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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: feezes
cipher variations:
gffaft hggbgu ihhchv jiidiw kjjejx
lkkfky mllglz nmmhma onninb poojoc
qppkpd rqqlqe srrmrf tssnsg uttoth
vuupui wvvqvj xwwrwk yxxsxl zyytym
azzuzn baavao cbbwbp dccxcq eddydr

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: feezes
Cipher: uvvavh

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: feezes
Cipher: AABAB AABAA AABAA BABBB AABAA BAAAB

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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: feezes
cipher variations:
gffaftqnnyndavvwvnkddudxullslhettqtryjjmjlirrkrv
szzizfchhghpmppepzwxxcxjhggbguroozoebwwxwoleevey
vmmtmifuuruszkknkmjsslswtaajagdiihiqnqqfqaxyydyk
ihhchvsppapfcxxyxpmffwfzwnnunjgvvsvtallolnkttmtx
ubbkbhejjijrorrgrbyzzezljiidiwtqqbqgdyyzyqnggxga
xoovokhwwtwubmmpmoluunuyvcclcifkkjkspsshsczaafam
kjjejxurrcrhezzazrohhyhbyppwplixxuxvcnnqnpmvvovz
wddmdjgllkltqttitdabbgbnlkkfkyvssdsifaabaspiizic
zqqxqmjyyvywdooroqnwwpwaxeenekhmmlmuruujuebcchco
mllglzwttetjgbbcbtqjjajdarryrnkzzwzxeppsproxxqxb
yffoflinnmnvsvvkvfcddidpnmmhmaxuufukhccdcurkkbke
bsszsolaaxayfqqtqspyyryczggpgmjoonowtwwlwgdeejeq
onninbyvvgvliddedvsllclfcttatpmbbybzgrrurtqzzszd
ahhqhnkppopxuxxmxheffkfrpoojoczwwhwmjeefewtmmdmg
duubuqncczcahssvsuraataebiiriolqqpqyvyynyifgglgs
qppkpdaxxixnkffgfxunnenhevvcvroddadbittwtvsbbubf
cjjsjpmrrqrzwzzozjghhmhtrqqlqebyyjyolgghgyvoofoi
fwwdwspeebecjuuxuwtccvcgdkktkqnssrsaxaapakhiiniu
srrmrfczzkzpmhhihzwppgpjgxxextqffcfdkvvyvxuddwdh
ellulrottstbybbqblijjojvtssnsgdaalaqniijiaxqqhqk
hyyfyurggdgelwwzwyveexeifmmvmspuutuczccrcmjkkpkw
uttothebbmbrojjkjbyrrirlizzgzvshhehfmxxaxzwffyfj
gnnwntqvvuvdaddsdnkllqlxvuupuifccncspkklkczssjsm
jaahawtiifignyybyaxggzgkhooxourwwvwebeeteolmmrmy
wvvqvjgddodtqllmldattktnkbbibxujjgjhozzczbyhhahl
ippypvsxxwxfcffufpmnnsnzxwwrwkheepeurmmnmebuuluo
lccjcyvkkhkipaadacziibimjqqzqwtyyxygdggvgqnootoa
yxxsxliffqfvsnnonfcvvmvpmddkdzwlliljqbbebdajjcjn
krrarxuzzyzhehhwhroppupbzyytymjggrgwtoopogdwwnwq
neeleaxmmjmkrccfcebkkdkolssbsyvaazaifiixispqqvqc
azzuznkhhshxuppqphexxoxroffmfbynnknlsddgdfcllelp
mttctzwbbabjgjjyjtqrrwrdbaavaoliitiyvqqrqifyypys
pggngczoolomteehegdmmfmqnuuduaxccbckhkkzkurssxse
cbbwbpmjjujzwrrsrjgzzqztqhhohdappmpnuffifhenngnr
ovvevbyddcdlillalvsttytfdccxcqnkkvkaxsstskhaarau
riipiebqqnqovggjgifoohospwwfwczeedemjmmbmwtuuzug
eddydrollwlbyttutlibbsbvsjjqjfcrrorpwhhkhjgppipt
qxxgxdaffefnknncnxuvvavhfeezespmmxmczuuvumjcctcw
tkkrkgdsspsqxiilikhqqjquryyhyebggfgoloodoyvwwbwi

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: feezes
Cipher: srrmrf

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: feezes
Cipher: 125151555134

Extended Methods:
Method #1

Plaintext: feezes
method variations:
lkkekxqppkpcvuupuhazzuzn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
f e e z e s 
1 5 5 5 5 3 
2 1 1 5 1 4 
They are then read out in rows:
155553211514
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: feezes
Cipher: vzpbvq

Read more ...
Method #3

Plaintext: feezes
method variations:
wvvzld vvzldw vzldwv
zldwvv ldwvvz dwvvzl

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: feezes

all 720 cipher variations:
feezes feezse feeezs feeesz feesez feesze fezees fezese fezees fezese fezsee
fezsee feezes feezse feeezs feeesz feesez feesze feszee feszee feseze feseez
feseez feseze feezes feezse feeezs feeesz feesez feesze fezees fezese fezees
fezese fezsee fezsee feezes feezse feeezs feeesz feesez feesze feszee feszee
feseze feseez feseez feseze fzeees fzeese fzeees fzeese fzesee fzesee fzeees
fzeese fzeees fzeese fzesee fzesee fzeees fzeese fzeees fzeese fzesee fzesee
fzseee fzseee fzseee fzseee fzseee fzseee feezes feezse feeezs feeesz feesez
feesze fezees fezese fezees fezese fezsee fezsee feezes feezse feeezs feeesz
feesez feesze feszee feszee feseze feseez feseez feseze fsezee fsezee fseeze
fseeez fseeez fseeze fszeee fszeee fszeee fszeee fszeee fszeee fsezee fsezee
fseeze fseeez fseeez fseeze fsezee fsezee fseeze fseeez fseeez fseeze efezes
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eezsef eezsfe eeezfs eeezsf eeefzs eeefsz eeesfz eeeszf eeszef eeszfe eesezf
eesefz eesfez eesfze ezefes ezefse ezeefs ezeesf ezesef ezesfe ezfees ezfese
ezfees ezfese ezfsee ezfsee ezefes ezefse ezeefs ezeesf ezesef ezesfe ezsfee
ezsfee ezsefe ezseef ezseef ezsefe eeezfs eeezsf eeefzs eeefsz eeesfz eeeszf
eezefs eezesf eezfes eezfse eezsfe eezsef eefzes eefzse eefezs eefesz eefsez
eefsze eeszfe eeszef eesfze eesfez eesefz eesezf esezef esezfe eseezf eseefz
esefez esefze eszeef eszefe eszeef eszefe eszfee eszfee esezef esezfe eseezf
eseefz esefez esefze esfzee esfzee esfeze esfeez esfeez esfeze eefzes eefzse
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zesfee zesefe zeseef zeseef zesefe zsefee zsefee zseefe zseeef zseeef zseefe
zsfeee zsfeee zsfeee zsfeee zsfeee zsfeee zsefee zsefee zseefe zseeef zseeef
zseefe zsefee zsefee zseefe zseeef zseeef zseefe eeezfs eeezsf eeefzs eeefsz
eeesfz eeeszf eezefs eezesf eezfes eezfse eezsfe eezsef eefzes eefzse eefezs
eefesz eefsez eefsze eeszfe eeszef eesfze eesfez eesefz eesezf eeezfs eeezsf
eeefzs eeefsz eeesfz eeeszf eezefs eezesf eezfes eezfse eezsfe eezsef eefzes
eefzse eefezs eefesz eefsez eefsze eeszfe eeszef eesfze eesfez eesefz eesezf
ezeefs ezeesf ezefes ezefse ezesfe ezesef ezeefs ezeesf ezefes ezefse ezesfe
ezesef ezfees ezfese ezfees ezfese ezfsee ezfsee ezsefe ezseef ezsfee ezsfee
ezsefe ezseef efezes efezse efeezs efeesz efesez efesze efzees efzese efzees
efzese efzsee efzsee efezes efezse efeezs efeesz efesez efesze efszee efszee
efseze efseez efseez efseze esezfe esezef esefze esefez eseefz eseezf eszefe
eszeef eszfee eszfee eszefe eszeef esfzee esfzee esfeze esfeez esfeez esfeze
esezfe esezef esefze esefez eseefz eseezf seezef seezfe seeezf seeefz seefez
seefze sezeef sezefe sezeef sezefe sezfee sezfee seezef seezfe seeezf seeefz
seefez seefze sefzee sefzee sefeze sefeez sefeez sefeze seezef seezfe seeezf
seeefz seefez seefze sezeef sezefe sezeef sezefe sezfee sezfee seezef seezfe
seeezf seeefz seefez seefze sefzee sefzee sefeze sefeez sefeez sefeze szeeef
szeefe szeeef szeefe szefee szefee szeeef szeefe szeeef szeefe szefee szefee
szeeef szeefe szeeef szeefe szefee szefee szfeee szfeee szfeee szfeee szfeee
szfeee seezef seezfe seeezf seeefz seefez seefze sezeef sezefe sezeef sezefe
sezfee sezfee seezef seezfe seeezf seeefz seefez seefze sefzee sefzee sefeze
sefeez sefeez sefeze sfezee sfezee sfeeze sfeeez sfeeez sfeeze sfzeee sfzeee
sfzeee sfzeee sfzeee sfzeee sfezee sfezee sfeeze sfeeez sfeeez sfeeze sfezee
sfezee sfeeze sfeeez sfeeez sfeeze

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

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