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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: menzel
cipher variations:
nfoafm ogpbgn phqcho qirdip rjsejq
sktfkr tlugls umvhmt vnwinu woxjov
xpykpw yqzlqx zramry asbnsz btcota
cudpub dveqvc ewfrwd fxgsxe gyhtyf
hziuzg iajvah jbkwbi kclxcj ldmydk

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: menzel
Cipher: nvmavo

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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: menzel
Cipher: ABABB AABAA ABBAA BABBB AABAA ABABA

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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: menzel
cipher variations:
nfoafmlnoynijvowvehdoudafloslwdtoqtszjomjkxrokrg
vzoizcthoghyrpoepupxocxqogpbgnmopzojkwpxwfiepveb
gmptmxeuprutakpnklysplshwapjaduiphizsqpfqvqypdyr
phqchonpqapklxqyxgjfqwfchnqunyfvqsvublqolmztqmti
xbqkbevjqijatrqgrwrzqezsqirdipoqrbqlmyrzyhkgrxgd
iorvozgwrtwvcmrpmnaurnujycrlcfwkrjkbusrhsxsarfat
rjsejqprscrmnzsazilhsyhejpswpahxsuxwdnsqnobvsovk
zdsmdgxlsklcvtsitytbsgbusktfkrqstdsnoatbajmitzif
kqtxqbiytvyxeotropcwtpwlaetnehymtlmdwutjuzucthcv
tluglsrtuetopbucbknjuajglruyrcjzuwzyfpuspqdxuqxm
bfuofiznumnexvukvavduidwumvhmtsuvfupqcvdclokvbkh
msvzsdkavxazgqvtqreyvryncgvpgjaovnofywvlwbwevjex
vnwinutvwgvqrdwedmplwclintwatelbwybahrwursfzwszo
dhwqhkbpwopgzxwmxcxfwkfywoxjovuwxhwrsexfenqmxdmj
ouxbufmcxzcbisxvstgaxtapeixrilcqxpqhayxnydygxlgz
xpykpwvxyixstfygfornyenkpvycvgndyadcjtywtuhbyubq
fjysjmdryqribzyozezhymhayqzlqxwyzjytugzhgpsozfol
qwzdwhoezbedkuzxuviczvcrgkztkneszrsjcazpafaiznib
zramryxzakzuvhaihqtpagpmrxaexipfacfelvayvwjdawds
hlauloftastkdbaqbgbjaojcasbnszyablavwibjiruqbhqn
sybfyjqgbdgfmwbzwxkebxetimbvmpgubtulecbrchckbpkd
btcotazbcmbwxjckjsvrcirotzcgzkrhcehgnxcaxylfcyfu
jncwnqhvcuvmfdcsdidlcqlecudpubacdncxykdlktwsdjsp
uadhalsidfihoydbyzmgdzgvkodxoriwdvwngedtejemdrmf
dveqvcbdeodyzlemluxtektqvbeibmtjegjipzeczanheahw
lpeypsjxewxohfeufkfnesngewfrwdcefpezamfnmvyuflur
wcfjcnukfhkjqafdaboifbixmqfzqtkyfxypigfvglgoftoh
fxgsxedfgqfabngonwzvgmvsxdgkdovlgilkrbgebcpjgcjy
nrgarulzgyzqjhgwhmhpgupigyhtyfeghrgbcohpoxawhnwt
yehlepwmhjmlschfcdqkhdkzoshbsvmahzarkihxiniqhvqj
hziuzgfhishcdpiqpybxioxuzfimfqxniknmtdigderliela
ptictwnbiabsljiyjojriwrkiajvahgijtideqjrqzcyjpyv
agjngryojlonuejhefsmjfmbqujduxocjbctmkjzkpksjxsl
jbkwbihjkujefrksradzkqzwbhkohszpkmpovfkifgtnkgnc
rvkevypdkcdunlkalqltkytmkclxcjiklvkfgsltsbealrax
cilpitaqlnqpwgljghuolhodswlfwzqeldevomlbmrmulzun
ldmydkjlmwlghtmutcfbmsbydjmqjubrmorqxhmkhivpmipe
txmgxarfmefwpnmcnsnvmavomenzelkmnxmhiunvudgcntcz
eknrkvcsnpsryinlijwqnjqfuynhybsgnfgxqondotownbwp

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: menzel
Cipher: zramry

Read more ...

 

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: menzel
Cipher: 235133555113

Extended Methods:
Method #1

Plaintext: menzel
method variations:
rksekqwpxkpvbucpuagzhuzf

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m e n z e l 
2 5 3 5 5 1 
3 1 3 5 1 3 
They are then read out in rows:
253551313513
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: menzel
Cipher: wxecxl

Read more ...
Method #3

Plaintext: menzel
method variations:
xlxzah lxzahx xzahxl
zahxlx ahxlxz hxlxza

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: menzel

all 720 cipher variations:
menzel menzle menezl menelz menlez menlze meznel meznle mezenl mezeln mezlen
mezlne meeznl meezln meenzl meenlz meelnz meelzn melzen melzne melezn melenz
melnez melnze mnezel mnezle mneezl mneelz mnelez mnelze mnzeel mnzele mnzeel
mnzele mnzlee mnzlee mnezel mnezle mneezl mneelz mnelez mnelze mnlzee mnlzee
mnleze mnleez mnleez mnleze mzneel mznele mzneel mznele mznlee mznlee mzenel
mzenle mzeenl mzeeln mzelen mzelne mzeenl mzeeln mzenel mzenle mzelne mzelen
mzleen mzlene mzleen mzlene mzlnee mzlnee menzel menzle menezl menelz menlez
menlze meznel meznle mezenl mezeln mezlen mezlne meeznl meezln meenzl meenlz
meelnz meelzn melzen melzne melezn melenz melnez melnze mlnzee mlnzee mlneze
mlneez mlneez mlneze mlznee mlznee mlzene mlzeen mlzeen mlzene mlezne mlezen
mlenze mlenez mleenz mleezn mlezen mlezne mleezn mleenz mlenez mlenze emnzel
emnzle emnezl emnelz emnlez emnlze emznel emznle emzenl emzeln emzlen emzlne
emeznl emezln emenzl emenlz emelnz emelzn emlzen emlzne emlezn emlenz emlnez
emlnze enmzel enmzle enmezl enmelz enmlez enmlze enzmel enzmle enzeml enzelm
enzlem enzlme enezml enezlm enemzl enemlz enelmz enelzm enlzem enlzme enlezm
enlemz enlmez enlmze eznmel eznmle ezneml eznelm eznlem eznlme ezmnel ezmnle
ezmenl ezmeln ezmlen ezmlne ezemnl ezemln ezenml ezenlm ezelnm ezelmn ezlmen
ezlmne ezlemn ezlenm ezlnem ezlnme eenzml eenzlm eenmzl eenmlz eenlmz eenlzm
eeznml eeznlm eezmnl eezmln eezlmn eezlnm eemznl eemzln eemnzl eemnlz eemlnz
eemlzn eelzmn eelznm eelmzn eelmnz eelnmz eelnzm elnzem elnzme elnezm elnemz
elnmez elnmze elznem elznme elzenm elzemn elzmen elzmne eleznm elezmn elenzm
elenmz elemnz elemzn elmzen elmzne elmezn elmenz elmnez elmnze nemzel nemzle
nemezl nemelz nemlez nemlze nezmel nezmle nezeml nezelm nezlem nezlme neezml
neezlm neemzl neemlz neelmz neelzm nelzem nelzme nelezm nelemz nelmez nelmze
nmezel nmezle nmeezl nmeelz nmelez nmelze nmzeel nmzele nmzeel nmzele nmzlee
nmzlee nmezel nmezle nmeezl nmeelz nmelez nmelze nmlzee nmlzee nmleze nmleez
nmleez nmleze nzmeel nzmele nzmeel nzmele nzmlee nzmlee nzemel nzemle nzeeml
nzeelm nzelem nzelme nzeeml nzeelm nzemel nzemle nzelme nzelem nzleem nzleme
nzleem nzleme nzlmee nzlmee nemzel nemzle nemezl nemelz nemlez nemlze nezmel
nezmle nezeml nezelm nezlem nezlme neezml neezlm neemzl neemlz neelmz neelzm
nelzem nelzme nelezm nelemz nelmez nelmze nlmzee nlmzee nlmeze nlmeez nlmeez
nlmeze nlzmee nlzmee nlzeme nlzeem nlzeem nlzeme nlezme nlezem nlemze nlemez
nleemz nleezm nlezem nlezme nleezm nleemz nlemez nlemze zenmel zenmle zeneml
zenelm zenlem zenlme zemnel zemnle zemenl zemeln zemlen zemlne zeemnl zeemln
zeenml zeenlm zeelnm zeelmn zelmen zelmne zelemn zelenm zelnem zelnme znemel
znemle zneeml zneelm znelem znelme znmeel znmele znmeel znmele znmlee znmlee
znemel znemle zneeml zneelm znelem znelme znlmee znlmee znleme znleem znleem
znleme zmneel zmnele zmneel zmnele zmnlee zmnlee zmenel zmenle zmeenl zmeeln
zmelen zmelne zmeenl zmeeln zmenel zmenle zmelne zmelen zmleen zmlene zmleen
zmlene zmlnee zmlnee zenmel zenmle zeneml zenelm zenlem zenlme zemnel zemnle
zemenl zemeln zemlen zemlne zeemnl zeemln zeenml zeenlm zeelnm zeelmn zelmen
zelmne zelemn zelenm zelnem zelnme zlnmee zlnmee zlneme zlneem zlneem zlneme
zlmnee zlmnee zlmene zlmeen zlmeen zlmene zlemne zlemen zlenme zlenem zleenm
zleemn zlemen zlemne zleemn zleenm zlenem zlenme eenzml eenzlm eenmzl eenmlz
eenlmz eenlzm eeznml eeznlm eezmnl eezmln eezlmn eezlnm eemznl eemzln eemnzl
eemnlz eemlnz eemlzn eelzmn eelznm eelmzn eelmnz eelnmz eelnzm enezml enezlm
enemzl enemlz enelmz enelzm enzeml enzelm enzmel enzmle enzlme enzlem enmzel
enmzle enmezl enmelz enmlez enmlze enlzme enlzem enlmze enlmez enlemz enlezm
ezneml eznelm eznmel eznmle eznlme eznlem ezenml ezenlm ezemnl ezemln ezelmn
ezelnm ezmenl ezmeln ezmnel ezmnle ezmlne ezmlen ezlemn ezlenm ezlmen ezlmne
ezlnme ezlnem emnzel emnzle emnezl emnelz emnlez emnlze emznel emznle emzenl
emzeln emzlen emzlne emeznl emezln emenzl emenlz emelnz emelzn emlzen emlzne
emlezn emlenz emlnez emlnze elnzme elnzem elnmze elnmez elnemz elnezm elznme
elznem elzmne elzmen elzemn elzenm elmzne elmzen elmnze elmnez elmenz elmezn
elezmn eleznm elemzn elemnz elenmz elenzm lenzem lenzme lenezm lenemz lenmez
lenmze leznem leznme lezenm lezemn lezmen lezmne leeznm leezmn leenzm leenmz
leemnz leemzn lemzen lemzne lemezn lemenz lemnez lemnze lnezem lnezme lneezm
lneemz lnemez lnemze lnzeem lnzeme lnzeem lnzeme lnzmee lnzmee lnezem lnezme
lneezm lneemz lnemez lnemze lnmzee lnmzee lnmeze lnmeez lnmeez lnmeze lzneem
lzneme lzneem lzneme lznmee lznmee lzenem lzenme lzeenm lzeemn lzemen lzemne
lzeenm lzeemn lzenem lzenme lzemne lzemen lzmeen lzmene lzmeen lzmene lzmnee
lzmnee lenzem lenzme lenezm lenemz lenmez lenmze leznem leznme lezenm lezemn
lezmen lezmne leeznm leezmn leenzm leenmz leemnz leemzn lemzen lemzne lemezn
lemenz lemnez lemnze lmnzee lmnzee lmneze lmneez lmneez lmneze lmznee lmznee
lmzene lmzeen lmzeen lmzene lmezne lmezen lmenze lmenez lmeenz lmeezn lmezen
lmezne lmeezn lmeenz lmenez lmenze

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