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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: gngate
cipher variations:
hohbuf ipicvg jqjdwh krkexi lslfyj
mtmgzk nunhal ovoibm pwpjcn qxqkdo
ryrlep szsmfq tatngr ubuohs vcvpit
wdwqju xexrkv yfyslw zgztmx ahauny
bibvoz cjcwpa dkdxqb eleyrc fmfzsd

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: gngate
Cipher: tmtzgv

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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: gngate
Cipher: AABBA ABBAA AABBA AAAAA BAABA AABAA

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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: gngate
cipher variations:
hohbuftotbgnfofbsvrorbeddodbqlpopbctnonbajzozbmr
lolbyzxoxbkhjojbwpvovbixipicvgupuchogpgctwspscfe
epecrmqpqcduopocbkapacnsmpmczaypyclikpkcxqwpwcjy
jqjdwhvqvdiphqhduxtqtdgffqfdsnrqrdevpqpdclbqbdot
nqndabzqzdmjlqldyrxqxdkzkrkexiwrwejqirievyuruehg
grgetosrsefwqrqedmcrcepuoroebcaraenkmrmezsyryela
lslfyjxsxfkrjsjfwzvsvfihhshfuptstfgxrsrfendsdfqv
pspfcdbsbfolnsnfatzszfmbmtmgzkytyglsktkgxawtwgji
itigvqutughystsgfoetegrwqtqgdectcgpmotogbuatagnc
nunhalzuzhmtlulhybxuxhkjjujhwrvuvhiztuthgpfufhsx
rurhefdudhqnpuphcvbubhodovoibmavainumvmizcyvyilk
kvkixswvwijauvuihqgvgitysvsifgeveiroqvqidwcvcipe
pwpjcnbwbjovnwnjadzwzjmllwljytxwxjkbvwvjirhwhjuz
twtjghfwfjsprwrjexdwdjqfqxqkdocxckpwoxokbeaxaknm
mxmkzuyxyklcwxwkjsixikvauxukhigxgktqsxskfyexekrg
ryrlepdydlqxpyplcfbyblonnynlavzyzlmdxyxlktjyjlwb
vyvlijhyhlurtytlgzfyflshszsmfqezemryqzqmdgczcmpo
ozombwazamneyzymlukzkmxcwzwmjkizimvsuzumhagzgmti
tatngrfafnszrarnehdadnqppapncxbabnofzaznmvlalnyd
xaxnkljajnwtvavnibhahnujubuohsgbgotasbsofiebeorq
qbqodycbcopgabaonwmbmozeybyolmkbkoxuwbwojcibiovk
vcvpithchpubtctpgjfcfpsrrcrpezdcdpqhbcbpoxncnpaf
zczpmnlclpyvxcxpkdjcjpwlwdwqjuidiqvcuduqhkgdgqts
sdsqfaedeqricdcqpyodoqbgadaqnomdmqzwydyqlekdkqxm
xexrkvjejrwdvevrilhehruttetrgbfefrsjdedrqzpeprch
bebropnenraxzezrmflelrynyfyslwkfksxewfwsjmifisvu
ufushcgfgstkefesraqfqsdicfcspqofosbyafasngmfmszo
zgztmxlgltyfxgxtknjgjtwvvgvtidhghtulfgftsbrgrtej
dgdtqrpgptczbgbtohngntapahaunymhmuzgyhyulokhkuxw
whwujeihiuvmghgutcshsufkeheursqhqudachcupiohoubq
bibvozninvahzizvmplilvyxxixvkfjijvwnhihvudtitvgl
fifvstrirvebdidvqjpipvcrcjcwpaojowbiajawnqmjmwzy
yjywlgkjkwxoijiwveujuwhmgjgwtusjswfcejewrkqjqwds
dkdxqbpkpxcjbkbxornknxazzkzxmhlklxypjkjxwfvkvxin
hkhxuvtktxgdfkfxslrkrxeteleyrcqlqydkclcypsoloyba
alaynimlmyzqklkyxgwlwyjoiliyvwuluyheglgytmslsyfu
fmfzsdrmrzeldmdzqtpmpzcbbmbzojnmnzarlmlzyhxmxzkp
jmjzwxvmvzifhmhzuntmtzgvgngatesnsafmenearuqnqadc
cncapkonoabsmnmaziynyalqknkaxywnwajginiavounuahw

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: gngate
Cipher: tatngr

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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: gngate
Cipher: 223322114451

Extended Methods:
Method #1

Plaintext: gngate
method variations:
msmfykrxrldpwcwqiubhbvoz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
g n g a t e 
2 3 2 1 4 5 
2 3 2 1 4 1 
They are then read out in rows:
232145232141
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: gngate
Cipher: mbymbd

Read more ...
Method #3

Plaintext: gngate
method variations:
mhbqyf hbqyfm bqyfmh
qyfmhb yfmhbq fmhbqy

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: gngate

all 720 cipher variations:
gngate gngaet gngtae gngtea gngeta gngeat gnagte gnaget gnatge gnateg gnaetg
gnaegt gntage gntaeg gntgae gntgea gntega gnteag gneatg gneagt gnetag gnetga
gnegta gnegat ggnate ggnaet ggntae ggntea ggneta ggneat ggante gganet ggatne
ggaten ggaetn ggaent ggtane ggtaen ggtnae ggtnea ggtena ggtean ggeatn ggeant
ggetan ggetna ggenta ggenat gagnte gagnet gagtne gagten gagetn gagent gangte
ganget gantge ganteg ganetg ganegt gatnge gatneg gatgne gatgen gategn gateng
gaentg gaengt gaetng gaetgn gaegtn gaegnt gtgane gtgaen gtgnae gtgnea gtgena
gtgean gtagne gtagen gtange gtaneg gtaeng gtaegn gtnage gtnaeg gtngae gtngea
gtnega gtneag gteang gteagn gtenag gtenga gtegna gtegan gegatn gegant gegtan
gegtna gegnta gegnat geagtn geagnt geatgn geatng geantg geangt getagn getang
getgan getgna getnga getnag genatg genagt gentag gentga gengta gengat nggate
nggaet nggtae nggtea nggeta nggeat ngagte ngaget ngatge ngateg ngaetg ngaegt
ngtage ngtaeg ngtgae ngtgea ngtega ngteag ngeatg ngeagt ngetag ngetga ngegta
ngegat nggate nggaet nggtae nggtea nggeta nggeat ngagte ngaget ngatge ngateg
ngaetg ngaegt ngtage ngtaeg ngtgae ngtgea ngtega ngteag ngeatg ngeagt ngetag
ngetga ngegta ngegat naggte nagget nagtge nagteg nagetg nagegt naggte nagget
nagtge nagteg nagetg nagegt natgge natgeg natgge natgeg nategg nategg naegtg
naeggt naetgg naetgg naegtg naeggt ntgage ntgaeg ntggae ntggea ntgega ntgeag
ntagge ntageg ntagge ntageg ntaegg ntaegg ntgage ntgaeg ntggae ntggea ntgega
ntgeag nteagg nteagg ntegag ntegga ntegga ntegag negatg negagt negtag negtga
neggta neggat neagtg neaggt neatgg neatgg neagtg neaggt netagg netagg netgag
netgga netgga netgag negatg negagt negtag negtga neggta neggat gngate gngaet
gngtae gngtea gngeta gngeat gnagte gnaget gnatge gnateg gnaetg gnaegt gntage
gntaeg gntgae gntgea gntega gnteag gneatg gneagt gnetag gnetga gnegta gnegat
ggnate ggnaet ggntae ggntea ggneta ggneat ggante gganet ggatne ggaten ggaetn
ggaent ggtane ggtaen ggtnae ggtnea ggtena ggtean ggeatn ggeant ggetan ggetna
ggenta ggenat gagnte gagnet gagtne gagten gagetn gagent gangte ganget gantge
ganteg ganetg ganegt gatnge gatneg gatgne gatgen gategn gateng gaentg gaengt
gaetng gaetgn gaegtn gaegnt gtgane gtgaen gtgnae gtgnea gtgena gtgean gtagne
gtagen gtange gtaneg gtaeng gtaegn gtnage gtnaeg gtngae gtngea gtnega gtneag
gteang gteagn gtenag gtenga gtegna gtegan gegatn gegant gegtan gegtna gegnta
gegnat geagtn geagnt geatgn geatng geantg geangt getagn getang getgan getgna
getnga getnag genatg genagt gentag gentga gengta gengat anggte angget angtge
angteg angetg angegt anggte angget angtge angteg angetg angegt antgge antgeg
antgge antgeg antegg antegg anegtg aneggt anetgg anetgg anegtg aneggt agngte
agnget agntge agnteg agnetg agnegt aggnte aggnet aggtne aggten aggetn aggent
agtgne agtgen agtnge agtneg agteng agtegn agegtn agegnt agetgn agetng agentg
agengt aggnte aggnet aggtne aggten aggetn aggent agngte agnget agntge agnteg
agnetg agnegt agtnge agtneg agtgne agtgen agtegn agteng agentg agengt agetng
agetgn agegtn agegnt atggne atggen atgnge atgneg atgeng atgegn atggne atggen
atgnge atgneg atgeng atgegn atngge atngeg atngge atngeg atnegg atnegg ategng
ateggn atengg atengg ategng ateggn aeggtn aeggnt aegtgn aegtng aegntg aegngt
aeggtn aeggnt aegtgn aegtng aegntg aegngt aetggn aetgng aetggn aetgng aetngg
aetngg aengtg aenggt aentgg aentgg aengtg aenggt tngage tngaeg tnggae tnggea
tngega tngeag tnagge tnageg tnagge tnageg tnaegg tnaegg tngage tngaeg tnggae
tnggea tngega tngeag tneagg tneagg tnegag tnegga tnegga tnegag tgnage tgnaeg
tgngae tgngea tgnega tgneag tgange tganeg tgagne tgagen tgaegn tgaeng tggane
tggaen tggnae tggnea tggena tggean tgeagn tgeang tgegan tgegna tgenga tgenag
tagnge tagneg taggne taggen tagegn tageng tangge tangeg tangge tangeg tanegg
tanegg tagnge tagneg taggne taggen tagegn tageng taengg taengg taegng taeggn
taeggn taegng tggane tggaen tggnae tggnea tggena tggean tgagne tgagen tgange
tganeg tgaeng tgaegn tgnage tgnaeg tgngae tgngea tgnega tgneag tgeang tgeagn
tgenag tgenga tgegna tgegan tegagn tegang teggan teggna tegnga tegnag teaggn
teagng teaggn teagng teangg teangg tegagn tegang teggan teggna tegnga tegnag
tenagg tenagg tengag tengga tengga tengag engatg engagt engtag engtga enggta
enggat enagtg enaggt enatgg enatgg enagtg enaggt entagg entagg entgag entgga
entgga entgag engatg engagt engtag engtga enggta enggat egnatg egnagt egntag
egntga egngta egngat egantg egangt egatng egatgn egagtn egagnt egtang egtagn
egtnag egtnga egtgna egtgan eggatn eggant eggtan eggtna eggnta eggnat eagntg
eagngt eagtng eagtgn eaggtn eaggnt eangtg eanggt eantgg eantgg eangtg eanggt
eatngg eatngg eatgng eatggn eatggn eatgng eagntg eagngt eagtng eagtgn eaggtn
eaggnt etgang etgagn etgnag etgnga etggna etggan etagng etaggn etangg etangg
etagng etaggn etnagg etnagg etngag etngga etngga etngag etgang etgagn etgnag
etgnga etggna etggan eggatn eggant eggtan eggtna eggnta eggnat egagtn egagnt
egatgn egatng egantg egangt egtagn egtang egtgan egtgna egtnga egtnag egnatg
egnagt egntag egntga egngta egngat

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

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