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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: ruemus
cipher variations:
svfnvt twgowu uxhpxv vyiqyw wzjrzx
xaksay ybltbz zcmuca adnvdb beowec
cfpxfd dgqyge ehrzhf fisaig gjtbjh
hkucki ilvdlj jmwemk knxfnl loygom
mpzhpn nqaiqo orbjrp pscksq qtdltr

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: ruemus
Cipher: ifvnfh

Read more ...

 

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: ruemus
Cipher: BAAAA BAABB AABAA ABABB BAABB 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: ruemus
cipher variations:
svfnvtajnljdixvjxnqldhlxyzlfzhgntdnrwpjzpledrxdv
mrzvrfufhtfpctprtzkhxphjtwgowubkomkejywkyormeimy
zamgaihoueosxqkaqmfesyewnsawsgvgiugqduqsualiyqik
uxhpxvclpnlfkzxlzpsnfjnzabnhbjipvfptyrlbrngftzfx
otbxthwhjvhrevrtvbmjzrjlvyiqywdmqomglaymaqtogkoa
bcoickjqwgquzsmcsohguagypucyuixikwisfwsuwcnkaskm
wzjrzxenrpnhmbznbruphlpbcdpjdlkrxhrvatndtpihvbhz
qvdzvjyjlxjtgxtvxdolbtlnxaksayfosqoincaocsvqimqc
deqkemlsyiswbuoeuqjiwciarweawkzkmykuhyuwyepmcumo
ybltbzgptrpjodbpdtwrjnrdefrlfnmtzjtxcvpfvrkjxdjb
sxfbxlalnzlvizvxzfqndvnpzcmucahqusqkpecqeuxskose
fgsmgonuakuydwqgwslkyekctygcymbmoamwjawyagroewoq
adnvdbirvtrlqfdrfvytlptfghtnhpovblvzexrhxtmlzfld
uzhdzncnpbnxkbxzbhspfxprbeowecjswusmrgesgwzumqug
hiuoiqpwcmwafysiyunmagmevaieaodoqcoylcyacitqgyqs
cfpxfdktxvtnshfthxavnrvhijvpjrqxdnxbgztjzvonbhnf
wbjfbpeprdpzmdzbdjurhzrtdgqygeluywuotiguiybwoswi
jkwqksryeoychaukawpociogxckgcqfqseqaneacekvsiasu
ehrzhfmvzxvpujhvjzcxptxjklxrltszfpzdibvlbxqpdjph
ydlhdrgrtfrbofbdflwtjbtvfisaignwaywqvkiwkadyquyk
lmysmutagqaejcwmcyrqekqizemieshsugscpgcegmxukcuw
gjtbjhoxbzxrwljxlbezrvzlmnztnvubhrbfkdxndzsrflrj
afnjftitvhtdqhdfhnyvldvxhkuckipycaysxmkymcfaswam
noauowvciscgleyoeatsgmskbgokgujuwiueriegiozwmewy
ilvdljqzdbztynlzndgbtxbnopbvpxwdjtdhmfzpfbuthntl
chplhvkvxjvfsjfhjpaxnfxzjmwemkraecauzomaoehcuyco
pqcwqyxekueingaqgcvuioumdiqmiwlwykwgtkgikqbyogya
knxfnlsbfdbvapnbpfidvzdpqrdxrzyflvfjohbrhdwvjpvn
ejrnjxmxzlxhulhjlrczphzbloygomtcgecwbqocqgjewaeq
rseysazgmwgkpicsiexwkqwofksokynyamyivmikmsdaqiac
mpzhpnudhfdxcrpdrhkfxbfrstfztbahnxhlqjdtjfyxlrxp
gltplzozbnzjwnjlntebrjbdnqaiqoveigeydsqesilgycgs
tugaucbioyimrkeukgzymsyqhmuqmapacoakxokmoufcskce
orbjrpwfjhfzetrftjmhzdhtuvhbvdcjpzjnslfvlhazntzr
invrnbqbdpblyplnpvgdtldfpscksqxgkigafusgukniaeiu
vwicwedkqakotmgwmibaouasjowsocrceqcmzqmoqwheumeg
qtdltryhljhbgvthvlojbfjvwxjdxfelrblpunhxnjcbpvbt
kpxtpdsdfrdnarnprxifvnfhruemuszimkichwuiwmpkcgkw
xykeygfmscmqvoiyokdcqwculqyuqetegseobsoqsyjgwogi

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: ruemus
Cipher: ehrzhf

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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: ruemus
Cipher: 245451235434

Extended Methods:
Method #1

Plaintext: ruemus
method variations:
wzkrzxbepwecgkubkhmpzgpn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
r u e m u s 
2 5 5 2 5 3 
4 4 1 3 4 4 
They are then read out in rows:
255253441344
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: ruemus
Cipher: wkptlt

Read more ...
Method #3

Plaintext: ruemus
method variations:
yyfxoi yfxoiy fxoiyy
xoiyyf oiyyfx iyyfxo

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: ruemus

all 720 cipher variations:
ruemus ruemsu rueums rueusm ruesum ruesmu rumeus rumesu rumues rumuse rumsue
rumseu ruumes ruumse ruuems ruuesm ruusem ruusme rusmue rusmeu rusume rusuem
ruseum rusemu reumus reumsu reuums reuusm reusum reusmu remuus remusu remuus
remusu remsuu remsuu reumus reumsu reuums reuusm reusum reusmu resmuu resmuu
resumu resuum resuum resumu rmeuus rmeusu rmeuus rmeusu rmesuu rmesuu rmueus
rmuesu rmuues rmuuse rmusue rmuseu rmuues rmuuse rmueus rmuesu rmuseu rmusue
rmsuue rmsueu rmsuue rmsueu rmseuu rmseuu ruemus ruemsu rueums rueusm ruesum
ruesmu rumeus rumesu rumues rumuse rumsue rumseu ruumes ruumse ruuems ruuesm
ruusem ruusme rusmue rusmeu rusume rusuem ruseum rusemu rsemuu rsemuu rseumu
rseuum rseuum rseumu rsmeuu rsmeuu rsmueu rsmuue rsmuue rsmueu rsumeu rsumue
rsuemu rsueum rsuuem rsuume rsumue rsumeu rsuume rsuuem rsueum rsuemu uremus
uremsu ureums ureusm uresum uresmu urmeus urmesu urmues urmuse urmsue urmseu
urumes urumse uruems uruesm urusem urusme ursmue ursmeu ursume ursuem urseum
ursemu uermus uermsu uerums uerusm uersum uersmu uemrus uemrsu uemurs uemusr
uemsur uemsru ueumrs ueumsr ueurms ueursm ueusrm ueusmr uesmur uesmru uesumr
uesurm uesrum uesrmu umerus umersu umeurs umeusr umesur umesru umreus umresu
umrues umruse umrsue umrseu umures umurse umuers umuesr umuser umusre umsrue
umsreu umsure umsuer umseur umseru uuemrs uuemsr uuerms uuersm uuesrm uuesmr
uumers uumesr uumres uumrse uumsre uumser uurmes uurmse uurems uuresm uursem
uursme uusmre uusmer uusrme uusrem uuserm uusemr usemur usemru useumr useurm
userum usermu usmeur usmeru usmuer usmure usmrue usmreu usumer usumre usuemr
usuerm usurem usurme usrmue usrmeu usrume usruem usreum usremu eurmus eurmsu
eurums eurusm eursum eursmu eumrus eumrsu eumurs eumusr eumsur eumsru euumrs
euumsr euurms euursm euusrm euusmr eusmur eusmru eusumr eusurm eusrum eusrmu
erumus erumsu eruums eruusm erusum erusmu ermuus ermusu ermuus ermusu ermsuu
ermsuu erumus erumsu eruums eruusm erusum erusmu ersmuu ersmuu ersumu ersuum
ersuum ersumu emruus emrusu emruus emrusu emrsuu emrsuu emurus emursu emuurs
emuusr emusur emusru emuurs emuusr emurus emursu emusru emusur emsuur emsuru
emsuur emsuru emsruu emsruu eurmus eurmsu eurums eurusm eursum eursmu eumrus
eumrsu eumurs eumusr eumsur eumsru euumrs euumsr euurms euursm euusrm euusmr
eusmur eusmru eusumr eusurm eusrum eusrmu esrmuu esrmuu esrumu esruum esruum
esrumu esmruu esmruu esmuru esmuur esmuur esmuru esumru esumur esurmu esurum
esuurm esuumr esumur esumru esuumr esuurm esurum esurmu muerus muersu mueurs
mueusr muesur muesru mureus muresu murues muruse mursue murseu muures muurse
muuers muuesr muuser muusre musrue musreu musure musuer museur museru meurus
meursu meuurs meuusr meusur meusru meruus merusu meruus merusu mersuu mersuu
meurus meursu meuurs meuusr meusur meusru mesruu mesruu mesuru mesuur mesuur
mesuru mreuus mreusu mreuus mreusu mresuu mresuu mrueus mruesu mruues mruuse
mrusue mruseu mruues mruuse mrueus mruesu mruseu mrusue mrsuue mrsueu mrsuue
mrsueu mrseuu mrseuu muerus muersu mueurs mueusr muesur muesru mureus muresu
murues muruse mursue murseu muures muurse muuers muuesr muuser muusre musrue
musreu musure musuer museur museru mseruu mseruu mseuru mseuur mseuur mseuru
msreuu msreuu msrueu msruue msruue msrueu msureu msurue msueru msueur msuuer
msuure msurue msureu msuure msuuer msueur msueru uuemrs uuemsr uuerms uuersm
uuesrm uuesmr uumers uumesr uumres uumrse uumsre uumser uurmes uurmse uurems
uuresm uursem uursme uusmre uusmer uusrme uusrem uuserm uusemr ueumrs ueumsr
ueurms ueursm ueusrm ueusmr uemurs uemusr uemrus uemrsu uemsru uemsur uermus
uermsu uerums uerusm uersum uersmu uesmru uesmur uesrmu uesrum uesurm uesumr
umeurs umeusr umerus umersu umesru umesur umuers umuesr umures umurse umusre
umuser umrues umruse umreus umresu umrseu umrsue umsure umsuer umsrue umsreu
umseru umseur uremus uremsu ureums ureusm uresum uresmu urmeus urmesu urmues
urmuse urmsue urmseu urumes urumse uruems uruesm urusem urusme ursmue ursmeu
ursume ursuem urseum ursemu usemru usemur usermu userum useurm useumr usmeru
usmeur usmreu usmrue usmure usmuer usrmeu usrmue usremu usreum usruem usrume
usumre usumer usurme usurem usuerm usuemr suemur suemru sueumr sueurm suerum
suermu sumeur sumeru sumuer sumure sumrue sumreu suumer suumre suuemr suuerm
suurem suurme surmue surmeu surume suruem sureum suremu seumur seumru seuumr
seuurm seurum seurmu semuur semuru semuur semuru semruu semruu seumur seumru
seuumr seuurm seurum seurmu sermuu sermuu serumu seruum seruum serumu smeuur
smeuru smeuur smeuru smeruu smeruu smueur smueru smuuer smuure smurue smureu
smuuer smuure smueur smueru smureu smurue smruue smrueu smruue smrueu smreuu
smreuu suemur suemru sueumr sueurm suerum suermu sumeur sumeru sumuer sumure
sumrue sumreu suumer suumre suuemr suuerm suurem suurme surmue surmeu surume
suruem sureum suremu sremuu sremuu sreumu sreuum sreuum sreumu srmeuu srmeuu
srmueu srmuue srmuue srmueu srumeu srumue sruemu srueum sruuem sruume srumue
srumeu sruume sruuem srueum sruemu

Read more ...[1] , [2] , [3]

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