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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: chiyuan
cipher variations:
dijzvbo ejkawcp fklbxdq glmcyer hmndzfs
inoeagt jopfbhu kpqgciv lqrhdjw mrsiekx
nstjfly otukgmz puvlhna qvwmiob rwxnjpc
sxyokqd tyzplre uzaqmsf vabrntg wbcsouh
xcdtpvi ydeuqwj zefvrxk afgwsyl bghxtzm

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: chiyuan
Cipher: xsrbfzm

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: chiyuan
Cipher: AAABA AABBB ABAAA BABBA BAABB AAAAA ABBAA

Read more ...

 

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: chiyuan
cipher variations:
dijzvbohwzvjbolkprxbopyfnlbotmvjzboxalfnbofcrxpbojqhtdbo
nexprborsnlfbovgdhtbozutdhboejkawcpixawkcpmlqsycpqzgomcp
unwkacpybmgocpgdsyqcpkriuecpofyqscpstomgcpwheiucpavueicp
fklbxdqjybxldqnmrtzdqrahpndqvoxlbdqzcnhpdqhetzrdqlsjvfdq
pgzrtdqtupnhdqxifjvdqbwvfjdqglmcyerkzcymeronsuaersbiqoer
wpymceradoiqerifuasermtkwgerqhasueruvqoieryjgkwercxwgker
hmndzfsladznfspotvbfstcjrpfsxqzndfsbepjrfsjgvbtfsnulxhfs
ribtvfsvwrpjfszkhlxfsdyxhlfsinoeagtmbeaogtqpuwcgtudksqgt
yraoegtcfqksgtkhwcugtovmyigtsjcuwgtwxsqkgtalimygtezyimgt
jopfbhuncfbphurqvxdhuveltrhuzsbpfhudgrlthulixdvhupwnzjhu
tkdvxhuxytrlhubmjnzhufazjnhukpqgcivodgcqivsrwyeivwfmusiv
atcqgivehsmuivmjyewivqxoakivulewyivyzusmivcnkoaivgbakoiv
lqrhdjwpehdrjwtsxzfjwxgnvtjwbudrhjwfitnvjwnkzfxjwrypbljw
vmfxzjwzavtnjwdolpbjwhcblpjwmrsiekxqfieskxutyagkxyhowukx
cvesikxgjuowkxolagykxszqcmkxwngyakxabwuokxepmqckxidcmqkx
nstjflyrgjftlyvuzbhlyzipxvlydwftjlyhkvpxlypmbhzlytardnly
xohzblybcxvplyfqnrdlyjednrlyotukgmzshkgumzwvacimzajqywmz
exgukmzilwqymzqnciamzubseomzypiacmzcdywqmzgrosemzkfeosmz
puvlhnatilhvnaxwbdjnabkrzxnafyhvlnajmxrznarodjbnavctfpna
zqjbdnadezxrnahsptfnalgfptnaqvwmiobujmiwobyxcekobclsayob
gziwmobknysaobspekcobwdugqobarkceobefaysobitqugobmhgquob
rwxnjpcvknjxpczydflpcdmtbzpchajxnpcloztbpctqfldpcxevhrpc
bsldfpcfgbztpcjurvhpcnihrvpcsxyokqdwlokyqdazegmqdenucaqd
ibkyoqdmpaucqdurgmeqdyfwisqdctmegqdghcauqdkvswiqdojiswqd
tyzplrexmplzrebafhnrefovdbrejclzprenqbvdrevshnfrezgxjtre
dunfhrehidbvrelwtxjrepkjtxreuzaqmsfynqmasfcbgiosfgpwecsf
kdmaqsforcwesfwtiogsfahykusfevogisfijecwsfmxuyksfqlkuysf
vabrntgzornbtgdchjptghqxfdtglenbrtgpsdxftgxujphtgbizlvtg
fwphjtgjkfdxtgnyvzltgrmlvztgwbcsouhapsocuhedikquhirygeuh
mfocsuhqteyguhyvkqiuhcjamwuhgxqikuhklgeyuhozwamuhsnmwauh
xcdtpvibqtpdvifejlrvijszhfvingpdtvirufzhvizwlrjvidkbnxvi
hyrjlvilmhfzvipaxbnvitonxbviydeuqwjcruqewjgfkmswjktaigwj
ohqeuwjsvgaiwjaxmskwjelcoywjizskmwjmnigawjqbycowjupoycwj
zefvrxkdsvrfxkhglntxklubjhxkpirfvxktwhbjxkbyntlxkfmdpzxk
jatlnxknojhbxkrczdpxkvqpzdxkafgwsyletwsgylihmouylmvckiyl
qjsgwyluxickylczoumylgneqaylkbumoylopkicylsdaeqylwrqaeyl
bghxtzmfuxthzmjinpvzmnwdljzmrkthxzmvyjdlzmdapvnzmhofrbzm
lcvnpzmpqljdzmtebfrzmxsrbfzmchiyuangvyuiankjoqwanoxemkan
sluiyanwzkemanebqwoanipgscanmdwoqanqrmkeanufcgsanytscgan

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: chiyuan
Cipher: puvlhna

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: chiyuan
Cipher: 31324245541133

Extended Methods:
Method #1

Plaintext: chiyuan
method variations:
hnodzfsnstielxsxyokqcxcdtpvh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath: 
c h i y u a n 
3 3 4 4 5 1 3 
1 2 2 5 4 1 3
They are then read out in rows:
33445131225413
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: chiyuan
Cipher: ntecgul

Read more ...
Method #3

Plaintext: chiyuan
method variations:
lrrzdln rrzdlnl rzdlnlr
zdlnlrr dlnlrrz lnlrrzd
nlrrzdl

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: chiyuan

all 5040 cipher variations:
chiyuan chiyuna chiyaun chiyanu chiynau chiynua chiuyan chiuyna chiuayn chiuany chiunay
chiunya chiauyn chiauny chiayun chiaynu chianyu chianuy chinuay chinuya chinauy chinayu
chinyau chinyua chyiuan chyiuna chyiaun chyianu chyinau chyinua chyuian chyuina chyuain
chyuani chyunai chyunia chyauin chyauni chyaiun chyainu chyaniu chyanui chynuai chynuia
chynaui chynaiu chyniau chyniua chuyian chuyina chuyain chuyani chuynai chuynia chuiyan
chuiyna chuiayn chuiany chuinay chuinya chuaiyn chuainy chuayin chuayni chuanyi chuaniy
chuniay chuniya chunaiy chunayi chunyai chunyia chayuin chayuni chayiun chayinu chayniu
chaynui chauyin chauyni chauiyn chauiny chauniy chaunyi chaiuyn chaiuny chaiyun chaiynu
chainyu chainuy chanuiy chanuyi chaniuy chaniyu chanyiu chanyui chnyuai chnyuia chnyaui
chnyaiu chnyiau chnyiua chnuyai chnuyia chnuayi chnuaiy chnuiay chnuiya chnauyi chnauiy
chnayui chnayiu chnaiyu chnaiuy chniuay chniuya chniauy chniayu chniyau chniyua cihyuan
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nhcaiuy nhciuay nhciuya nhciauy nhciayu nhciyau nhciyua nihyuac nihyuca nihyauc nihyacu
nihycau nihycua nihuyac nihuyca nihuayc nihuacy nihucay nihucya nihauyc nihaucy nihayuc
nihaycu nihacyu nihacuy nihcuay nihcuya nihcauy nihcayu nihcyau nihcyua niyhuac niyhuca
niyhauc niyhacu niyhcau niyhcua niyuhac niyuhca niyuahc niyuach niyucah niyucha niyauhc
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niucyah niucyha niayuhc niayuch niayhuc niayhcu niaychu niaycuh niauyhc niauych niauhyc
niauhcy niauchy niaucyh niahuyc niahucy niahyuc niahycu niahcyu niahcuy niacuhy niacuyh
niachuy niachyu niacyhu niacyuh nicyuah nicyuha nicyauh nicyahu nicyhau nicyhua nicuyah
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nichuay nichuya nichauy nichayu nichyau nichyua nyihuac nyihuca nyihauc nyihacu nyihcau
nyihcua nyiuhac nyiuhca nyiuahc nyiuach nyiucah nyiucha nyiauhc nyiauch nyiahuc nyiahcu
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nyuaihc nyuaich nyuahic nyuahci nyuachi nyuacih nyuciah nyuciha nyucaih nyucahi nyuchai
nyuchia nyahuic nyahuci nyahiuc nyahicu nyahciu nyahcui nyauhic nyauhci nyauihc nyauich
nyaucih nyauchi nyaiuhc nyaiuch nyaihuc nyaihcu nyaichu nyaicuh nyacuih nyacuhi nyaciuh
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nuiachy nuichay nuichya nuicahy nuicayh nuicyah nuicyha nuyihac nuyihca nuyiahc nuyiach
nuyicah nuyicha nuyhiac nuyhica nuyhaic nuyhaci nuyhcai nuyhcia nuyahic nuyahci nuyaihc
nuyaich nuyacih nuyachi nuychai nuychia nuycahi nuycaih nuyciah nuyciha nuhyiac nuhyica
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nuhaicy nuhayic nuhayci nuhacyi nuhaciy nuhciay nuhciya nuhcaiy nuhcayi nuhcyai nuhcyia
nuayhic nuayhci nuayihc nuayich nuaycih nuaychi nuahyic nuahyci nuahiyc nuahicy nuahciy
nuahcyi nuaihyc nuaihcy nuaiyhc nuaiych nuaicyh nuaichy nuachiy nuachyi nuacihy nuaciyh
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nuciahy nuciayh nuciyah nuciyha naiyuhc naiyuch naiyhuc naiyhcu naiychu naiycuh naiuyhc
naiuych naiuhyc naiuhcy naiuchy naiucyh naihuyc naihucy naihyuc naihycu naihcyu naihcuy
naicuhy naicuyh naichuy naichyu naicyhu naicyuh nayiuhc nayiuch nayihuc nayihcu nayichu
nayicuh nayuihc nayuich nayuhic nayuhci nayuchi nayucih nayhuic nayhuci nayhiuc nayhicu
nayhciu nayhcui naycuhi naycuih naychui naychiu naycihu nayciuh nauyihc nauyich nauyhic
nauyhci nauychi nauycih nauiyhc nauiych nauihyc nauihcy nauichy nauicyh nauhiyc nauhicy
nauhyic nauhyci nauhcyi nauhciy naucihy nauciyh nauchiy nauchyi naucyhi naucyih nahyuic
nahyuci nahyiuc nahyicu nahyciu nahycui nahuyic nahuyci nahuiyc nahuicy nahuciy nahucyi
nahiuyc nahiucy nahiyuc nahiycu nahicyu nahicuy nahcuiy nahcuyi nahciuy nahciyu nahcyiu
nahcyui nacyuhi nacyuih nacyhui nacyhiu nacyihu nacyiuh nacuyhi nacuyih nacuhyi nacuhiy
nacuihy nacuiyh nachuyi nachuiy nachyui nachyiu nachiyu nachiuy naciuhy naciuyh nacihuy
nacihyu naciyhu naciyuh nciyuah nciyuha nciyauh nciyahu nciyhau nciyhua nciuyah nciuyha
nciuayh nciuahy nciuhay nciuhya nciauyh nciauhy nciayuh nciayhu nciahyu nciahuy ncihuay
ncihuya ncihauy ncihayu ncihyau ncihyua ncyiuah ncyiuha ncyiauh ncyiahu ncyihau ncyihua
ncyuiah ncyuiha ncyuaih ncyuahi ncyuhai ncyuhia ncyauih ncyauhi ncyaiuh ncyaihu ncyahiu
ncyahui ncyhuai ncyhuia ncyhaui ncyhaiu ncyhiau ncyhiua ncuyiah ncuyiha ncuyaih ncuyahi
ncuyhai ncuyhia ncuiyah ncuiyha ncuiayh ncuiahy ncuihay ncuihya ncuaiyh ncuaihy ncuayih
ncuayhi ncuahyi ncuahiy ncuhiay ncuhiya ncuhaiy ncuhayi ncuhyai ncuhyia ncayuih ncayuhi
ncayiuh ncayihu ncayhiu ncayhui ncauyih ncauyhi ncauiyh ncauihy ncauhiy ncauhyi ncaiuyh
ncaiuhy ncaiyuh ncaiyhu ncaihyu ncaihuy ncahuiy ncahuyi ncahiuy ncahiyu ncahyiu ncahyui
nchyuai nchyuia nchyaui nchyaiu nchyiau nchyiua nchuyai nchuyia nchuayi nchuaiy nchuiay
nchuiya nchauyi nchauiy nchayui nchayiu nchaiyu nchaiuy nchiuay nchiuya nchiauy nchiayu
nchiyau nchiyua

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History of cryptography
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