
raotte raoett raoett raotet raotte rottae rottea rotate rotaet roteat roteta
rottae rottea rotate rotaet roteat roteta roatte roatet roatte roatet roaett
roaett roetat roetta roeatt roeatt roetat roetta aetrto aetrot aettro aettor
aetotr aetort aertto aertot aertto aertot aerott aerott aetrto aetrot aettro
aettor aetotr aetort aeortt aeortt aeotrt aeottr aeottr aeotrt aterto aterot
atetro atetor ateotr ateort atreto atreot atrteo atrtoe atrote atroet attreo
attroe attero atteor attoer attore atorte atoret atotre atoter atoetr atoert
arteto arteot artteo arttoe artote artoet aretto aretot aretto aretot areott
areott arteto arteot artteo arttoe artote artoet aroett aroett arotet arotte
arotte arotet attreo attroe attero atteor attoer attore atrteo atrtoe atreto
atreot atroet atrote aterto aterot atetro atetor ateotr ateort atoret atorte
atoert atoetr atoter atotre aotrte aotret aottre aotter aotetr aotert aortte
aortet aortte aortet aorett aorett aotrte aotret aottre aotter aotetr aotert
aoertt aoertt aoetrt aoettr aoettr aoetrt oetrat oetrta oetart oetatr oettar
oettra oertat oertta oeratt oeratt oertat oertta oeartt oeartt oeatrt oeattr
oeattr oeatrt oetrat oetrta oetart oetatr oettar oettra oterat oterta oteart
oteatr otetar otetra otreat otreta otraet otrate otrtae otrtea otaret otarte
otaert otaetr otater otatre ottrae ottrea ottare ottaer ottear ottera orteat
orteta ortaet ortate orttae orttea oretat oretta oreatt oreatt oretat oretta
oraett oraett oratet oratte oratte oratet orteat orteta ortaet ortate orttae
orttea oatret oatrte oatert oatetr oatter oattre oartet oartte oarett oarett
oartet oartte oaertt oaertt oaetrt oaettr oaettr oaetrt oatret oatrte oatert
oatetr oatter oattre ottrae ottrea ottare ottaer ottear ottera otrtae otrtea
otrate otraet otreat otreta otarte otaret otatre otater otaetr otaert oterat
oterta oteart oteatr otetar otetra

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