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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: deflective
cipher variations:
efgmfdujwf fghngevkxg ghiohfwlyh hijpigxmzi ijkqjhynaj
jklrkizobk klmsljapcl lmntmkbqdm mnounlcren nopvomdsfo
opqwpnetgp pqrxqofuhq qrsyrpgvir rstzsqhwjs stuatrixkt
tuvbusjylu uvwcvtkzmv vwxdwulanw wxyexvmbox xyzfywncpy
yzagzxodqz zabhaypera abcibzqfsb bcdjcargtc cdekdbshud

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: deflective
Cipher: wvuovxgrev

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: deflective
Cipher: AAABB AABAA AABAB ABABA AABAA AAABA BAABA ABAAA BBBAB AABAA

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: deflective
cipher variations:
efgmfdujwfknqinhgzmnqvaevlspcvwdkadpefsdcluwltqvilitestxclytujykjfarejarigrjmhur
gzscznyxkzmhcyhrknahspmupvwdqpyxwqxzitgxfghngevkxglorjoihanorwbfwmtqdwxelbeqfgte
dmvxmurwjmjuftuydmzuvkzlkgbsfkbsjhsknivshatdaozylanidzislobitqnvqwxerqzyxryajuhy
ghiohfwlyhmpskpjibopsxcgxnurexyfmcfrghufenwynvsxknkvguvzenavwlamlhctglctkitlojwt
ibuebpazmbojeajtmpcjurowrxyfsrazyszbkvizhijpigxmzinqtlqkjcpqtydhyovsfyzgndgshivg
foxzowtylolwhvwafobwxmbnmiduhmduljumpkxujcvfcqbancpkfbkunqdkvspxsyzgtsbaztaclwja
ijkqjhynajorumrlkdqruzeizpwtgzahoehtijwhgpyapxuzmpmxiwxbgpcxynconjevinevmkvnqlyv
kdwgdrcbodqlgclvorelwtqytzahutcbaubdmxkbjklrkizobkpsvnsmlersvafjaqxuhabipfiujkxi
hqzbqyvanqnyjxychqdyzodpokfwjofwnlwormzwlexhesdcpermhdmwpsfmxurzuabivudcbvcenylc
klmsljapclqtwotnmfstwbgkbryvibcjqgjvklyjiracrzwborozkyzdirezapeqplgxkpgxomxpsnax
mfyiftedqfsnienxqtgnyvsavbcjwvedcwdfozmdlmntmkbqdmruxpuongtuxchlcszwjcdkrhkwlmzk
jsbdsaxcpspalzaejsfabqfrqmhylqhypnyqtobyngzjgufergtojfoyruhozwtbwcdkxwfedxegpane
mnounlcrensvyqvpohuvydimdtaxkdelsilxmnalktcetbydqtqbmabfktgbcrgsrnizmrizqozrupcz
ohakhvgfshupkgpzsvipaxucxdelyxgfeyfhqbofnopvomdsfotwzrwqpivwzejneubylefmtjmynobm
ludfuczerurcnbcgluhcdshtsojansjarpasvqdapibliwhgtivqlhqatwjqbyvdyefmzyhgfzgircpg
opqwpnetgpuxasxrqjwxafkofvczmfgnuknzopcnmvegvdafsvsdocdhmvidetiutpkbotkbsqbtwreb
qjcmjxihujwrmirbuxkrczwezfgnazihgahjsdqhpqrxqofuhqvybtysrkxybglpgwdanghovloapqdo
nwfhwebgtwtepdeinwjefujvuqlcpulctrcuxsfcrkdnkyjivkxsnjscvylsdaxfaghobajihbikteri
qrsyrpgvirwzcuztslyzchmqhxebohipwmpbqrepoxgixfchuxufqefjoxkfgvkwvrmdqvmdusdvytgd
sleolzkjwlytoktdwzmtebygbhipcbkjicjlufsjrstzsqhwjsxadvautmzadinriyfcpijqxnqcrsfq
pyhjygdivyvgrfgkpylghwlxwsnerwnevtewzuhetmfpmalkxmzupluexanufczhcijqdclkjdkmvgtk
stuatrixktybewbvunabejosjzgdqjkryordstgrqzikzhejwzwhsghlqzmhixmyxtofsxofwufxavif
ungqnbmlynavqmvfybovgdaidjkredmlkelnwhultuvbusjyluzcfxcwvobcfkptkaherklszpsetuhs
rajlaifkxaxithimranijynzyupgtypgxvgybwjgvohrocnmzobwrnwgzcpwhebjeklsfenmlfmoxivm
uvwcvtkzmvadgydxwpcdglqulbifslmtaqtfuvitsbkmbjglybyjuijnsbojkzoazvqhuzqhywhzcxkh
wpispdonapcxsoxhadqxifckflmtgfonmgnpyjwnvwxdwulanwbehzeyxqdehmrvmcjgtmnubrugvwju
tclnckhmzczkvjkotcpklapbawrivarizxiadylixqjtqepobqdytpyiberyjgdlgmnuhgponhoqzkxo
wxyexvmboxcfiafzyrefinswndkhunovcsvhwxkvudmodlinadalwklpudqlmbqcbxsjwbsjayjbezmj
yrkurfqpcrezuqzjcfszkhemhnovihqpoipralypxyzfywncpydgjbgazsfgjotxoelivopwdtwixylw
venpemjobebmxlmqvermncrdcytkxctkbzkcfankzslvsgrqdsfavrakdgtalifniopwjirqpjqsbmzq
yzagzxodqzehkchbatghkpuypfmjwpqxeuxjyzmxwfoqfnkpcfcnymnrwfsnodsedzulydulcaldgbol
atmwthsretgbwsblehubmjgojpqxkjsrqkrtcnarzabhayperafildicbuhilqvzqgnkxqryfvykzany
xgprgolqdgdoznosxgtopetfeavmzevmdbmehcpmbunxuitsfuhcxtcmfivcnkhpkqrylktsrlsudobs
abcibzqfsbgjmejdcvijmrwarholyrszgwzlabozyhqshpmrehepaoptyhupqfugfbwnafwnecnfidqn
cvoyvjutgvidyudngjwdoliqlrszmlutsmtvepctbcdjcargtchknfkedwjknsxbsipmzstahxambcpa
zirtiqnsfifqbpquzivqrgvhgcxobgxofdogjerodwpzwkvuhwjezveohkxepmjrmstanmvutnuwfqdu
cdekdbshudiloglfexklotyctjqnatubiybncdqbajsujrotgjgrcqrvajwrshwihdypchypgephkfsp
exqaxlwvixkfawfpilyfqnksntubonwvuovxgrevdeflectivejmphmgfylmpuzdukrobuvcjzcoderc
bktvkspuhkhsdrswbkxstixjiezqdizqhfqilgtqfyrbymxwjylgbxgqjmzgroltouvcpoxwvpwyhsfw

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: deflective
Cipher: qrsyrpgvir

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: deflective
Cipher: 41511213513144421551

Extended Methods:
Method #1

Plaintext: deflective
method variations:
iklqkhyoakopqvpndtfptuvausiyluyzafzxodqz

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
d e f l e c t i v e 
4 5 1 1 5 3 4 4 1 5 
1 1 2 3 1 1 4 2 5 1 
They are then read out in rows:
45115344151123114251
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: deflective
Cipher: yaptvamaie

Read more ...
Method #3

Plaintext: deflective
method variations:
vabxlqtbzq abxlqtbzqv bxlqtbzqva
xlqtbzqvab lqtbzqvabx qtbzqvabxl
tbzqvabxlq bzqvabxlqt zqvabxlqtb
qvabxlqtbz

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: deflective

first 5040 cipher variations(3628800 total)
deflective deflectiev deflectvie deflectvei deflectevi deflecteiv deflecitve deflecitev deflecivte deflecivet deflecievt
deflecietv deflecvite deflecviet deflecvtie deflecvtei deflecveti deflecveit defleceivt defleceitv deflecevit deflecevti
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defecvlite defecvliet defecvltie defecvltei defecvleti defecvleit defecveilt defecveitl defecvelit defecvelti defecvetli
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defetvciel defetvclie defetvclei defetvceli defetvceil defetveicl defetveilc defetvecil defetvecli defetvelci defetvelic
defetelivc defetelicv defetelvic defetelvci defetelcvi defetelciv defeteilvc defeteilcv defeteivlc defeteivcl defeteicvl
defeteiclv defetevilc defetevicl defetevlic defetevlci defetevcli defetevcil defetecivl defetecilv defetecvil defetecvli
defeteclvi defetecliv defeictlve defeictlev defeictvle defeictvel defeictevl defeictelv defeicltve defeicltev defeiclvte
defeiclvet defeiclevt defeicletv defeicvlte defeicvlet defeicvtle defeicvtel defeicvetl defeicvelt defeicelvt defeiceltv
defeicevlt defeicevtl defeicetvl defeicetlv defeitclve defeitclev defeitcvle defeitcvel defeitcevl defeitcelv defeitlcve
defeitlcev defeitlvce defeitlvec defeitlevc defeitlecv defeitvlce defeitvlec defeitvcle defeitvcel defeitvecl defeitvelc
defeitelvc defeitelcv defeitevlc defeitevcl defeitecvl defeiteclv defeiltcve defeiltcev defeiltvce defeiltvec defeiltevc
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defeilvetc defeilvect defeilecvt defeilectv defeilevct defeilevtc defeiletvc defeiletcv defeivtlce defeivtlec defeivtcle
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defevilect defevieclt defeviectl defevielct defevieltc defevietlc defevietcl defevltice defevltiec defevltcie defevltcei
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defevelict defeveltic defeveltci defevelcti defevelcit defevecilt defevecitl defeveclit defeveclti defevectli defevectil
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defeetivlc defeetilvc defeetilcv defeetvicl defeetvilc defeetvcil defeetvcli defeetvlci defeetvlic defeetlivc defeetlicv
defeetlvic defeetlvci defeetlcvi defeetlciv defeeitcvl defeeitclv defeeitvcl defeeitvlc defeeitlvc defeeitlcv defeeictvl
defeeictlv defeeicvtl defeeicvlt defeeiclvt defeeicltv defeeivctl defeeivclt defeeivtcl defeeivtlc defeeivltc defeeivlct
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defeevtlic defeevitcl defeevitlc defeevictl defeeviclt defeevilct defeeviltc defeevcitl defeevcilt defeevctil defeevctli
defeevclti defeevclit defeevlict defeevlitc defeevlcit defeevlcti defeevltci defeevltic defeeltivc defeelticv defeeltvic
defeeltvci defeeltcvi defeeltciv defeelitvc defeelitcv defeelivtc defeelivct defeelicvt defeelictv defeelvitc defeelvict
defeelvtic defeelvtci defeelvcti defeelvcit defeelcivt defeelcitv defeelcvit defeelcvti defeelctvi defeelctiv defceltive
defceltiev defceltvie defceltvei defceltevi defcelteiv defcelitve defcelitev defcelivte defcelivet defcelievt defcelietv
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defcetievl defcetielv defcetvile defcetviel defcetvlie defcetvlei defcetveli defcetveil defceteivl defceteilv defcetevil
defcetevli defcetelvi defceteliv defceitlve defceitlev defceitvle defceitvel defceitevl defceitelv defceiltve defceiltev
defceilvte defceilvet defceilevt defceiletv defceivlte defceivlet defceivtle defceivtel defceivetl defceivelt defceielvt
defceieltv defceievlt defceievtl defceietvl defceietlv defcevtile defcevtiel defcevtlie defcevtlei defcevteli defcevteil
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defceetlvi defceetliv defceeitvl defceeitlv defceeivtl defceeivlt defceeilvt defceeiltv defceevitl defceevilt defceevtil
defceevtli defceevlti defceevlit defceelivt defceelitv defceelvit defceelvti defceeltvi defceeltiv defcletive defcletiev
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defclteive defclteiev defcltevie defcltevei defclteevi defclteeiv defcltieve defcltieev defcltivee defcltivee defcltieve
defcltieev defcltviee defcltviee defcltveie defcltveei defcltveei defcltveie defclteive defclteiev defcltevie defcltevei
defclteevi defclteeiv defcliteve defcliteev defclitvee defclitvee defcliteve defcliteev defclietve defclietev defclievte
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defclveiet defclveite defclveeit defclveeti defclvetei defclvetie defcletive defcletiev defcletvie defcletvei defcletevi
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defilveect defilveetc defilvcete defilvceet defilvctee defilvctee defilvcete defilvceet defilveect defilveetc defilvecet
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defveetcil defveeitlc defveeitcl defveeiltc defveeilct defveeiclt defveeictl defveelitc defveelict defveeltic defveeltci
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defeectvli defeectlvi defeectliv defeecitvl defeecitlv defeecivtl defeecivlt defeecilvt defeeciltv defeecvitl defeecvilt
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History of cryptography
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