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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: wiliam
cipher variations:
xjmjbn yknkco zloldp ampmeq bnqnfr
corogs dpspht eqtqiu frurjv gsvskw
htwtlx iuxumy jvyvnz kwzwoa lxaxpb
mybyqc nzczrd oadase pbebtf qcfcug
rdgdvh sehewi tfifxj ugjgyk vhkhzl

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: wiliam
Cipher: drorzn

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: wiliam
Cipher: BABAA ABAAA ABABA ABAAA AAAAA ABABB

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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: wiliam
cipher variations:
xjmjbnpzizblhpepbjzfafbhrvwvbfjlslbdtrkrbzlhghbx
dxcxbvvnynbtndudbrftqtbpyknkcoqajacmiqfqckagbgci
swxwcgkmtmceuslscamihicyeydycwwozocuoevecsgurucq
zloldprbkbdnjrgrdlbhchdjtxyxdhlnundfvtmtdbnjijdz
fzezdxxpapdvpfwfdthvsvdrampmeqsclceokshsemcidiek
uyzyeimovoegwunuecokjkeagafaeyyqbqewqgxgeuiwtwes
bnqnfrtdmdfpltitfndjejflvzazfjnpwpfhxvovfdplklfb
hbgbfzzrcrfxrhyhfvjxuxftcorogsuenegqmujugoekfkgm
wabagkoqxqgiywpwgeqmlmgcichcgaasdsgysizigwkyvygu
dpsphtvfofhrnvkvhpflglhnxbcbhlpryrhjzxqxhfrnmnhd
jdidhbbtethztjajhxlzwzhveqtqiuwgpgisowlwiqgmhmio
ycdcimqszsikayryigsonoiekejeiccufuiaukbkiymaxaiw
frurjvxhqhjtpxmxjrhninjpzdedjnrtatjlbzszjhtpopjf
lfkfjddvgvjbvlcljznbybjxgsvskwyirikuqynyksiojokq
aefekosubukmcatakiuqpqkgmglgkeewhwkcwmdmkaoczcky
htwtlxzjsjlvrzozltjpkplrbfgflptvcvlndbubljvrqrlh
nhmhlffxixldxnenlbpdadlziuxumyaktkmwsapamukqlqms
cghgmquwdwmoecvcmkwsrsmioinimggyjymeyofomcqebema
jvyvnzblulnxtbqbnvlrmrntdhihnrvxexnpfdwdnlxtstnj
pjojnhhzkznfzpgpndrfcfnbkwzwoacmvmoyucrcowmsnsou
eijioswyfyoqgexeomyutuokqkpkoiialaogaqhqoesgdgoc
lxaxpbdnwnpzvdsdpxntotpvfjkjptxzgzprhfyfpnzvuvpl
rlqlpjjbmbphbrirpfthehpdmybyqceoxoqaweteqyoupuqw
gklkquyahaqsigzgqoawvwqmsmrmqkkcncqicsjsqguifiqe
nzczrdfpyprbxfufrzpvqvrxhlmlrvzbibrtjhahrpbxwxrn
tnsnrlldodrjdtktrhvjgjrfoadasegqzqscygvgsaqwrwsy
imnmswacjcsukibisqcyxysouotosmmepeskeulusiwkhksg
pbebtfhrartdzhwhtbrxsxtzjnontxbdkdtvljcjtrdzyztp
vpuptnnfqftlfvmvtjxlilthqcfcugisbsueaixiucsytyua
kopouyceleuwmkdkuseazauqwqvquoogrgumgwnwukymjmui
rdgdvhjtctvfbjyjvdtzuzvblpqpvzdfmfvxnlelvtfbabvr
xrwrvpphshvnhxoxvlznknvjsehewikuduwgckzkweuavawc
mqrqwaegngwyomfmwugcbcwsysxswqqitiwoiypywmaolowk
tfifxjlvevxhdlalxfvbwbxdnrsrxbfhohxzpngnxvhdcdxt
ztytxrrjujxpjzqzxnbpmpxlugjgykmwfwyiembmygwcxcye
ostsycgipiyaqohoywiedeyuauzuysskvkyqkarayocqnqym
vhkhzlnxgxzjfncnzhxdydzfptutzdhjqjzbrpipzxjfefzv
bvavzttlwlzrlbsbzpdrorznwiliamoyhyakgodoaiyezeag
quvuaeikrkacsqjqaykgfgawcwbwauumxmasmctcaqespsao

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: wiliam
Cipher: jvyvnz

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: wiliam
Cipher: 254213421123

Extended Methods:
Method #1

Plaintext: wiliam
method variations:
boqofrgtvtlwmyayqbrdfdvg

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
w i l i a m 
2 4 1 4 1 2 
5 2 3 2 1 3 
They are then read out in rows:
241412523213
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: wiliam
Cipher: rqfkhl

Read more ...
Method #3

Plaintext: wiliam
method variations:
ubsbfh bsbfhu sbfhub
bfhubs fhubsb hubsbf

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: wiliam

all 720 cipher variations:
wiliam wilima wilaim wilami wilmai wilmia wiilam wiilma wiialm wiiaml wiimal
wiimla wiailm wiaiml wialim wialmi wiamli wiamil wimial wimila wimail wimali
wimlai wimlia wliiam wliima wliaim wliami wlimai wlimia wliiam wliima wliaim
wliami wlimai wlimia wlaiim wlaimi wlaiim wlaimi wlamii wlamii wlmiai wlmiia
wlmaii wlmaii wlmiai wlmiia wiliam wilima wilaim wilami wilmai wilmia wiilam
wiilma wiialm wiiaml wiimal wiimla wiailm wiaiml wialim wialmi wiamli wiamil
wimial wimila wimail wimali wimlai wimlia waliim walimi waliim walimi walmii
walmii wailim wailmi waiilm waiiml waimil waimli waiilm waiiml wailim wailmi
waimli waimil wamiil wamili wamiil wamili wamlii wamlii wmliai wmliia wmlaii
wmlaii wmliai wmliia wmilai wmilia wmiali wmiail wmiial wmiila wmaili wmaiil
wmalii wmalii wmaili wmaiil wmiial wmiila wmiail wmiali wmilai wmilia iwliam
iwlima iwlaim iwlami iwlmai iwlmia iwilam iwilma iwialm iwiaml iwimal iwimla
iwailm iwaiml iwalim iwalmi iwamli iwamil iwmial iwmila iwmail iwmali iwmlai
iwmlia ilwiam ilwima ilwaim ilwami ilwmai ilwmia iliwam iliwma iliawm iliamw
ilimaw ilimwa ilaiwm ilaimw ilawim ilawmi ilamwi ilamiw ilmiaw ilmiwa ilmaiw
ilmawi ilmwai ilmwia iilwam iilwma iilawm iilamw iilmaw iilmwa iiwlam iiwlma
iiwalm iiwaml iiwmal iiwmla iiawlm iiawml iialwm iialmw iiamlw iiamwl iimwal
iimwla iimawl iimalw iimlaw iimlwa ialiwm ialimw ialwim ialwmi ialmwi ialmiw
iailwm iailmw iaiwlm iaiwml iaimwl iaimlw iawilm iawiml iawlim iawlmi iawmli
iawmil iamiwl iamilw iamwil iamwli iamlwi iamliw imliaw imliwa imlaiw imlawi
imlwai imlwia imilaw imilwa imialw imiawl imiwal imiwla imailw imaiwl imaliw
imalwi imawli imawil imwial imwila imwail imwali imwlai imwlia liwiam liwima
liwaim liwami liwmai liwmia liiwam liiwma liiawm liiamw liimaw liimwa liaiwm
liaimw liawim liawmi liamwi liamiw limiaw limiwa limaiw limawi limwai limwia
lwiiam lwiima lwiaim lwiami lwimai lwimia lwiiam lwiima lwiaim lwiami lwimai
lwimia lwaiim lwaimi lwaiim lwaimi lwamii lwamii lwmiai lwmiia lwmaii lwmaii
lwmiai lwmiia liwiam liwima liwaim liwami liwmai liwmia liiwam liiwma liiawm
liiamw liimaw liimwa liaiwm liaimw liawim liawmi liamwi liamiw limiaw limiwa
limaiw limawi limwai limwia lawiim lawimi lawiim lawimi lawmii lawmii laiwim
laiwmi laiiwm laiimw laimiw laimwi laiiwm laiimw laiwim laiwmi laimwi laimiw
lamiiw lamiwi lamiiw lamiwi lamwii lamwii lmwiai lmwiia lmwaii lmwaii lmwiai
lmwiia lmiwai lmiwia lmiawi lmiaiw lmiiaw lmiiwa lmaiwi lmaiiw lmawii lmawii
lmaiwi lmaiiw lmiiaw lmiiwa lmiaiw lmiawi lmiwai lmiwia iilwam iilwma iilawm
iilamw iilmaw iilmwa iiwlam iiwlma iiwalm iiwaml iiwmal iiwmla iiawlm iiawml
iialwm iialmw iiamlw iiamwl iimwal iimwla iimawl iimalw iimlaw iimlwa iliwam
iliwma iliawm iliamw ilimaw ilimwa ilwiam ilwima ilwaim ilwami ilwmai ilwmia
ilawim ilawmi ilaiwm ilaimw ilamiw ilamwi ilmwai ilmwia ilmawi ilmaiw ilmiaw
ilmiwa iwliam iwlima iwlaim iwlami iwlmai iwlmia iwilam iwilma iwialm iwiaml
iwimal iwimla iwailm iwaiml iwalim iwalmi iwamli iwamil iwmial iwmila iwmail
iwmali iwmlai iwmlia ialwim ialwmi ialiwm ialimw ialmiw ialmwi iawlim iawlmi
iawilm iawiml iawmil iawmli iaiwlm iaiwml iailwm iailmw iaimlw iaimwl iamwil
iamwli iamiwl iamilw iamliw iamlwi imlwai imlwia imlawi imlaiw imliaw imliwa
imwlai imwlia imwali imwail imwial imwila imawli imawil imalwi imaliw imailw
imaiwl imiwal imiwla imiawl imialw imilaw imilwa ailiwm ailimw ailwim ailwmi
ailmwi ailmiw aiilwm aiilmw aiiwlm aiiwml aiimwl aiimlw aiwilm aiwiml aiwlim
aiwlmi aiwmli aiwmil aimiwl aimilw aimwil aimwli aimlwi aimliw aliiwm aliimw
aliwim aliwmi alimwi alimiw aliiwm aliimw aliwim aliwmi alimwi alimiw alwiim
alwimi alwiim alwimi alwmii alwmii almiwi almiiw almwii almwii almiwi almiiw
ailiwm ailimw ailwim ailwmi ailmwi ailmiw aiilwm aiilmw aiiwlm aiiwml aiimwl
aiimlw aiwilm aiwiml aiwlim aiwlmi aiwmli aiwmil aimiwl aimilw aimwil aimwli
aimlwi aimliw awliim awlimi awliim awlimi awlmii awlmii awilim awilmi awiilm
awiiml awimil awimli awiilm awiiml awilim awilmi awimli awimil awmiil awmili
awmiil awmili awmlii awmlii amliwi amliiw amlwii amlwii amliwi amliiw amilwi
amiliw amiwli amiwil amiiwl amiilw amwili amwiil amwlii amwlii amwili amwiil
amiiwl amiilw amiwil amiwli amilwi amiliw miliaw miliwa milaiw milawi milwai
milwia miilaw miilwa miialw miiawl miiwal miiwla miailw miaiwl mialiw mialwi
miawli miawil miwial miwila miwail miwali miwlai miwlia mliiaw mliiwa mliaiw
mliawi mliwai mliwia mliiaw mliiwa mliaiw mliawi mliwai mliwia mlaiiw mlaiwi
mlaiiw mlaiwi mlawii mlawii mlwiai mlwiia mlwaii mlwaii mlwiai mlwiia miliaw
miliwa milaiw milawi milwai milwia miilaw miilwa miialw miiawl miiwal miiwla
miailw miaiwl mialiw mialwi miawli miawil miwial miwila miwail miwali miwlai
miwlia maliiw maliwi maliiw maliwi malwii malwii mailiw mailwi maiilw maiiwl
maiwil maiwli maiilw maiiwl mailiw mailwi maiwli maiwil mawiil mawili mawiil
mawili mawlii mawlii mwliai mwliia mwlaii mwlaii mwliai mwliia mwilai mwilia
mwiali mwiail mwiial mwiila mwaili mwaiil mwalii mwalii mwaili mwaiil mwiial
mwiila mwiail mwiali mwilai mwilia

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

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