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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: naiman
cipher variations:
objnbo pckocp qdlpdq remqer sfnrfs
tgosgt uhpthu viquiv wjrvjw xkswkx
yltxly zmuymz anvzna bowaob cpxbpc
dqycqd erzdre fsaesf gtbftg hucguh
ivdhvi jweiwj kxfjxk lygkyl mzhlzm

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: naiman
Cipher: mzrnzm

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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: naiman
Cipher: ABBAA AAAAA ABAAA ABABB 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: naiman
cipher variations:
objnboobzlboobpjboobfhboobvfboobldboobrzboobhxbo
obxvboobntboobdrboobtpbopckocppcamcppcqkcppcgicp
pcwgcppcmecppcsacppciycppcywcppcoucppcescppcuqcp
qdlpdqqdbndqqdrldqqdhjdqqdxhdqqdnfdqqdtbdqqdjzdq
qdzxdqqdpvdqqdftdqqdvrdqremqerrecoerresmerreiker
reyierreogerreucerrekaerreayerreqwerreguerrewser
sfnrfssfdpfssftnfssfjlfssfzjfssfphfssfvdfssflbfs
sfbzfssfrxfssfhvfssfxtfstgosgttgeqgttguogttgkmgt
tgakgttgqigttgwegttgmcgttgcagttgsygttgiwgttgyugt
uhpthuuhfrhuuhvphuuhlnhuuhblhuuhrjhuuhxfhuuhndhu
uhdbhuuhtzhuuhjxhuuhzvhuviquivvigsivviwqivvimoiv
vicmivviskivviygivvioeivviecivviuaivvikyivviawiv
wjrvjwwjhtjwwjxrjwwjnpjwwjdnjwwjtljwwjzhjwwjpfjw
wjfdjwwjvbjwwjlzjwwjbxjwxkswkxxkiukxxkyskxxkoqkx
xkeokxxkumkxxkaikxxkqgkxxkgekxxkwckxxkmakxxkcykx
yltxlyyljvlyylztlyylprlyylfplyylvnlyylbjlyylrhly
ylhflyylxdlyylnblyyldzlyzmuymzzmkwmzzmaumzzmqsmz
zmgqmzzmwomzzmckmzzmsimzzmigmzzmyemzzmocmzzmeamz
anvznaanlxnaanbvnaanrtnaanhrnaanxpnaandlnaantjna
anjhnaanzfnaanpdnaanfbnabowaobbomyobbocwobbosuob
boisobboyqobboemobboukobbokiobboagobboqeobbogcob
cpxbpccpnzpccpdxpccptvpccpjtpccpzrpccpfnpccpvlpc
cpljpccpbhpccprfpccphdpcdqycqddqoaqddqeyqddquwqd
dqkuqddqasqddqgoqddqwmqddqmkqddqciqddqsgqddqieqd
erzdreerpbreerfzreervxreerlvreerbtreerhpreerxnre
ernlreerdjreerthreerjfrefsaesffsqcsffsgasffswysf
fsmwsffscusffsiqsffsyosffsomsffseksffsuisffskgsf
gtbftggtrdtggthbtggtxztggtnxtggtdvtggtjrtggtzptg
gtpntggtfltggtvjtggtlhtghucguhhuseuhhuicuhhuyauh
huoyuhhuewuhhuksuhhuaquhhuqouhhugmuhhuwkuhhumiuh
ivdhviivtfviivjdviivzbviivpzviivfxviivltviivbrvi
ivrpviivhnviivxlviivnjvijweiwjjwugwjjwkewjjwacwj
jwqawjjwgywjjwmuwjjwcswjjwsqwjjwiowjjwymwjjwokwj
kxfjxkkxvhxkkxlfxkkxbdxkkxrbxkkxhzxkkxnvxkkxdtxk
kxtrxkkxjpxkkxznxkkxplxklygkyllywiyllymgyllyceyl
lyscyllyiayllyowyllyeuyllyusyllykqyllyaoyllyqmyl
mzhlzmmzxjzmmznhzmmzdfzmmztdzmmzjbzmmzpxzmmzfvzm
mzvtzmmzlrzmmzbpzmmzrnzmnaimannaykannaoiannaegan
naueannakcannaqyannagwannawuannamsannacqannasoan

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: naiman
Cipher: anvzna

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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: naiman
Cipher: 331142231133

Extended Methods:
Method #1

Plaintext: naiman
method variations:
sforfsxltwlxcqybqchvdgvh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
n a i m a n 
3 1 4 2 1 3 
3 1 2 3 1 3 
They are then read out in rows:
314213312313
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: naiman
Cipher: cilcml

Read more ...
Method #3

Plaintext: naiman
method variations:
cqgcln qgclnc gclncq
clncqg lncqgc ncqgcl

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: naiman

all 720 cipher variations:
naiman naimna naiamn naianm nainam nainma namian namina namain namani namnai
namnia naamin naamni naaimn naainm naanim naanmi nanmai nanmia nanami nanaim
naniam nanima niaman niamna niaamn niaanm nianam nianma nimaan nimana nimaan
nimana nimnaa nimnaa niaman niamna niaamn niaanm nianam nianma ninmaa ninmaa
ninama ninaam ninaam ninama nmiaan nmiana nmiaan nmiana nminaa nminaa nmaian
nmaina nmaain nmaani nmanai nmania nmaain nmaani nmaian nmaina nmania nmanai
nmnaai nmnaia nmnaai nmnaia nmniaa nmniaa naiman naimna naiamn naianm nainam
nainma namian namina namain namani namnai namnia naamin naamni naaimn naainm
naanim naanmi nanmai nanmia nanami nanaim naniam nanima nnimaa nnimaa nniama
nniaam nniaam nniama nnmiaa nnmiaa nnmaia nnmaai nnmaai nnmaia nnamia nnamai
nnaima nnaiam nnaaim nnaami nnamai nnamia nnaami nnaaim nnaiam nnaima animan
animna aniamn anianm aninam aninma anmian anmina anmain anmani anmnai anmnia
anamin anamni anaimn anainm ananim ananmi annmai annmia annami annaim anniam
annima ainman ainmna ainamn ainanm ainnam ainnma aimnan aimnna aimann aimann
aimnan aimnna aiamnn aiamnn aianmn aiannm aiannm aianmn ainman ainmna ainamn
ainanm ainnam ainnma aminan aminna amiann amiann aminan aminna amnian amnina
amnain amnani amnnai amnnia amanin amanni amainn amainn amanin amanni amnnai
amnnia amnani amnain amnian amnina aaimnn aaimnn aainmn aainnm aainnm aainmn
aaminn aaminn aamnin aamnni aamnni aamnin aanmin aanmni aanimn aaninm aannim
aannmi aanmni aanmin aannmi aannim aaninm aanimn animan animna aniamn anianm
aninam aninma anmian anmina anmain anmani anmnai anmnia anamin anamni anaimn
anainm ananim ananmi annmai annmia annami annaim anniam annima ianman ianmna
ianamn iananm iannam iannma iamnan iamnna iamann iamann iamnan iamnna iaamnn
iaamnn iaanmn iaannm iaannm iaanmn ianman ianmna ianamn iananm iannam iannma
inaman inamna inaamn inaanm inanam inanma inmaan inmana inmaan inmana inmnaa
inmnaa inaman inamna inaamn inaanm inanam inanma innmaa innmaa innama innaam
innaam innama imnaan imnana imnaan imnana imnnaa imnnaa imanan imanna imaann
imaann imanan imanna imaann imaann imanan imanna imanna imanan imnaan imnana
imnaan imnana imnnaa imnnaa ianman ianmna ianamn iananm iannam iannma iamnan
iamnna iamann iamann iamnan iamnna iaamnn iaamnn iaanmn iaannm iaannm iaanmn
ianman ianmna ianamn iananm iannam iannma innmaa innmaa innama innaam innaam
innama inmnaa inmnaa inmana inmaan inmaan inmana inamna inaman inanma inanam
inaanm inaamn inaman inamna inaamn inaanm inanam inanma mainan mainna maiann
maiann mainan mainna manian manina manain manani mannai mannia maanin maanni
maainn maainn maanin maanni mannai mannia manani manain manian manina mianan
mianna miaann miaann mianan mianna minaan minana minaan minana minnaa minnaa
mianan mianna miaann miaann mianan mianna minnaa minnaa minana minaan minaan
minana mniaan mniana mniaan mniana mninaa mninaa mnaian mnaina mnaain mnaani
mnanai mnania mnaain mnaani mnaian mnaina mnania mnanai mnnaai mnnaia mnnaai
mnnaia mnniaa mnniaa mainan mainna maiann maiann mainan mainna manian manina
manain manani mannai mannia maanin maanni maainn maainn maanin maanni mannai
mannia manani manain manian manina mninaa mninaa mniana mniaan mniaan mniana
mnniaa mnniaa mnnaia mnnaai mnnaai mnnaia mnania mnanai mnaina mnaian mnaain
mnaani mnanai mnania mnaani mnaain mnaian mnaina aaimnn aaimnn aainmn aainnm
aainnm aainmn aaminn aaminn aamnin aamnni aamnni aamnin aanmin aanmni aanimn
aaninm aannim aannmi aanmni aanmin aannmi aannim aaninm aanimn aiamnn aiamnn
aianmn aiannm aiannm aianmn aimann aimann aimnan aimnna aimnna aimnan ainman
ainmna ainamn ainanm ainnam ainnma ainmna ainman ainnma ainnam ainanm ainamn
amiann amiann aminan aminna aminna aminan amainn amainn amanin amanni amanni
amanin amnain amnani amnian amnina amnnia amnnai amnani amnain amnnai amnnia
amnina amnian animan animna aniamn anianm aninam aninma anmian anmina anmain
anmani anmnai anmnia anamin anamni anaimn anainm ananim ananmi annmai annmia
annami annaim anniam annima animna animan aninma aninam anianm aniamn anmina
anmian anmnia anmnai anmani anmain annmia annmai annima anniam annaim annami
anamni anamin ananmi ananim anainm anaimn naiman naimna naiamn naianm nainam
nainma namian namina namain namani namnai namnia naamin naamni naaimn naainm
naanim naanmi nanmai nanmia nanami nanaim naniam nanima niaman niamna niaamn
niaanm nianam nianma nimaan nimana nimaan nimana nimnaa nimnaa niaman niamna
niaamn niaanm nianam nianma ninmaa ninmaa ninama ninaam ninaam ninama nmiaan
nmiana nmiaan nmiana nminaa nminaa nmaian nmaina nmaain nmaani nmanai nmania
nmaain nmaani nmaian nmaina nmania nmanai nmnaai nmnaia nmnaai nmnaia nmniaa
nmniaa naiman naimna naiamn naianm nainam nainma namian namina namain namani
namnai namnia naamin naamni naaimn naainm naanim naanmi nanmai nanmia nanami
nanaim naniam nanima nnimaa nnimaa nniama nniaam nniaam nniama nnmiaa nnmiaa
nnmaia nnmaai nnmaai nnmaia nnamia nnamai nnaima nnaiam nnaaim nnaami nnamai
nnamia nnaami nnaaim nnaiam nnaima

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