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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: baasch
cipher variations:
cbbtdi dccuej eddvfk feewgl gffxhm
hggyin ihhzjo jiiakp kjjblq lkkcmr
mlldns nmmeot onnfpu poogqv qpphrw
rqqisx srrjty tsskuz uttlva vuumwb
wvvnxc xwwoyd yxxpze zyyqaf azzrbg

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: baasch
Cipher: yzzhxs

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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: baasch
Cipher: AAAAB AAAAA AAAAA BAAAB AAABA AABBB

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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: baasch
cipher variations:
cbbtdiebbdhwgbbnlkibbxpykbbhtmmbbrxaqbblfcsbbvjq
ubbfnewbbprsybbzvgabbjzudccuejfcceixhccomljccyqz
lcciunnccsybrccmgdtccwkrvccgofxccqstzccawhbcckav
eddvfkgddfjyiddpnmkddzramddjvooddtzcsddnheuddxls
wddhpgyddrtuaddbxicddlbwfeewglheegkzjeeqonleeasb
neekwppeeuadteeoifveeymtxeeiqhzeesuvbeecyjdeemcx
gffxhmiffhlakffrpomffbtcofflxqqffvbeuffpjgwffznu
yffjriafftvwcffdzkeffndyhggyinjggimblggsqpnggcud
pggmyrrggwcfvggqkhxggaovzggksjbgguwxdggealfggoez
ihhzjokhhjncmhhtrqohhdveqhhnzsshhxdgwhhrliyhhbpw
ahhltkchhvxyehhfbmghhpfajiiakpliikodniiusrpiiewf
riioattiiyehxiismjziicqxbiimuldiiwyzfiigcnhiiqgb
kjjblqmjjlpeojjvtsqjjfxgsjjpbuujjzfiyjjtnkajjdry
cjjnvmejjxzagjjhdoijjrhclkkcmrnkkmqfpkkwutrkkgyh
tkkqcvvkkagjzkkuolbkkeszdkkownfkkyabhkkiepjkksid
mlldnsollnrgqllxvusllhziullrdwwllbhkallvpmcllfta
ellpxogllzbcilljfqklltjenmmeotpmmoshrmmywvtmmiaj
vmmsexxmmcilbmmwqndmmgubfmmqyphmmacdjmmkgrlmmukf
onnfpuqnnptisnnzxwunnjbkwnntfyynndjmcnnxroennhvc
gnnrzqinnbdeknnlhsmnnvlgpoogqvrooqujtooayxvookcl
xoougzzooekndooyspfooiwdhoosarjoocefloomitnoowmh
qpphrwspprvkuppbzywppldmyppvhaappfloeppztqgppjxe
ipptbskppdfgmppnjuoppxnirqqisxtqqswlvqqcazxqqmen
zqqwibbqqgmpfqqaurhqqkyfjqquctlqqeghnqqokvpqqyoj
srrjtyurrtxmwrrdbayrrnfoarrxjccrrhnqgrrbvsirrlzg
krrvdumrrfhiorrplwqrrzpktsskuzvssuynxssecbzssogp
bssykddssiorhsscwtjssmahlsswevnssgijpssqmxrssaql
uttlvawttvzoyttfdcattphqcttzleettjpsittdxukttnbi
mttxfwotthjkqttrnysttbrmvuumwbxuuwapzuugedbuuqir
duuamffuukqtjuueyvluuocjnuuygxpuuiklruusoztuucsn
wvvnxcyvvxbqavvhfecvvrjsevvbnggvvlrukvvfzwmvvpdk
ovvzhyqvvjlmsvvtpauvvdtoxwwoydzwwycrbwwigfdwwskt
fwwcohhwwmsvlwwgaxnwwqelpwwaizrwwkmntwwuqbvwweup
yxxpzeaxxzdscxxjhgexxtlugxxdpiixxntwmxxhbyoxxrfm
qxxbjasxxlnouxxvrcwxxfvqzyyqafbyyaetdyykihfyyumv
hyyeqjjyyouxnyyiczpyysgnryyckbtyymopvyywsdxyygwr
azzrbgczzbfuezzljigzzvnwizzfrkkzzpvyozzjdaqzztho
szzdlcuzznpqwzzxteyzzhxsbaaschdaacgvfaamkjhaawox
jaagsllaaqwzpaakebraauiptaaemdvaaoqrxaayufzaaiyt

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: baasch
Cipher: onnfpu

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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: baasch
Cipher: 211111343132

Extended Methods:
Method #1

Plaintext: baasch
method variations:
gffxhnmllcnsrqqhsxwvvnxc

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b a a s c h 
2 1 1 3 3 3 
1 1 1 4 1 2 
They are then read out in rows:
211333111412
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: baasch
Cipher: blnaqf

Read more ...
Method #3

Plaintext: baasch
method variations:
aalolg alolga lolgaa
olgaal lgaalo gaalol

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: baasch

all 720 cipher variations:
baasch baashc baacsh baachs baahcs baahsc basach basahc bascah bascha bashca
bashac bacsah bacsha bacash bacahs bachas bachsa bahsca bahsac bahcsa bahcas
bahacs bahasc baasch baashc baacsh baachs baahcs baahsc basach basahc bascah
bascha bashca bashac bacsah bacsha bacash bacahs bachas bachsa bahsca bahsac
bahcsa bahcas bahacs bahasc bsaach bsaahc bsacah bsacha bsahca bsahac bsaach
bsaahc bsacah bsacha bsahca bsahac bscaah bscaha bscaah bscaha bschaa bschaa
bshaca bshaac bshcaa bshcaa bshaca bshaac bcasah bcasha bcaash bcaahs bcahas
bcahsa bcsaah bcsaha bcsaah bcsaha bcshaa bcshaa bcasah bcasha bcaash bcaahs
bcahas bcahsa bchsaa bchsaa bchasa bchaas bchaas bchasa bhasca bhasac bhacsa
bhacas bhaacs bhaasc bhsaca bhsaac bhscaa bhscaa bhsaca bhsaac bhcsaa bhcsaa
bhcasa bhcaas bhcaas bhcasa bhasca bhasac bhacsa bhacas bhaacs bhaasc abasch
abashc abacsh abachs abahcs abahsc absach absahc abscah abscha abshca abshac
abcsah abcsha abcash abcahs abchas abchsa abhsca abhsac abhcsa abhcas abhacs
abhasc aabsch aabshc aabcsh aabchs aabhcs aabhsc aasbch aasbhc aascbh aaschb
aashcb aashbc aacsbh aacshb aacbsh aacbhs aachbs aachsb aahscb aahsbc aahcsb
aahcbs aahbcs aahbsc asabch asabhc asacbh asachb asahcb asahbc asbach asbahc
asbcah asbcha asbhca asbhac ascbah ascbha ascabh ascahb aschab aschba ashbca
ashbac ashcba ashcab ashacb ashabc acasbh acashb acabsh acabhs acahbs acahsb
acsabh acsahb acsbah acsbha acshba acshab acbsah acbsha acbash acbahs acbhas
acbhsa achsba achsab achbsa achbas achabs achasb ahascb ahasbc ahacsb ahacbs
ahabcs ahabsc ahsacb ahsabc ahscab ahscba ahsbca ahsbac ahcsab ahcsba ahcasb
ahcabs ahcbas ahcbsa ahbsca ahbsac ahbcsa ahbcas ahbacs ahbasc aabsch aabshc
aabcsh aabchs aabhcs aabhsc aasbch aasbhc aascbh aaschb aashcb aashbc aacsbh
aacshb aacbsh aacbhs aachbs aachsb aahscb aahsbc aahcsb aahcbs aahbcs aahbsc
abasch abashc abacsh abachs abahcs abahsc absach absahc abscah abscha abshca
abshac abcsah abcsha abcash abcahs abchas abchsa abhsca abhsac abhcsa abhcas
abhacs abhasc asbach asbahc asbcah asbcha asbhca asbhac asabch asabhc asacbh
asachb asahcb asahbc ascabh ascahb ascbah ascbha aschba aschab ashacb ashabc
ashcab ashcba ashbca ashbac acbsah acbsha acbash acbahs acbhas acbhsa acsbah
acsbha acsabh acsahb acshab acshba acasbh acashb acabsh acabhs acahbs acahsb
achsab achsba achasb achabs achbas achbsa ahbsca ahbsac ahbcsa ahbcas ahbacs
ahbasc ahsbca ahsbac ahscba ahscab ahsacb ahsabc ahcsba ahcsab ahcbsa ahcbas
ahcabs ahcasb ahascb ahasbc ahacsb ahacbs ahabcs ahabsc saabch saabhc saacbh
saachb saahcb saahbc sabach sabahc sabcah sabcha sabhca sabhac sacbah sacbha
sacabh sacahb sachab sachba sahbca sahbac sahcba sahcab sahacb sahabc saabch
saabhc saacbh saachb saahcb saahbc sabach sabahc sabcah sabcha sabhca sabhac
sacbah sacbha sacabh sacahb sachab sachba sahbca sahbac sahcba sahcab sahacb
sahabc sbaach sbaahc sbacah sbacha sbahca sbahac sbaach sbaahc sbacah sbacha
sbahca sbahac sbcaah sbcaha sbcaah sbcaha sbchaa sbchaa sbhaca sbhaac sbhcaa
sbhcaa sbhaca sbhaac scabah scabha scaabh scaahb scahab scahba scbaah scbaha
scbaah scbaha scbhaa scbhaa scabah scabha scaabh scaahb scahab scahba schbaa
schbaa schaba schaab schaab schaba shabca shabac shacba shacab shaacb shaabc
shbaca shbaac shbcaa shbcaa shbaca shbaac shcbaa shcbaa shcaba shcaab shcaab
shcaba shabca shabac shacba shacab shaacb shaabc caasbh caashb caabsh caabhs
caahbs caahsb casabh casahb casbah casbha cashba cashab cabsah cabsha cabash
cabahs cabhas cabhsa cahsba cahsab cahbsa cahbas cahabs cahasb caasbh caashb
caabsh caabhs caahbs caahsb casabh casahb casbah casbha cashba cashab cabsah
cabsha cabash cabahs cabhas cabhsa cahsba cahsab cahbsa cahbas cahabs cahasb
csaabh csaahb csabah csabha csahba csahab csaabh csaahb csabah csabha csahba
csahab csbaah csbaha csbaah csbaha csbhaa csbhaa cshaba cshaab cshbaa cshbaa
cshaba cshaab cbasah cbasha cbaash cbaahs cbahas cbahsa cbsaah cbsaha cbsaah
cbsaha cbshaa cbshaa cbasah cbasha cbaash cbaahs cbahas cbahsa cbhsaa cbhsaa
cbhasa cbhaas cbhaas cbhasa chasba chasab chabsa chabas chaabs chaasb chsaba
chsaab chsbaa chsbaa chsaba chsaab chbsaa chbsaa chbasa chbaas chbaas chbasa
chasba chasab chabsa chabas chaabs chaasb haascb haasbc haacsb haacbs haabcs
haabsc hasacb hasabc hascab hascba hasbca hasbac hacsab hacsba hacasb hacabs
hacbas hacbsa habsca habsac habcsa habcas habacs habasc haascb haasbc haacsb
haacbs haabcs haabsc hasacb hasabc hascab hascba hasbca hasbac hacsab hacsba
hacasb hacabs hacbas hacbsa habsca habsac habcsa habcas habacs habasc hsaacb
hsaabc hsacab hsacba hsabca hsabac hsaacb hsaabc hsacab hsacba hsabca hsabac
hscaab hscaba hscaab hscaba hscbaa hscbaa hsbaca hsbaac hsbcaa hsbcaa hsbaca
hsbaac hcasab hcasba hcaasb hcaabs hcabas hcabsa hcsaab hcsaba hcsaab hcsaba
hcsbaa hcsbaa hcasab hcasba hcaasb hcaabs hcabas hcabsa hcbsaa hcbsaa hcbasa
hcbaas hcbaas hcbasa hbasca hbasac hbacsa hbacas hbaacs hbaasc hbsaca hbsaac
hbscaa hbscaa hbsaca hbsaac hbcsaa hbcsaa hbcasa hbcaas hbcaas hbcasa hbasca
hbasac hbacsa hbacas hbaacs hbaasc

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

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