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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: dareta
cipher variations:
ebsfub fctgvc gduhwd hevixe ifwjyf
jgxkzg khylah lizmbi mjancj nkbodk
olcpel pmdqfm qnergn rofsho spgtip
tqhujq urivkr vsjwls wtkxmt xulynu
yvmzov zwnapw axobqx bypcry czqdsz

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: dareta
Cipher: wzivgz

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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: dareta
Cipher: AAABB AAAAA BAAAA AABAA BAABA AAAAA

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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: dareta
cipher variations:
ebsfubkbangbqbivsbwbqdebcbylqbibgtcbubwjababermb
gbmzybmbuhkbsbcpwbybkxibfctgvclcbohcrcjwtcxcrefc
dczmrcjchudcvcxkbcbcfsnchcnazcncvilctcdqxczclyjc
gduhwdmdcpidsdkxudydsfgdedansdkdivedwdylcdcdgtod
idobadodwjmduderydadmzkdhevixenedqjetelyvezetghe
febotelejwfexezmdedehupejepcbepexknevefszebenale
ifwjyfoferkfufmzwfafuhifgfcpufmfkxgfyfanefefivqf
kfqdcfqfylofwfgtafcfobmfjgxkzgpgfslgvgnaxgbgvijg
hgdqvgnglyhgzgbofgfgjwrglgredgrgzmpgxghubgdgpcng
khylahqhgtmhwhobyhchwjkhiherwhohmzihahcpghghkxsh
mhsfehshanqhyhivchehqdohlizmbirihunixipczidixkli
jifsxipinajibidqhihilytinitgfitiborizijwdifirepi
mjancjsjivojyjqdajejylmjkjgtyjqjobkjcjerijijmzuj
ojuhgjujcpsjajkxejgjsfqjnkbodktkjwpkzkrebkfkzmnk
lkhuzkrkpclkdkfsjkjknavkpkvihkvkdqtkbklyfkhktgrk
olcpelulkxqlalsfclglanolmlivalslqdmlelgtklklobwl
qlwjilwlerulclmzgliluhslpmdqfmvmlyrmbmtgdmhmbopm
nmjwbmtmrenmfmhulmlmpcxmrmxkjmxmfsvmdmnahmjmvitm
qnergnwnmzsncnuhenincpqnonkxcnunsfongnivmnmnqdyn
snylknyngtwnenobinknwjunrofshoxonatodovifojodqro
polydovotgpohojwnonorezotozmlozohuxofopcjoloxkvo
spgtipypobupepwjgpkperspqpmzepwpuhqpipkxopopsfap
upanmpapivypgpqdkpmpylwptqhujqzqpcvqfqxkhqlqfstq
rqnafqxqvirqjqlypqpqtgbqvqbonqbqjwzqhqrelqnqzmxq
urivkrarqdwrgrylirmrgtursrobgryrwjsrkrmzqrqruhcr
wrcporcrkxarirsfmroranyrvsjwlsbsrexshszmjsnshuvs
tspchszsxktslsnarsrsvidsxsdqpsdslybsjstgnspsbozs
wtkxmtctsfytitanktotivwtutqditatylutmtobststwjet
yterqtetmzctktuhotqtcpatxulynudutgzujubolupujwxu
vurejubuzmvunupctutuxkfuzufsrufunaduluvipurudqbu
yvmzovevuhavkvcpmvqvkxyvwvsfkvcvanwvovqduvuvylgv
avgtsvgvobevmvwjqvsvercvzwnapwfwvibwlwdqnwrwlyzw
xwtglwdwboxwpwrevwvwzmhwbwhutwhwpcfwnwxkrwtwfsdw
axobqxgxwjcxmxeroxsxmzaxyxuhmxexcpyxqxsfwxwxanix
cxivuxixqdgxoxylsxuxgtexbypcryhyxkdynyfspytynaby
zyvinyfydqzyrytgxyxybojydyjwvyjyrehypyzmtyvyhufy
czqdszizylezozgtqzuzobczazwjozgzerazszuhyzyzcpkz
ezkxwzkzsfizqzanuzwzivgzdaretajazmfapahuravapcda
baxkpahafsbatavizazadqlafalyxalatgjarabovaxajwha

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: dareta
Cipher: qnergn

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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: dareta
Cipher: 411124514411

Extended Methods:
Method #1

Plaintext: dareta
method variations:
ifwkyfolbpdltqguiqyvmzov

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d a r e t a 
4 1 2 5 4 1 
1 1 4 1 4 1 
They are then read out in rows:
412541114141
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: dareta
Cipher: dwdadd

Read more ...
Method #3

Plaintext: dareta
method variations:
afyqdq fyqdqa yqdqaf
qdqafy dqafyq qafyqd

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: dareta

all 720 cipher variations:
dareta dareat dartea dartae darate daraet daerta daerat daetra daetar daeatr
daeart datera datear datrea datrae datare dataer daaetr daaert daater daatre
daarte daaret draeta draeat dratea dratae draate draaet dreata dreaat dretaa
dretaa dreata dreaat drteaa drteaa drtaea drtaae drtaae drtaea draeta draeat
dratea dratae draate draaet derata deraat dertaa dertaa derata deraat dearta
dearat deatra deatar deaatr deaart detara detaar detraa detraa detara detaar
deaatr deaart deatar deatra dearta dearat dtreaa dtreaa dtraea dtraae dtraae
dtraea dteraa dteraa dteara dteaar dteaar dteara dtaera dtaear dtarea dtarae
dtaare dtaaer dtaear dtaera dtaaer dtaare dtarae dtarea dareta dareat dartea
dartae darate daraet daerta daerat daetra daetar daeatr daeart datera datear
datrea datrae datare dataer daaetr daaert daater daatre daarte daaret adreta
adreat adrtea adrtae adrate adraet aderta aderat adetra adetar adeatr adeart
adtera adtear adtrea adtrae adtare adtaer adaetr adaert adater adatre adarte
adaret ardeta ardeat ardtea ardtae ardate ardaet aredta aredat aretda aretad
areatd areadt arteda artead artdea artdae artade artaed araetd araedt arated
aratde aradte aradet aerdta aerdat aertda aertad aeratd aeradt aedrta aedrat
aedtra aedtar aedatr aedart aetdra aetdar aetrda aetrad aetard aetadr aeadtr
aeadrt aeatdr aeatrd aeartd aeardt atreda atread atrdea atrdae atrade atraed
aterda aterad atedra atedar ateadr ateard atdera atdear atdrea atdrae atdare
atdaer ataedr ataerd atader atadre atarde atared aaretd aaredt aarted aartde
aardte aardet aaertd aaerdt aaetrd aaetdr aaedtr aaedrt aaterd aatedr aatred
aatrde aatdre aatder aadetr aadert aadter aadtre aadrte aadret radeta radeat
radtea radtae radate radaet raedta raedat raetda raetad raeatd raeadt rateda
ratead ratdea ratdae ratade rataed raaetd raaedt raated raatde raadte raadet
rdaeta rdaeat rdatea rdatae rdaate rdaaet rdeata rdeaat rdetaa rdetaa rdeata
rdeaat rdteaa rdteaa rdtaea rdtaae rdtaae rdtaea rdaeta rdaeat rdatea rdatae
rdaate rdaaet redata redaat redtaa redtaa redata redaat readta readat reatda
reatad reaatd reaadt retada retaad retdaa retdaa retada retaad reaatd reaadt
reatad reatda readta readat rtdeaa rtdeaa rtdaea rtdaae rtdaae rtdaea rtedaa
rtedaa rteada rteaad rteaad rteada rtaeda rtaead rtadea rtadae rtaade rtaaed
rtaead rtaeda rtaaed rtaade rtadae rtadea radeta radeat radtea radtae radate
radaet raedta raedat raetda raetad raeatd raeadt rateda ratead ratdea ratdae
ratade rataed raaetd raaedt raated raatde raadte raadet eardta eardat eartda
eartad earatd earadt eadrta eadrat eadtra eadtar eadatr eadart eatdra eatdar
eatrda eatrad eatard eatadr eaadtr eaadrt eaatdr eaatrd eaartd eaardt eradta
eradat eratda eratad eraatd eraadt erdata erdaat erdtaa erdtaa erdata erdaat
ertdaa ertdaa ertada ertaad ertaad ertada eradta eradat eratda eratad eraatd
eraadt edrata edraat edrtaa edrtaa edrata edraat edarta edarat edatra edatar
edaatr edaart edtara edtaar edtraa edtraa edtara edtaar edaatr edaart edatar
edatra edarta edarat etrdaa etrdaa etrada etraad etraad etrada etdraa etdraa
etdara etdaar etdaar etdara etadra etadar etarda etarad etaard etaadr etadar
etadra etaadr etaard etarad etarda eardta eardat eartda eartad earatd earadt
eadrta eadrat eadtra eadtar eadatr eadart eatdra eatdar eatrda eatrad eatard
eatadr eaadtr eaadrt eaatdr eaatrd eaartd eaardt tareda taread tardea tardae
tarade taraed taerda taerad taedra taedar taeadr taeard tadera tadear tadrea
tadrae tadare tadaer taaedr taaerd taader taadre taarde taared traeda traead
tradea tradae traade traaed treada treaad tredaa tredaa treada treaad trdeaa
trdeaa trdaea trdaae trdaae trdaea traeda traead tradea tradae traade traaed
terada teraad terdaa terdaa terada teraad tearda tearad teadra teadar teaadr
teaard tedara tedaar tedraa tedraa tedara tedaar teaadr teaard teadar teadra
tearda tearad tdreaa tdreaa tdraea tdraae tdraae tdraea tderaa tderaa tdeara
tdeaar tdeaar tdeara tdaera tdaear tdarea tdarae tdaare tdaaer tdaear tdaera
tdaaer tdaare tdarae tdarea tareda taread tardea tardae tarade taraed taerda
taerad taedra taedar taeadr taeard tadera tadear tadrea tadrae tadare tadaer
taaedr taaerd taader taadre taarde taared aaretd aaredt aarted aartde aardte
aardet aaertd aaerdt aaetrd aaetdr aaedtr aaedrt aaterd aatedr aatred aatrde
aatdre aatder aadetr aadert aadter aadtre aadrte aadret araetd araedt arated
aratde aradte aradet areatd areadt aretad aretda aredta aredat artead arteda
artaed artade artdae artdea ardeta ardeat ardtea ardtae ardate ardaet aeratd
aeradt aertad aertda aerdta aerdat aeartd aeardt aeatrd aeatdr aeadtr aeadrt
aetard aetadr aetrad aetrda aetdra aetdar aedatr aedart aedtar aedtra aedrta
aedrat atread atreda atraed atrade atrdae atrdea aterad aterda ateard ateadr
atedar atedra ataerd ataedr atared atarde atadre atader atdear atdera atdaer
atdare atdrae atdrea adreta adreat adrtea adrtae adrate adraet aderta aderat
adetra adetar adeatr adeart adtera adtear adtrea adtrae adtare adtaer adaetr
adaert adater adatre adarte adaret

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