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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: bachar
cipher variations:
cbdibs dcejct edfkdu feglev gfhmfw
hgingx ihjohy jikpiz kjlqja lkmrkb
mlnslc nmotmd onpune poqvof qprwpg
rqsxqh srtyri tsuzsj utvatk vuwbul
wvxcvm xwydwn yxzexo zyafyp azbgzq

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: bachar
Cipher: yzxszi

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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: bachar
Cipher: AAAAB AAAAA AAABA AABBB AAAAA BAAAA

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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: bachar
cipher variations:
cbdibsebhwbagblkbiibpybqkbtmbymbxabgqbfcbwsbjqbe
ubnebmwbrsbuybvgbcabzubkdcejctfcixcbhcmlcjjcqzcr
lcunczncybchrcgdcxtckrcfvcofcnxcstcvzcwhcdbcavcl
edfkdugdjydcidnmdkkdradsmdvodaodzcdisdhedyudlsdg
wdpgdoydtudwadxidecdbwdmfeglevhekzedjeonellesbet
newpebpeadejteifezvemtehxeqhepzeuvexbeyjefdecxen
gfhmfwiflafekfpofmmftcfuofxqfcqfbefkufjgfawfnufi
yfrifqafvwfycfzkfgefdyfohgingxjgmbgflgqpgnngudgv
pgyrgdrgcfglvgkhgbxgovgjzgsjgrbgwxgzdgalghfgezgp
ihjohykhnchgmhrqhoohvehwqhzsheshdghmwhlihcyhpwhk
ahtkhschxyhaehbmhighfahqjikpizliodihnisrippiwfix
riatiftiehinximjidziqxilbiulitdiyzibficnijhigbir
kjlqjamjpejiojtsjqqjxgjysjbujgujfijoyjnkjeajryjm
cjvmjuejzajcgjdojkijhcjslkmrkbnkqfkjpkutkrrkyhkz
tkcvkhvkgjkpzkolkfbkszkndkwnkvfkabkdhkepkljkidkt
mlnslcolrglkqlvulsslzilauldwliwlhklqalpmlgcltalo
elxolwglbcleilfqlmkljelunmotmdpmshmlrmwvmttmajmb
vmexmjxmilmrbmqnmhdmubmpfmypmxhmcdmfjmgrmnlmkfmv
onpuneqntinmsnxwnuunbkncwnfynkynjmnscnronienvcnq
gnzqnyindengknhsnomnlgnwpoqvofroujontoyxovvoclod
xogzolzoknotdospojfowdorhoarozjoefohloitopnomhox
qprwpgspvkpoupzypwwpdmpeyphapmaplopueptqpkgpxeps
ipbspakpfgpimpjupqopnipyrqsxqhtqwlqpvqazqxxqenqf
zqibqnbqmpqvfqurqlhqyfqtjqctqblqghqjnqkvqrpqojqz
srtyriurxmrqwrbaryyrforgarjcrocrnqrwgrvsrmirzgru
krdurcmrhirkorlwrsqrpkratsuzsjvsynsrxscbszzsgpsh
bskdspdsorsxhswtsnjsahsvlsevsdnsijslpsmxstrsqlsb
utvatkwtzotsytdctaathqtictletqetpstyitxutoktbitw
mtfwteotjktmqtnytustrmtcvuwbulxuaputzuedubbuiruj
dumfurfuqtuzjuyvuplucjuxnugxufpuklunruozuvtusnud
wvxcvmyvbqvuavfevccvjsvkevngvsgvruvakvzwvqmvdkvy
ovhyvgqvlmvosvpavwuvtovexwydwnzwcrwvbwgfwddwktwl
fwohwthwsvwblwaxwrnwelwzpwizwhrwmnwptwqbwxvwupwf
yxzexoaxdsxwcxhgxeexluxmgxpixuixtwxcmxbyxsoxfmxa
qxjaxisxnoxquxrcxywxvqxgzyafypbyetyxdyihyffymvyn
hyqjyvjyuxydnyczytpygnybrykbyjtyopyrvysdyzxywryh
azbgzqczfuzyezjizggznwzoizrkzwkzvyzeozdazuqzhozc
szlczkuzpqzswztezayzxszibachardagvazfakjahhaoxap
jaslaxlawzafpaebavraipadtamdalvaqratxaufabzaytaj

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: bachar
Cipher: onpune

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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: bachar
Cipher: 211131321124

Extended Methods:
Method #1

Plaintext: bachar
method variations:
gfhnfwmlnslbrqsxqgwvxcvm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b a c h a r 
2 1 3 3 1 2 
1 1 1 2 1 4 
They are then read out in rows:
213312111214
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: bachar
Cipher: bnfafq

Read more ...
Method #3

Plaintext: bachar
method variations:
allbfi llbfia lbfial
bfiall fiallb iallbf

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: bachar

all 720 cipher variations:
bachar bachra bacahr bacarh bacrah bacrha bahcar bahcra bahacr baharc bahrac
bahrca baahcr baahrc baachr baacrh baarch baarhc barhac barhca barahc barach
barcah barcha bcahar bcahra bcaahr bcaarh bcarah bcarha bchaar bchara bchaar
bchara bchraa bchraa bcahar bcahra bcaahr bcaarh bcarah bcarha bcrhaa bcrhaa
bcraha bcraah bcraah bcraha bhcaar bhcara bhcaar bhcara bhcraa bhcraa bhacar
bhacra bhaacr bhaarc bharac bharca bhaacr bhaarc bhacar bhacra bharca bharac
bhraac bhraca bhraac bhraca bhrcaa bhrcaa bachar bachra bacahr bacarh bacrah
bacrha bahcar bahcra bahacr baharc bahrac bahrca baahcr baahrc baachr baacrh
baarch baarhc barhac barhca barahc barach barcah barcha brchaa brchaa brcaha
brcaah brcaah brcaha brhcaa brhcaa brhaca brhaac brhaac brhaca brahca brahac
bracha bracah braach braahc brahac brahca braahc braach bracah bracha abchar
abchra abcahr abcarh abcrah abcrha abhcar abhcra abhacr abharc abhrac abhrca
abahcr abahrc abachr abacrh abarch abarhc abrhac abrhca abrahc abrach abrcah
abrcha acbhar acbhra acbahr acbarh acbrah acbrha achbar achbra achabr acharb
achrab achrba acahbr acahrb acabhr acabrh acarbh acarhb acrhab acrhba acrahb
acrabh acrbah acrbha ahcbar ahcbra ahcabr ahcarb ahcrab ahcrba ahbcar ahbcra
ahbacr ahbarc ahbrac ahbrca ahabcr ahabrc ahacbr ahacrb aharcb aharbc ahrbac
ahrbca ahrabc ahracb ahrcab ahrcba aachbr aachrb aacbhr aacbrh aacrbh aacrhb
aahcbr aahcrb aahbcr aahbrc aahrbc aahrcb aabhcr aabhrc aabchr aabcrh aabrch
aabrhc aarhbc aarhcb aarbhc aarbch aarcbh aarchb archab archba arcahb arcabh
arcbah arcbha arhcab arhcba arhacb arhabc arhbac arhbca arahcb arahbc arachb
aracbh arabch arabhc arbhac arbhca arbahc arbach arbcah arbcha cabhar cabhra
cabahr cabarh cabrah cabrha cahbar cahbra cahabr caharb cahrab cahrba caahbr
caahrb caabhr caabrh caarbh caarhb carhab carhba carahb carabh carbah carbha
cbahar cbahra cbaahr cbaarh cbarah cbarha cbhaar cbhara cbhaar cbhara cbhraa
cbhraa cbahar cbahra cbaahr cbaarh cbarah cbarha cbrhaa cbrhaa cbraha cbraah
cbraah cbraha chbaar chbara chbaar chbara chbraa chbraa chabar chabra chaabr
chaarb charab charba chaabr chaarb chabar chabra charba charab chraab chraba
chraab chraba chrbaa chrbaa cabhar cabhra cabahr cabarh cabrah cabrha cahbar
cahbra cahabr caharb cahrab cahrba caahbr caahrb caabhr caabrh caarbh caarhb
carhab carhba carahb carabh carbah carbha crbhaa crbhaa crbaha crbaah crbaah
crbaha crhbaa crhbaa crhaba crhaab crhaab crhaba crahba crahab crabha crabah
craabh craahb crahab crahba craahb craabh crabah crabha hacbar hacbra hacabr
hacarb hacrab hacrba habcar habcra habacr habarc habrac habrca haabcr haabrc
haacbr haacrb haarcb haarbc harbac harbca harabc haracb harcab harcba hcabar
hcabra hcaabr hcaarb hcarab hcarba hcbaar hcbara hcbaar hcbara hcbraa hcbraa
hcabar hcabra hcaabr hcaarb hcarab hcarba hcrbaa hcrbaa hcraba hcraab hcraab
hcraba hbcaar hbcara hbcaar hbcara hbcraa hbcraa hbacar hbacra hbaacr hbaarc
hbarac hbarca hbaacr hbaarc hbacar hbacra hbarca hbarac hbraac hbraca hbraac
hbraca hbrcaa hbrcaa hacbar hacbra hacabr hacarb hacrab hacrba habcar habcra
habacr habarc habrac habrca haabcr haabrc haacbr haacrb haarcb haarbc harbac
harbca harabc haracb harcab harcba hrcbaa hrcbaa hrcaba hrcaab hrcaab hrcaba
hrbcaa hrbcaa hrbaca hrbaac hrbaac hrbaca hrabca hrabac hracba hracab hraacb
hraabc hrabac hrabca hraabc hraacb hracab hracba aachbr aachrb aacbhr aacbrh
aacrbh aacrhb aahcbr aahcrb aahbcr aahbrc aahrbc aahrcb aabhcr aabhrc aabchr
aabcrh aabrch aabrhc aarhbc aarhcb aarbhc aarbch aarcbh aarchb acahbr acahrb
acabhr acabrh acarbh acarhb achabr acharb achbar achbra achrba achrab acbhar
acbhra acbahr acbarh acbrah acbrha acrhba acrhab acrbha acrbah acrabh acrahb
ahcabr ahcarb ahcbar ahcbra ahcrba ahcrab ahacbr ahacrb ahabcr ahabrc aharbc
aharcb ahbacr ahbarc ahbcar ahbcra ahbrca ahbrac ahrabc ahracb ahrbac ahrbca
ahrcba ahrcab abchar abchra abcahr abcarh abcrah abcrha abhcar abhcra abhacr
abharc abhrac abhrca abahcr abahrc abachr abacrh abarch abarhc abrhac abrhca
abrahc abrach abrcah abrcha archba archab arcbha arcbah arcabh arcahb arhcba
arhcab arhbca arhbac arhabc arhacb arbhca arbhac arbcha arbcah arbach arbahc
arahbc arahcb arabhc arabch aracbh arachb rachab rachba racahb racabh racbah
racbha rahcab rahcba rahacb rahabc rahbac rahbca raahcb raahbc raachb raacbh
raabch raabhc rabhac rabhca rabahc rabach rabcah rabcha rcahab rcahba rcaahb
rcaabh rcabah rcabha rchaab rchaba rchaab rchaba rchbaa rchbaa rcahab rcahba
rcaahb rcaabh rcabah rcabha rcbhaa rcbhaa rcbaha rcbaah rcbaah rcbaha rhcaab
rhcaba rhcaab rhcaba rhcbaa rhcbaa rhacab rhacba rhaacb rhaabc rhabac rhabca
rhaacb rhaabc rhacab rhacba rhabca rhabac rhbaac rhbaca rhbaac rhbaca rhbcaa
rhbcaa rachab rachba racahb racabh racbah racbha rahcab rahcba rahacb rahabc
rahbac rahbca raahcb raahbc raachb raacbh raabch raabhc rabhac rabhca rabahc
rabach rabcah rabcha rbchaa rbchaa rbcaha rbcaah rbcaah rbcaha rbhcaa rbhcaa
rbhaca rbhaac rbhaac rbhaca rbahca rbahac rbacha rbacah rbaach rbaahc rbahac
rbahca rbaahc rbaach rbacah rbacha

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

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