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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: delmer
cipher variations:
efmnfs fgnogt ghophu hipqiv ijqrjw
jkrskx klstly lmtumz mnuvna novwob
opwxpc pqxyqd qryzre rszasf stabtg
tubcuh uvcdvi vwdewj wxefxk xyfgyl
yzghzm zahian abijbo bcjkcp cdkldq

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: delmer
Cipher: wvonvi

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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: delmer
Cipher: AAABB AABAA ABABA ABABB AABAA 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: delmer
cipher variations:
efmnfsknilnaqvejviwdahdqclwflyitsdtgujkzjwargxre
gzcvzmmhythuspurpcyxqpxkfgnogtlojmobrwfkwjxebier
dmxgmzjuteuhvklakxbshysfhadwannizuivtqvsqdzyrqyl
ghophumpknpcsxglxkyfcjfsenyhnakvufviwlmblyctiztg
ibexboojavjwurwtreazsrzmhipqivnqloqdtyhmylzgdkgt
fozioblwvgwjxmncmzdujauhjcfycppkbwkxvsxusfbatsan
ijqrjwormpreuzinzmahelhugpajpcmxwhxkynodnaevkbvi
kdgzdqqlcxlywtyvtgcbutbojkrskxpsnqsfvajoanbifmiv
hqbkqdnyxiylzopeobfwlcwjlehaerrmdymzxuzwuhdcvucp
klstlyqtortgwbkpbocjgnjwirclreozyjzmapqfpcgxmdxk
mfibfssneznayvaxviedwvdqlmtumzrupsuhxclqcpdkhokx
jsdmsfpazkanbqrgqdhyneylngjcgttofaobzwbywjfexwer
mnuvnasvqtviydmrdqeliplyktentgqbalbocrshreizofzm
ohkdhuupgbpcaxczxkgfyxfsnovwobtwruwjzenserfmjqmz
lufouhrcbmcpdstisfjapganpileivvqhcqdbydaylhgzygt
opwxpcuxsvxkafotfsgnkrnamvgpvisdcndqetujtgkbqhbo
qjmfjwwridreczebzmihazhupqxyqdvytwylbgpugtholsob
nwhqwjtedoerfuvkuhlcricprkngkxxsjesfdafcanjibaiv
qryzrewzuxzmchqvhuipmtpcoxirxkufepfsgvwlvimdsjdq
slohlyytkftgebgdbokjcbjwrszasfxavyandirwivjqnuqd
pyjsylvgfqgthwxmwjnetkertmpimzzulguhfchecplkdckx
stabtgybwzboejsxjwkrovreqzktzmwhgrhuixynxkofulfs
unqjnaavmhvigdifdqmledlytubcuhzcxacpfktykxlspwsf
raluanxihsivjyzoylpgvmgtvorkobbwniwjhejgernmfemz
uvcdviadybdqgluzlymtqxtgsbmvboyjitjwkzapzmqhwnhu
wpslpccxojxkifkhfsongfnavwdewjbezcerhmvamznuryuh
tcnwcpzkjukxlabqanrixoivxqtmqddypkyljgligtpohgob
wxefxkcfadfsinwbnaovszviudoxdqalkvlymbcrbosjypjw
yrunreezqlzmkhmjhuqpihpcxyfgyldgbegtjoxcobpwtawj
vepyerbmlwmzncdscptkzqkxzsvosffarmanlinkivrqjiqd
yzghzmehcfhukpydpcqxubxkwfqzfscnmxnaodetdqularly
atwptggbsnbomjoljwsrkjrezahianfidgivlqzeqdryvcyl
xgragtdonyobpefuervmbsmzbuxquhhctocpnkpmkxtslksf
abijbogjehjwmrafreszwdzmyhsbhuepozpcqfgvfswnctna
cvyrviidupdqolqnlyutmltgbcjkcphkfikxnsbgsftaxean
zitcivfqpaqdrghwgtxoduobdwzswjjevqerpmromzvunmuh
cdkldqilgjlyotchtgubyfboajudjwgrqbreshixhuypevpc
exatxkkfwrfsqnspnawvonvidelmerjmhkmzpudiuhvczgcp
bkvekxhsrcsftijyivzqfwqdfybuyllgxsgtrotqobxwpowj

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: delmer
Cipher: qryzre

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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: delmer
Cipher: 415113235124

Extended Methods:
Method #1

Plaintext: delmer
method variations:
ikqrkwopvwpbtuabugyzfgzm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d e l m e r 
4 5 1 2 5 2 
1 1 3 3 1 4 
They are then read out in rows:
451252113314
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: delmer
Cipher: yfkanq

Read more ...
Method #3

Plaintext: delmer
method variations:
vahxft ahxftv hxftva
xftvah ftvahx tvahxf

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: delmer

all 720 cipher variations:
delmer delmre delemr delerm delrem delrme demler demlre demelr demerl demrel
demrle deemlr deemrl deelmr deelrm deerlm deerml dermel dermle dereml derelm
derlem derlme dlemer dlemre dleemr dleerm dlerem dlerme dlmeer dlmere dlmeer
dlmere dlmree dlmree dlemer dlemre dleemr dleerm dlerem dlerme dlrmee dlrmee
dlreme dlreem dlreem dlreme dmleer dmlere dmleer dmlere dmlree dmlree dmeler
dmelre dmeelr dmeerl dmerel dmerle dmeelr dmeerl dmeler dmelre dmerle dmerel
dmreel dmrele dmreel dmrele dmrlee dmrlee delmer delmre delemr delerm delrem
delrme demler demlre demelr demerl demrel demrle deemlr deemrl deelmr deelrm
deerlm deerml dermel dermle dereml derelm derlem derlme drlmee drlmee drleme
drleem drleem drleme drmlee drmlee drmele drmeel drmeel drmele dremle dremel
drelme drelem dreelm dreeml dremel dremle dreeml dreelm drelem drelme edlmer
edlmre edlemr edlerm edlrem edlrme edmler edmlre edmelr edmerl edmrel edmrle
edemlr edemrl edelmr edelrm ederlm ederml edrmel edrmle edreml edrelm edrlem
edrlme eldmer eldmre eldemr elderm eldrem eldrme elmder elmdre elmedr elmerd
elmred elmrde elemdr elemrd eledmr eledrm elerdm elermd elrmed elrmde elremd
elredm elrdem elrdme emlder emldre emledr emlerd emlred emlrde emdler emdlre
emdelr emderl emdrel emdrle emedlr emedrl emeldr emelrd emerld emerdl emrdel
emrdle emredl emreld emrled emrlde eelmdr eelmrd eeldmr eeldrm eelrdm eelrmd
eemldr eemlrd eemdlr eemdrl eemrdl eemrld eedmlr eedmrl eedlmr eedlrm eedrlm
eedrml eermdl eermld eerdml eerdlm eerldm eerlmd erlmed erlmde erlemd erledm
erldem erldme ermled ermlde ermeld ermedl ermdel ermdle eremld eremdl erelmd
ereldm eredlm eredml erdmel erdmle erdeml erdelm erdlem erdlme ledmer ledmre
ledemr lederm ledrem ledrme lemder lemdre lemedr lemerd lemred lemrde leemdr
leemrd leedmr leedrm leerdm leermd lermed lermde leremd leredm lerdem lerdme
ldemer ldemre ldeemr ldeerm lderem lderme ldmeer ldmere ldmeer ldmere ldmree
ldmree ldemer ldemre ldeemr ldeerm lderem lderme ldrmee ldrmee ldreme ldreem
ldreem ldreme lmdeer lmdere lmdeer lmdere lmdree lmdree lmeder lmedre lmeedr
lmeerd lmered lmerde lmeedr lmeerd lmeder lmedre lmerde lmered lmreed lmrede
lmreed lmrede lmrdee lmrdee ledmer ledmre ledemr lederm ledrem ledrme lemder
lemdre lemedr lemerd lemred lemrde leemdr leemrd leedmr leedrm leerdm leermd
lermed lermde leremd leredm lerdem lerdme lrdmee lrdmee lrdeme lrdeem lrdeem
lrdeme lrmdee lrmdee lrmede lrmeed lrmeed lrmede lremde lremed lredme lredem
lreedm lreemd lremed lremde lreemd lreedm lredem lredme melder meldre meledr
melerd melred melrde medler medlre medelr mederl medrel medrle meedlr meedrl
meeldr meelrd meerld meerdl merdel merdle meredl mereld merled merlde mleder
mledre mleedr mleerd mlered mlerde mldeer mldere mldeer mldere mldree mldree
mleder mledre mleedr mleerd mlered mlerde mlrdee mlrdee mlrede mlreed mlreed
mlrede mdleer mdlere mdleer mdlere mdlree mdlree mdeler mdelre mdeelr mdeerl
mderel mderle mdeelr mdeerl mdeler mdelre mderle mderel mdreel mdrele mdreel
mdrele mdrlee mdrlee melder meldre meledr melerd melred melrde medler medlre
medelr mederl medrel medrle meedlr meedrl meeldr meelrd meerld meerdl merdel
merdle meredl mereld merled merlde mrldee mrldee mrlede mrleed mrleed mrlede
mrdlee mrdlee mrdele mrdeel mrdeel mrdele mredle mredel mrelde mreled mreeld
mreedl mredel mredle mreedl mreeld mreled mrelde eelmdr eelmrd eeldmr eeldrm
eelrdm eelrmd eemldr eemlrd eemdlr eemdrl eemrdl eemrld eedmlr eedmrl eedlmr
eedlrm eedrlm eedrml eermdl eermld eerdml eerdlm eerldm eerlmd elemdr elemrd
eledmr eledrm elerdm elermd elmedr elmerd elmder elmdre elmrde elmred eldmer
eldmre eldemr elderm eldrem eldrme elrmde elrmed elrdme elrdem elredm elremd
emledr emlerd emlder emldre emlrde emlred emeldr emelrd emedlr emedrl emerdl
emerld emdelr emderl emdler emdlre emdrle emdrel emredl emreld emrdel emrdle
emrlde emrled edlmer edlmre edlemr edlerm edlrem edlrme edmler edmlre edmelr
edmerl edmrel edmrle edemlr edemrl edelmr edelrm ederlm ederml edrmel edrmle
edreml edrelm edrlem edrlme erlmde erlmed erldme erldem erledm erlemd ermlde
ermled ermdle ermdel ermedl ermeld erdmle erdmel erdlme erdlem erdelm erdeml
eremdl eremld eredml eredlm ereldm erelmd relmed relmde relemd reledm reldem
reldme remled remlde remeld remedl remdel remdle reemld reemdl reelmd reeldm
reedlm reedml redmel redmle redeml redelm redlem redlme rlemed rlemde rleemd
rleedm rledem rledme rlmeed rlmede rlmeed rlmede rlmdee rlmdee rlemed rlemde
rleemd rleedm rledem rledme rldmee rldmee rldeme rldeem rldeem rldeme rmleed
rmlede rmleed rmlede rmldee rmldee rmeled rmelde rmeeld rmeedl rmedel rmedle
rmeeld rmeedl rmeled rmelde rmedle rmedel rmdeel rmdele rmdeel rmdele rmdlee
rmdlee relmed relmde relemd reledm reldem reldme remled remlde remeld remedl
remdel remdle reemld reemdl reelmd reeldm reedlm reedml redmel redmle redeml
redelm redlem redlme rdlmee rdlmee rdleme rdleem rdleem rdleme rdmlee rdmlee
rdmele rdmeel rdmeel rdmele rdemle rdemel rdelme rdelem rdeelm rdeeml rdemel
rdemle rdeeml rdeelm rdelem rdelme

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