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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: annive
cipher variations:
boojwf cppkxg dqqlyh errmzi fssnaj
gttobk huupcl ivvqdm jwwren kxxsfo
lyytgp mzzuhq naavir obbwjs pccxkt
qddylu reezmv sffanw tggbox uhhcpy
viidqz wjjera xkkfsb yllgtc zmmhud

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: annive
Cipher: zmmrev

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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: annive
Cipher: AAAAA ABBAA ABBAA ABAAA BBBAB 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: annive
cipher variations:
boojwfboozmnboopcvboofsdboovilboolytboorejboohur
booxkzboonahboodqpbootgxcppkxgcppanocppqdwcppgte
cppwjmcppmzucppsfkcppivscppylacppobicpperqcppuhy
dqqlyhdqqbopdqqrexdqqhufdqqxkndqqnavdqqtgldqqjwt
dqqzmbdqqpcjdqqfsrdqqvizerrmzierrcpqerrsfyerrivg
erryloerrobwerruhmerrkxuerrancerrqdkerrgtserrwja
fssnajfssdqrfsstgzfssjwhfsszmpfsspcxfssvinfsslyv
fssbodfssrelfsshutfssxkbgttobkgttersgttuhagttkxi
gttanqgttqdygttwjogttmzwgttcpegttsfmgttivugttylc
huupclhuufsthuuvibhuulyjhuuborhuurezhuuxkphuunax
huudqfhuutgnhuujwvhuuzmdivvqdmivvgtuivvwjcivvmzk
ivvcpsivvsfaivvylqivvobyivvergivvuhoivvkxwivvane
jwwrenjwwhuvjwwxkdjwwnaljwwdqtjwwtgbjwwzmrjwwpcz
jwwfshjwwvipjwwlyxjwwbofkxxsfokxxivwkxxylekxxobm
kxxerukxxuhckxxanskxxqdakxxgtikxxwjqkxxmzykxxcpg
lyytgplyyjwxlyyzmflyypcnlyyfsvlyyvidlyybotlyyreb
lyyhujlyyxkrlyynazlyydqhmzzuhqmzzkxymzzangmzzqdo
mzzgtwmzzwjemzzcpumzzsfcmzzivkmzzylsmzzobamzzeri
naavirnaalyznaabohnaarepnaahuxnaaxkfnaadqvnaatgd
naajwlnaazmtnaapcbnaafsjobbwjsobbmzaobbcpiobbsfq
obbivyobbylgobberwobbuheobbkxmobbanuobbqdcobbgtk
pccxktpccnabpccdqjpcctgrpccjwzpcczmhpccfsxpccvif
pcclynpccbovpccredpcchulqddyluqddobcqdderkqdduhs
qddkxaqddaniqddgtyqddwjgqddmzoqddcpwqddsfeqddivm
reezmvreepcdreefslreevitreelybreebojreehuzreexkh
reenapreedqxreetgfreejwnsffanwsffqdesffgtmsffwju
sffmzcsffcpksffivasffylisffobqsfferysffuhgsffkxo
tggboxtggreftgghuntggxkvtggnadtggdqltggjwbtggzmj
tggpcrtggfsztggvihtgglypuhhcpyuhhsfguhhivouhhylw
uhhobeuhhermuhhkxcuhhankuhhqdsuhhgtauhhwjiuhhmzq
viidqzviitghviijwpviizmxviipcfviifsnviilydviibol
viiretviihubviixkjviinarwjjerawjjuhiwjjkxqwjjany
wjjqdgwjjgtowjjmzewjjcpmwjjsfuwjjivcwjjylkwjjobs
xkkfsbxkkvijxkklyrxkkbozxkkrehxkkhupxkknafxkkdqn
xkktgvxkkjwdxkkzmlxkkpctyllgtcyllwjkyllmzsyllcpa
yllsfiyllivqyllobgylleroylluhwyllkxeyllanmyllqdu
zmmhudzmmxklzmmnatzmmdqbzmmtgjzmmjwrzmmpchzmmfsp
zmmvixzmmlyfzmmbonzmmrevanniveannylmannobuannerc
annuhkannkxsannqdianngtqannwjyannmzganncpoannsfw

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: annive
Cipher: naavir

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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: annive
Cipher: 113333421551

Extended Methods:
Method #1

Plaintext: annive
method variations:
fssoaklxxtfpqccyluvhhdqz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
a n n i v e 
1 3 3 4 1 5 
1 3 3 2 5 1 
They are then read out in rows:
133415133251
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: annive
Cipher: lsvlhe

Read more ...
Method #3

Plaintext: annive
method variations:
lnsbza nsbzal sbzaln
bzalns zalnsb alnsbz

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: annive

all 720 cipher variations:
annive anniev annvie annvei annevi anneiv aninve aninev anivne aniven anievn
anienv anvine anvien anvnie anvnei anveni anvein aneivn aneinv anevin anevni
anenvi aneniv annive anniev annvie annvei annevi anneiv aninve aninev anivne
aniven anievn anienv anvine anvien anvnie anvnei anveni anvein aneivn aneinv
anevin anevni anenvi aneniv ainnve ainnev ainvne ainven ainevn ainenv ainnve
ainnev ainvne ainven ainevn ainenv aivnne aivnen aivnne aivnen aivenn aivenn
aienvn aiennv aievnn aievnn aienvn aiennv avnine avnien avnnie avnnei avneni
avnein avinne avinen avinne avinen avienn avienn avnine avnien avnnie avnnei
avneni avnein aveinn aveinn avenin avenni avenni avenin aenivn aeninv aenvin
aenvni aennvi aenniv aeinvn aeinnv aeivnn aeivnn aeinvn aeinnv aevinn aevinn
aevnin aevnni aevnni aevnin aenivn aeninv aenvin aenvni aennvi aenniv nanive
naniev nanvie nanvei nanevi naneiv nainve nainev naivne naiven naievn naienv
navine navien navnie navnei naveni navein naeivn naeinv naevin naevni naenvi
naeniv nnaive nnaiev nnavie nnavei nnaevi nnaeiv nniave nniaev nnivae nnivea
nnieva nnieav nnviae nnviea nnvaie nnvaei nnveai nnveia nneiva nneiav nnevia
nnevai nneavi nneaiv ninave ninaev ninvae ninvea nineva nineav nianve nianev
niavne niaven niaevn niaenv nivane nivaen nivnae nivnea nivena nivean nieavn
nieanv nievan nievna nienva nienav nvniae nvniea nvnaie nvnaei nvneai nvneia
nvinae nvinea nviane nviaen nviean nviena nvaine nvaien nvanie nvanei nvaeni
nvaein nveian nveina nveain nveani nvenai nvenia neniva neniav nenvia nenvai
nenavi nenaiv neinva neinav neivna neivan neiavn neianv nevina nevian nevnia
nevnai nevani nevain neaivn neainv neavin neavni neanvi neaniv nnaive nnaiev
nnavie nnavei nnaevi nnaeiv nniave nniaev nnivae nnivea nnieva nnieav nnviae
nnviea nnvaie nnvaei nnveai nnveia nneiva nneiav nnevia nnevai nneavi nneaiv
nanive naniev nanvie nanvei nanevi naneiv nainve nainev naivne naiven naievn
naienv navine navien navnie navnei naveni navein naeivn naeinv naevin naevni
naenvi naeniv nianve nianev niavne niaven niaevn niaenv ninave ninaev ninvae
ninvea nineva nineav nivnae nivnea nivane nivaen nivean nivena nienva nienav
nievna nievan nieavn nieanv nvaine nvaien nvanie nvanei nvaeni nvaein nviane
nviaen nvinae nvinea nviena nviean nvniae nvniea nvnaie nvnaei nvneai nvneia
nveina nveian nvenia nvenai nveani nveain neaivn neainv neavin neavni neanvi
neaniv neiavn neianv neivan neivna neinva neinav nevian nevina nevain nevani
nevnai nevnia neniva neniav nenvia nenvai nenavi nenaiv innave innaev innvae
innvea inneva inneav inanve inanev inavne inaven inaevn inaenv invane invaen
invnae invnea invena invean ineavn ineanv inevan inevna inenva inenav innave
innaev innvae innvea inneva inneav inanve inanev inavne inaven inaevn inaenv
invane invaen invnae invnea invena invean ineavn ineanv inevan inevna inenva
inenav iannve iannev ianvne ianven ianevn ianenv iannve iannev ianvne ianven
ianevn ianenv iavnne iavnen iavnne iavnen iavenn iavenn iaenvn iaennv iaevnn
iaevnn iaenvn iaennv ivnane ivnaen ivnnae ivnnea ivnena ivnean ivanne ivanen
ivanne ivanen ivaenn ivaenn ivnane ivnaen ivnnae ivnnea ivnena ivnean iveann
iveann ivenan ivenna ivenna ivenan ienavn ienanv ienvan ienvna iennva iennav
ieanvn ieannv ieavnn ieavnn ieanvn ieannv ievann ievann ievnan ievnna ievnna
ievnan ienavn ienanv ienvan ienvna iennva iennav vnniae vnniea vnnaie vnnaei
vnneai vnneia vninae vninea vniane vniaen vniean vniena vnaine vnaien vnanie
vnanei vnaeni vnaein vneian vneina vneain vneani vnenai vnenia vnniae vnniea
vnnaie vnnaei vnneai vnneia vninae vninea vniane vniaen vniean vniena vnaine
vnaien vnanie vnanei vnaeni vnaein vneian vneina vneain vneani vnenai vnenia
vinnae vinnea vinane vinaen vinean vinena vinnae vinnea vinane vinaen vinean
vinena vianne vianen vianne vianen viaenn viaenn vienan vienna vieann vieann
vienan vienna vanine vanien vannie vannei vaneni vanein vainne vainen vainne
vainen vaienn vaienn vanine vanien vannie vannei vaneni vanein vaeinn vaeinn
vaenin vaenni vaenni vaenin venian venina venain venani vennai vennia veinan
veinna veiann veiann veinan veinna veainn veainn veanin veanni veanni veanin
venian venina venain venani vennai vennia enniva enniav ennvia ennvai ennavi
ennaiv eninva eninav enivna enivan eniavn enianv envina envian envnia envnai
envani envain enaivn enainv enavin enavni enanvi enaniv enniva enniav ennvia
ennvai ennavi ennaiv eninva eninav enivna enivan eniavn enianv envina envian
envnia envnai envani envain enaivn enainv enavin enavni enanvi enaniv einnva
einnav einvna einvan einavn einanv einnva einnav einvna einvan einavn einanv
eivnna eivnan eivnna eivnan eivann eivann eianvn eiannv eiavnn eiavnn eianvn
eiannv evnina evnian evnnia evnnai evnani evnain evinna evinan evinna evinan
eviann eviann evnina evnian evnnia evnnai evnani evnain evainn evainn evanin
evanni evanni evanin eanivn eaninv eanvin eanvni eannvi eanniv eainvn eainnv
eaivnn eaivnn eainvn eainnv eavinn eavinn eavnin eavnni eavnni eavnin eanivn
eaninv eanvin eanvni eannvi eanniv

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