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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: zeisig
cipher variations:
afjtjh bgkuki chlvlj dimwmk ejnxnl
fkoyom glpzpn hmqaqo inrbrp joscsq
kptdtr lqueus mrvfvt nswgwu otxhxv
puyiyw qvzjzx rwakay sxblbz tycmca
uzdndb vaeoec wbfpfd xcgqge ydhrhf

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.)
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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: zeisig
Cipher: avrhrt

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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: zeisig
Cipher: BABBB AABAA ABAAA BAAAB ABAAA AABBA

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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: zeisig
cipher variations:
afjtjhynzdztwvpnpfudfxfrslvhvdqtlrlpmjrlrnkrhvhz
izxfxlghnpnxepdzdjcxtjtvbgkukizoaeauxwqoqgvegygs
tmwiwerumsmqnksmsolsiwiajaygymhioqoyfqeaekdyukuw
chlvljapbfbvyxrprhwfhzhtunxjxfsvntnroltntpmtjxjb
kbzhznijprpzgrfbflezvlvxdimwmkbqcgcwzysqsixgiaiu
voykygtwouospmuouqnukykclcaiaojkqsqahsgcgmfawmwy
ejnxnlcrdhdxaztrtjyhjbjvwpzlzhuxpvptqnvpvrovlzld
mdbjbpklrtrbithdhngbxnxzfkoyomdseieybausukzikckw
xqamaivyqwqurowqwspwmameneckcqlmsuscjuieiohcyoya
glpzpnetfjfzcbvtvlajldlxyrbnbjwzrxrvspxrxtqxnbnf
ofdldrmntvtdkvjfjpidzpzbhmqaqofugkgadcwuwmbkmemy
zscockxasyswtqysyuryocogpgemesnouwuelwkgkqjeaqac
inrbrpgvhlhbedxvxnclnfnzatdpdlybtztxurztzvszpdph
qhfnftopvxvfmxlhlrkfbrbdjoscsqhwimicfeywyodmogoa
bueqemzcuauyvsauawtaqeqirigogupqwywgnymimslgcsce
kptdtrixjnjdgfzxzpenphpbcvfrfnadvbvzwtbvbxubrfrj
sjhphvqrxzxhoznjntmhdtdflqueusjykokehgayaqfoqiqc
dwgsgobewcwaxucwcyvcsgsktkiqiwrsyayipaokounieueg
mrvfvtkzlplfihbzbrgprjrdexhthpcfxdxbyvdxdzwdthtl
uljrjxstzbzjqbplpvojfvfhnswgwulamqmgjicacshqskse
fyiuiqdgyeyczweyeaxeuiumvmkskytuacakrcqmqwpkgwgi
otxhxvmbnrnhkjdbdtirtltfgzjvjrehzfzdaxfzfbyfvjvn
wnltlzuvbdblsdrnrxqlhxhjpuyiywncosoilkeceujsumug
hakwksfiagaebygagczgwkwoxomumavwcecmtesosyrmiyik
qvzjzxodptpjmlfdfvktvnvhiblxltgjbhbfczhbhdahxlxp
ypnvnbwxdfdnuftptzsnjzjlrwakaypequqknmgegwluwowi
jcmymuhkcicgdaiciebiymyqzqowocxyegeovguquatokakm
sxblbzqfrvrlonhfhxmvxpxjkdnznvildjdhebjdjfcjznzr
arpxpdyzfhfpwhvrvbuplblntycmcargswsmpoigiynwyqyk
leoaowjmekeifckekgdkaoasbsqyqezagigqxiwswcvqmcmo
uzdndbshtxtnqpjhjzoxzrzlmfpbpxknflfjgdlflhelbpbt
ctrzrfabhjhryjxtxdwrndnpvaeoectiuyuorqkikapyasam
ngqcqylogmgkhemgmifmcqcudusasgbcikiszkyuyexsoeoq
wbfpfdujvzvpsrljlbqzbtbnohrdrzmphnhlifnhnjgndrdv
evtbthcdjljtalzvzfytpfprxcgqgevkwawqtsmkmcracuco
pisesanqioimjgoiokhoesewfwucuidekmkubmawagzuqgqs
ydhrhfwlxbxrutnlndsbdvdpqjtftborjpjnkhpjplipftfx
gxvdvjeflnlvcnbxbhavrhrtzeisigxmycysvuomoetceweq
rkugucpskqkoliqkqmjqgugyhywewkfgmomwdocycibwsisu

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: zeisig
Cipher: mrvfvt

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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: zeisig
Cipher: 555142344222

Extended Methods:
Method #1

Plaintext: zeisig
method variations:
ekoxomkptctrpuyhywuzdndb

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
z e i s i g 
5 5 4 3 4 2 
5 1 2 4 2 2 
They are then read out in rows:
554342512422
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: zeisig
Cipher: zoierg

Read more ...
Method #3

Plaintext: zeisig
method variations:
zqmtgw qmtgwz mtgwzq
tgwzqm gwzqmt wzqmtg

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: zeisig

all 720 cipher variations:
zeisig zeisgi zeiisg zeiigs zeigis zeigsi zesiig zesigi zesiig zesigi zesgii
zesgii zeisig zeisgi zeiisg zeiigs zeigis zeigsi zegsii zegsii zegisi zegiis
zegiis zegisi ziesig ziesgi zieisg zieigs ziegis ziegsi ziseig zisegi zisieg
zisige zisgie zisgei ziiseg ziisge ziiesg ziiegs ziiges ziigse zigsie zigsei
zigise zigies zigeis zigesi zsieig zsiegi zsiieg zsiige zsigie zsigei zseiig
zseigi zseiig zseigi zsegii zsegii zsieig zsiegi zsiieg zsiige zsigie zsigei
zsgeii zsgeii zsgiei zsgiie zsgiie zsgiei ziiseg ziisge ziiesg ziiegs ziiges
ziigse zisieg zisige ziseig zisegi zisgei zisgie ziesig ziesgi zieisg zieigs
ziegis ziegsi zigsei zigsie zigesi zigeis zigies zigise zgisie zgisei zgiise
zgiies zgieis zgiesi zgsiie zgsiei zgsiie zgsiei zgseii zgseii zgisie zgisei
zgiise zgiies zgieis zgiesi zgesii zgesii zgeisi zgeiis zgeiis zgeisi ezisig
ezisgi eziisg eziigs ezigis ezigsi ezsiig ezsigi ezsiig ezsigi ezsgii ezsgii
ezisig ezisgi eziisg eziigs ezigis ezigsi ezgsii ezgsii ezgisi ezgiis ezgiis
ezgisi eizsig eizsgi eizisg eizigs eizgis eizgsi eiszig eiszgi eisizg eisigz
eisgiz eisgzi eiiszg eiisgz eiizsg eiizgs eiigzs eiigsz eigsiz eigszi eigisz
eigizs eigzis eigzsi esizig esizgi esiizg esiigz esigiz esigzi esziig eszigi
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esgzii esgizi esgiiz esgiiz esgizi eiiszg eiisgz eiizsg eiizgs eiigzs eiigsz
eisizg eisigz eiszig eiszgi eisgzi eisgiz eizsig eizsgi eizisg eizigs eizgis
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sizeig sizegi sizgei sizgie siezig siezgi sieizg sieigz siegiz siegzi sigzei
sigzie sigezi sigeiz sigiez sigize sgizie sgizei sgiize sgiiez sgieiz sgiezi
sgziie sgziei sgziie sgziei sgzeii sgzeii sgizie sgizei sgiize sgiiez sgieiz
sgiezi sgezii sgezii sgeizi sgeiiz sgeiiz sgeizi ieiszg ieisgz ieizsg ieizgs
ieigzs ieigsz iesizg iesigz ieszig ieszgi iesgzi iesgiz iezsig iezsgi iezisg
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iiezsg iiezgs iiegzs iiegsz iisezg iisegz iiszeg iiszge iisgze iisgez iizseg
iizsge iizesg iizegs iizges iizgse iigsze iigsez iigzse iigzes iigezs iigesz
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igsiez igszie igszei igsezi igseiz igzsie igzsei igzise igzies igzeis igzesi
igeszi igesiz igezsi igezis igeizs igeisz geisiz geiszi geiisz geiizs geizis
geizsi gesiiz gesizi gesiiz gesizi geszii geszii geisiz geiszi geiisz geiizs
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gieizs giezis giezsi giseiz gisezi gisiez gisize giszie giszei giisez giisze
giiesz giiezs giizes giizse gizsie gizsei gizise gizies gizeis gizesi gsieiz
gsiezi gsiiez gsiize gsizie gsizei gseiiz gseizi gseiiz gseizi gsezii gsezii
gsieiz gsiezi gsiiez gsiize gsizie gsizei gszeii gszeii gsziei gsziie gsziie
gsziei giisez giisze giiesz giiezs giizes giizse gisiez gisize giseiz gisezi
giszei giszie giesiz gieszi gieisz gieizs giezis giezsi gizsei gizsie gizesi
gizeis gizies gizise gzisie gzisei gziise gziies gzieis gziesi gzsiie gzsiei
gzsiie gzsiei gzseii gzseii gzisie gzisei gziise gziies gzieis gziesi gzesii
gzesii gzeisi gzeiis gzeiis gzeisi

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