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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: hancza
cipher variations:
ibodab jcpebc kdqfcd lergde mfshef
ngtifg ohujgh pivkhi qjwlij rkxmjk
slynkl tmzolm unapmn vobqno wpcrop
xqdspq yretqr zsfurs atgvst buhwtu
cvixuv dwjyvw exkzwx fylaxy gzmbyz

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: hancza
Cipher: szmxaz

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: hancza
Cipher: AABBB AAAAA ABBAA AAABA BABBB AAAAA

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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: hancza
cipher variations:
ibodabwbohybkbolwbybopubmbotsbaboxqbcbofmbqbojkb
ebonibsborgbgbovebubozcbjcpebcxcpizclcpmxczcpqvc
ncputcbcpyrcdcpgncrcpklcfcpojctcpshchcpwfcvcpadc
kdqfcdydqjadmdqnydadqrwdodqvudcdqzsdedqhodsdqlmd
gdqpkdudqtididqxgdwdqbedlergdezerkbenerozebersxe
perwvederateferipetermneherqleverujejeryhexercfe
mfshefafslcfofspafcfstyfqfsxwfefsbufgfsjqfufsnof
ifsrmfwfsvkfkfszifyfsdgfngtifgbgtmdgpgtqbgdgtuzg
rgtyxgfgtcvghgtkrgvgtopgjgtsngxgtwlglgtajgzgtehg
ohujghchunehqhurchehuvahshuzyhghudwhihulshwhupqh
khutohyhuxmhmhubkhahufihpivkhidivofirivsdifivwbi
tivazihivexijivmtixivqrilivupizivyninivclibivgji
qjwlijejwpgjsjwtejgjwxcjujwbajijwfyjkjwnujyjwrsj
mjwvqjajwzojojwdmjcjwhkjrkxmjkfkxqhktkxufkhkxydk
vkxcbkjkxgzklkxovkzkxstknkxwrkbkxapkpkxenkdkxilk
slynklglyrilulyvglilyzelwlydclklyhalmlypwlalytul
olyxslclybqlqlyfolelyjmltmzolmhmzsjmvmzwhmjmzafm
xmzedmlmzibmnmzqxmbmzuvmpmzytmdmzcrmrmzgpmfmzknm
unapmninatknwnaxinknabgnynafenmnajcnonaryncnavwn
qnazunenadsnsnahqngnalonvobqnojobuloxobyjolobcho
zobgfonobkdopobszodobwxorobavofobetotobirohobmpo
wpcropkpcvmpypczkpmpcdipapchgpopclepqpctapepcxyp
spcbwpgpcfupupcjspipcnqpxqdspqlqdwnqzqdalqnqdejq
bqdihqpqdmfqrqdubqfqdyzqtqdcxqhqdgvqvqdktqjqdorq
yretqrmrexorarebmrorefkrcrejirqrengrsrevcrgrezar
uredyrirehwrwrelurkrepsrzsfursnsfypsbsfcnspsfgls
dsfkjsrsfohstsfwdshsfabsvsfezsjsfixsxsfmvslsfqts
atgvstotgzqtctgdotqtghmtetglktstgpitutgxetitgbct
wtgfatktgjytytgnwtmtgrutbuhwtupuharuduhepuruhinu
fuhmlutuhqjuvuhyfujuhcduxuhgbuluhkzuzuhoxunuhsvu
cvixuvqvibsvevifqvsvijovgvinmvuvirkvwvizgvkvidev
yvihcvmvilavavipyvovitwvdwjyvwrwjctwfwjgrwtwjkpw
hwjonwvwjslwxwjahwlwjefwzwjidwnwjmbwbwjqzwpwjuxw
exkzwxsxkduxgxkhsxuxklqxixkpoxwxktmxyxkbixmxkfgx
axkjexoxkncxcxkraxqxkvyxfylaxytylevyhylityvylmry
jylqpyxylunyzylcjynylghybylkfypylodydylsbyrylwzy
gzmbyzuzmfwzizmjuzwzmnszkzmrqzyzmvozazmdkzozmhiz
czmlgzqzmpezezmtczszmxazhanczavangxajankvaxanota
lansrazanwpabanelapanijadanmharanqfafanudatanyba

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: hancza
Cipher: unapmn

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: hancza
Cipher: 321133315511

Extended Methods:
Method #1

Plaintext: hancza
method variations:
nfshefslxnklxqcspqcvhxuv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
h a n c z a 
3 1 3 3 5 1 
2 1 3 1 5 1 
They are then read out in rows:
313351213151
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: hancza
Cipher: cnebce

Read more ...
Method #3

Plaintext: hancza
method variations:
blnvel lnvelb nvelbl
velbln elblnv lblnve

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: hancza

all 720 cipher variations:
hancza hancaz hanzca hanzac hanazc hanacz hacnza hacnaz haczna haczan hacazn
hacanz hazcna hazcan haznca haznac hazanc hazacn haaczn haacnz haazcn haaznc
haanzc haancz hnacza hnacaz hnazca hnazac hnaazc hnaacz hncaza hncaaz hnczaa
hnczaa hncaza hncaaz hnzcaa hnzcaa hnzaca hnzaac hnzaac hnzaca hnacza hnacaz
hnazca hnazac hnaazc hnaacz hcnaza hcnaaz hcnzaa hcnzaa hcnaza hcnaaz hcanza
hcanaz hcazna hcazan hcaazn hcaanz hczana hczaan hcznaa hcznaa hczana hczaan
hcaazn hcaanz hcazan hcazna hcanza hcanaz hzncaa hzncaa hznaca hznaac hznaac
hznaca hzcnaa hzcnaa hzcana hzcaan hzcaan hzcana hzacna hzacan hzanca hzanac
hzaanc hzaacn hzacan hzacna hzaacn hzaanc hzanac hzanca hancza hancaz hanzca
hanzac hanazc hanacz hacnza hacnaz haczna haczan hacazn hacanz hazcna hazcan
haznca haznac hazanc hazacn haaczn haacnz haazcn haaznc haanzc haancz ahncza
ahncaz ahnzca ahnzac ahnazc ahnacz ahcnza ahcnaz ahczna ahczan ahcazn ahcanz
ahzcna ahzcan ahznca ahznac ahzanc ahzacn ahaczn ahacnz ahazcn ahaznc ahanzc
ahancz anhcza anhcaz anhzca anhzac anhazc anhacz anchza anchaz anczha anczah
ancazh ancahz anzcha anzcah anzhca anzhac anzahc anzach anaczh anachz anazch
anazhc anahzc anahcz acnhza acnhaz acnzha acnzah acnazh acnahz achnza achnaz
achzna achzan achazn achanz aczhna aczhan acznha acznah aczanh aczahn acahzn
acahnz acazhn acaznh acanzh acanhz azncha azncah aznhca aznhac aznahc aznach
azcnha azcnah azchna azchan azcahn azcanh azhcna azhcan azhnca azhnac azhanc
azhacn azachn azacnh azahcn azahnc azanhc azanch aanczh aanchz aanzch aanzhc
aanhzc aanhcz aacnzh aacnhz aacznh aaczhn aachzn aachnz aazcnh aazchn aaznch
aaznhc aazhnc aazhcn aahczn aahcnz aahzcn aahznc aahnzc aahncz nahcza nahcaz
nahzca nahzac nahazc nahacz nachza nachaz naczha naczah nacazh nacahz nazcha
nazcah nazhca nazhac nazahc nazach naaczh naachz naazch naazhc naahzc naahcz
nhacza nhacaz nhazca nhazac nhaazc nhaacz nhcaza nhcaaz nhczaa nhczaa nhcaza
nhcaaz nhzcaa nhzcaa nhzaca nhzaac nhzaac nhzaca nhacza nhacaz nhazca nhazac
nhaazc nhaacz nchaza nchaaz nchzaa nchzaa nchaza nchaaz ncahza ncahaz ncazha
ncazah ncaazh ncaahz nczaha nczaah nczhaa nczhaa nczaha nczaah ncaazh ncaahz
ncazah ncazha ncahza ncahaz nzhcaa nzhcaa nzhaca nzhaac nzhaac nzhaca nzchaa
nzchaa nzcaha nzcaah nzcaah nzcaha nzacha nzacah nzahca nzahac nzaahc nzaach
nzacah nzacha nzaach nzaahc nzahac nzahca nahcza nahcaz nahzca nahzac nahazc
nahacz nachza nachaz naczha naczah nacazh nacahz nazcha nazcah nazhca nazhac
nazahc nazach naaczh naachz naazch naazhc naahzc naahcz canhza canhaz canzha
canzah canazh canahz cahnza cahnaz cahzna cahzan cahazn cahanz cazhna cazhan
caznha caznah cazanh cazahn caahzn caahnz caazhn caaznh caanzh caanhz cnahza
cnahaz cnazha cnazah cnaazh cnaahz cnhaza cnhaaz cnhzaa cnhzaa cnhaza cnhaaz
cnzhaa cnzhaa cnzaha cnzaah cnzaah cnzaha cnahza cnahaz cnazha cnazah cnaazh
cnaahz chnaza chnaaz chnzaa chnzaa chnaza chnaaz chanza chanaz chazna chazan
chaazn chaanz chzana chzaan chznaa chznaa chzana chzaan chaazn chaanz chazan
chazna chanza chanaz cznhaa cznhaa cznaha cznaah cznaah cznaha czhnaa czhnaa
czhana czhaan czhaan czhana czahna czahan czanha czanah czaanh czaahn czahan
czahna czaahn czaanh czanah czanha canhza canhaz canzha canzah canazh canahz
cahnza cahnaz cahzna cahzan cahazn cahanz cazhna cazhan caznha caznah cazanh
cazahn caahzn caahnz caazhn caaznh caanzh caanhz zancha zancah zanhca zanhac
zanahc zanach zacnha zacnah zachna zachan zacahn zacanh zahcna zahcan zahnca
zahnac zahanc zahacn zaachn zaacnh zaahcn zaahnc zaanhc zaanch znacha znacah
znahca znahac znaahc znaach zncaha zncaah znchaa znchaa zncaha zncaah znhcaa
znhcaa znhaca znhaac znhaac znhaca znacha znacah znahca znahac znaahc znaach
zcnaha zcnaah zcnhaa zcnhaa zcnaha zcnaah zcanha zcanah zcahna zcahan zcaahn
zcaanh zchana zchaan zchnaa zchnaa zchana zchaan zcaahn zcaanh zcahan zcahna
zcanha zcanah zhncaa zhncaa zhnaca zhnaac zhnaac zhnaca zhcnaa zhcnaa zhcana
zhcaan zhcaan zhcana zhacna zhacan zhanca zhanac zhaanc zhaacn zhacan zhacna
zhaacn zhaanc zhanac zhanca zancha zancah zanhca zanhac zanahc zanach zacnha
zacnah zachna zachan zacahn zacanh zahcna zahcan zahnca zahnac zahanc zahacn
zaachn zaacnh zaahcn zaahnc zaanhc zaanch aanczh aanchz aanzch aanzhc aanhzc
aanhcz aacnzh aacnhz aacznh aaczhn aachzn aachnz aazcnh aazchn aaznch aaznhc
aazhnc aazhcn aahczn aahcnz aahzcn aahznc aahnzc aahncz anaczh anachz anazch
anazhc anahzc anahcz ancazh ancahz anczah anczha anchza anchaz anzcah anzcha
anzach anzahc anzhac anzhca anhcza anhcaz anhzca anhzac anhazc anhacz acnazh
acnahz acnzah acnzha acnhza acnhaz acanzh acanhz acaznh acazhn acahzn acahnz
aczanh aczahn acznah acznha aczhna aczhan achazn achanz achzan achzna achnza
achnaz azncah azncha aznach aznahc aznhac aznhca azcnah azcnha azcanh azcahn
azchan azchna azacnh azachn azanch azanhc azahnc azahcn azhcan azhcna azhacn
azhanc azhnac azhnca ahncza ahncaz ahnzca ahnzac ahnazc ahnacz ahcnza ahcnaz
ahczna ahczan ahcazn ahcanz ahzcna ahzcan ahznca ahznac ahzanc ahzacn ahaczn
ahacnz ahazcn ahaznc ahanzc ahancz

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

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