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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: robora
cipher variations:
spcpsb tqdqtc urerud vsfsve wtgtwf
xuhuxg yvivyh zwjwzi axkxaj bylybk
czmzcl danadm eboben fcpcfo gdqdgp
herehq ifsfir jgtgjs khuhkt livilu
mjwjmv nkxknw olylox pmzmpy qnanqz

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: robora
Cipher: ilyliz

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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: robora
Cipher: BAAAA ABBAB AAAAB ABBAB BAAAA 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: robora
cipher variations:
spcpsbarerabitgtibqvivqbyxkxybgzmzgbwdqdwbefsfeb
mhuhmbujwjubclylcbknankbtqdqtcbsfsbcjuhujcrwjwrc
zylyzchanahcxerexcfgtgfcnivincvkxkvcdmzmdclobolc
urerudctgtcdkvivkdsxkxsdazmzadibobidyfsfydghuhgd
ojwjodwlylwdenanedmpcpmdvsfsveduhudelwjwletylyte
banabejcpcjezgtgzehivihepkxkpexmzmxefobofenqdqne
wtgtwfevivefmxkxmfuzmzufcbobcfkdqdkfahuhafijwjif
qlylqfynanyfgpcpgforerofxuhuxgfwjwfgnylyngvanavg
dcpcdglerelgbivibgjkxkjgrmzmrgzobozghqdqhgpsfspg
yvivyhgxkxghozmzohwbobwhedqdehmfsfmhcjwjchklylkh
snanshapcpahirerihqtgtqhzwjwzihylyhipanapixcpcxi
ferefingtgnidkxkdilmzmlitobotibqdqbijsfsjiruhuri
axkxajizmzijqbobqjydqdyjgfsfgjohuhojelylejmnanmj
upcpujcrercjktgtkjsvivsjbylybkjanajkrcpcrkzerezk
hgtghkpivipkfmzmfknobonkvqdqvkdsfsdkluhulktwjwtk
czmzclkbobklsdqdslafsfalihuhilqjwjqlgnanglopcpol
wrerwletgtelmvivmluxkxuldanadmlcpclmteretmbgtgbm
jivijmrkxkrmhobohmpqdqpmxsfsxmfuhufmnwjwnmvylyvm
ebobenmdqdmnufsfunchuhcnkjwjknslylsnipcpinqrerqn
ytgtyngvivgnoxkxonwzmzwnfcpcfonerenovgtgvodivido
lkxklotmzmtojqdqjorsfsrozuhuzohwjwhopylypoxanaxo
gdqdgpofsfopwhuhwpejwjepmlylmpunanupkrerkpstgtsp
avivapixkxipqzmzqpybobypherehqpgtgpqxivixqfkxkfq
nmzmnqvobovqlsfslqtuhutqbwjwbqjylyjqranarqzcpczq
ifsfirqhuhqryjwjyrglylgronanorwpcpwrmtgtmruvivur
cxkxcrkzmzkrsbobsradqdarjgtgjsrivirszkxkzshmzmhs
pobopsxqdqxsnuhunsvwjwvsdylydslanalstcpctsberebs
khuhktsjwjstalylatinanitqpcpqtyrerytovivotwxkxwt
ezmzetmbobmtudqdutcfsfctlivilutkxktubmzmbujoboju
rqdqruzsfszupwjwpuxylyxufanafuncpcnuverevudgtgdu
mjwjmvulyluvcnancvkpcpkvsrersvatgtavqxkxqvyzmzyv
gbobgvodqdovwfsfwvehuhevnkxknwvmzmvwdobodwlqdqlw
tsfstwbuhubwrylyrwzanazwhcpchwperepwxgtgxwfivifw
olyloxwnanwxepcpexmrermxutgtuxcvivcxszmzsxabobax
idqdixqfsfqxyhuhyxgjwjgxpmzmpyxoboxyfqdqfynsfsny
vuhuvydwjwdytanatybcpcbyjerejyrgtgryzivizyhkxkhy
qnanqzypcpyzgrergzotgtozwvivwzexkxezubobuzcdqdcz
kfsfkzshuhszajwjazilylizroborazqdqzahsfshapuhupa
xwjwxafylyfavcpcvaderedalgtglativitabkxkbajmzmja

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: robora
Cipher: eboben

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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: robora
Cipher: 244321432411

Extended Methods:
Method #1

Plaintext: robora
method variations:
wtgtwfbymyblgdrdgqmiwimv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
r o b o r a 
2 4 2 4 2 1 
4 3 1 3 4 1 
They are then read out in rows:
242421431341
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: robora
Cipher: rrbold

Read more ...
Method #3

Plaintext: robora
method variations:
thqhdf hqhdft qhdfth
hdfthq dfthqh fthqhd

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: robora

all 720 cipher variations:
robora roboar robroa robrao robaro robaor roobra roobar roorba roorab rooarb
rooabr roroba roroab rorboa rorbao rorabo roraob roaorb roaobr roarob roarbo
roabro roabor rboora rbooar rboroa rborao rboaro rboaor rboora rbooar rboroa
rborao rboaro rboaor rbrooa rbroao rbrooa rbroao rbraoo rbraoo rbaoro rbaoor
rbaroo rbaroo rbaoro rbaoor robora roboar robroa robrao robaro robaor roobra
roobar roorba roorab rooarb rooabr roroba roroab rorboa rorbao rorabo roraob
roaorb roaobr roarob roarbo roabro roabor rrbooa rrboao rrbooa rrboao rrbaoo
rrbaoo rroboa rrobao rrooba rrooab rroaob rroabo rrooba rrooab rroboa rrobao
rroabo rroaob rraoob rraobo rraoob rraobo rraboo rraboo raboro raboor rabroo
rabroo raboro raboor raobro raobor raorbo raorob raoorb raoobr rarobo raroob
rarboo rarboo rarobo raroob raoorb raoobr raorob raorbo raobro raobor orbora
orboar orbroa orbrao orbaro orbaor orobra orobar ororba ororab oroarb oroabr
orroba orroab orrboa orrbao orrabo orraob oraorb oraobr orarob orarbo orabro
orabor obrora obroar obrroa obrrao obraro obraor oborra oborar oborra oborar
oboarr oboarr obrora obroar obrroa obrrao obraro obraor obaorr obaorr obaror
obarro obarro obaror oobrra oobrar oobrra oobrar oobarr oobarr oorbra oorbar
oorrba oorrab oorarb oorabr oorrba oorrab oorbra oorbar oorabr oorarb ooarrb
ooarbr ooarrb ooarbr ooabrr ooabrr orbora orboar orbroa orbrao orbaro orbaor
orobra orobar ororba ororab oroarb oroabr orroba orroab orrboa orrbao orrabo
orraob oraorb oraobr orarob orarbo orabro orabor oaborr oaborr oabror oabrro
oabrro oabror oaobrr oaobrr oaorbr oaorrb oaorrb oaorbr oarobr oarorb oarbor
oarbro oarrbo oarrob oarorb oarobr oarrob oarrbo oarbro oarbor borora boroar
borroa borrao boraro boraor boorra boorar boorra boorar booarr booarr borora
boroar borroa borrao boraro boraor boaorr boaorr boaror boarro boarro boaror
broora brooar broroa brorao broaro broaor broora brooar broroa brorao broaro
broaor brrooa brroao brrooa brroao brraoo brraoo braoro braoor braroo braroo
braoro braoor borora boroar borroa borrao boraro boraor boorra boorar boorra
boorar booarr booarr borora boroar borroa borrao boraro boraor boaorr boaorr
boaror boarro boarro boaror brrooa brroao brrooa brroao brraoo brraoo broroa
brorao broora brooar broaor broaro broora brooar broroa brorao broaro broaor
braoor braoro braoor braoro braroo braroo baroro baroor barroo barroo baroro
baroor baorro baoror baorro baoror baoorr baoorr baroro baroor barroo barroo
baroro baroor baoorr baoorr baoror baorro baorro baoror oobrra oobrar oobrra
oobrar oobarr oobarr oorbra oorbar oorrba oorrab oorarb oorabr oorrba oorrab
oorbra oorbar oorabr oorarb ooarrb ooarbr ooarrb ooarbr ooabrr ooabrr oborra
oborar oborra oborar oboarr oboarr obrora obroar obrroa obrrao obraro obraor
obrroa obrrao obrora obroar obraor obraro obarro obaror obarro obaror obaorr
obaorr orbora orboar orbroa orbrao orbaro orbaor orobra orobar ororba ororab
oroarb oroabr orroba orroab orrboa orrbao orrabo orraob oraorb oraobr orarob
orarbo orabro orabor orbroa orbrao orbora orboar orbaor orbaro orrboa orrbao
orroba orroab orraob orrabo ororba ororab orobra orobar oroabr oroarb orarob
orarbo oraorb oraobr orabor orabro oabrro oabror oabrro oabror oaborr oaborr
oarbro oarbor oarrbo oarrob oarorb oarobr oarrbo oarrob oarbro oarbor oarobr
oarorb oaorrb oaorbr oaorrb oaorbr oaobrr oaobrr robora roboar robroa robrao
robaro robaor roobra roobar roorba roorab rooarb rooabr roroba roroab rorboa
rorbao rorabo roraob roaorb roaobr roarob roarbo roabro roabor rboora rbooar
rboroa rborao rboaro rboaor rboora rbooar rboroa rborao rboaro rboaor rbrooa
rbroao rbrooa rbroao rbraoo rbraoo rbaoro rbaoor rbaroo rbaroo rbaoro rbaoor
robora roboar robroa robrao robaro robaor roobra roobar roorba roorab rooarb
rooabr roroba roroab rorboa rorbao rorabo roraob roaorb roaobr roarob roarbo
roabro roabor rrbooa rrboao rrbooa rrboao rrbaoo rrbaoo rroboa rrobao rrooba
rrooab rroaob rroabo rrooba rrooab rroboa rrobao rroabo rroaob rraoob rraobo
rraoob rraobo rraboo rraboo raboro raboor rabroo rabroo raboro raboor raobro
raobor raorbo raorob raoorb raoobr rarobo raroob rarboo rarboo rarobo raroob
raoorb raoobr raorob raorbo raobro raobor aoborr aoborr aobror aobrro aobrro
aobror aoobrr aoobrr aoorbr aoorrb aoorrb aoorbr aorobr aororb aorbor aorbro
aorrbo aorrob aororb aorobr aorrob aorrbo aorbro aorbor aboorr aboorr aboror
aborro aborro aboror aboorr aboorr aboror aborro aborro aboror abroor abroro
abroor abroro abrroo abrroo abroro abroor abrroo abrroo abroro abroor aoborr
aoborr aobror aobrro aobrro aobror aoobrr aoobrr aoorbr aoorrb aoorrb aoorbr
aorobr aororb aorbor aorbro aorrbo aorrob aororb aorobr aorrob aorrbo aorbro
aorbor arboor arboro arboor arboro arbroo arbroo arobor arobro aroobr aroorb
arorob arorbo aroobr aroorb arobor arobro arorbo arorob arroob arrobo arroob
arrobo arrboo arrboo arboro arboor arbroo arbroo arboro arboor arobro arobor
arorbo arorob aroorb aroobr arrobo arroob arrboo arrboo arrobo arroob aroorb
aroobr arorob arorbo arobro arobor

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