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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: attles
cipher variations:
buumft cvvngu dwwohv exxpiw fyyqjx
gzzrky haaslz ibbtma jccunb kddvoc
leewpd mffxqe nggyrf ohhzsg piiath
qjjbui rkkcvj slldwk tmmexl unnfym
voogzn wpphao xqqibp yrrjcq zsskdr

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: attles
Cipher: zggovh

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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: attles
Cipher: AAAAA BAABA BAABA ABABA AABAA 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: attles
cipher variations:
buumftbggindbssevnbeeadxbqqwlhbccstrbaakjlbmmgrv
byyczfbkkyhpbwwupzbiiqxjcvvnguchhjoecttfwocffbey
crrxmicddtuscbblkmcnnhswczzdagcllziqcxxvqacjjryk
dwwohvdiikpfduugxpdggcfzdssynjdeeuvtdccmlndooitx
daaebhdmmajrdyywrbdkkszlexxpiwejjlqgevvhyqehhdga
ettzokeffvwueddnmoeppjuyebbfciennbksezzxscelltam
fyyqjxfkkmrhfwwizrfiiehbfuuaplfggwxvfeeonpfqqkvz
fccgdjfoocltfaaytdfmmubngzzrkygllnsigxxjasgjjfic
gvvbqmghhxywgffpoqgrrlwagddhekgppdmugbbzuegnnvco
haaslzhmmotjhyykbthkkgjdhwwcrnhiiyzxhggqprhssmxb
heeiflhqqenvhccavfhoowdpibbtmainnpukizzlcuillhke
ixxdsoijjzayihhrqsittnyciffjgmirrfowiddbwgippxeq
jccunbjooqvljaamdvjmmilfjyyetpjkkabzjiisrtjuuozd
jggkhnjssgpxjeecxhjqqyfrkddvockpprwmkbbnewknnjmg
kzzfuqkllbcakjjtsukvvpaekhhlioktthqykffdyikrrzgs
leewpdlqqsxnlccofxlooknhlaagvrlmmcdblkkutvlwwqbf
liimjpluuirzlggezjlssahtmffxqemrrtyomddpgympploi
mbbhwsmnndecmllvuwmxxrcgmjjnkqmvvjsamhhfakmttbiu
nggyrfnssuzpneeqhznqqmpjnccixtnooefdnmmwvxnyysdh
nkkolrnwwktbniigblnuucjvohhzsgottvaqoffriaorrnqk
oddjyuoppfgeonnxwyozzteiollpmsoxxlucojjhcmovvdkw
piiathpuuwbrpggsjbpssorlpeekzvpqqghfpooyxzpaaufj
pmmqntpyymvdpkkidnpwwelxqjjbuiqvvxcsqhhtkcqttpsm
qfflawqrrhigqppzyaqbbvgkqnnrouqzznweqlljeoqxxfmy
rkkcvjrwwydtriiuldruuqtnrggmbxrssijhrqqazbrccwhl
roospvraaoxfrmmkfpryygnzslldwksxxzeusjjvmesvvruo
shhncysttjkisrrbacsddximspptqwsbbpygsnnlgqszzhoa
tmmexltyyafvtkkwnftwwsvptiiodztuukljtsscbdteeyjn
tqqurxtccqzhtoomhrtaaipbunnfymuzzbgwullxoguxxtwq
ujjpeauvvlmkuttdceuffzkourrvsyuddraiuppnisubbjqc
voogznvaachxvmmyphvyyuxrvkkqfbvwwmnlvuuedfvggalp
vsswtzveesbjvqqojtvcckrdwpphaowbbdiywnnzqiwzzvys
wllrgcwxxnomwvvfegwhhbmqwttxuawfftckwrrpkuwddlse
xqqibpxccejzxooarjxaawztxmmshdxyyopnxwwgfhxiicnr
xuuyvbxggudlxssqlvxeemtfyrrjcqyddfkayppbskybbxau
ynntieyzzpqoyxxhgiyjjdosyvvzwcyhhvemyttrmwyffnug
zsskdrzeeglbzqqctlzccybvzooujfzaaqrpzyyihjzkkept
zwwaxdziiwfnzuusnxzggovhattlesaffhmcarrdumaddzcw
appvkgabbrsqazzjikallfquaxxbyeajjxgoavvtoyahhpwi

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: attles
Cipher: nggyrf

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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: attles
Cipher: 114444135134

Extended Methods:
Method #1

Plaintext: attles
method variations:
fyyqkxlddvpcqiiauhvoofzn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a t t l e s 
1 4 4 1 5 3 
1 4 4 3 1 4 
They are then read out in rows:
144153144314
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: attles
Cipher: qdpqoq

Read more ...
Method #3

Plaintext: attles
method variations:
qtdxld tdxldq dxldqt
xldqtd ldqtdx dqtdxl

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: attles

all 720 cipher variations:
attles attlse attels attesl attsel attsle atltes atltse atlets atlest atlset
atlste atelts atelst atetls atetsl atestl ateslt atslet atslte atselt atsetl
atstel atstle attles attlse attels attesl attsel attsle atltes atltse atlets
atlest atlset atlste atelts atelst atetls atetsl atestl ateslt atslet atslte
atselt atsetl atstel atstle alttes alttse altets altest altset altste alttes
alttse altets altest altset altste aletts aletst aletts aletst alestt alestt
alstet alstte alsett alsett alstet alstte aetlts aetlst aettls aettsl aetstl
aetslt aeltts aeltst aeltts aeltst aelstt aelstt aetlts aetlst aettls aettsl
aetstl aetslt aesltt aesltt aestlt aesttl aesttl aestlt astlet astlte astelt
astetl asttel asttle asltet asltte aslett aslett asltet asltte aseltt aseltt
asetlt asettl asettl asetlt astlet astlte astelt astetl asttel asttle tatles
tatlse tatels tatesl tatsel tatsle taltes taltse talets talest talset talste
taelts taelst taetls taetsl taestl taeslt taslet taslte taselt tasetl tastel
tastle ttales ttalse ttaels ttaesl ttasel ttasle ttlaes ttlase ttleas ttlesa
ttlsea ttlsae ttelas ttelsa tteals tteasl ttesal ttesla ttslea ttslae ttsela
ttseal ttsael ttsale tltaes tltase tlteas tltesa tltsea tltsae tlates tlatse
tlaets tlaest tlaset tlaste tleats tleast tletas tletsa tlesta tlesat tlsaet
tlsate tlseat tlseta tlstea tlstae tetlas tetlsa tetals tetasl tetsal tetsla
teltas teltsa telats telast telsat telsta tealts tealst teatls teatsl teastl
teaslt teslat teslta tesalt tesatl testal testla tstlea tstlae tstela tsteal
tstael tstale tsltea tsltae tsleta tsleat tslaet tslate tselta tselat tsetla
tsetal tseatl tsealt tsalet tsalte tsaelt tsaetl tsatel tsatle ttales ttalse
ttaels ttaesl ttasel ttasle ttlaes ttlase ttleas ttlesa ttlsea ttlsae ttelas
ttelsa tteals tteasl ttesal ttesla ttslea ttslae ttsela ttseal ttsael ttsale
tatles tatlse tatels tatesl tatsel tatsle taltes taltse talets talest talset
talste taelts taelst taetls taetsl taestl taeslt taslet taslte taselt tasetl
tastel tastle tlates tlatse tlaets tlaest tlaset tlaste tltaes tltase tlteas
tltesa tltsea tltsae tletas tletsa tleats tleast tlesat tlesta tlstea tlstae
tlseta tlseat tlsaet tlsate tealts tealst teatls teatsl teastl teaslt telats
telast teltas teltsa telsta telsat tetlas tetlsa tetals tetasl tetsal tetsla
teslta teslat testla testal tesatl tesalt tsalet tsalte tsaelt tsaetl tsatel
tsatle tslaet tslate tsleat tsleta tsltea tsltae tselat tselta tsealt tseatl
tsetal tsetla tstlea tstlae tstela tsteal tstael tstale lttaes lttase ltteas
lttesa lttsea lttsae ltates ltatse ltaets ltaest ltaset ltaste lteats lteast
ltetas ltetsa ltesta ltesat ltsaet ltsate ltseat ltseta ltstea ltstae lttaes
lttase ltteas lttesa lttsea lttsae ltates ltatse ltaets ltaest ltaset ltaste
lteats lteast ltetas ltetsa ltesta ltesat ltsaet ltsate ltseat ltseta ltstea
ltstae lattes lattse latets latest latset latste lattes lattse latets latest
latset latste laetts laetst laetts laetst laestt laestt lastet lastte lasett
lasett lastet lastte letats letast lettas lettsa letsta letsat leatts leatst
leatts leatst leastt leastt letats letast lettas lettsa letsta letsat lesatt
lesatt lestat lestta lestta lestat lstaet lstate lsteat lsteta lsttea lsttae
lsatet lsatte lsaett lsaett lsatet lsatte lseatt lseatt lsetat lsetta lsetta
lsetat lstaet lstate lsteat lsteta lsttea lsttae ettlas ettlsa ettals ettasl
ettsal ettsla etltas etltsa etlats etlast etlsat etlsta etalts etalst etatls
etatsl etastl etaslt etslat etslta etsalt etsatl etstal etstla ettlas ettlsa
ettals ettasl ettsal ettsla etltas etltsa etlats etlast etlsat etlsta etalts
etalst etatls etatsl etastl etaslt etslat etslta etsalt etsatl etstal etstla
elttas elttsa eltats eltast eltsat eltsta elttas elttsa eltats eltast eltsat
eltsta elatts elatst elatts elatst elastt elastt elstat elstta elsatt elsatt
elstat elstta eatlts eatlst eattls eattsl eatstl eatslt ealtts ealtst ealtts
ealtst ealstt ealstt eatlts eatlst eattls eattsl eatstl eatslt easltt easltt
eastlt easttl easttl eastlt estlat estlta estalt estatl esttal esttla esltat
esltta eslatt eslatt esltat esltta esaltt esaltt esatlt esattl esattl esatlt
estlat estlta estalt estatl esttal esttla sttlea sttlae sttela stteal sttael
sttale stltea stltae stleta stleat stlaet stlate stelta stelat stetla stetal
steatl stealt stalet stalte staelt staetl statel statle sttlea sttlae sttela
stteal sttael sttale stltea stltae stleta stleat stlaet stlate stelta stelat
stetla stetal steatl stealt stalet stalte staelt staetl statel statle slttea
slttae slteta slteat sltaet sltate slttea slttae slteta slteat sltaet sltate
sletta sletat sletta sletat sleatt sleatt slatet slatte slaett slaett slatet
slatte setlta setlat settla settal setatl setalt seltta seltat seltta seltat
selatt selatt setlta setlat settla settal setatl setalt sealtt sealtt seatlt
seattl seattl seatlt satlet satlte satelt satetl sattel sattle saltet saltte
salett salett saltet saltte saeltt saeltt saetlt saettl saettl saetlt satlet
satlte satelt satetl sattel sattle

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