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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: tapalo
cipher variations:
ubqbmp vcrcnq wdsdor xeteps yfufqt
zgvgru ahwhsv bixitw cjyjux dkzkvy
elalwz fmbmxa gncnyb hodozc ipepad
jqfqbe krgrcf lshsdg mtiteh nujufi
ovkvgj pwlwhk qxmxil rynyjm szozkn

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: tapalo
Cipher: gzkzol

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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: tapalo
Cipher: BAABA AAAAA ABBBA AAAAA ABABA ABBAB

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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: tapalo
cipher variations:
ubqbmpgbubirsbybetebcbavqbgbwxcbkbszabsbkdmbwbgf
ybabchkbebyjwbibulibmbqnvcrcnqhcvcjstczcfufcdcbw
rchcxydclctabctclencxchgzcbcdilcfczkxcjcvmjcncro
wdsdoridwdktudadgvgdedcxsdidyzedmdubcdudmfodydih
adcdejmdgdalydkdwnkdodspxetepsjexeluvebehwhefedy
tejezafenevcdevengpezejibedefknehebmzelexolepetq
yfufqtkfyfmvwfcfixifgfezufkfabgfofwdefwfohqfafkj
cfefglofifcnafmfypmfqfurzgvgrulgzgnwxgdgjyjghgfa
vglgbchgpgxefgxgpirgbglkdgfghmpgjgdobgngzqngrgvs
ahwhsvmhahoxyhehkzkhihgbwhmhcdihqhyfghyhqjshchml
ehghinqhkhepchoharohshwtbixitwnibipyzifilalijihc
xinidejirizghizirktidinmfihijorilifqdipibspitixu
cjyjuxojcjqzajgjmbmjkjidyjojefkjsjahijajslujejon
gjijkpsjmjgrejqjctqjujyvdkzkvypkdkrabkhkncnklkje
zkpkfglktkbijkbktmvkfkpohkjklqtknkhsfkrkdurkvkzw
elalwzqlelsbclilodolmlkfalqlghmlulcjklclunwlglqp
ilklmrulolitglslevslwlaxfmbmxarmfmtcdmjmpepmnmlg
bmrmhinmvmdklmdmvoxmhmrqjmlmnsvmpmjuhmtmfwtmxmby
gncnybsngnudenknqfqnonmhcnsnijonwnelmnenwpyninsr
knmnotwnqnkvinungxunynczhodozctohovefolorgroponi
dotojkpoxofmnofoxqzojotslonopuxorolwjovohyvozoda
ipepadupipwfgpmpshspqpojepupklqpypgnopgpyrapkput
mpopqvypspmxkpwpizwpapebjqfqbevqjqxghqnqtitqrqpk
fqvqlmrqzqhopqhqzsbqlqvunqpqrwzqtqnylqxqjaxqbqfc
krgrcfwrkryhirorujursrqlgrwrmnsraripqriratcrmrwv
orqrsxarurozmryrkbyrcrgdlshsdgxslszijspsvkvstsrm
hsxsnotsbsjqrsjsbudsnsxwpsrstybsvspanszslczsdshe
mtitehytmtajktqtwlwtutsnitytoputctkrstktcvetotyx
qtstuzctwtqbotatmdatetifnujufizunubkluruxmxuvuto
juzupqvudulstuludwfupuzyrutuvaduxurcpubunebufujg
ovkvgjavovclmvsvynyvwvupkvavqrwvevmtuvmvexgvqvaz
svuvwbevyvsdqvcvofcvgvkhpwlwhkbwpwdmnwtwzozwxwvq
lwbwrsxwfwnuvwnwfyhwrwbatwvwxcfwzwterwdwpgdwhwli
qxmxilcxqxenoxuxapaxyxwrmxcxstyxgxovwxoxgzixsxcb
uxwxydgxaxufsxexqhexixmjrynyjmdyryfopyvybqbyzyxs
nydytuzyhypwxypyhajytydcvyxyzehybyvgtyfyrifyjynk
szozknezszgpqzwzcrczazytozezuvazizqxyzqzibkzuzed
wzyzafizczwhuzgzsjgzkzoltapalofatahqraxadsdabazu
pafavwbajaryzarajclavafexazabgjadaxivahatkhalapm

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: tapalo
Cipher: gncnyb

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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: tapalo
Cipher: 441153111343

Extended Methods:
Method #1

Plaintext: tapalo
method variations:
yfufqtdlzlvyiqeqadovkvfi

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
t a p a l o 
4 1 5 1 1 4 
4 1 3 1 3 3 
They are then read out in rows:
415114413133
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: tapalo
Cipher: deqdcn

Read more ...
Method #3

Plaintext: tapalo
method variations:
dvcass vcassd cassdv
assdvc ssdvca sdvcas

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: tapalo

all 720 cipher variations:
tapalo tapaol taplao taploa tapola tapoal taaplo taapol taalpo taalop taaolp
taaopl talapo talaop talpao talpoa talopa taloap taoalp taoapl taolap taolpa
taopla taopal tpaalo tpaaol tpalao tpaloa tpaola tpaoal tpaalo tpaaol tpalao
tpaloa tpaola tpaoal tplaao tplaoa tplaao tplaoa tploaa tploaa tpoala tpoaal
tpolaa tpolaa tpoala tpoaal tapalo tapaol taplao taploa tapola tapoal taaplo
taapol taalpo taalop taaolp taaopl talapo talaop talpao talpoa talopa taloap
taoalp taoapl taolap taolpa taopla taopal tlpaao tlpaoa tlpaao tlpaoa tlpoaa
tlpoaa tlapao tlapoa tlaapo tlaaop tlaoap tlaopa tlaapo tlaaop tlapao tlapoa
tlaopa tlaoap tloaap tloapa tloaap tloapa tlopaa tlopaa topala topaal toplaa
toplaa topala topaal toapla toapal toalpa toalap toaalp toaapl tolapa tolaap
tolpaa tolpaa tolapa tolaap toaalp toaapl toalap toalpa toapla toapal atpalo
atpaol atplao atploa atpola atpoal ataplo atapol atalpo atalop ataolp ataopl
atlapo atlaop atlpao atlpoa atlopa atloap atoalp atoapl atolap atolpa atopla
atopal aptalo aptaol aptlao aptloa aptola aptoal apatlo apatol apalto apalot
apaolt apaotl aplato aplaot apltao apltoa aplota aploat apoalt apoatl apolat
apolta apotla apotal aaptlo aaptol aaplto aaplot aapolt aapotl aatplo aatpol
aatlpo aatlop aatolp aatopl aaltpo aaltop aalpto aalpot aalopt aalotp aaotlp
aaotpl aaoltp aaolpt aaoplt aaoptl alpato alpaot alptao alptoa alpota alpoat
alapto alapot alatpo alatop alaotp alaopt altapo altaop altpao altpoa altopa
altoap aloatp aloapt alotap alotpa alopta alopat aopalt aopatl aoplat aoplta
aoptla aoptal aoaplt aoaptl aoalpt aoaltp aoatlp aoatpl aolapt aolatp aolpat
aolpta aoltpa aoltap aotalp aotapl aotlap aotlpa aotpla aotpal patalo pataol
patlao patloa patola patoal paatlo paatol paalto paalot paaolt paaotl palato
palaot paltao paltoa palota paloat paoalt paoatl paolat paolta paotla paotal
ptaalo ptaaol ptalao ptaloa ptaola ptaoal ptaalo ptaaol ptalao ptaloa ptaola
ptaoal ptlaao ptlaoa ptlaao ptlaoa ptloaa ptloaa ptoala ptoaal ptolaa ptolaa
ptoala ptoaal patalo pataol patlao patloa patola patoal paatlo paatol paalto
paalot paaolt paaotl palato palaot paltao paltoa palota paloat paoalt paoatl
paolat paolta paotla paotal pltaao pltaoa pltaao pltaoa pltoaa pltoaa platao
platoa plaato plaaot plaoat plaota plaato plaaot platao platoa plaota plaoat
ploaat ploata ploaat ploata plotaa plotaa potala potaal potlaa potlaa potala
potaal poatla poatal poalta poalat poaalt poaatl polata polaat poltaa poltaa
polata polaat poaalt poaatl poalat poalta poatla poatal aaptlo aaptol aaplto
aaplot aapolt aapotl aatplo aatpol aatlpo aatlop aatolp aatopl aaltpo aaltop
aalpto aalpot aalopt aalotp aaotlp aaotpl aaoltp aaolpt aaoplt aaoptl apatlo
apatol apalto apalot apaolt apaotl aptalo aptaol aptlao aptloa aptola aptoal
apltao apltoa aplato aplaot aploat aplota apotla apotal apolta apolat apoalt
apoatl atpalo atpaol atplao atploa atpola atpoal ataplo atapol atalpo atalop
ataolp ataopl atlapo atlaop atlpao atlpoa atlopa atloap atoalp atoapl atolap
atolpa atopla atopal alptao alptoa alpato alpaot alpoat alpota altpao altpoa
altapo altaop altoap altopa alatpo alatop alapto alapot alaopt alaotp alotap
alotpa aloatp aloapt alopat alopta aoptla aoptal aoplta aoplat aopalt aopatl
aotpla aotpal aotlpa aotlap aotalp aotapl aoltpa aoltap aolpta aolpat aolapt
aolatp aoatlp aoatpl aoaltp aoalpt aoaplt aoaptl lapato lapaot laptao laptoa
lapota lapoat laapto laapot laatpo laatop laaotp laaopt latapo lataop latpao
latpoa latopa latoap laoatp laoapt laotap laotpa laopta laopat lpaato lpaaot
lpatao lpatoa lpaota lpaoat lpaato lpaaot lpatao lpatoa lpaota lpaoat lptaao
lptaoa lptaao lptaoa lptoaa lptoaa lpoata lpoaat lpotaa lpotaa lpoata lpoaat
lapato lapaot laptao laptoa lapota lapoat laapto laapot laatpo laatop laaotp
laaopt latapo lataop latpao latpoa latopa latoap laoatp laoapt laotap laotpa
laopta laopat ltpaao ltpaoa ltpaao ltpaoa ltpoaa ltpoaa ltapao ltapoa ltaapo
ltaaop ltaoap ltaopa ltaapo ltaaop ltapao ltapoa ltaopa ltaoap ltoaap ltoapa
ltoaap ltoapa ltopaa ltopaa lopata lopaat loptaa loptaa lopata lopaat loapta
loapat loatpa loatap loaatp loaapt lotapa lotaap lotpaa lotpaa lotapa lotaap
loaatp loaapt loatap loatpa loapta loapat oapalt oapatl oaplat oaplta oaptla
oaptal oaaplt oaaptl oaalpt oaaltp oaatlp oaatpl oalapt oalatp oalpat oalpta
oaltpa oaltap oatalp oatapl oatlap oatlpa oatpla oatpal opaalt opaatl opalat
opalta opatla opatal opaalt opaatl opalat opalta opatla opatal oplaat oplata
oplaat oplata opltaa opltaa optala optaal optlaa optlaa optala optaal oapalt
oapatl oaplat oaplta oaptla oaptal oaaplt oaaptl oaalpt oaaltp oaatlp oaatpl
oalapt oalatp oalpat oalpta oaltpa oaltap oatalp oatapl oatlap oatlpa oatpla
oatpal olpaat olpata olpaat olpata olptaa olptaa olapat olapta olaapt olaatp
olatap olatpa olaapt olaatp olapat olapta olatpa olatap oltaap oltapa oltaap
oltapa oltpaa oltpaa otpala otpaal otplaa otplaa otpala otpaal otapla otapal
otalpa otalap otaalp otaapl otlapa otlaap otlpaa otlpaa otlapa otlaap otaalp
otaapl otalap otalpa otapla otapal

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

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