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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: gordos
cipher variations:
hpsept iqtfqu jrugrv ksvhsw ltwitx
muxjuy nvykvz owzlwa pxamxb qybnyc
rzcozd sadpae tbeqbf ucfrcg vdgsdh
wehtei xfiufj ygjvgk zhkwhl ailxim
bjmyjn cknzko dloalp empbmq fnqcnr

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: gordos
Cipher: tliwlh

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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: gordos
Cipher: AABBA ABBAB BAAAA AAABB ABBAB BAAAB

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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: gordos
cipher variations:
hpsepttrakrdftiqtnrvqwvxdxycxhpzgizrndwudlzfeafv
lhmghfxjumjpjlcslzvnkynjiqtfquusblsegujruoswrxwy
eyzdyiqahjasoexvemagfbgwminhigykvnkqkmdtmawolzok
jrugrvvtcmtfhvksvptxsyxzfzaezjrbikbtpfywfnbhgchx
njoijhzlwolrlneunbxpmaplksvhswwudnugiwltwquytzya
gabfakscjlcuqgzxgocihdiyokpjkiamxpmsmofvocyqnbqm
ltwitxxveovhjxmuxrvzuazbhbcgbltdkmdvrhayhpdjiejz
plqkljbnyqntnpgwpdzrocrnmuxjuyywfpwikynvyswavbac
icdhcmuelnewsibziqekjfkaqmrlmkcozrouoqhxqeaspdso
nvykvzzxgqxjlzowztxbwcbdjdeidnvfmofxtjcajrflkglb
rnsmnldpaspvpriyrfbtqetpowzlwaayhrykmapxauycxdce
kefjeowgnpgyukdbksgmlhmcsotnomeqbtqwqsjzsgcurfuq
pxamxbbziszlnbqybvzdyedflfgkfpxhoqhzvleclthnmind
tpuopnfrcurxrtkathdvsgvrqybnyccajtamocrzcwaezfeg
mghlgqyipriawmfdmuionjoeuqvpqogsdvsysulbuiewthws
rzcozddbkubnpdsadxbfagfhnhimhrzjqsjbxngenvjpokpf
vrwqrphtewtztvmcvjfxuixtsadpaeeclvcoqetbeycgbhgi
oijnisakrtkcyohfowkqplqgwsxrsqiufxuauwndwkgyvjyu
tbeqbffdmwdprfucfzdhcihjpjkojtblsuldzpigpxlrqmrh
xtystrjvgyvbvxoexlhzwkzvucfrcggenxeqsgvdgaeidjik
qklpkucmtvmeaqjhqymsrnsiyuztuskwhzwcwypfymiaxlaw
vdgsdhhfoyfrthwehbfjekjlrlmqlvdnuwnfbrkirzntsotj
zvauvtlxiaxdxzqgznjbymbxwehteiigpzgsuixficgkflkm
smnrmweovxogcsljsaoutpukawbvwumyjbyeyarhaokczncy
xfiufjjhqahtvjygjdhlgmlntnosnxfpwyphdtmktbpvuqvl
bxcwxvnzkczfzbsibpldaodzygjvgkkirbiuwkzhkeimhnmo
uoptoygqxzqieunlucqwvrwmcydxywoaldagactjcqmebpea
zhkwhlljscjvxlailfjnionpvpqupzhryarjfvomvdrxwsxn
dzeyzxpbmebhbdukdrnfcqfbailximmktdkwymbjmgkojpoq
wqrvqaiszbskgwpnwesyxtyoeafzayqcnfcicevlesogdrgc
bjmyjnnluelxzncknhlpkqprxrswrbjtactlhxqoxftzyuzp
fbgabzrdogdjdfwmftpheshdcknzkoomvfmyaodloimqlrqs
ystxsckubdumiyrpyguazvaqgchbcasephekegxnguqiftie
dloalppnwgnzbpempjnrmsrtztuytdlvcevnjzsqzhvbawbr
hdicdbtfqiflfhyohvrjgujfempbmqqoxhoacqfnqkosntsu
auvzuemwdfwokatraiwcbxcsiejdecugrjgmgizpiwskhvkg
fnqcnrrpyipbdrgorlptoutvbvwavfnxegxplbusbjxdcydt
jfkefdvhskhnhjaqjxtliwlhgordossqzjqceshpsmqupvuw
cwxbwgoyfhyqmcvtckyedzeukglfgewitlioikbrkyumjxmi

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: gordos
Cipher: tbeqbf

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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: gordos
Cipher: 224324414334

Extended Methods:
Method #1

Plaintext: gordos
method variations:
mtwitxryboycwdgtdhbimyin

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
g o r d o s 
2 4 2 4 4 3 
2 3 4 1 3 4 
They are then read out in rows:
242443234134
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: gordos
Cipher: rromds

Read more ...
Method #3

Plaintext: gordos
method variations:
rhtqni htqnir tqnirh
qnirht nirhtq irhtqn

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: gordos

all 720 cipher variations:
gordos gordso gorods gorosd gorsod gorsdo godros godrso godors godosr godsor
godsro goodrs goodsr goords goorsd goosrd goosdr gosdor gosdro gosodr gosord
gosrod gosrdo grodos grodso groods groosd grosod grosdo grdoos grdoso grdoos
grdoso grdsoo grdsoo grodos grodso groods groosd grosod grosdo grsdoo grsdoo
grsodo grsood grsood grsodo gdroos gdroso gdroos gdroso gdrsoo gdrsoo gdoros
gdorso gdoors gdoosr gdosor gdosro gdoors gdoosr gdoros gdorso gdosro gdosor
gdsoor gdsoro gdsoor gdsoro gdsroo gdsroo gordos gordso gorods gorosd gorsod
gorsdo godros godrso godors godosr godsor godsro goodrs goodsr goords goorsd
goosrd goosdr gosdor gosdro gosodr gosord gosrod gosrdo gsrdoo gsrdoo gsrodo
gsrood gsrood gsrodo gsdroo gsdroo gsdoro gsdoor gsdoor gsdoro gsodro gsodor
gsordo gsorod gsoord gsoodr gsodor gsodro gsoodr gsoord gsorod gsordo ogrdos
ogrdso ogrods ogrosd ogrsod ogrsdo ogdros ogdrso ogdors ogdosr ogdsor ogdsro
ogodrs ogodsr ogords ogorsd ogosrd ogosdr ogsdor ogsdro ogsodr ogsord ogsrod
ogsrdo orgdos orgdso orgods orgosd orgsod orgsdo ordgos ordgso ordogs ordosg
ordsog ordsgo orodgs orodsg orogds orogsd orosgd orosdg orsdog orsdgo orsodg
orsogd orsgod orsgdo odrgos odrgso odrogs odrosg odrsog odrsgo odgros odgrso
odgors odgosr odgsor odgsro odogrs odogsr odorgs odorsg odosrg odosgr odsgor
odsgro odsogr odsorg odsrog odsrgo oordgs oordsg oorgds oorgsd oorsgd oorsdg
oodrgs oodrsg oodgrs oodgsr oodsgr oodsrg oogdrs oogdsr oogrds oogrsd oogsrd
oogsdr oosdgr oosdrg oosgdr oosgrd oosrgd oosrdg osrdog osrdgo osrodg osrogd
osrgod osrgdo osdrog osdrgo osdorg osdogr osdgor osdgro osodrg osodgr osordg
osorgd osogrd osogdr osgdor osgdro osgodr osgord osgrod osgrdo rogdos rogdso
rogods rogosd rogsod rogsdo rodgos rodgso rodogs rodosg rodsog rodsgo roodgs
roodsg roogds roogsd roosgd roosdg rosdog rosdgo rosodg rosogd rosgod rosgdo
rgodos rgodso rgoods rgoosd rgosod rgosdo rgdoos rgdoso rgdoos rgdoso rgdsoo
rgdsoo rgodos rgodso rgoods rgoosd rgosod rgosdo rgsdoo rgsdoo rgsodo rgsood
rgsood rgsodo rdgoos rdgoso rdgoos rdgoso rdgsoo rdgsoo rdogos rdogso rdoogs
rdoosg rdosog rdosgo rdoogs rdoosg rdogos rdogso rdosgo rdosog rdsoog rdsogo
rdsoog rdsogo rdsgoo rdsgoo rogdos rogdso rogods rogosd rogsod rogsdo rodgos
rodgso rodogs rodosg rodsog rodsgo roodgs roodsg roogds roogsd roosgd roosdg
rosdog rosdgo rosodg rosogd rosgod rosgdo rsgdoo rsgdoo rsgodo rsgood rsgood
rsgodo rsdgoo rsdgoo rsdogo rsdoog rsdoog rsdogo rsodgo rsodog rsogdo rsogod
rsoogd rsoodg rsodog rsodgo rsoodg rsoogd rsogod rsogdo dorgos dorgso dorogs
dorosg dorsog dorsgo dogros dogrso dogors dogosr dogsor dogsro doogrs doogsr
doorgs doorsg doosrg doosgr dosgor dosgro dosogr dosorg dosrog dosrgo drogos
drogso droogs droosg drosog drosgo drgoos drgoso drgoos drgoso drgsoo drgsoo
drogos drogso droogs droosg drosog drosgo drsgoo drsgoo drsogo drsoog drsoog
drsogo dgroos dgroso dgroos dgroso dgrsoo dgrsoo dgoros dgorso dgoors dgoosr
dgosor dgosro dgoors dgoosr dgoros dgorso dgosro dgosor dgsoor dgsoro dgsoor
dgsoro dgsroo dgsroo dorgos dorgso dorogs dorosg dorsog dorsgo dogros dogrso
dogors dogosr dogsor dogsro doogrs doogsr doorgs doorsg doosrg doosgr dosgor
dosgro dosogr dosorg dosrog dosrgo dsrgoo dsrgoo dsrogo dsroog dsroog dsrogo
dsgroo dsgroo dsgoro dsgoor dsgoor dsgoro dsogro dsogor dsorgo dsorog dsoorg
dsoogr dsogor dsogro dsoogr dsoorg dsorog dsorgo oordgs oordsg oorgds oorgsd
oorsgd oorsdg oodrgs oodrsg oodgrs oodgsr oodsgr oodsrg oogdrs oogdsr oogrds
oogrsd oogsrd oogsdr oosdgr oosdrg oosgdr oosgrd oosrgd oosrdg orodgs orodsg
orogds orogsd orosgd orosdg ordogs ordosg ordgos ordgso ordsgo ordsog orgdos
orgdso orgods orgosd orgsod orgsdo orsdgo orsdog orsgdo orsgod orsogd orsodg
odrogs odrosg odrgos odrgso odrsgo odrsog odorgs odorsg odogrs odogsr odosgr
odosrg odgors odgosr odgros odgrso odgsro odgsor odsogr odsorg odsgor odsgro
odsrgo odsrog ogrdos ogrdso ogrods ogrosd ogrsod ogrsdo ogdros ogdrso ogdors
ogdosr ogdsor ogdsro ogodrs ogodsr ogords ogorsd ogosrd ogosdr ogsdor ogsdro
ogsodr ogsord ogsrod ogsrdo osrdgo osrdog osrgdo osrgod osrogd osrodg osdrgo
osdrog osdgro osdgor osdogr osdorg osgdro osgdor osgrdo osgrod osgord osgodr
osodgr osodrg osogdr osogrd osorgd osordg sordog sordgo sorodg sorogd sorgod
sorgdo sodrog sodrgo sodorg sodogr sodgor sodgro soodrg soodgr soordg soorgd
soogrd soogdr sogdor sogdro sogodr sogord sogrod sogrdo srodog srodgo sroodg
sroogd srogod srogdo srdoog srdogo srdoog srdogo srdgoo srdgoo srodog srodgo
sroodg sroogd srogod srogdo srgdoo srgdoo srgodo srgood srgood srgodo sdroog
sdrogo sdroog sdrogo sdrgoo sdrgoo sdorog sdorgo sdoorg sdoogr sdogor sdogro
sdoorg sdoogr sdorog sdorgo sdogro sdogor sdgoor sdgoro sdgoor sdgoro sdgroo
sdgroo sordog sordgo sorodg sorogd sorgod sorgdo sodrog sodrgo sodorg sodogr
sodgor sodgro soodrg soodgr soordg soorgd soogrd soogdr sogdor sogdro sogodr
sogord sogrod sogrdo sgrdoo sgrdoo sgrodo sgrood sgrood sgrodo sgdroo sgdroo
sgdoro sgdoor sgdoor sgdoro sgodro sgodor sgordo sgorod sgoord sgoodr sgodor
sgodro sgoodr sgoord sgorod sgordo

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