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toryweed

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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: semine
cipher variations:
tfnjof ugokpg vhplqh wiqmri xjrnsj
yksotk zltpul amuqvm bnvrwn cowsxo
dpxtyp eqyuzq frzvar gsawbs htbxct
iucydu jvdzev kweafw lxfbgx mygchy
nzhdiz oaieja pbjfkb qckglc rdlhmd

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: semine
Cipher: hvnrmv

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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: semine
Cipher: BAAAB AABAA ABABB ABAAA ABBAA AABAA

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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: semine
cipher variations:
tfnjofdnlzonnvjpovxdhfodhlfvolrtdlotljzrojvrxhor
fzvxozphtnohzprdopjxptoxugokpgeomapoowkqpwyeigpe
imgwpmsuempumkaspkwsyipsgawypaqiuopiaqsepqkyqupy
vhplqhfpnbqppxlrqxzfjhqfjnhxqntvfnqvnlbtqlxtzjqt
hbxzqbrjvpqjbrtfqrlzrvqzwiqmrigqocrqqymsryagkirg
koiyrouwgorwomcurmyuakruicyarcskwqrkcsugrsmaswra
xjrnsjhrpdsrrzntszbhljshlpjzspvxhpsxpndvsnzvblsv
jdzbsdtlxrsldtvhstnbtxsbyksotkisqetssaoutacimkti
mqkatqwyiqtyqoewtoawcmtwkeacteumystmeuwituocuytc
zltpuljtrfuttbpvubdjnlujnrlburxzjruzrpfxupbxdnux
lfbdufvnztunfvxjuvpdvzudamuqvmkusgvuucqwvcekomvk
osmcvsyaksvasqgyvqcyeovymgcevgwoauvogwykvwqewave
bnvrwnlvthwvvdrxwdflpnwlptndwtzbltwbtrhzwrdzfpwz
nhdfwhxpbvwphxzlwxrfxbwfcowsxomwuixwwesyxegmqoxm
quoexuacmuxcusiaxseagqxaoiegxiyqcwxqiyamxysgycxg
dpxtypnxvjyxxftzyfhnrpynrvpfyvbdnvydvtjbytfbhryb
pjfhyjzrdxyrjzbnyzthzdyheqyuzqoywkzyyguazgiosqzo
swqgzwceowzewukczugciszcqkgizkaseyzskacozauiaezi
frzvarpzxlazzhvbahjptraptxrhaxdfpxafxvldavhdjtad
rlhjalbtfzatlbdpabvjbfajgsawbsqaymbaaiwcbikqusbq
uysibyegqybgywmebwiekubesmikbmcugabumceqbcwkcgbk
htbxctrbzncbbjxdcjlrvtcrvztjczfhrzchzxnfcxjflvcf
tnjlcndvhbcvndfrcdxldhcliucyduscaodcckyedkmswuds
waukdagisadiayogdykgmwdguokmdoewicdwoegsdeymeidm
jvdzevtdbpeddlzfelntxvetxbvlebhjtbejbzphezlhnxeh
vplnepfxjdexpfhtefznfjenkweafwuecqfeemagfmouywfu
ycwmfcikucfkcaqifamioyfiwqmofqgykefyqgiufgaogkfo
lxfbgxvfdrgffnbhgnpvzxgvzdxngdjlvdgldbrjgbnjpzgj
xrnpgrhzlfgzrhjvghbphlgpmygchywgeshggocihoqwayhw
aeyohekmwehmecskhcokqahkysoqhsiamghasikwhicqimhq
nzhdizxhftihhpdjiprxbzixbfzpiflnxfinfdtlidplrbil
ztpritjbnhibtjlxijdrjniroaiejayigujiiqekjqsycajy
cgaqjgmoygjogeumjeqmscjmauqsjukcoijcukmyjkeskojs
pbjfkbzjhvkjjrflkrtzdbkzdhbrkhnpzhkphfvnkfrntdkn
bvrtkvldpjkdvlnzklftlpktqckglcakiwlkksgmlsuaecla
eicslioqailqigwolgsouelocwsulwmeqklewmoalmgumqlu
rdlhmdbljxmllthnmtvbfdmbfjdtmjprbjmrjhxpmhtpvfmp
dxtvmxnfrlmfxnpbmnhvnrmvseminecmkynmmuionuwcgenc
gkeunkqscknskiyqniuqwgnqeyuwnyogsmngyoqcnoiwosnw

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: semine
Cipher: frzvar

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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: semine
Cipher: 345123423351

Extended Methods:
Method #1

Plaintext: semine
method variations:
xkroskcpwtxphubycunzgdhz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s e m i n e 
3 5 2 4 3 5 
4 1 3 2 3 1 
They are then read out in rows:
352435413231
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: semine
Cipher: xrxdhc

Read more ...
Method #3

Plaintext: semine
method variations:
yfsmxl fsmxly smxlyf
mxlyfs xlyfsm lyfsmx

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: semine

all 720 cipher variations:
semine semien semnie semnei semeni semein seimne seimen seinme seinem seienm
seiemn senime seniem senmie senmei senemi seneim seeinm seeimn seenim seenmi
seemni seemin smeine smeien smenie smenei smeeni smeein smiene smieen sminee
sminee smiene smieen smniee smniee smneie smneei smneei smneie smeine smeien
smenie smenei smeeni smeein simene simeen simnee simnee simene simeen siemne
siemen sienme sienem sieenm sieemn sineme sineem sinmee sinmee sineme sineem
sieenm sieemn sienem sienme siemne siemen snmiee snmiee snmeie snmeei snmeei
snmeie snimee snimee snieme snieem snieem snieme sneime sneiem snemie snemei
sneemi sneeim sneiem sneime sneeim sneemi snemei snemie semine semien semnie
semnei semeni semein seimne seimen seinme seinem seienm seiemn senime seniem
senmie senmei senemi seneim seeinm seeimn seenim seenmi seemni seemin esmine
esmien esmnie esmnei esmeni esmein esimne esimen esinme esinem esienm esiemn
esnime esniem esnmie esnmei esnemi esneim eseinm eseimn esenim esenmi esemni
esemin emsine emsien emsnie emsnei emseni emsein emisne emisen eminse emines
emiens emiesn emnise emnies emnsie emnsei emnesi emneis emeins emeisn emenis
emensi emesni emesin eimsne eimsen eimnse eimnes eimens eimesn eismne eismen
eisnme eisnem eisenm eisemn einsme einsem einmse einmes einems einesm eiesnm
eiesmn eiensm eienms eiemns eiemsn enmise enmies enmsie enmsei enmesi enmeis
enimse enimes enisme enisem eniesm eniems ensime ensiem ensmie ensmei ensemi
enseim eneism eneims enesim enesmi enemsi enemis eemins eemisn eemnis eemnsi
eemsni eemsin eeimns eeimsn eeinms eeinsm eeisnm eeismn eenims eenism eenmis
eenmsi eensmi eensim eesinm eesimn eesnim eesnmi eesmni eesmin mesine mesien
mesnie mesnei meseni mesein meisne meisen meinse meines meiens meiesn menise
menies mensie mensei menesi meneis meeins meeisn meenis meensi meesni meesin
mseine mseien msenie msenei mseeni mseein msiene msieen msinee msinee msiene
msieen msniee msniee msneie msneei msneei msneie mseine mseien msenie msenei
mseeni mseein misene miseen misnee misnee misene miseen miesne miesen miense
mienes mieens mieesn minese minees minsee minsee minese minees mieens mieesn
mienes miense miesne miesen mnsiee mnsiee mnseie mnseei mnseei mnseie mnisee
mnisee mniese mniees mniees mniese mneise mneies mnesie mnesei mneesi mneeis
mneies mneise mneeis mneesi mnesei mnesie mesine mesien mesnie mesnei meseni
mesein meisne meisen meinse meines meiens meiesn menise menies mensie mensei
menesi meneis meeins meeisn meenis meensi meesni meesin iemsne iemsen iemnse
iemnes iemens iemesn iesmne iesmen iesnme iesnem iesenm iesemn iensme iensem
ienmse ienmes ienems ienesm ieesnm ieesmn ieensm ieenms ieemns ieemsn imesne
imesen imense imenes imeens imeesn imsene imseen imsnee imsnee imsene imseen
imnsee imnsee imnese imnees imnees imnese imesne imesen imense imenes imeens
imeesn ismene ismeen ismnee ismnee ismene ismeen isemne isemen isenme isenem
iseenm iseemn isneme isneem isnmee isnmee isneme isneem iseenm iseemn isenem
isenme isemne isemen inmsee inmsee inmese inmees inmees inmese insmee insmee
inseme inseem inseem inseme inesme inesem inemse inemes ineems ineesm inesem
inesme ineesm ineems inemes inemse iemsne iemsen iemnse iemnes iemens iemesn
iesmne iesmen iesnme iesnem iesenm iesemn iensme iensem ienmse ienmes ienems
ienesm ieesnm ieesmn ieensm ieenms ieemns ieemsn nemise nemies nemsie nemsei
nemesi nemeis neimse neimes neisme neisem neiesm neiems nesime nesiem nesmie
nesmei nesemi neseim neeism neeims neesim neesmi neemsi neemis nmeise nmeies
nmesie nmesei nmeesi nmeeis nmiese nmiees nmisee nmisee nmiese nmiees nmsiee
nmsiee nmseie nmseei nmseei nmseie nmeise nmeies nmesie nmesei nmeesi nmeeis
nimese nimees nimsee nimsee nimese nimees niemse niemes niesme niesem nieesm
nieems niseme niseem nismee nismee niseme niseem nieesm nieems niesem niesme
niemse niemes nsmiee nsmiee nsmeie nsmeei nsmeei nsmeie nsimee nsimee nsieme
nsieem nsieem nsieme nseime nseiem nsemie nsemei nseemi nseeim nseiem nseime
nseeim nseemi nsemei nsemie nemise nemies nemsie nemsei nemesi nemeis neimse
neimes neisme neisem neiesm neiems nesime nesiem nesmie nesmei nesemi neseim
neeism neeims neesim neesmi neemsi neemis eemins eemisn eemnis eemnsi eemsni
eemsin eeimns eeimsn eeinms eeinsm eeisnm eeismn eenims eenism eenmis eenmsi
eensmi eensim eesinm eesimn eesnim eesnmi eesmni eesmin emeins emeisn emenis
emensi emesni emesin emiens emiesn emines eminse emisne emisen emnies emnise
emneis emnesi emnsei emnsie emsine emsien emsnie emsnei emseni emsein eimens
eimesn eimnes eimnse eimsne eimsen eiemns eiemsn eienms eiensm eiesnm eiesmn
einems einesm einmes einmse einsme einsem eisenm eisemn eisnem eisnme eismne
eismen enmies enmise enmeis enmesi enmsei enmsie enimes enimse eniems eniesm
enisem enisme eneims eneism enemis enemsi enesmi enesim ensiem ensime enseim
ensemi ensmei ensmie esmine esmien esmnie esmnei esmeni esmein esimne esimen
esinme esinem esienm esiemn esnime esniem esnmie esnmei esnemi esneim eseinm
eseimn esenim esenmi esemni esemin

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