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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: watcha
cipher variations:
xbudib ycvejc zdwfkd aexgle bfyhmf
cgzing dhajoh eibkpi fjclqj gkdmrk
hlensl imfotm jngpun kohqvo lpirwp
mqjsxq nrktyr osluzs ptmvat qunwbu
rvoxcv swpydw txqzex uyrafy vzsbgz

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: watcha
Cipher: dzgxsz

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: watcha
Cipher: BABAA AAAAA BAABA AAABA AABBB 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: watcha
cipher variations:
xbudibpbghwbhbslkbzbepybrbqtmbjbcxabtbafcblbmjqb
dbynebvbkrsbnbwvgbfbizubycvejcqchixcictmlcacfqzc
scrunckcdybcucbgdcmcnkrceczofcwclstcocxwhcgcjavc
zdwfkdrdijydjdunmdbdgradtdsvodldezcdvdchedndolsd
fdapgdxdmtudpdyxidhdkbwdaexglesejkzekevonecehsbe
uetwpemefadewedifeoepmtegebqheyenuveqezyjeielcxe
bfyhmftfklaflfwpofdfitcfvfuxqfnfgbefxfejgfpfqnuf
hfcrifzfovwfrfazkfjfmdyfcgzinguglmbgmgxqpgegjudg
wgvyrgoghcfgygfkhgqgrovgigdsjgagpwxgsgbalgkgnezg
dhajohvhmnchnhyrqhfhkvehxhwzshphidghzhglihrhspwh
jhetkhbhqxyhthcbmhlhofaheibkpiwinodioizsrigilwfi
yixatiqijehiaihmjisitqxikifuliciryziuidcnimipgbi
fjclqjxjopejpjatsjhjmxgjzjybujrjkfijbjinkjtjuryj
ljgvmjdjszajvjedojnjqhcjgkdmrkykpqfkqkbutkiknyhk
akzcvksklgjkckjolkukvszkmkhwnkektabkwkfepkokridk
hlenslzlqrglrlcvuljlozilbladwltlmhkldlkpmlvlwtal
nlixolflubclxlgfqlplsjelimfotmamrshmsmdwvmkmpajm
cmbexmumnilmemlqnmwmxubmomjypmgmvcdmymhgrmqmtkfm
jngpunbnstintnexwnlnqbkndncfynvnojmnfnmronxnyvcn
pnkzqnhnwdenznihsnrnulgnkohqvocotujouofyxomorclo
eodgzowopknogonspoyozwdoqolaroioxefoaojitosovmho
lpirwpdpuvkpvpgzypnpsdmpfpehapxpqlophpotqpzpaxep
rpmbspjpyfgpbpkjuptpwnipmqjsxqeqvwlqwqhazqoqtenq
gqfibqyqrmpqiqpurqaqbyfqsqnctqkqzghqcqlkvquqxojq
nrktyrfrwxmrxribarpruforhrgjcrzrsnqrjrqvsrbrczgr
trodurlrahirdrmlwrvrypkrosluzsgsxynsysjcbsqsvgps
ishkdsastorsksrwtscsdahsuspevsmsbijsesnmxswszqls
ptmvathtyzotztkdctrtwhqtjtiletbtupstltsxutdtebit
vtqfwtntcjktftonytxtarmtqunwbuiuzapuauledusuxiru
kujmfucuvqtumutyvueufcjuwurgxuoudklugupozuyubsnu
rvoxcvjvabqvbvmfevtvyjsvlvkngvdvwruvnvuzwvfvgdkv
xvshyvpvelmvhvqpavzvctovswpydwkwbcrwcwngfwuwzktw
mwlohwewxsvwowvaxwgwhelwywtizwqwfmnwiwrqbwawdupw
txqzexlxcdsxdxohgxvxaluxnxmpixfxytwxpxwbyxhxifmx
zxujaxrxgnoxjxsrcxbxevqxuyrafymydetyeypihywybmvy
oynqjygyzuxyqyxczyiyjgnyayvkbysyhopykytsdycyfwry
vzsbgznzefuzfzqjizxzcnwzpzorkzhzavyzrzydazjzkhoz
bzwlcztzipqzlzutezdzgxszwatchaoafgvagarkjayadoxa
qapslaiabwzasazebakalipacaxmdauajqramavufaeahyta

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: watcha
Cipher: jngpun

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: watcha
Cipher: 251144313211

Extended Methods:
Method #1

Plaintext: watcha
method variations:
bfyhnfgldnslmqisxqrvoxcv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
w a t c h a 
2 1 4 3 3 1 
5 1 4 1 2 1 
They are then read out in rows:
214331514121
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: watcha
Cipher: bocedb

Read more ...
Method #3

Plaintext: watcha
method variations:
eqolbf qolbfe olbfeq
lbfeqo bfeqol feqolb

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: watcha

all 720 cipher variations:
watcha watcah wathca wathac watahc watach wactha wactah wachta wachat wacaht
wacath wahcta wahcat wahtca wahtac wahatc wahact waacht waacth waahct waahtc
waathc waatch wtacha wtacah wtahca wtahac wtaahc wtaach wtcaha wtcaah wtchaa
wtchaa wtcaha wtcaah wthcaa wthcaa wthaca wthaac wthaac wthaca wtacha wtacah
wtahca wtahac wtaahc wtaach wctaha wctaah wcthaa wcthaa wctaha wctaah wcatha
wcatah wcahta wcahat wcaaht wcaath wchata wchaat wchtaa wchtaa wchata wchaat
wcaaht wcaath wcahat wcahta wcatha wcatah whtcaa whtcaa whtaca whtaac whtaac
whtaca whctaa whctaa whcata whcaat whcaat whcata whacta whacat whatca whatac
whaatc whaact whacat whacta whaact whaatc whatac whatca watcha watcah wathca
wathac watahc watach wactha wactah wachta wachat wacaht wacath wahcta wahcat
wahtca wahtac wahatc wahact waacht waacth waahct waahtc waathc waatch awtcha
awtcah awthca awthac awtahc awtach awctha awctah awchta awchat awcaht awcath
awhcta awhcat awhtca awhtac awhatc awhact awacht awacth awahct awahtc awathc
awatch atwcha atwcah atwhca atwhac atwahc atwach atcwha atcwah atchwa atchaw
atcahw atcawh athcwa athcaw athwca athwac athawc athacw atachw atacwh atahcw
atahwc atawhc atawch actwha actwah acthwa acthaw actahw actawh acwtha acwtah
acwhta acwhat acwaht acwath achwta achwat achtwa achtaw achatw achawt acawht
acawth acahwt acahtw acathw acatwh ahtcwa ahtcaw ahtwca ahtwac ahtawc ahtacw
ahctwa ahctaw ahcwta ahcwat ahcawt ahcatw ahwcta ahwcat ahwtca ahwtac ahwatc
ahwact ahacwt ahactw ahawct ahawtc ahatwc ahatcw aatchw aatcwh aathcw aathwc
aatwhc aatwch aacthw aactwh aachtw aachwt aacwht aacwth aahctw aahcwt aahtcw
aahtwc aahwtc aahwct aawcht aawcth aawhct aawhtc aawthc aawtch tawcha tawcah
tawhca tawhac tawahc tawach tacwha tacwah tachwa tachaw tacahw tacawh tahcwa
tahcaw tahwca tahwac tahawc tahacw taachw taacwh taahcw taahwc taawhc taawch
twacha twacah twahca twahac twaahc twaach twcaha twcaah twchaa twchaa twcaha
twcaah twhcaa twhcaa twhaca twhaac twhaac twhaca twacha twacah twahca twahac
twaahc twaach tcwaha tcwaah tcwhaa tcwhaa tcwaha tcwaah tcawha tcawah tcahwa
tcahaw tcaahw tcaawh tchawa tchaaw tchwaa tchwaa tchawa tchaaw tcaahw tcaawh
tcahaw tcahwa tcawha tcawah thwcaa thwcaa thwaca thwaac thwaac thwaca thcwaa
thcwaa thcawa thcaaw thcaaw thcawa thacwa thacaw thawca thawac thaawc thaacw
thacaw thacwa thaacw thaawc thawac thawca tawcha tawcah tawhca tawhac tawahc
tawach tacwha tacwah tachwa tachaw tacahw tacawh tahcwa tahcaw tahwca tahwac
tahawc tahacw taachw taacwh taahcw taahwc taawhc taawch catwha catwah cathwa
cathaw catahw catawh cawtha cawtah cawhta cawhat cawaht cawath cahwta cahwat
cahtwa cahtaw cahatw cahawt caawht caawth caahwt caahtw caathw caatwh ctawha
ctawah ctahwa ctahaw ctaahw ctaawh ctwaha ctwaah ctwhaa ctwhaa ctwaha ctwaah
cthwaa cthwaa cthawa cthaaw cthaaw cthawa ctawha ctawah ctahwa ctahaw ctaahw
ctaawh cwtaha cwtaah cwthaa cwthaa cwtaha cwtaah cwatha cwatah cwahta cwahat
cwaaht cwaath cwhata cwhaat cwhtaa cwhtaa cwhata cwhaat cwaaht cwaath cwahat
cwahta cwatha cwatah chtwaa chtwaa chtawa chtaaw chtaaw chtawa chwtaa chwtaa
chwata chwaat chwaat chwata chawta chawat chatwa chataw chaatw chaawt chawat
chawta chaawt chaatw chataw chatwa catwha catwah cathwa cathaw catahw catawh
cawtha cawtah cawhta cawhat cawaht cawath cahwta cahwat cahtwa cahtaw cahatw
cahawt caawht caawth caahwt caahtw caathw caatwh hatcwa hatcaw hatwca hatwac
hatawc hatacw hactwa hactaw hacwta hacwat hacawt hacatw hawcta hawcat hawtca
hawtac hawatc hawact haacwt haactw haawct haawtc haatwc haatcw htacwa htacaw
htawca htawac htaawc htaacw htcawa htcaaw htcwaa htcwaa htcawa htcaaw htwcaa
htwcaa htwaca htwaac htwaac htwaca htacwa htacaw htawca htawac htaawc htaacw
hctawa hctaaw hctwaa hctwaa hctawa hctaaw hcatwa hcataw hcawta hcawat hcaawt
hcaatw hcwata hcwaat hcwtaa hcwtaa hcwata hcwaat hcaawt hcaatw hcawat hcawta
hcatwa hcataw hwtcaa hwtcaa hwtaca hwtaac hwtaac hwtaca hwctaa hwctaa hwcata
hwcaat hwcaat hwcata hwacta hwacat hwatca hwatac hwaatc hwaact hwacat hwacta
hwaact hwaatc hwatac hwatca hatcwa hatcaw hatwca hatwac hatawc hatacw hactwa
hactaw hacwta hacwat hacawt hacatw hawcta hawcat hawtca hawtac hawatc hawact
haacwt haactw haawct haawtc haatwc haatcw aatchw aatcwh aathcw aathwc aatwhc
aatwch aacthw aactwh aachtw aachwt aacwht aacwth aahctw aahcwt aahtcw aahtwc
aahwtc aahwct aawcht aawcth aawhct aawhtc aawthc aawtch atachw atacwh atahcw
atahwc atawhc atawch atcahw atcawh atchaw atchwa atcwha atcwah athcaw athcwa
athacw athawc athwac athwca atwcha atwcah atwhca atwhac atwahc atwach actahw
actawh acthaw acthwa actwha actwah acathw acatwh acahtw acahwt acawht acawth
achatw achawt achtaw achtwa achwta achwat acwaht acwath acwhat acwhta acwtha
acwtah ahtcaw ahtcwa ahtacw ahtawc ahtwac ahtwca ahctaw ahctwa ahcatw ahcawt
ahcwat ahcwta ahactw ahacwt ahatcw ahatwc ahawtc ahawct ahwcat ahwcta ahwact
ahwatc ahwtac ahwtca awtcha awtcah awthca awthac awtahc awtach awctha awctah
awchta awchat awcaht awcath awhcta awhcat awhtca awhtac awhatc awhact awacht
awacth awahct awahtc awathc awatch

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

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