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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: affirm
cipher variations:
bggjsn chhkto diilup ejjmvq fkknwr
glloxs hmmpyt innqzu joorav kppsbw
lqqtcx mrrudy nssvez ottwfa puuxgb
qvvyhc rwwzid sxxaje tyybkf uzzclg
vaadmh wbbeni xccfoj yddgpk zeehql

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: affirm
Cipher: zuurin

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: affirm
Cipher: AAAAA AABAB AABAB ABAAA BAAAA ABABB

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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: affirm
cipher variations:
bggjsnbqqzalbaapijbkkfqhbuuvyfbeelgdbyyrwzbiihex
bssxmvbccnutbmmdcrbwwtkpchhktocrrabmcbbqjkcllgri
cvvwzgcffmheczzsxacjjifycttynwcddovucnnedscxxulq
diilupdssbcndccrkldmmhsjdwwxahdggnifdaatybdkkjgz
duuzoxdeepwvdoofetdyyvmrejjmvqettcdoeddslmennitk
exxybiehhojgebbuzcellkhaevvapyeffqxweppgfuezzwns
fkknwrfuudepfeetmnfoojulfyyzcjfiipkhfccvadfmmlib
fwwbqzfggryxfqqhgvfaaxotglloxsgvvefqgffunogppkvm
gzzadkgjjqligddwbegnnmjcgxxcraghhszygrrihwgbbypu
hmmpythwwfgrhggvophqqlwnhaabelhkkrmjheexcfhoonkd
hyydsbhiitazhssjixhcczqvinnqzuixxghsihhwpqirrmxo
ibbcfmillsnkiffydgippoleizzetcijjubaittkjyiddarw
jooravjyyhitjiixqrjssnypjccdgnjmmtoljggzehjqqpmf
jaafudjkkvcbjuulkzjeebsxkppsbwkzzijukjjyrskttozq
kddehoknnupmkhhafikrrqngkbbgvekllwdckvvmlakffcty
lqqtcxlaajkvlkkzstluuparleefiploovqnliibgjlssroh
lcchwflmmxedlwwnmblggduzmrrudymbbklwmllatumvvqbs
mffgjqmppwromjjchkmttspimddixgmnnyfemxxoncmhheva
nssvezncclmxnmmbuvnwwrctngghkrnqqxspnkkdilnuutqj
neejyhnoozgfnyypodniifwbottwfaoddmnyonncvwoxxsdu
ohhilsorrytqollejmovvurkoffkzioppahgozzqpeojjgxc
puuxgbpeenozpoodwxpyytevpiijmtpsszurpmmfknpwwvsl
pgglajpqqbihpaarqfpkkhydqvvyhcqffopaqppexyqzzufw
qjjknuqttavsqnngloqxxwtmqhhmbkqrrcjiqbbsrgqllize
rwwzidrggpqbrqqfyzraavgxrkklovruubwtroohmpryyxun
riinclrssdkjrcctshrmmjafsxxajeshhqrcsrrgzasbbwhy
sllmpwsvvcxusppinqszzyvosjjodmsttelksddutisnnkbg
tyybkftiirsdtsshabtccxiztmmnqxtwwdyvtqqjortaazwp
tkkpentuufmlteevujtoolchuzzclgujjsteuttibcuddyja
unnoryuxxezwurrkpsubbaxqullqfouvvgnmuffwvkuppmdi
vaadmhvkktufvuujcdveezkbvoopszvyyfaxvsslqtvccbyr
vmmrgpvwwhonvggxwlvqqnejwbbeniwlluvgwvvkdewffalc
wppqtawzzgbywttmruwddczswnnshqwxxipowhhyxmwrrofk
xccfojxmmvwhxwwlefxggbmdxqqrubxaahczxuunsvxeedat
xootirxyyjqpxiizynxsspglyddgpkynnwxiyxxmfgyhhcne
yrrsvcybbidayvvotwyffebuyppujsyzzkrqyjjazoyttqhm
zeehqlzooxyjzyynghziidofzsstwdzccjebzwwpuxzggfcv
zqqvktzaalsrzkkbapzuurinaffirmappyzkazzohiajjepg
attuxeaddkfcaxxqvyahhgdwarrwluabbmtsallcbqavvsjo

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: affirm
Cipher: nssvez

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: affirm
Cipher: 111212422423

Extended Methods:
Method #1

Plaintext: affirm
method variations:
fllowrlqqtbwqvvygbvaadmg

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a f f i r m 
1 1 1 4 2 2 
1 2 2 2 4 3 
They are then read out in rows:
111422122243
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: affirm
Cipher: aqgfgo

Read more ...
Method #3

Plaintext: affirm
method variations:
abrgic brgica rgicab
gicabr icabrg cabrgi

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: affirm

all 720 cipher variations:
affirm affimr affrim affrmi affmri affmir afifrm afifmr afirfm afirmf afimrf
afimfr afrifm afrimf afrfim afrfmi afrmfi afrmif afmirf afmifr afmrif afmrfi
afmfri afmfir affirm affimr affrim affrmi affmri affmir afifrm afifmr afirfm
afirmf afimrf afimfr afrifm afrimf afrfim afrfmi afrmfi afrmif afmirf afmifr
afmrif afmrfi afmfri afmfir aiffrm aiffmr aifrfm aifrmf aifmrf aifmfr aiffrm
aiffmr aifrfm aifrmf aifmrf aifmfr airffm airfmf airffm airfmf airmff airmff
aimfrf aimffr aimrff aimrff aimfrf aimffr arfifm arfimf arffim arffmi arfmfi
arfmif ariffm arifmf ariffm arifmf arimff arimff arfifm arfimf arffim arffmi
arfmfi arfmif armiff armiff armfif armffi armffi armfif amfirf amfifr amfrif
amfrfi amffri amffir amifrf amiffr amirff amirff amifrf amiffr amriff amriff
amrfif amrffi amrffi amrfif amfirf amfifr amfrif amfrfi amffri amffir fafirm
fafimr fafrim fafrmi fafmri fafmir faifrm faifmr fairfm fairmf faimrf faimfr
farifm farimf farfim farfmi farmfi farmif famirf famifr famrif famrfi famfri
famfir ffairm ffaimr ffarim ffarmi ffamri ffamir ffiarm ffiamr ffiram ffirma
ffimra ffimar ffriam ffrima ffraim fframi ffrmai ffrmia ffmira ffmiar ffmria
ffmrai ffmari ffmair fifarm fifamr fifram fifrma fifmra fifmar fiafrm fiafmr
fiarfm fiarmf fiamrf fiamfr firafm firamf firfam firfma firmfa firmaf fimarf
fimafr fimraf fimrfa fimfra fimfar frfiam frfima frfaim frfami frfmai frfmia
frifam frifma friafm friamf frimaf frimfa fraifm fraimf frafim frafmi framfi
framif frmiaf frmifa frmaif frmafi frmfai frmfia fmfira fmfiar fmfria fmfrai
fmfari fmfair fmifra fmifar fmirfa fmiraf fmiarf fmiafr fmrifa fmriaf fmrfia
fmrfai fmrafi fmraif fmairf fmaifr fmarif fmarfi fmafri fmafir ffairm ffaimr
ffarim ffarmi ffamri ffamir ffiarm ffiamr ffiram ffirma ffimra ffimar ffriam
ffrima ffraim fframi ffrmai ffrmia ffmira ffmiar ffmria ffmrai ffmari ffmair
fafirm fafimr fafrim fafrmi fafmri fafmir faifrm faifmr fairfm fairmf faimrf
faimfr farifm farimf farfim farfmi farmfi farmif famirf famifr famrif famrfi
famfri famfir fiafrm fiafmr fiarfm fiarmf fiamrf fiamfr fifarm fifamr fifram
fifrma fifmra fifmar firfam firfma firafm firamf firmaf firmfa fimfra fimfar
fimrfa fimraf fimarf fimafr fraifm fraimf frafim frafmi framfi framif friafm
friamf frifam frifma frimfa frimaf frfiam frfima frfaim frfami frfmai frfmia
frmifa frmiaf frmfia frmfai frmafi frmaif fmairf fmaifr fmarif fmarfi fmafri
fmafir fmiarf fmiafr fmiraf fmirfa fmifra fmifar fmriaf fmrifa fmraif fmrafi
fmrfai fmrfia fmfira fmfiar fmfria fmfrai fmfari fmfair iffarm iffamr iffram
iffrma iffmra iffmar ifafrm ifafmr ifarfm ifarmf ifamrf ifamfr ifrafm iframf
ifrfam ifrfma ifrmfa ifrmaf ifmarf ifmafr ifmraf ifmrfa ifmfra ifmfar iffarm
iffamr iffram iffrma iffmra iffmar ifafrm ifafmr ifarfm ifarmf ifamrf ifamfr
ifrafm iframf ifrfam ifrfma ifrmfa ifrmaf ifmarf ifmafr ifmraf ifmrfa ifmfra
ifmfar iaffrm iaffmr iafrfm iafrmf iafmrf iafmfr iaffrm iaffmr iafrfm iafrmf
iafmrf iafmfr iarffm iarfmf iarffm iarfmf iarmff iarmff iamfrf iamffr iamrff
iamrff iamfrf iamffr irfafm irfamf irffam irffma irfmfa irfmaf iraffm irafmf
iraffm irafmf iramff iramff irfafm irfamf irffam irffma irfmfa irfmaf irmaff
irmaff irmfaf irmffa irmffa irmfaf imfarf imfafr imfraf imfrfa imffra imffar
imafrf imaffr imarff imarff imafrf imaffr imraff imraff imrfaf imrffa imrffa
imrfaf imfarf imfafr imfraf imfrfa imffra imffar rffiam rffima rffaim rffami
rffmai rffmia rfifam rfifma rfiafm rfiamf rfimaf rfimfa rfaifm rfaimf rfafim
rfafmi rfamfi rfamif rfmiaf rfmifa rfmaif rfmafi rfmfai rfmfia rffiam rffima
rffaim rffami rffmai rffmia rfifam rfifma rfiafm rfiamf rfimaf rfimfa rfaifm
rfaimf rfafim rfafmi rfamfi rfamif rfmiaf rfmifa rfmaif rfmafi rfmfai rfmfia
riffam riffma rifafm rifamf rifmaf rifmfa riffam riffma rifafm rifamf rifmaf
rifmfa riaffm riafmf riaffm riafmf riamff riamff rimfaf rimffa rimaff rimaff
rimfaf rimffa rafifm rafimf raffim raffmi rafmfi rafmif raiffm raifmf raiffm
raifmf raimff raimff rafifm rafimf raffim raffmi rafmfi rafmif ramiff ramiff
ramfif ramffi ramffi ramfif rmfiaf rmfifa rmfaif rmfafi rmffai rmffia rmifaf
rmiffa rmiaff rmiaff rmifaf rmiffa rmaiff rmaiff rmafif rmaffi rmaffi rmafif
rmfiaf rmfifa rmfaif rmfafi rmffai rmffia mffira mffiar mffria mffrai mffari
mffair mfifra mfifar mfirfa mfiraf mfiarf mfiafr mfrifa mfriaf mfrfia mfrfai
mfrafi mfraif mfairf mfaifr mfarif mfarfi mfafri mfafir mffira mffiar mffria
mffrai mffari mffair mfifra mfifar mfirfa mfiraf mfiarf mfiafr mfrifa mfriaf
mfrfia mfrfai mfrafi mfraif mfairf mfaifr mfarif mfarfi mfafri mfafir miffra
miffar mifrfa mifraf mifarf mifafr miffra miffar mifrfa mifraf mifarf mifafr
mirffa mirfaf mirffa mirfaf miraff miraff miafrf miaffr miarff miarff miafrf
miaffr mrfifa mrfiaf mrffia mrffai mrfafi mrfaif mriffa mrifaf mriffa mrifaf
mriaff mriaff mrfifa mrfiaf mrffia mrffai mrfafi mrfaif mraiff mraiff mrafif
mraffi mraffi mrafif mafirf mafifr mafrif mafrfi maffri maffir maifrf maiffr
mairff mairff maifrf maiffr mariff mariff marfif marffi marffi marfif mafirf
mafifr mafrif mafrfi maffri maffir

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

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