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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: shauna
cipher variations:
tibvob ujcwpc vkdxqd wleyre xmfzsf
yngatg zohbuh apicvi bqjdwj crkexk
dslfyl etmgzm funhan gvoibo hwpjcp
ixqkdq jyrler kzsmfs latngt mbuohu
ncvpiv odwqjw pexrkx qfysly rgztmz

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: shauna
Cipher: hszfmz

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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: shauna
Cipher: BAAAB AABBB AAAAA BAABB ABBAA 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: shauna
cipher variations:
tibvobdwbjobnkbxobxyblobhmbzobrabnoblcbpobvqbdob
febrobpsbfobzgbtobjubhobujcwpcexckpcolcypcyzcmpc
incapcsbcopcmdcqpcwrcepcgfcspcqtcgpcahcupckvcipc
vkdxqdfydlqdpmdzqdzadnqdjodbqdtcdpqdnedrqdxsdfqd
hgdtqdrudhqdbidvqdlwdjqdwleyregzemreqneareabeore
kpecreudeqreofesreytegreiheuresveirecjewremxekre
xmfzsfhafnsfrofbsfbcfpsflqfdsfvefrsfpgftsfzufhsf
jifvsftwfjsfdkfxsfnyflsfyngatgibgotgspgctgcdgqtg
mrgetgwfgstgqhgutgavgitgkjgwtguxgktgelgytgozgmtg
zohbuhjchpuhtqhduhdehruhnshfuhxghtuhrihvuhbwhjuh
lkhxuhvyhluhfmhzuhpahnuhapicvikdiqviurieviefisvi
otigviyhiuvisjiwvicxikvimliyviwzimvigniaviqbiovi
bqjdwjlejrwjvsjfwjfgjtwjpujhwjzijvwjtkjxwjdyjlwj
nmjzwjxajnwjhojbwjrcjpwjcrkexkmfksxkwtkgxkghkuxk
qvkixkajkwxkulkyxkezkmxkonkaxkybkoxkipkcxksdkqxk
dslfylngltylxulhylhilvylrwljylbklxylvmlzylfalnyl
polbylzclpyljqldyltelryletmgzmohmuzmyvmizmijmwzm
sxmkzmclmyzmwnmazmgbmozmqpmczmadmqzmkrmezmufmszm
funhanpinvanzwnjanjknxantynlandmnzanxonbanhcnpan
rqndanbenranlsnfanvgntangvoiboqjowboaxokbokloybo
uzomboenoaboypocboidoqbosroebocfosbomtogbowhoubo
hwpjcprkpxcpbyplcplmpzcpvapncpfopbcpzqpdcpjeprcp
tspfcpdgptcpnuphcpxipvcpixqkdqslqydqczqmdqmnqadq
wbqodqgpqcdqarqedqkfqsdqutqgdqehqudqovqidqyjqwdq
jyrlertmrzerdarnernorberxcrperhqrderbsrferlgrter
vurherfirverpwrjerzkrxerkzsmfsunsafsebsofsopscfs
ydsqfsirsefsctsgfsmhsufswvsifsgjswfsqxskfsalsyfs
latngtvotbgtfctpgtpqtdgtzetrgtjstfgtduthgtnitvgt
xwtjgthktxgtrytlgtbmtzgtmbuohuwpuchugduqhuqruehu
afushuktughuevuihuojuwhuyxukhuiluyhuszumhucnuahu
ncvpivxqvdivhevrivrsvfivbgvtivluvhivfwvjivpkvxiv
zyvlivjmvzivtavnivdovbivodwqjwyrwejwifwsjwstwgjw
chwujwmvwijwgxwkjwqlwyjwazwmjwknwajwubwojwepwcjw
pexrkxzsxfkxjgxtkxtuxhkxdixvkxnwxjkxhyxlkxrmxzkx
baxnkxloxbkxvcxpkxfqxdkxqfyslyatyglykhyulyuvyily
ejywlyoxyklyizymlysnyalycbyolympyclywdyqlygryely
rgztmzbuzhmzlizvmzvwzjmzfkzxmzpyzlmzjaznmztozbmz
dczpmznqzdmzxezrmzhszfmzshaunacvainamjawnawxakna
glaynaqzamnakbaonaupacnaedaqnaoraenayfasnaitagna

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: shauna
Cipher: funhan

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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: shauna
Cipher: 343211543311

Extended Methods:
Method #1

Plaintext: shauna
method variations:
xnfzsfcslexlhxqkcqncvphv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s h a u n a 
3 3 1 5 3 1 
4 2 1 4 3 1 
They are then read out in rows:
331531421431
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: shauna
Cipher: nvciqc

Read more ...
Method #3

Plaintext: shauna
method variations:
obvocl bvoclo voclob
oclobv clobvo lobvoc

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: shauna

all 720 cipher variations:
shauna shauan shanua shanau shaanu shaaun shuana shuaan shunaa shunaa shuana
shuaan shnuaa shnuaa shnaua shnaau shnaau shnaua shauna shauan shanua shanau
shaanu shaaun sahuna sahuan sahnua sahnau sahanu sahaun sauhna sauhan saunha
saunah sauanh sauahn sanuha sanuah sanhua sanhau sanahu sanauh saaunh saauhn
saanuh saanhu saahnu saahun suahna suahan suanha suanah suaanh suaahn suhana
suhaan suhnaa suhnaa suhana suhaan sunhaa sunhaa sunaha sunaah sunaah sunaha
suahna suahan suanha suanah suaanh suaahn snauha snauah snahua snahau snaahu
snaauh snuaha snuaah snuhaa snuhaa snuaha snuaah snhuaa snhuaa snhaua snhaau
snhaau snhaua snauha snauah snahua snahau snaahu snaauh saaunh saauhn saanuh
saanhu saahnu saahun sauanh sauahn saunah saunha sauhna sauhan sanuah sanuha
sanauh sanahu sanhau sanhua sahuna sahuan sahnua sahnau sahanu sahaun hsauna
hsauan hsanua hsanau hsaanu hsaaun hsuana hsuaan hsunaa hsunaa hsuana hsuaan
hsnuaa hsnuaa hsnaua hsnaau hsnaau hsnaua hsauna hsauan hsanua hsanau hsaanu
hsaaun hasuna hasuan hasnua hasnau hasanu hasaun hausna hausan haunsa haunas
hauans hauasn hanusa hanuas hansua hansau hanasu hanaus haauns haausn haanus
haansu haasnu haasun huasna huasan huansa huanas huaans huaasn husana husaan
husnaa husnaa husana husaan hunsaa hunsaa hunasa hunaas hunaas hunasa huasna
huasan huansa huanas huaans huaasn hnausa hnauas hnasua hnasau hnaasu hnaaus
hnuasa hnuaas hnusaa hnusaa hnuasa hnuaas hnsuaa hnsuaa hnsaua hnsaau hnsaau
hnsaua hnausa hnauas hnasua hnasau hnaasu hnaaus haauns haausn haanus haansu
haasnu haasun hauans hauasn haunas haunsa hausna hausan hanuas hanusa hanaus
hanasu hansau hansua hasuna hasuan hasnua hasnau hasanu hasaun ahsuna ahsuan
ahsnua ahsnau ahsanu ahsaun ahusna ahusan ahunsa ahunas ahuans ahuasn ahnusa
ahnuas ahnsua ahnsau ahnasu ahnaus ahauns ahausn ahanus ahansu ahasnu ahasun
ashuna ashuan ashnua ashnau ashanu ashaun asuhna asuhan asunha asunah asuanh
asuahn asnuha asnuah asnhua asnhau asnahu asnauh asaunh asauhn asanuh asanhu
asahnu asahun aushna aushan ausnha ausnah ausanh ausahn auhsna auhsan auhnsa
auhnas auhans auhasn aunhsa aunhas aunsha aunsah aunash aunahs auahns auahsn
auanhs auansh auasnh auashn ansuha ansuah anshua anshau ansahu ansauh anusha
anusah anuhsa anuhas anuahs anuash anhusa anhuas anhsua anhsau anhasu anhaus
anauhs anaush anahus anahsu anashu anasuh aasunh aasuhn aasnuh aasnhu aashnu
aashun aausnh aaushn aaunsh aaunhs aauhns aauhsn aanush aanuhs aansuh aanshu
aanhsu aanhus aahuns aahusn aahnus aahnsu aahsnu aahsun uhasna uhasan uhansa
uhanas uhaans uhaasn uhsana uhsaan uhsnaa uhsnaa uhsana uhsaan uhnsaa uhnsaa
uhnasa uhnaas uhnaas uhnasa uhasna uhasan uhansa uhanas uhaans uhaasn uahsna
uahsan uahnsa uahnas uahans uahasn uashna uashan uasnha uasnah uasanh uasahn
uansha uansah uanhsa uanhas uanahs uanash uaasnh uaashn uaansh uaanhs uaahns
uaahsn usahna usahan usanha usanah usaanh usaahn ushana ushaan ushnaa ushnaa
ushana ushaan usnhaa usnhaa usnaha usnaah usnaah usnaha usahna usahan usanha
usanah usaanh usaahn unasha unasah unahsa unahas unaahs unaash unsaha unsaah
unshaa unshaa unsaha unsaah unhsaa unhsaa unhasa unhaas unhaas unhasa unasha
unasah unahsa unahas unaahs unaash uaasnh uaashn uaansh uaanhs uaahns uaahsn
uasanh uasahn uasnah uasnha uashna uashan uansah uansha uanash uanahs uanhas
uanhsa uahsna uahsan uahnsa uahnas uahans uahasn nhausa nhauas nhasua nhasau
nhaasu nhaaus nhuasa nhuaas nhusaa nhusaa nhuasa nhuaas nhsuaa nhsuaa nhsaua
nhsaau nhsaau nhsaua nhausa nhauas nhasua nhasau nhaasu nhaaus nahusa nahuas
nahsua nahsau nahasu nahaus nauhsa nauhas nausha nausah nauash nauahs nasuha
nasuah nashua nashau nasahu nasauh naaush naauhs naasuh naashu naahsu naahus
nuahsa nuahas nuasha nuasah nuaash nuaahs nuhasa nuhaas nuhsaa nuhsaa nuhasa
nuhaas nushaa nushaa nusaha nusaah nusaah nusaha nuahsa nuahas nuasha nuasah
nuaash nuaahs nsauha nsauah nsahua nsahau nsaahu nsaauh nsuaha nsuaah nsuhaa
nsuhaa nsuaha nsuaah nshuaa nshuaa nshaua nshaau nshaau nshaua nsauha nsauah
nsahua nsahau nsaahu nsaauh naaush naauhs naasuh naashu naahsu naahus nauash
nauahs nausah nausha nauhsa nauhas nasuah nasuha nasauh nasahu nashau nashua
nahusa nahuas nahsua nahsau nahasu nahaus ahauns ahausn ahanus ahansu ahasnu
ahasun ahuans ahuasn ahunas ahunsa ahusna ahusan ahnuas ahnusa ahnaus ahnasu
ahnsau ahnsua ahsuna ahsuan ahsnua ahsnau ahsanu ahsaun aahuns aahusn aahnus
aahnsu aahsnu aahsun aauhns aauhsn aaunhs aaunsh aausnh aaushn aanuhs aanush
aanhus aanhsu aanshu aansuh aasunh aasuhn aasnuh aasnhu aashnu aashun auahns
auahsn auanhs auansh auasnh auashn auhans auhasn auhnas auhnsa auhsna auhsan
aunhas aunhsa aunahs aunash aunsah aunsha aushna aushan ausnha ausnah ausanh
ausahn anauhs anaush anahus anahsu anashu anasuh anuahs anuash anuhas anuhsa
anusha anusah anhuas anhusa anhaus anhasu anhsau anhsua ansuha ansuah anshua
anshau ansahu ansauh asaunh asauhn asanuh asanhu asahnu asahun asuanh asuahn
asunah asunha asuhna asuhan asnuah asnuha asnauh asnahu asnhau asnhua ashuna
ashuan ashnua ashnau ashanu ashaun

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