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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: upburn
cipher variations:
vqcvso wrdwtp xsexuq ytfyvr zugzws
avhaxt bwibyu cxjczv dykdaw ezlebx
famfcy gbngdz hcohea idpifb jeqjgc
kfrkhd lgslie mhtmjf niunkg ojvolh
pkwpmi qlxqnj rmyrok snzspl toatqm

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: upburn
Cipher: fkyfim

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: upburn
Cipher: BAABB ABBBA AAAAB BAABB BAAAA ABBAA

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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: upburn
cipher variations:
vqcvsojuejaoxygxiolcilqozgkzyonkmngopsqpwodwsdeo
raurmofewfuotiytcohmahkowrdwtpkvfkbpyzhyjpmdjmrp
ahlazpolnohpqtrqxpextefpsbvsnpgfxgvpujzudpinbilp
xsexuqlwglcqzaizkqneknsqbimbaqpmopiqrusryqfyufgq
tcwtoqhgyhwqvkaveqjocjmqytfyvrmxhmdrabjalroflotr
cjncbrqnpqjrsvtszrgzvghrudxuprihzixrwlbwfrkpdknr
zugzwsnyinesbckbmspgmpusdkodcsroqrkstwutashawhis
veyvqsjiajysxmcxgslqelosavhaxtozjoftcdlcntqhnqvt
elpedtsprsltuxvubtibxijtwfzwrtkjbkztyndyhtmrfmpt
bwibyupakpgudemdouriorwufmqfeutqstmuvywvcujcyjku
xgaxsulkclauzoeziunsgnqucxjczvqblqhvefnepvsjpsxv
gnrgfvurtunvwzxwdvkdzklvyhbytvmldmbvapfajvothorv
dykdawrcmriwfgofqwtkqtywhoshgwvsuvowxayxewlealmw
ziczuwnmencwbqgbkwpuipswezlebxsdnsjxghpgrxulruzx
iptihxwtvwpxybzyfxmfbmnxajdavxonfodxcrhclxqvjqtx
famfcyteotkyhiqhsyvmsvayjqujiyxuwxqyzcazgyngcnoy
bkebwypogpeydsidmyrwkruygbngdzufpulzijritzwntwbz
krvkjzyvxyrzadbahzohdopzclfcxzqphqfzetjenzsxlsvz
hcoheavgqvmajksjuaxouxcalswlkazwyzsabecbiapiepqa
dmgdyarqirgafukfoatymtwaidpifbwhrwnbkltkvbypvydb
mtxmlbaxzatbcfdcjbqjfqrbenhezbsrjshbgvlgpbuznuxb
jeqjgcxisxoclmulwczqwzecnuynmcbyabucdgedkcrkgrsc
foifactsktichwmhqcvaovyckfrkhdyjtypdmnvmxdarxafd
ovzondczbcvdehfeldslhstdgpjgbdutlujdixnirdwbpwzd
lgsliezkuzqenownyebsybgepwapoedacdwefigfmetmitue
hqkhcevumvkejyojsexcqxaemhtmjfalvarfopxozfctzchf
qxbqpfebdexfgjhgnfunjuvfirlidfwvnwlfkzpktfydrybf
niunkgbmwbsgpqypagduadigrycrqgfcefyghkihogvokvwg
jsmjegxwoxmglaqlugzeszcgojvolhcnxcthqrzqbhevbejh
szdsrhgdfgzhiljiphwplwxhktnkfhyxpynhmbrmvhaftadh
pkwpmidoyduirsarcifwcfkitaetsiheghaijmkjqixqmxyi
luolgizyqzoincsnwibgubeiqlxqnjepzevjstbsdjgxdglj
ubfutjifhibjknlkrjyrnyzjmvpmhjazrapjodtoxjchvcfj
rmyrokfqafwktuctekhyehmkvcgvukjgijcklomlskzsozak
nwqnikbasbqkpeupykdiwdgksnzsplgrbgxluvduflizfinl
wdhwvlkhjkdlmpnmtlatpabloxrojlcbtcrlqfvqzlejxehl
toatqmhschymvwevgmjagjomxeixwmliklemnqonumbuqbcm
pyspkmdcudsmrgwramfkyfimupburnitdiznwxfwhnkbhkpn
yfjyxnmjlmfnorpovncvrcdnqztqlnedvetnshxsbnglzgjn

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: upburn
Cipher: hcohea

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: upburn
Cipher: 545321542433

Extended Methods:
Method #1

Plaintext: upburn
method variations:
zugzwsezmebxkerkgcpkwpmh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
u p b u r n 
5 5 2 5 2 3 
4 3 1 4 4 3 
They are then read out in rows:
552523431443
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: upburn
Cipher: zwmoqo

Read more ...
Method #3

Plaintext: upburn
method variations:
yhviox hvioxy vioxyh
ioxyhv oxyhvi xyhvio

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: upburn

all 720 cipher variations:
upburn upbunr upbrun upbrnu upbnru upbnur upubrn upubnr upurbn upurnb upunrb
upunbr uprubn uprunb uprbun uprbnu uprnbu uprnub upnurb upnubr upnrub upnrbu
upnbru upnbur ubpurn ubpunr ubprun ubprnu ubpnru ubpnur ubuprn ubupnr uburpn
uburnp ubunrp ubunpr ubrupn ubrunp ubrpun ubrpnu ubrnpu ubrnup ubnurp ubnupr
ubnrup ubnrpu ubnpru ubnpur uubprn uubpnr uubrpn uubrnp uubnrp uubnpr uupbrn
uupbnr uuprbn uuprnb uupnrb uupnbr uurpbn uurpnb uurbpn uurbnp uurnbp uurnpb
uunprb uunpbr uunrpb uunrbp uunbrp uunbpr urbupn urbunp urbpun urbpnu urbnpu
urbnup urubpn urubnp urupbn urupnb urunpb urunbp urpubn urpunb urpbun urpbnu
urpnbu urpnub urnupb urnubp urnpub urnpbu urnbpu urnbup unburp unbupr unbrup
unbrpu unbpru unbpur unubrp unubpr unurbp unurpb unuprb unupbr unrubp unrupb
unrbup unrbpu unrpbu unrpub unpurb unpubr unprub unprbu unpbru unpbur puburn
pubunr pubrun pubrnu pubnru pubnur puubrn puubnr puurbn puurnb puunrb puunbr
purubn purunb purbun purbnu purnbu purnub punurb punubr punrub punrbu punbru
punbur pbuurn pbuunr pburun pburnu pbunru pbunur pbuurn pbuunr pburun pburnu
pbunru pbunur pbruun pbrunu pbruun pbrunu pbrnuu pbrnuu pbnuru pbnuur pbnruu
pbnruu pbnuru pbnuur puburn pubunr pubrun pubrnu pubnru pubnur puubrn puubnr
puurbn puurnb puunrb puunbr purubn purunb purbun purbnu purnbu purnub punurb
punubr punrub punrbu punbru punbur prbuun prbunu prbuun prbunu prbnuu prbnuu
prubun prubnu pruubn pruunb prunub prunbu pruubn pruunb prubun prubnu prunbu
prunub prnuub prnubu prnuub prnubu prnbuu prnbuu pnburu pnbuur pnbruu pnbruu
pnburu pnbuur pnubru pnubur pnurbu pnurub pnuurb pnuubr pnrubu pnruub pnrbuu
pnrbuu pnrubu pnruub pnuurb pnuubr pnurub pnurbu pnubru pnubur bpuurn bpuunr
bpurun bpurnu bpunru bpunur bpuurn bpuunr bpurun bpurnu bpunru bpunur bpruun
bprunu bpruun bprunu bprnuu bprnuu bpnuru bpnuur bpnruu bpnruu bpnuru bpnuur
bupurn bupunr buprun buprnu bupnru bupnur buuprn buupnr buurpn buurnp buunrp
buunpr burupn burunp burpun burpnu burnpu burnup bunurp bunupr bunrup bunrpu
bunpru bunpur buuprn buupnr buurpn buurnp buunrp buunpr bupurn bupunr buprun
buprnu bupnru bupnur burpun burpnu burupn burunp burnup burnpu bunpru bunpur
bunrpu bunrup bunurp bunupr bruupn bruunp brupun brupnu brunpu brunup bruupn
bruunp brupun brupnu brunpu brunup brpuun brpunu brpuun brpunu brpnuu brpnuu
brnupu brnuup brnpuu brnpuu brnupu brnuup bnuurp bnuupr bnurup bnurpu bnupru
bnupur bnuurp bnuupr bnurup bnurpu bnupru bnupur bnruup bnrupu bnruup bnrupu
bnrpuu bnrpuu bnpuru bnpuur bnpruu bnpruu bnpuru bnpuur upburn upbunr upbrun
upbrnu upbnru upbnur upubrn upubnr upurbn upurnb upunrb upunbr uprubn uprunb
uprbun uprbnu uprnbu uprnub upnurb upnubr upnrub upnrbu upnbru upnbur ubpurn
ubpunr ubprun ubprnu ubpnru ubpnur ubuprn ubupnr uburpn uburnp ubunrp ubunpr
ubrupn ubrunp ubrpun ubrpnu ubrnpu ubrnup ubnurp ubnupr ubnrup ubnrpu ubnpru
ubnpur uubprn uubpnr uubrpn uubrnp uubnrp uubnpr uupbrn uupbnr uuprbn uuprnb
uupnrb uupnbr uurpbn uurpnb uurbpn uurbnp uurnbp uurnpb uunprb uunpbr uunrpb
uunrbp uunbrp uunbpr urbupn urbunp urbpun urbpnu urbnpu urbnup urubpn urubnp
urupbn urupnb urunpb urunbp urpubn urpunb urpbun urpbnu urpnbu urpnub urnupb
urnubp urnpub urnpbu urnbpu urnbup unburp unbupr unbrup unbrpu unbpru unbpur
unubrp unubpr unurbp unurpb unuprb unupbr unrubp unrupb unrbup unrbpu unrpbu
unrpub unpurb unpubr unprub unprbu unpbru unpbur rpbuun rpbunu rpbuun rpbunu
rpbnuu rpbnuu rpubun rpubnu rpuubn rpuunb rpunub rpunbu rpuubn rpuunb rpubun
rpubnu rpunbu rpunub rpnuub rpnubu rpnuub rpnubu rpnbuu rpnbuu rbpuun rbpunu
rbpuun rbpunu rbpnuu rbpnuu rbupun rbupnu rbuupn rbuunp rbunup rbunpu rbuupn
rbuunp rbupun rbupnu rbunpu rbunup rbnuup rbnupu rbnuup rbnupu rbnpuu rbnpuu
rubpun rubpnu rubupn rubunp rubnup rubnpu rupbun rupbnu rupubn rupunb rupnub
rupnbu ruupbn ruupnb ruubpn ruubnp ruunbp ruunpb runpub runpbu runupb runubp
runbup runbpu rubupn rubunp rubpun rubpnu rubnpu rubnup ruubpn ruubnp ruupbn
ruupnb ruunpb ruunbp rupubn rupunb rupbun rupbnu rupnbu rupnub runupb runubp
runpub runpbu runbpu runbup rnbuup rnbupu rnbuup rnbupu rnbpuu rnbpuu rnubup
rnubpu rnuubp rnuupb rnupub rnupbu rnuubp rnuupb rnubup rnubpu rnupbu rnupub
rnpuub rnpubu rnpuub rnpubu rnpbuu rnpbuu npburu npbuur npbruu npbruu npburu
npbuur npubru npubur npurbu npurub npuurb npuubr nprubu npruub nprbuu nprbuu
nprubu npruub npuurb npuubr npurub npurbu npubru npubur nbpuru nbpuur nbpruu
nbpruu nbpuru nbpuur nbupru nbupur nburpu nburup nbuurp nbuupr nbrupu nbruup
nbrpuu nbrpuu nbrupu nbruup nbuurp nbuupr nburup nburpu nbupru nbupur nubpru
nubpur nubrpu nubrup nuburp nubupr nupbru nupbur nuprbu nuprub nupurb nupubr
nurpbu nurpub nurbpu nurbup nurubp nurupb nuuprb nuupbr nuurpb nuurbp nuubrp
nuubpr nrbupu nrbuup nrbpuu nrbpuu nrbupu nrbuup nrubpu nrubup nrupbu nrupub
nruupb nruubp nrpubu nrpuub nrpbuu nrpbuu nrpubu nrpuub nruupb nruubp nrupub
nrupbu nrubpu nrubup nuburp nubupr nubrup nubrpu nubpru nubpur nuubrp nuubpr
nuurbp nuurpb nuuprb nuupbr nurubp nurupb nurbup nurbpu nurpbu nurpub nupurb
nupubr nuprub nuprbu nupbru nupbur

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

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