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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: morrah
cipher variations:
npssbi oqttcj pruudk qsvvel rtwwfm
suxxgn tvyyho uwzzip vxaajq wybbkr
xzccls yaddmt zbeenu acffov bdggpw
cehhqx dfiiry egjjsz fhkkta gillub
hjmmvc iknnwd jlooxe kmppyf lnqqzg

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: morrah
Cipher: nliizs

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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: morrah
Cipher: ABABB ABBAB BAAAA BAAAA AAAAA 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: morrah
cipher variations:
npssbilraabwjtiibkhvqqbyfxyybmdzggbazdwwbcxfeebq
vhmmbetjuubsrlccbgpnkkbuoqttcjmsbbcxkujjcliwrrcz
gyzzcneahhcbaexxcdygffcrwinncfukvvctsmddchqollcv
pruudkntccdylvkkdmjxssdahzaadofbiidcbfyydezhggds
xjoodgvlwwdutneedirpmmdwqsvvelouddezmwllenkytteb
iabbepgcjjedcgzzefaihhetykppehwmxxevuoffejsqnnex
rtwwfmpveefanxmmfolzuufcjbccfqhdkkfedhaafgbjiifu
zlqqfixnyyfwvpggfktroofysuxxgnqwffgboynngpmavvgd
kcddgriellgfeibbghckjjgvamrrgjyozzgxwqhhglusppgz
tvyyhorxgghcpzoohqnbwwheldeehsjfmmhgfjcchidlkkhw
bnsshkzpaahyxriihmvtqqhauwzzipsyhhidqappirocxxif
meffitkgnnihgkddijemllixcottilaqbbizysjjinwurrib
vxaajqtziijerbqqjspdyyjgnfggjulhoojihleejkfnmmjy
dpuujmbrccjaztkkjoxvssjcwybbkruajjkfscrrktqezzkh
oghhkvmippkjimffklgonnkzeqvvkncsddkbaullkpywttkd
xzcclsvbkklgtdsslurfaaliphiilwnjqqlkjngglmhpoola
frwwlodteelcbvmmlqzxuuleyaddmtwcllmhuettmvsgbbmj
qijjmxokrrmlkohhmniqppmbgsxxmpeuffmdcwnnmrayvvmf
zbeenuxdmmnivfuunwthccnkrjkknyplssnmlpiinojrqqnc
htyynqfvggnedxoonsbzwwngacffovyennojwgvvoxuiddol
skllozqmttonmqjjopksrrodiuzzorgwhhofeyppotcaxxoh
bdggpwzfoopkxhwwpyvjeepmtlmmparnuuponrkkpqltsspe
jvaapshxiipgfzqqpudbyypicehhqxagppqlyixxqzwkffqn
umnnqbsovvqposllqrmuttqfkwbbqtiyjjqhgarrqveczzqj
dfiirybhqqrmzjyyraxlggrovnoorctpwwrqptmmrsnvuurg
lxccrujzkkrihbssrwfdaarkegjjszcirrsnakzzsbymhhsp
woppsduqxxsrqunnstowvvshmyddsvkallsjicttsxgebbsl
fhkktadjsstoblaatczniitqxpqqtevryytsrvootupxwwti
nzeetwlbmmtkjduutyhfcctmgillubekttupcmbbudaojjur
yqrrufwszzutswppuvqyxxujoaffuxmcnnulkevvuzigddun
hjmmvcfluuvqdnccvebpkkvszrssvgxtaavutxqqvwrzyyvk
pbggvyndoovmlfwwvajheevoiknnwdgmvvwreoddwfcqllwt
asttwhyubbwvuyrrwxsazzwlqchhwzoeppwnmgxxwbkiffwp
jlooxehnwwxsfpeexgdrmmxubtuuxizvccxwvzssxytbaaxm
rdiixapfqqxonhyyxcljggxqkmppyfioxxytgqffyhesnnyv
cuvvyjawddyxwattyzucbbynsejjybqgrrypoizzydmkhhyr
lnqqzgjpyyzuhrggziftoozwdvwwzkbxeezyxbuuzavdcczo
tfkkzcrhsszqpjaazenliizsmorrahkqzzavishhajguppax
ewxxalcyffazycvvabweddapuglladsittarqkbbafomjjat

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: morrah
Cipher: zbeenu

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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: morrah
Cipher: 234324241132

Extended Methods:
Method #1

Plaintext: morrah
method variations:
rtwwfnwybblsbdggqxgimmvc

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m o r r a h 
2 4 2 2 1 3 
3 3 4 4 1 2 
They are then read out in rows:
242213334412
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: morrah
Cipher: rglntf

Read more ...
Method #3

Plaintext: morrah
method variations:
shidlg hidlgs idlgsh
dlgshi lgshid gshidl

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: morrah

all 720 cipher variations:
morrah morrha morarh morahr morhar morhra morrah morrha morarh morahr morhar
morhra moarrh moarhr moarrh moarhr moahrr moahrr mohrar mohrra moharr moharr
mohrar mohrra mrorah mrorha mroarh mroahr mrohar mrohra mrroah mrroha mrraoh
mrraho mrrhao mrrhoa mraroh mrarho mraorh mraohr mrahor mrahro mrhrao mrhroa
mrharo mrhaor mrhoar mrhora mrroah mrroha mrraoh mrraho mrrhao mrrhoa mrorah
mrorha mroarh mroahr mrohar mrohra mraorh mraohr mraroh mrarho mrahro mrahor
mrhoar mrhora mrhaor mrharo mrhrao mrhroa marroh marrho marorh marohr marhor
marhro marroh marrho marorh marohr marhor marhro maorrh maorhr maorrh maorhr
maohrr maohrr mahror mahrro mahorr mahorr mahror mahrro mhrrao mhrroa mhraro
mhraor mhroar mhrora mhrrao mhrroa mhraro mhraor mhroar mhrora mharro mharor
mharro mharor mhaorr mhaorr mhorar mhorra mhoarr mhoarr mhorar mhorra omrrah
omrrha omrarh omrahr omrhar omrhra omrrah omrrha omrarh omrahr omrhar omrhra
omarrh omarhr omarrh omarhr omahrr omahrr omhrar omhrra omharr omharr omhrar
omhrra ormrah ormrha ormarh ormahr ormhar ormhra orrmah orrmha orramh orrahm
orrham orrhma orarmh orarhm oramrh oramhr orahmr orahrm orhram orhrma orharm
orhamr orhmar orhmra orrmah orrmha orramh orrahm orrham orrhma ormrah ormrha
ormarh ormahr ormhar ormhra oramrh oramhr orarmh orarhm orahrm orahmr orhmar
orhmra orhamr orharm orhram orhrma oarrmh oarrhm oarmrh oarmhr oarhmr oarhrm
oarrmh oarrhm oarmrh oarmhr oarhmr oarhrm oamrrh oamrhr oamrrh oamrhr oamhrr
oamhrr oahrmr oahrrm oahmrr oahmrr oahrmr oahrrm ohrram ohrrma ohrarm ohramr
ohrmar ohrmra ohrram ohrrma ohrarm ohramr ohrmar ohrmra oharrm oharmr oharrm
oharmr ohamrr ohamrr ohmrar ohmrra ohmarr ohmarr ohmrar ohmrra romrah romrha
romarh romahr romhar romhra rormah rormha roramh rorahm rorham rorhma roarmh
roarhm roamrh roamhr roahmr roahrm rohram rohrma roharm rohamr rohmar rohmra
rmorah rmorha rmoarh rmoahr rmohar rmohra rmroah rmroha rmraoh rmraho rmrhao
rmrhoa rmaroh rmarho rmaorh rmaohr rmahor rmahro rmhrao rmhroa rmharo rmhaor
rmhoar rmhora rrmoah rrmoha rrmaoh rrmaho rrmhao rrmhoa rromah rromha rroamh
rroahm rroham rrohma rraomh rraohm rramoh rramho rrahmo rrahom rrhoam rrhoma
rrhaom rrhamo rrhmao rrhmoa ramroh ramrho ramorh ramohr ramhor ramhro rarmoh
rarmho raromh rarohm rarhom rarhmo raormh raorhm raomrh raomhr raohmr raohrm
rahrom rahrmo rahorm rahomr rahmor rahmro rhmrao rhmroa rhmaro rhmaor rhmoar
rhmora rhrmao rhrmoa rhramo rhraom rhroam rhroma rharmo rharom rhamro rhamor
rhaomr rhaorm rhoram rhorma rhoarm rhoamr rhomar rhomra rormah rormha roramh
rorahm rorham rorhma romrah romrha romarh romahr romhar romhra roamrh roamhr
roarmh roarhm roahrm roahmr rohmar rohmra rohamr roharm rohram rohrma rromah
rromha rroamh rroahm rroham rrohma rrmoah rrmoha rrmaoh rrmaho rrmhao rrmhoa
rramoh rramho rraomh rraohm rrahom rrahmo rrhmao rrhmoa rrhamo rrhaom rrhoam
rrhoma rmroah rmroha rmraoh rmraho rmrhao rmrhoa rmorah rmorha rmoarh rmoahr
rmohar rmohra rmaorh rmaohr rmaroh rmarho rmahro rmahor rmhoar rmhora rmhaor
rmharo rmhrao rmhroa rarmoh rarmho raromh rarohm rarhom rarhmo ramroh ramrho
ramorh ramohr ramhor ramhro raomrh raomhr raormh raorhm raohrm raohmr rahmor
rahmro rahomr rahorm rahrom rahrmo rhrmao rhrmoa rhramo rhraom rhroam rhroma
rhmrao rhmroa rhmaro rhmaor rhmoar rhmora rhamro rhamor rharmo rharom rhaorm
rhaomr rhomar rhomra rhoamr rhoarm rhoram rhorma aorrmh aorrhm aormrh aormhr
aorhmr aorhrm aorrmh aorrhm aormrh aormhr aorhmr aorhrm aomrrh aomrhr aomrrh
aomrhr aomhrr aomhrr aohrmr aohrrm aohmrr aohmrr aohrmr aohrrm arormh arorhm
aromrh aromhr arohmr arohrm arromh arrohm arrmoh arrmho arrhmo arrhom armroh
armrho armorh armohr armhor armhro arhrmo arhrom arhmro arhmor arhomr arhorm
arromh arrohm arrmoh arrmho arrhmo arrhom arormh arorhm aromrh aromhr arohmr
arohrm armorh armohr armroh armrho armhro armhor arhomr arhorm arhmor arhmro
arhrmo arhrom amrroh amrrho amrorh amrohr amrhor amrhro amrroh amrrho amrorh
amrohr amrhor amrhro amorrh amorhr amorrh amorhr amohrr amohrr amhror amhrro
amhorr amhorr amhror amhrro ahrrmo ahrrom ahrmro ahrmor ahromr ahrorm ahrrmo
ahrrom ahrmro ahrmor ahromr ahrorm ahmrro ahmror ahmrro ahmror ahmorr ahmorr
ahormr ahorrm ahomrr ahomrr ahormr ahorrm horram horrma horarm horamr hormar
hormra horram horrma horarm horamr hormar hormra hoarrm hoarmr hoarrm hoarmr
hoamrr hoamrr homrar homrra homarr homarr homrar homrra hroram hrorma hroarm
hroamr hromar hromra hrroam hrroma hrraom hrramo hrrmao hrrmoa hrarom hrarmo
hraorm hraomr hramor hramro hrmrao hrmroa hrmaro hrmaor hrmoar hrmora hrroam
hrroma hrraom hrramo hrrmao hrrmoa hroram hrorma hroarm hroamr hromar hromra
hraorm hraomr hrarom hrarmo hramro hramor hrmoar hrmora hrmaor hrmaro hrmrao
hrmroa harrom harrmo harorm haromr harmor harmro harrom harrmo harorm haromr
harmor harmro haorrm haormr haorrm haormr haomrr haomrr hamror hamrro hamorr
hamorr hamror hamrro hmrrao hmrroa hmraro hmraor hmroar hmrora hmrrao hmrroa
hmraro hmraor hmroar hmrora hmarro hmaror hmarro hmaror hmaorr hmaorr hmorar
hmorra hmoarr hmoarr hmorar hmorra

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