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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: mangan
cipher variations:
nbohbo ocpicp pdqjdq qerker rfslfs
sgtmgt thunhu uivoiv vjwpjw wkxqkx
xlyrly ymzsmz znatna aobuob bpcvpc
cqdwqd drexre esfysf ftgztg guhauh
hvibvi iwjcwj jxkdxk kyleyl lzmfzm

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: mangan
Cipher: nzmtzm

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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: mangan
Cipher: ABABB AAAAA ABBAA AABBA AAAAA ABBAA

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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: mangan
cipher variations:
nbohbolbotbojbofbohborbofbodbodbopbozbonboxbozbo
vbolbotboxborbojbopbovboocpicpmcpucpkcpgcpicpscp
gcpecpecpqcpacpocpycpacpwcpmcpucpycpscpkcpqcpwcp
pdqjdqndqvdqldqhdqjdqtdqhdqfdqfdqrdqbdqpdqzdqbdq
xdqndqvdqzdqtdqldqrdqxdqqerkeroerwermerierkeruer
iergergersercerqeraerceryeroerweraeruermerseryer
rfslfspfsxfsnfsjfslfsvfsjfshfshfstfsdfsrfsbfsdfs
zfspfsxfsbfsvfsnfstfszfssgtmgtqgtygtogtkgtmgtwgt
kgtigtigtugtegtsgtcgtegtagtqgtygtcgtwgtogtugtagt
thunhurhuzhuphulhunhuxhulhujhujhuvhufhuthudhufhu
bhurhuzhudhuxhuphuvhubhuuivoivsivaivqivmivoivyiv
mivkivkivwivgivuiveivgivcivsivaiveivyivqivwivciv
vjwpjwtjwbjwrjwnjwpjwzjwnjwljwljwxjwhjwvjwfjwhjw
djwtjwbjwfjwzjwrjwxjwdjwwkxqkxukxckxskxokxqkxakx
okxmkxmkxykxikxwkxgkxikxekxukxckxgkxakxskxykxekx
xlyrlyvlydlytlyplyrlyblyplynlynlyzlyjlyxlyhlyjly
flyvlydlyhlyblytlyzlyflyymzsmzwmzemzumzqmzsmzcmz
qmzomzomzamzkmzymzimzkmzgmzwmzemzimzcmzumzamzgmz
znatnaxnafnavnarnatnadnarnapnapnabnalnaznajnalna
hnaxnafnajnadnavnabnahnaaobuobyobgobwobsobuobeob
sobqobqobcobmobaobkobmobiobyobgobkobeobwobcobiob
bpcvpczpchpcxpctpcvpcfpctpcrpcrpcdpcnpcbpclpcnpc
jpczpchpclpcfpcxpcdpcjpccqdwqdaqdiqdyqduqdwqdgqd
uqdsqdsqdeqdoqdcqdmqdoqdkqdaqdiqdmqdgqdyqdeqdkqd
drexrebrejrezrevrexrehrevretretrefrepredrenrepre
lrebrejrenrehrezrefrelreesfysfcsfksfasfwsfysfisf
wsfusfusfgsfqsfesfosfqsfmsfcsfksfosfisfasfgsfmsf
ftgztgdtgltgbtgxtgztgjtgxtgvtgvtghtgrtgftgptgrtg
ntgdtgltgptgjtgbtghtgntgguhauheuhmuhcuhyuhauhkuh
yuhwuhwuhiuhsuhguhquhsuhouheuhmuhquhkuhcuhiuhouh
hvibvifvinvidvizvibvilvizvixvixvijvitvihvirvitvi
pvifvinvirvilvidvijvipviiwjcwjgwjowjewjawjcwjmwj
awjywjywjkwjuwjiwjswjuwjqwjgwjowjswjmwjewjkwjqwj
jxkdxkhxkpxkfxkbxkdxknxkbxkzxkzxklxkvxkjxktxkvxk
rxkhxkpxktxknxkfxklxkrxkkyleyliylqylgylcyleyloyl
cylaylaylmylwylkyluylwylsyliylqyluyloylgylmylsyl
lzmfzmjzmrzmhzmdzmfzmpzmdzmbzmbzmnzmxzmlzmvzmxzm
tzmjzmrzmvzmpzmhzmnzmtzmmangankansanianeanganqan
eancancanoanyanmanwanyanuankansanwanqanianoanuan

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: mangan
Cipher: znatna

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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: mangan
Cipher: 231133221133

Extended Methods:
Method #1

Plaintext: mangan
method variations:
rfsmfswlxrlxbqcwqcgvhbvh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m a n g a n 
2 1 3 2 1 3 
3 1 3 2 1 3 
They are then read out in rows:
213213313213
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: mangan
Cipher: bhlchl

Read more ...
Method #3

Plaintext: mangan
method variations:
clhblh lhblhc hblhcl
blhclh lhclhb hclhbl

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: mangan

all 720 cipher variations:
mangan mangna managn manang mannag mannga magnan magnna magann magann magnan
magnna maagnn maagnn maangn maanng maanng maangn mangan mangna managn manang
mannag mannga mnagan mnagna mnaagn mnaang mnanag mnanga mngaan mngana mngaan
mngana mngnaa mngnaa mnagan mnagna mnaagn mnaang mnanag mnanga mnngaa mnngaa
mnnaga mnnaag mnnaag mnnaga mgnaan mgnana mgnaan mgnana mgnnaa mgnnaa mganan
mganna mgaann mgaann mganan mganna mgaann mgaann mganan mganna mganna mganan
mgnaan mgnana mgnaan mgnana mgnnaa mgnnaa mangan mangna managn manang mannag
mannga magnan magnna magann magann magnan magnna maagnn maagnn maangn maanng
maanng maangn mangan mangna managn manang mannag mannga mnngaa mnngaa mnnaga
mnnaag mnnaag mnnaga mngnaa mngnaa mngana mngaan mngaan mngana mnagna mnagan
mnanga mnanag mnaang mnaagn mnagan mnagna mnaagn mnaang mnanag mnanga amngan
amngna amnagn amnang amnnag amnnga amgnan amgnna amgann amgann amgnan amgnna
amagnn amagnn amangn amanng amanng amangn amngan amngna amnagn amnang amnnag
amnnga anmgan anmgna anmagn anmang anmnag anmnga angman angmna angamn anganm
angnam angnma anagmn anagnm anamgn anamng ananmg anangm anngam anngma annagm
annamg annmag annmga agnman agnmna agnamn agnanm agnnam agnnma agmnan agmnna
agmann agmann agmnan agmnna agamnn agamnn aganmn agannm agannm aganmn agnman
agnmna agnamn agnanm agnnam agnnma aangmn aangnm aanmgn aanmng aannmg aanngm
aagnmn aagnnm aagmnn aagmnn aagnmn aagnnm aamgnn aamgnn aamngn aamnng aamnng
aamngn aangmn aangnm aanmgn aanmng aannmg aanngm anngam anngma annagm annamg
annmag annmga angnam angnma anganm angamn angman angmna anagnm anagmn anangm
ananmg anamng anamgn anmgan anmgna anmagn anmang anmnag anmnga namgan namgna
namagn namang namnag namnga nagman nagmna nagamn naganm nagnam nagnma naagmn
naagnm naamgn naamng naanmg naangm nangam nangma nanagm nanamg nanmag nanmga
nmagan nmagna nmaagn nmaang nmanag nmanga nmgaan nmgana nmgaan nmgana nmgnaa
nmgnaa nmagan nmagna nmaagn nmaang nmanag nmanga nmngaa nmngaa nmnaga nmnaag
nmnaag nmnaga ngmaan ngmana ngmaan ngmana ngmnaa ngmnaa ngaman ngamna ngaamn
ngaanm nganam nganma ngaamn ngaanm ngaman ngamna nganma nganam ngnaam ngnama
ngnaam ngnama ngnmaa ngnmaa namgan namgna namagn namang namnag namnga nagman
nagmna nagamn naganm nagnam nagnma naagmn naagnm naamgn naamng naanmg naangm
nangam nangma nanagm nanamg nanmag nanmga nnmgaa nnmgaa nnmaga nnmaag nnmaag
nnmaga nngmaa nngmaa nngama nngaam nngaam nngama nnagma nnagam nnamga nnamag
nnaamg nnaagm nnagam nnagma nnaagm nnaamg nnamag nnamga ganman ganmna ganamn
gananm gannam gannma gamnan gamnna gamann gamann gamnan gamnna gaamnn gaamnn
gaanmn gaannm gaannm gaanmn ganman ganmna ganamn gananm gannam gannma gnaman
gnamna gnaamn gnaanm gnanam gnanma gnmaan gnmana gnmaan gnmana gnmnaa gnmnaa
gnaman gnamna gnaamn gnaanm gnanam gnanma gnnmaa gnnmaa gnnama gnnaam gnnaam
gnnama gmnaan gmnana gmnaan gmnana gmnnaa gmnnaa gmanan gmanna gmaann gmaann
gmanan gmanna gmaann gmaann gmanan gmanna gmanna gmanan gmnaan gmnana gmnaan
gmnana gmnnaa gmnnaa ganman ganmna ganamn gananm gannam gannma gamnan gamnna
gamann gamann gamnan gamnna gaamnn gaamnn gaanmn gaannm gaannm gaanmn ganman
ganmna ganamn gananm gannam gannma gnnmaa gnnmaa gnnama gnnaam gnnaam gnnama
gnmnaa gnmnaa gnmana gnmaan gnmaan gnmana gnamna gnaman gnanma gnanam gnaanm
gnaamn gnaman gnamna gnaamn gnaanm gnanam gnanma aangmn aangnm aanmgn aanmng
aannmg aanngm aagnmn aagnnm aagmnn aagmnn aagnmn aagnnm aamgnn aamgnn aamngn
aamnng aamnng aamngn aangmn aangnm aanmgn aanmng aannmg aanngm anagmn anagnm
anamgn anamng ananmg anangm angamn anganm angman angmna angnma angnam anmgan
anmgna anmagn anmang anmnag anmnga anngma anngam annmga annmag annamg annagm
agnamn agnanm agnman agnmna agnnma agnnam aganmn agannm agamnn agamnn aganmn
agannm agmann agmann agmnan agmnna agmnna agmnan agnamn agnanm agnman agnmna
agnnma agnnam amngan amngna amnagn amnang amnnag amnnga amgnan amgnna amgann
amgann amgnan amgnna amagnn amagnn amangn amanng amanng amangn amngan amngna
amnagn amnang amnnag amnnga anngma anngam annmga annmag annamg annagm angnma
angnam angmna angman angamn anganm anmgna anmgan anmnga anmnag anmang anmagn
anagmn anagnm anamgn anamng ananmg anangm nangam nangma nanagm nanamg nanmag
nanmga nagnam nagnma naganm nagamn nagman nagmna naagnm naagmn naangm naanmg
naamng naamgn namgan namgna namagn namang namnag namnga nnagam nnagma nnaagm
nnaamg nnamag nnamga nngaam nngama nngaam nngama nngmaa nngmaa nnagam nnagma
nnaagm nnaamg nnamag nnamga nnmgaa nnmgaa nnmaga nnmaag nnmaag nnmaga ngnaam
ngnama ngnaam ngnama ngnmaa ngnmaa nganam nganma ngaanm ngaamn ngaman ngamna
ngaanm ngaamn nganam nganma ngamna ngaman ngmaan ngmana ngmaan ngmana ngmnaa
ngmnaa nangam nangma nanagm nanamg nanmag nanmga nagnam nagnma naganm nagamn
nagman nagmna naagnm naagmn naangm naanmg naamng naamgn namgan namgna namagn
namang namnag namnga nmngaa nmngaa nmnaga nmnaag nmnaag nmnaga nmgnaa nmgnaa
nmgana nmgaan nmgaan nmgana nmagna nmagan nmanga nmanag nmaang nmaagn nmagan
nmagna nmaagn nmaang nmanag nmanga

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

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