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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: behlke
cipher variations:
cfimlf dgjnmg ehkonh filpoi gjmqpj
hknrqk ilosrl jmptsm knqutn lorvuo
mpswvp nqtxwq oruyxr psvzys qtwazt
ruxbau svycbv twzdcw uxaedx vybfey
wzcgfz xadhga ybeihb zcfjic adgkjd

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: behlke
Cipher: yvsopv

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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: behlke
Cipher: AAAAB AABAA AABBB ABABA ABAAB 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: behlke
cipher variations:
cfimlfenwifngvkezvidyatdklmwnlmtashtqjckvjsrqgpr
uzecjzwhsydhypguxpaxuqrxdgjnmgfoxjgohwlfawjezbue
lmnxomnubtiurkdlwktsrhqsvafdkaxitzeizqhvyqbyvrsy
ehkonhgpykhpixmgbxkfacvfmnoypnovcujvslemxlutsirt
wbgelbyjuafjariwzrczwstzfilpoihqzliqjynhcylgbdwg
nopzqopwdvkwtmfnymvutjsuxchfmczkvbgkbsjxasdaxtua
gjmqpjiramjrkzoidzmhcexhopqarpqxewlxungoznwvuktv
ydigndalwchlctkybtebyuvbhknrqkjsbnkslapjeanidfyi
pqrbsqryfxmyvohpaoxwvluwzejhoebmxdimdulzcufczvwc
ilosrlktcoltmbqkfbojegzjqrsctrszgynzwpiqbpyxwmvx
afkipfcnyejnevmadvgdawxdjmptsmludpmuncrlgcpkfhak
rstdustahzoaxqjrcqzyxnwybgljqgdozfkofwnbewhebxye
knqutnmveqnvodsmhdqlgiblstuevtubiapbyrksdrazyoxz
chmkrhepaglpgxocfxifcyzflorvuonwfrowpetniermhjcm
tuvfwuvcjbqczsltesbazpyadinlsifqbhmqhypdgyjgdzag
mpswvpoxgspxqfuojfsnikdnuvwgxvwdkcrdatmuftcbaqzb
ejomtjgrcinrizqehzkheabhnqtxwqpyhtqyrgvpkgtojleo
vwxhywxeldsebunvgudcbracfkpnukhsdjosjarfialifbci
oruyxrqziurzshwqlhupkmfpwxyizxyfmetfcvowhvedcsbd
glqovlitekptkbsgjbmjgcdjpsvzysrajvsatixrmivqlngq
xyzjayzgnfugdwpxiwfedtcehmrpwmjuflqulcthkcnkhdek
qtwaztsbkwtbujysnjwrmohryzakbzahogvhexqyjxgfeudf
insqxnkvgmrvmduildolieflruxbautclxucvkztokxsnpis
zablcabiphwifyrzkyhgfvegjotryolwhnswnevjmepmjfgm
svycbvudmyvdwlauplytoqjtabcmdbcjqixjgzsalzihgwfh
kpuszpmxiotxofwknfqnkghntwzdcwvenzwexmbvqmzuprku
bcdnecdkrjykhatbmajihxgilqvtaqnyjpuypgxlogrolhio
uxaedxwfoaxfyncwrnavqslvcdeofdelskzlibucnbkjiyhj
mrwubrozkqvzqhymphspmijpvybfeyxgpbygzodxsobwrtmw
defpgefmtlamjcvdoclkjziknsxvcspalrwariznqitqnjkq
wzcgfzyhqczhapeytpcxsunxefgqhfgnumbnkdwepdmlkajl
otywdtqbmsxbsjaorjuroklrxadhgazirdaibqfzuqdytvoy
fghrighovncolexfqenmlbkmpuzxeurcntyctkbpskvsplms
ybeihbajsebjcrgavrezuwpzghisjhipwodpmfygrfonmcln
qvayfvsdouzdulcqtlwtqmntzcfjicbktfckdshbwsfavxqa
hijtkijqxpeqngzhsgpondmorwbzgwtepvaevmdrumxurnou
adgkjdclugdleticxtgbwyrbijkuljkryqfrohaithqpoenp
sxcahxufqwbfwnesvnyvsopvbehlkedmvhemfujdyuhcxzsc
jklvmklszrgspibjuirqpfoqtydbiyvgrxcgxoftwozwtpqw

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: behlke
Cipher: oruyxr

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: behlke
Cipher: 215132135251

Extended Methods:
Method #1

Plaintext: behlke
method variations:
gknqpkmpsvupruxazuwzcfez

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b e h l k e 
2 5 3 1 5 5 
1 1 2 3 2 1 
They are then read out in rows:
253155112321
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: behlke
Cipher: wczamb

Read more ...
Method #3

Plaintext: behlke
method variations:
vlbxwf lbxwfv bxwfvl
xwfvlb wfvlbx fvlbxw

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: behlke

all 720 cipher variations:
behlke behlek behkle behkel behekl behelk belhke belhek belkhe belkeh belekh
belehk beklhe bekleh bekhle bekhel bekehl bekelh beelkh beelhk beeklh beekhl
beehkl beehlk bhelke bhelek bhekle bhekel bheekl bheelk bhleke bhleek bhlkee
bhlkee bhleke bhleek bhklee bhklee bhkele bhkeel bhkeel bhkele bhelke bhelek
bhekle bhekel bheekl bheelk blheke blheek blhkee blhkee blheke blheek blehke
blehek blekhe blekeh bleekh bleehk blkehe blkeeh blkhee blkhee blkehe blkeeh
bleekh bleehk blekeh blekhe blehke blehek bkhlee bkhlee bkhele bkheel bkheel
bkhele bklhee bklhee bklehe bkleeh bkleeh bklehe bkelhe bkeleh bkehle bkehel
bkeehl bkeelh bkeleh bkelhe bkeelh bkeehl bkehel bkehle behlke behlek behkle
behkel behekl behelk belhke belhek belkhe belkeh belekh belehk beklhe bekleh
bekhle bekhel bekehl bekelh beelkh beelhk beeklh beekhl beehkl beehlk ebhlke
ebhlek ebhkle ebhkel ebhekl ebhelk eblhke eblhek eblkhe eblkeh eblekh eblehk
ebklhe ebkleh ebkhle ebkhel ebkehl ebkelh ebelkh ebelhk ebeklh ebekhl ebehkl
ebehlk ehblke ehblek ehbkle ehbkel ehbekl ehbelk ehlbke ehlbek ehlkbe ehlkeb
ehlekb ehlebk ehklbe ehkleb ehkble ehkbel ehkebl ehkelb ehelkb ehelbk eheklb
ehekbl ehebkl eheblk elhbke elhbek elhkbe elhkeb elhekb elhebk elbhke elbhek
elbkhe elbkeh elbekh elbehk elkbhe elkbeh elkhbe elkheb elkehb elkebh elebkh
elebhk elekbh elekhb elehkb elehbk ekhlbe ekhleb ekhble ekhbel ekhebl ekhelb
eklhbe eklheb eklbhe eklbeh eklebh eklehb ekblhe ekbleh ekbhle ekbhel ekbehl
ekbelh ekelbh ekelhb ekeblh ekebhl ekehbl ekehlb eehlkb eehlbk eehklb eehkbl
eehbkl eehblk eelhkb eelhbk eelkhb eelkbh eelbkh eelbhk eeklhb eeklbh eekhlb
eekhbl eekbhl eekblh eeblkh eeblhk eebklh eebkhl eebhkl eebhlk heblke heblek
hebkle hebkel hebekl hebelk helbke helbek helkbe helkeb helekb helebk heklbe
hekleb hekble hekbel hekebl hekelb heelkb heelbk heeklb heekbl heebkl heeblk
hbelke hbelek hbekle hbekel hbeekl hbeelk hbleke hbleek hblkee hblkee hbleke
hbleek hbklee hbklee hbkele hbkeel hbkeel hbkele hbelke hbelek hbekle hbekel
hbeekl hbeelk hlbeke hlbeek hlbkee hlbkee hlbeke hlbeek hlebke hlebek hlekbe
hlekeb hleekb hleebk hlkebe hlkeeb hlkbee hlkbee hlkebe hlkeeb hleekb hleebk
hlekeb hlekbe hlebke hlebek hkblee hkblee hkbele hkbeel hkbeel hkbele hklbee
hklbee hklebe hkleeb hkleeb hklebe hkelbe hkeleb hkeble hkebel hkeebl hkeelb
hkeleb hkelbe hkeelb hkeebl hkebel hkeble heblke heblek hebkle hebkel hebekl
hebelk helbke helbek helkbe helkeb helekb helebk heklbe hekleb hekble hekbel
hekebl hekelb heelkb heelbk heeklb heekbl heebkl heeblk lehbke lehbek lehkbe
lehkeb lehekb lehebk lebhke lebhek lebkhe lebkeh lebekh lebehk lekbhe lekbeh
lekhbe lekheb lekehb lekebh leebkh leebhk leekbh leekhb leehkb leehbk lhebke
lhebek lhekbe lhekeb lheekb lheebk lhbeke lhbeek lhbkee lhbkee lhbeke lhbeek
lhkbee lhkbee lhkebe lhkeeb lhkeeb lhkebe lhebke lhebek lhekbe lhekeb lheekb
lheebk lbheke lbheek lbhkee lbhkee lbheke lbheek lbehke lbehek lbekhe lbekeh
lbeekh lbeehk lbkehe lbkeeh lbkhee lbkhee lbkehe lbkeeh lbeekh lbeehk lbekeh
lbekhe lbehke lbehek lkhbee lkhbee lkhebe lkheeb lkheeb lkhebe lkbhee lkbhee
lkbehe lkbeeh lkbeeh lkbehe lkebhe lkebeh lkehbe lkeheb lkeehb lkeebh lkebeh
lkebhe lkeebh lkeehb lkeheb lkehbe lehbke lehbek lehkbe lehkeb lehekb lehebk
lebhke lebhek lebkhe lebkeh lebekh lebehk lekbhe lekbeh lekhbe lekheb lekehb
lekebh leebkh leebhk leekbh leekhb leehkb leehbk kehlbe kehleb kehble kehbel
kehebl kehelb kelhbe kelheb kelbhe kelbeh kelebh kelehb keblhe kebleh kebhle
kebhel kebehl kebelh keelbh keelhb keeblh keebhl keehbl keehlb khelbe kheleb
kheble khebel kheebl kheelb khlebe khleeb khlbee khlbee khlebe khleeb khblee
khblee khbele khbeel khbeel khbele khelbe kheleb kheble khebel kheebl kheelb
klhebe klheeb klhbee klhbee klhebe klheeb klehbe kleheb klebhe klebeh kleebh
kleehb klbehe klbeeh klbhee klbhee klbehe klbeeh kleebh kleehb klebeh klebhe
klehbe kleheb kbhlee kbhlee kbhele kbheel kbheel kbhele kblhee kblhee kblehe
kbleeh kbleeh kblehe kbelhe kbeleh kbehle kbehel kbeehl kbeelh kbeleh kbelhe
kbeelh kbeehl kbehel kbehle kehlbe kehleb kehble kehbel kehebl kehelb kelhbe
kelheb kelbhe kelbeh kelebh kelehb keblhe kebleh kebhle kebhel kebehl kebelh
keelbh keelhb keeblh keebhl keehbl keehlb eehlkb eehlbk eehklb eehkbl eehbkl
eehblk eelhkb eelhbk eelkhb eelkbh eelbkh eelbhk eeklhb eeklbh eekhlb eekhbl
eekbhl eekblh eeblkh eeblhk eebklh eebkhl eebhkl eebhlk ehelkb ehelbk eheklb
ehekbl ehebkl eheblk ehlekb ehlebk ehlkeb ehlkbe ehlbke ehlbek ehkleb ehklbe
ehkelb ehkebl ehkbel ehkble ehblke ehblek ehbkle ehbkel ehbekl ehbelk elhekb
elhebk elhkeb elhkbe elhbke elhbek elehkb elehbk elekhb elekbh elebkh elebhk
elkehb elkebh elkheb elkhbe elkbhe elkbeh elbekh elbehk elbkeh elbkhe elbhke
elbhek ekhleb ekhlbe ekhelb ekhebl ekhbel ekhble eklheb eklhbe eklehb eklebh
eklbeh eklbhe ekelhb ekelbh ekehlb ekehbl ekebhl ekeblh ekbleh ekblhe ekbelh
ekbehl ekbhel ekbhle ebhlke ebhlek ebhkle ebhkel ebhekl ebhelk eblhke eblhek
eblkhe eblkeh eblekh eblehk ebklhe ebkleh ebkhle ebkhel ebkehl ebkelh ebelkh
ebelhk ebeklh ebekhl ebehkl ebehlk

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