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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: espera
cipher variations:
ftqfsb gurgtc hvshud iwtive jxujwf
kyvkxg lzwlyh maxmzi nbynaj oczobk
pdapcl qebqdm rfcren sgdsfo thetgp
uifuhq vjgvir wkhwjs xlixkt ymjylu
znkzmv aolanw bpmbox cqncpy drodqz

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: espera
Cipher: vhkviz

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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: espera
Cipher: AABAA BAAAB ABBBA AABAA BAAAA 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: espera
cipher variations:
ftqfsbndunabvnyvibdxcdqblhglybtrktgbjlsjwbrvwreb
zfazmbhpehubpzipcbxjmxkbgurgtcoevobcwozwjceyderc
mihmzcusluhckmtkxcswxsfcagbanciqfivcqajqdcyknylc
hvshudpfwpcdxpaxkdfzefsdnjinadvtmvidlnulydtxytgd
bhcbodjrgjwdrbkredzlozmdiwtiveqgxqdeyqbylegafgte
okjobewunwjemovmzeuyzuhecidcpekshkxesclsfeampane
jxujwfrhyrefzrczmfhbghufplkpcfxvoxkfnpwnafvzavif
djedqfltilyftdmtgfbnqbofkyvkxgsizsfgasdangichivg
qmlqdgywpylgoqxobgwabwjgekfergmujmzguenuhgcorcpg
lzwlyhtjatghbtebohjdijwhrnmrehzxqzmhprypchxbcxkh
flgfshnvknahvfovihdpsdqhmaxmziukbuhicufcpikejkxi
sonsfiayraniqszqdiycdyligmhgtiowlobiwgpwjieqteri
nbynajvlcvijdvgdqjlfklyjtpotgjbzsbojrtarejzdezmj
hnihujpxmpcjxhqxkjfrufsjoczobkwmdwjkewherkmglmzk
uqpuhkcatcpksubsfkaefankiojivkqynqdkyirylkgsvgtk
pdapclxnexklfxifslnhmnalvrqvildbudqltvctglbfgbol
jpkjwlrzorelzjszmlhtwhulqebqdmyofylmgyjgtmoinobm
wsrwjmecvermuwduhmcghcpmkqlkxmsapsfmaktanmiuxivm
rfcrenzpgzmnhzkhunpjopcnxtsxknfdwfsnvxevindhidqn
lrmlyntbqtgnblubonjvyjwnsgdsfoaqhanoialivoqkpqdo
yutylogexgtowyfwjoeijeromsnmzoucruhocmvcpokwzkxo
thetgpbribopjbmjwprlqrepzvuzmphfyhupxzgxkpfjkfsp
ntonapvdsvipdnwdqplxalypuifuhqcsjcpqkcnkxqsmrsfq
awvanqigzivqyahylqgklgtqoupobqwetwjqeoxerqmybmzq
vjgvirdtkdqrldolyrtnstgrbxwborjhajwrzbizmrhlmhur
pvqpcrxfuxkrfpyfsrnzcnarwkhwjseulersmepmzsuotuhs
cyxcpskibkxsacjansimnivsqwrqdsygvylsgqzgtsoadobs
xlixktfvmfstnfqnatvpuvitdzydqtljclytbdkbotjnojwt
rxsretzhwzmthrahutpbepctymjylugwngtuogrobuwqvwju
eazerumkdmzucelcpukopkxusytsfuaixanuisbivuqcfqdu
znkzmvhxohuvphspcvxrwxkvfbafsvnlenavdfmdqvlpqlyv
tzutgvbjybovjtcjwvrdgrevaolanwiypivwqitqdwysxylw
gcbgtwomfobwegnerwmqrmzwuavuhwckzcpwkudkxwsehsfw
bpmboxjzqjwxrjurexztyzmxhdchuxpngpcxfhofsxnrsnax
vbwvixdladqxlvelyxtfitgxcqncpykarkxyskvsfyauzany
iedivyqohqdygipgtyostobywcxwjyemberymwfmzyugjuhy
drodqzlbslyztlwtgzbvabozjfejwzrpirezhjqhuzptupcz
xdyxkzfncfsznxgnazvhkvizesperamctmzaumxuhacwbcpa
kgfkxasqjsfaikrivaquvqdayezylagodgtaoyhobawilwja

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: espera
Cipher: rfcren

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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: espera
Cipher: 513453512411

Extended Methods:
Method #1

Plaintext: espera
method variations:
kxukwfpczpbluheugqznkzmv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
e s p e r a 
5 3 5 5 2 1 
1 4 3 1 4 1 
They are then read out in rows:
535521143141
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: espera
Cipher: pzbqcd

Read more ...
Method #3

Plaintext: espera
method variations:
lyxfdv yxfdvl xfdvly
fdvlyx dvlyxf vlyxfd

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: espera

all 720 cipher variations:
espera espear esprea esprae espare espaer esepra esepar eserpa eserap esearp
eseapr esrepa esreap esrpea esrpae esrape esraep esaerp esaepr esarep esarpe
esapre esaper epsera epsear epsrea epsrae epsare epsaer epesra epesar epersa
eperas epears epeasr epresa epreas eprsea eprsae eprase epraes epaers epaesr
epares eparse epasre epaser eepsra eepsar eeprsa eepras eepars eepasr eespra
eespar eesrpa eesrap eesarp eesapr eerspa eersap eerpsa eerpas eeraps eerasp
eeasrp eeaspr eearsp eearps eeaprs eeapsr erpesa erpeas erpsea erpsae erpase
erpaes erepsa erepas erespa eresap ereasp ereaps ersepa erseap erspea erspae
ersape ersaep eraesp eraeps erasep eraspe erapse erapes eapers eapesr eapres
eaprse eapsre eapser eaeprs eaepsr eaerps eaersp eaesrp eaespr eareps earesp
earpes earpse earspe earsep easerp easepr easrep easrpe easpre easper sepera
sepear seprea seprae separe sepaer seepra seepar seerpa seerap seearp seeapr
serepa sereap serpea serpae serape seraep seaerp seaepr searep searpe seapre
seaper speera speear sperea sperae speare speaer speera speear sperea sperae
speare speaer spreea spreae spreea spreae spraee spraee spaere spaeer sparee
sparee spaere spaeer sepera sepear seprea seprae separe sepaer seepra seepar
seerpa seerap seearp seeapr serepa sereap serpea serpae serape seraep seaerp
seaepr searep searpe seapre seaper srpeea srpeae srpeea srpeae srpaee srpaee
srepea srepae sreepa sreeap sreaep sreape sreepa sreeap srepea srepae sreape
sreaep sraeep sraepe sraeep sraepe srapee srapee sapere sapeer sapree sapree
sapere sapeer saepre saeper saerpe saerep saeerp saeepr sarepe sareep sarpee
sarpee sarepe sareep saeerp saeepr saerep saerpe saepre saeper pseera pseear
pserea pserae pseare pseaer pseera pseear pserea pserae pseare pseaer psreea
psreae psreea psreae psraee psraee psaere psaeer psaree psaree psaere psaeer
pesera pesear pesrea pesrae pesare pesaer peesra peesar peersa peeras peears
peeasr peresa pereas persea persae perase peraes peaers peaesr peares pearse
peasre peaser peesra peesar peersa peeras peears peeasr pesera pesear pesrea
pesrae pesare pesaer persea persae peresa pereas peraes perase peasre peaser
pearse peares peaers peaesr preesa preeas presea presae prease preaes preesa
preeas presea presae prease preaes prseea prseae prseea prseae prsaee prsaee
praese praees prasee prasee praese praees paeers paeesr paeres paerse paesre
paeser paeers paeesr paeres paerse paesre paeser parees parese parees parese
parsee parsee pasere paseer pasree pasree pasere paseer espera espear esprea
esprae espare espaer esepra esepar eserpa eserap esearp eseapr esrepa esreap
esrpea esrpae esrape esraep esaerp esaepr esarep esarpe esapre esaper epsera
epsear epsrea epsrae epsare epsaer epesra epesar epersa eperas epears epeasr
epresa epreas eprsea eprsae eprase epraes epaers epaesr epares eparse epasre
epaser eepsra eepsar eeprsa eepras eepars eepasr eespra eespar eesrpa eesrap
eesarp eesapr eerspa eersap eerpsa eerpas eeraps eerasp eeasrp eeaspr eearsp
eearps eeaprs eeapsr erpesa erpeas erpsea erpsae erpase erpaes erepsa erepas
erespa eresap ereasp ereaps ersepa erseap erspea erspae ersape ersaep eraesp
eraeps erasep eraspe erapse erapes eapers eapesr eapres eaprse eapsre eapser
eaeprs eaepsr eaerps eaersp eaesrp eaespr eareps earesp earpes earpse earspe
earsep easerp easepr easrep easrpe easpre easper rspeea rspeae rspeea rspeae
rspaee rspaee rsepea rsepae rseepa rseeap rseaep rseape rseepa rseeap rsepea
rsepae rseape rseaep rsaeep rsaepe rsaeep rsaepe rsapee rsapee rpseea rpseae
rpseea rpseae rpsaee rpsaee rpesea rpesae rpeesa rpeeas rpeaes rpease rpeesa
rpeeas rpesea rpesae rpease rpeaes rpaees rpaese rpaees rpaese rpasee rpasee
repsea repsae repesa repeas repaes repase respea respae resepa reseap resaep
resape reespa reesap reepsa reepas reeaps reeasp reasep reaspe reaesp reaeps
reapes reapse repesa repeas repsea repsae repase repaes reepsa reepas reespa
reesap reeasp reeaps resepa reseap respea respae resape resaep reaesp reaeps
reasep reaspe reapse reapes rapees rapese rapees rapese rapsee rapsee raepes
raepse raeeps raeesp raesep raespe raeeps raeesp raepes raepse raespe raesep
raseep rasepe raseep rasepe raspee raspee aspere aspeer aspree aspree aspere
aspeer asepre aseper aserpe aserep aseerp aseepr asrepe asreep asrpee asrpee
asrepe asreep aseerp aseepr aserep aserpe asepre aseper apsere apseer apsree
apsree apsere apseer apesre apeser aperse aperes apeers apeesr aprese aprees
aprsee aprsee aprese aprees apeers apeesr aperes aperse apesre apeser aepsre
aepser aeprse aepres aepers aepesr aespre aesper aesrpe aesrep aeserp aesepr
aerspe aersep aerpse aerpes aereps aeresp aeesrp aeespr aeersp aeerps aeeprs
aeepsr arpese arpees arpsee arpsee arpese arpees arepse arepes arespe aresep
areesp areeps arsepe arseep arspee arspee arsepe arseep areesp areeps aresep
arespe arepse arepes aepers aepesr aepres aeprse aepsre aepser aeeprs aeepsr
aeerps aeersp aeesrp aeespr aereps aeresp aerpes aerpse aerspe aersep aeserp
aesepr aesrep aesrpe aespre aesper

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