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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: hrabak
cipher variations:
isbcbl jtcdcm kudedn lvefeo mwfgfp
nxghgq oyhihr pzijis qajkjt rbklku
sclmlv tdmnmw uenonx vfopoy wgpqpz
xhqrqa yirsrb zjstsc aktutd bluvue
cmvwvf dnwxwg eoxyxh fpyzyi gqzazj

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: hrabak
Cipher: sizyzp

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: hrabak
Cipher: AABBB BAAAA AAAAA AAAAB AAAAA ABAAB

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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: hrabak
cipher variations:
isbcblwabebfkibgbzyqbibtmybkbnagbmbhcwbqbvqebsbp
embubjsubwbdgcbybxukbabrjtcdcmxbcfcgljchcazrcjcu
nzclcobhcncidxcrcwrfctcqfncvcktvcxcehdczcyvlcbcs
kudednycdgdhmkdidbasdkdvoadmdpcidodjeydsdxsgdudr
godwdluwdydfiedadzwmdcdtlvefeozdeheinlejecbtelew
pbeneqdjepekfzeteytheveshpexemvxezegjfebeaxnedeu
mwfgfpaefifjomfkfdcufmfxqcfofrekfqflgafufzuifwft
iqfyfnwyfafhkgfcfbyofefvnxghgqbfgjgkpnglgedvgngy
rdgpgsflgrgmhbgvgavjgxgujrgzgoxzgbgilhgdgczpgfgw
oyhihrcghkhlqohmhfewhohzsehqhtgmhshnichwhbwkhyhv
kshahpyahchjmihehdaqhghxpzijisdhilimrpinigfxipia
tfiriuhnitiojdixicxliziwltibiqzbidiknjifiebrihiy
qajkjteijmjnsqjojhgyjqjbugjsjviojujpkejyjdymjajx
mujcjracjejlokjgjfcsjijzrbklkufjknkotrkpkihzkrkc
vhktkwjpkvkqlfkzkeznkbkynvkdksbdkfkmplkhkgdtkjka
sclmlvgklolpuslqljialsldwilulxkqlwlrmglalfaolclz
owleltcelglnqmlilheulklbtdmnmwhlmpmqvtmrmkjbmtme
xjmvmylrmxmsnhmbmgbpmdmapxmfmudfmhmornmjmifvmlmc
uenonximnqnrwunsnlkcnunfyknwnzmsnyntoincnhcqnenb
qyngnvegninpsonknjgwnmndvfopoyjnorosxvotomldovog
zloxoantozoupjodoidrofocrzohowfhojoqtpolokhxonoe
wgpqpzkopsptywpupnmepwphampypboupapvqkpepjespgpd
sapipxgipkpruqpmpliypopfxhqrqalpqtquzxqvqonfqxqi
bnqzqcpvqbqwrlqfqkftqhqetbqjqyhjqlqsvrqnqmjzqpqg
yirsrbmqrurvayrwrpogryrjcorardqwrcrxsmrgrlgurirf
ucrkrzikrmrtwsrornkarqrhzjstscnrsvswbzsxsqphszsk
dpsbserxsdsytnshsmhvsjsgvdslsajlsnsuxtspsolbsrsi
aktutdostwtxcatytrqitatleqtctfsytetzuotitniwtkth
wetmtbkmtotvyutqtpmctstjbluvueptuxuydbuzusrjubum
frudugtzufuavpujuojxuluixfunuclnupuwzvuruqndutuk
cmvwvfquvyvzecvavtskvcvngsvevhuavgvbwqvkvpkyvmvj
ygvovdmovqvxawvsvroevuvldnwxwgrvwzwafdwbwutlwdwo
htwfwivbwhwcxrwlwqlzwnwkzhwpwenpwrwybxwtwspfwvwm
eoxyxhswxaxbgexcxvumxexpiuxgxjwcxixdysxmxrmaxoxl
aixqxfoqxsxzcyxuxtqgxwxnfpyzyitxybychfydywvnyfyq
jvyhykxdyjyeztynysnbypymbjyrygprytyadzyvyurhyxyo
gqzazjuyzczdigzezxwozgzrkwzizlyezkzfauzoztoczqzn
ckzszhqszuzbeazwzvsizyzphrabakvzadaejhafayxpahas
lxajamzfalagbvapaupdaraodlatairtavacfbaxawtjazaq

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: hrabak
Cipher: uenonx

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: hrabak
Cipher: 322411211152

Extended Methods:
Method #1

Plaintext: hrabak
method variations:
nwfgfpsblmluxgqrqzcmvwve

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
h r a b a k 
3 2 1 2 1 5 
2 4 1 1 1 2 
They are then read out in rows:
321215241112
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: hrabak
Cipher: hfvraf

Read more ...
Method #3

Plaintext: hrabak
method variations:
gdfavm dfavmg favmgd
avmgdf vmgdfa mgdfav

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: hrabak

all 720 cipher variations:
hrabak hrabka hraabk hraakb hrakab hrakba hrbaak hrbaka hrbaak hrbaka hrbkaa
hrbkaa hrabak hrabka hraabk hraakb hrakab hrakba hrkbaa hrkbaa hrkaba hrkaab
hrkaab hrkaba harbak harbka harabk harakb harkab harkba habrak habrka habark
habakr habkar habkra haabrk haabkr haarbk haarkb haakrb haakbr hakbar hakbra
hakabr hakarb hakrab hakrba hbarak hbarka hbaark hbaakr hbakar hbakra hbraak
hbraka hbraak hbraka hbrkaa hbrkaa hbarak hbarka hbaark hbaakr hbakar hbakra
hbkraa hbkraa hbkara hbkaar hbkaar hbkara haabrk haabkr haarbk haarkb haakrb
haakbr habark habakr habrak habrka habkra habkar harbak harbka harabk harakb
harkab harkba hakbra hakbar hakrba hakrab hakarb hakabr hkabar hkabra hkaabr
hkaarb hkarab hkarba hkbaar hkbara hkbaar hkbara hkbraa hkbraa hkabar hkabra
hkaabr hkaarb hkarab hkarba hkrbaa hkrbaa hkraba hkraab hkraab hkraba rhabak
rhabka rhaabk rhaakb rhakab rhakba rhbaak rhbaka rhbaak rhbaka rhbkaa rhbkaa
rhabak rhabka rhaabk rhaakb rhakab rhakba rhkbaa rhkbaa rhkaba rhkaab rhkaab
rhkaba rahbak rahbka rahabk rahakb rahkab rahkba rabhak rabhka rabahk rabakh
rabkah rabkha raabhk raabkh raahbk raahkb raakhb raakbh rakbah rakbha rakabh
rakahb rakhab rakhba rbahak rbahka rbaahk rbaakh rbakah rbakha rbhaak rbhaka
rbhaak rbhaka rbhkaa rbhkaa rbahak rbahka rbaahk rbaakh rbakah rbakha rbkhaa
rbkhaa rbkaha rbkaah rbkaah rbkaha raabhk raabkh raahbk raahkb raakhb raakbh
rabahk rabakh rabhak rabhka rabkha rabkah rahbak rahbka rahabk rahakb rahkab
rahkba rakbha rakbah rakhba rakhab rakahb rakabh rkabah rkabha rkaabh rkaahb
rkahab rkahba rkbaah rkbaha rkbaah rkbaha rkbhaa rkbhaa rkabah rkabha rkaabh
rkaahb rkahab rkahba rkhbaa rkhbaa rkhaba rkhaab rkhaab rkhaba arhbak arhbka
arhabk arhakb arhkab arhkba arbhak arbhka arbahk arbakh arbkah arbkha arabhk
arabkh arahbk arahkb arakhb arakbh arkbah arkbha arkabh arkahb arkhab arkhba
ahrbak ahrbka ahrabk ahrakb ahrkab ahrkba ahbrak ahbrka ahbark ahbakr ahbkar
ahbkra ahabrk ahabkr aharbk aharkb ahakrb ahakbr ahkbar ahkbra ahkabr ahkarb
ahkrab ahkrba abhrak abhrka abhark abhakr abhkar abhkra abrhak abrhka abrahk
abrakh abrkah abrkha abarhk abarkh abahrk abahkr abakhr abakrh abkrah abkrha
abkarh abkahr abkhar abkhra aahbrk aahbkr aahrbk aahrkb aahkrb aahkbr aabhrk
aabhkr aabrhk aabrkh aabkrh aabkhr aarbhk aarbkh aarhbk aarhkb aarkhb aarkbh
aakbrh aakbhr aakrbh aakrhb aakhrb aakhbr akhbar akhbra akhabr akharb akhrab
akhrba akbhar akbhra akbahr akbarh akbrah akbrha akabhr akabrh akahbr akahrb
akarhb akarbh akrbah akrbha akrabh akrahb akrhab akrhba brahak brahka braahk
braakh brakah brakha brhaak brhaka brhaak brhaka brhkaa brhkaa brahak brahka
braahk braakh brakah brakha brkhaa brkhaa brkaha brkaah brkaah brkaha barhak
barhka barahk barakh barkah barkha bahrak bahrka bahark bahakr bahkar bahkra
baahrk baahkr baarhk baarkh baakrh baakhr bakhar bakhra bakahr bakarh bakrah
bakrha bharak bharka bhaark bhaakr bhakar bhakra bhraak bhraka bhraak bhraka
bhrkaa bhrkaa bharak bharka bhaark bhaakr bhakar bhakra bhkraa bhkraa bhkara
bhkaar bhkaar bhkara baahrk baahkr baarhk baarkh baakrh baakhr bahark bahakr
bahrak bahrka bahkra bahkar barhak barhka barahk barakh barkah barkha bakhra
bakhar bakrha bakrah bakarh bakahr bkahar bkahra bkaahr bkaarh bkarah bkarha
bkhaar bkhara bkhaar bkhara bkhraa bkhraa bkahar bkahra bkaahr bkaarh bkarah
bkarha bkrhaa bkrhaa bkraha bkraah bkraah bkraha arabhk arabkh arahbk arahkb
arakhb arakbh arbahk arbakh arbhak arbhka arbkha arbkah arhbak arhbka arhabk
arhakb arhkab arhkba arkbha arkbah arkhba arkhab arkahb arkabh aarbhk aarbkh
aarhbk aarhkb aarkhb aarkbh aabrhk aabrkh aabhrk aabhkr aabkhr aabkrh aahbrk
aahbkr aahrbk aahrkb aahkrb aahkbr aakbhr aakbrh aakhbr aakhrb aakrhb aakrbh
abarhk abarkh abahrk abahkr abakhr abakrh abrahk abrakh abrhak abrhka abrkha
abrkah abhrak abhrka abhark abhakr abhkar abhkra abkrha abkrah abkhra abkhar
abkahr abkarh ahabrk ahabkr aharbk aharkb ahakrb ahakbr ahbark ahbakr ahbrak
ahbrka ahbkra ahbkar ahrbak ahrbka ahrabk ahrakb ahrkab ahrkba ahkbra ahkbar
ahkrba ahkrab ahkarb ahkabr akabhr akabrh akahbr akahrb akarhb akarbh akbahr
akbarh akbhar akbhra akbrha akbrah akhbar akhbra akhabr akharb akhrab akhrba
akrbha akrbah akrhba akrhab akrahb akrabh krabah krabha kraabh kraahb krahab
krahba krbaah krbaha krbaah krbaha krbhaa krbhaa krabah krabha kraabh kraahb
krahab krahba krhbaa krhbaa krhaba krhaab krhaab krhaba karbah karbha karabh
karahb karhab karhba kabrah kabrha kabarh kabahr kabhar kabhra kaabrh kaabhr
kaarbh kaarhb kaahrb kaahbr kahbar kahbra kahabr kaharb kahrab kahrba kbarah
kbarha kbaarh kbaahr kbahar kbahra kbraah kbraha kbraah kbraha kbrhaa kbrhaa
kbarah kbarha kbaarh kbaahr kbahar kbahra kbhraa kbhraa kbhara kbhaar kbhaar
kbhara kaabrh kaabhr kaarbh kaarhb kaahrb kaahbr kabarh kabahr kabrah kabrha
kabhra kabhar karbah karbha karabh karahb karhab karhba kahbra kahbar kahrba
kahrab kaharb kahabr khabar khabra khaabr khaarb kharab kharba khbaar khbara
khbaar khbara khbraa khbraa khabar khabra khaabr khaarb kharab kharba khrbaa
khrbaa khraba khraab khraab khraba

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

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