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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: kristi
cipher variations:
lsjtuj mtkuvk nulvwl ovmwxm pwnxyn
qxoyzo rypzap szqabq tarbcr ubscds
vctdet wduefu xevfgv yfwghw zgxhix
ahyijy bizjkz cjakla dkblmb elcmnc
fmdnod gneope hofpqf ipgqrg jqhrsh

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: kristi
Cipher: pirhgr

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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: kristi
Cipher: ABAAB BAAAA ABAAA BAAAB BAABA ABAAA

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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: kristi
cipher variations:
lsjtujfazdgzzipnsptqfxefnyvhqvhglrclvwrlarpehvmh
jmxfyxdunpknxcdzwdrktjitmtkuvkgbaehaajqotqurgyfg
ozwirwihmsdmwxsmbsqfiwniknygzyevoqloydeaxeslukju
nulvwlhcbfibbkrpurvshzghpaxjsxjintenxytnctrgjxoj
lozhazfwprmpzefbyftmvlkvovmwxmidcgjcclsqvswtiahi
qbyktykjoufoyzuodushkypkmpaibagxqsnqafgczgunwmlw
pwnxynjedhkddmtrwtxujbijrczluzlkpvgpzavpevtilzql
nqbjcbhyrtorbghdahvoxnmxqxoyzokfeileenusxuyvkcjk
sdamvamlqwhqabwqfwujmarmorckdcizsupschiebiwpyony
rypzaplgfjmffovtyvzwldkltebnwbnmrxirbcxrgxvknbsn
psdledjatvqtdijfcjxqzpozszqabqmhgknggpwuzwaxmelm
ufcoxconsyjscdyshywloctoqtemfekbuwruejkgdkyraqpa
tarbcrnihlohhqxvaxbynfmnvgdpydpotzktdeztizxmpdup
rufngflcvxsvfklhelzsbrqbubscdsojimpiirywbyczogno
wheqzeqpualuefaujaynqevqsvgohgmdwytwglmifmatcsrc
vctdetpkjnqjjszxczdaphopxifrafrqvbmvfgbvkbzorfwr
twhpihnexzuxhmnjgnbudtsdwduefuqlkorkktaydaebqipq
yjgsbgsrwcnwghcwlcapsgxsuxiqjiofyavyinokhocveute
xevfgvrmlpsllubzebfcrjqrzkhtchtsxdoxhidxmdbqthyt
vyjrkjpgzbwzjoplipdwfvufyfwghwsnmqtmmvcafcgdskrs
aliudiutyepyijeynecruizuwzkslkqhacxakpqmjqexgwvg
zgxhixtonrunnwdbgdhetlstbmjvejvuzfqzjkfzofdsvjav
xaltmlribdyblqrnkrfyhxwhahyijyuposvooxecheifumtu
cnkwfkwvagraklgapgetwkbwybmunmsjcezcmrsolsgziyxi
bizjkzvqptwppyfdifjgvnuvdolxglxwbhsblmhbqhfuxlcx
zcnvontkdfadnstpmthajzyjcjaklawrquxqqzgejgkhwovw
epmyhmyxcitcmnicrigvymdyadowpoulegbeotuqnuibkazk
dkblmbxsrvyrrahfkhlixpwxfqnzinzydjudnojdsjhwznez
bepxqpvmfhcfpuvrovjclbalelcmncytswzssbiglimjyqxy
groajoazekveopketkixaofacfqyrqwngidgqvwspwkdmcbm
fmdnodzutxattcjhmjnkzryzhspbkpbaflwfpqlfuljybpgb
dgrzsrxohjehrwxtqxlendcngneopeavuybuudkinkolasza
itqclqcbgmxgqrmgvmkzcqhcehsatsypikfisxyurymfoedo
hofpqfbwvzcvveljolpmbtabjurdmrdchnyhrsnhwnladrid
fitbutzqjlgjtyzvszngpfepipgqrgcxwadwwfmkpmqncubc
kvsensediozistoixombesjegjucvuarkmhkuzawtaohqgfq
jqhrshdyxbexxgnlqnrodvcdlwtfotfejpajtupjypncftkf
hkvdwvbslnilvabxubpirhgrkristiezycfyyhomrospewde
mxugpugfkqbkuvqkzqodgulgilwexwctmojmwbcyvcqjsihs

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: kristi
Cipher: xevfgv

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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: kristi
Cipher: 522442344442

Extended Methods:
Method #1

Plaintext: kristi
method variations:
pwoxyoubtcdtzgyhiyemdnod

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
k r i s t i 
5 2 4 3 4 4 
2 4 2 4 4 2 
They are then read out in rows:
524344242442
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: kristi
Cipher: kotrri

Read more ...
Method #3

Plaintext: kristi
method variations:
gtmttw tmttwg mttwgt
ttwgtm twgtmt wgtmtt

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: kristi

all 720 cipher variations:
kristi krisit kritsi kritis kriits kriist krsiti krsiit krstii krstii krsiti
krsiit krtsii krtsii krtisi krtiis krtiis krtisi kristi krisit kritsi kritis
kriits kriist kirsti kirsit kirtsi kirtis kirits kirist kisrti kisrit kistri
kistir kisitr kisirt kitsri kitsir kitrsi kitris kitirs kitisr kiistr kiisrt
kiitsr kiitrs kiirts kiirst ksirti ksirit ksitri ksitir ksiitr ksiirt ksriti
ksriit ksrtii ksrtii ksriti ksriit kstrii kstrii kstiri kstiir kstiir kstiri
ksirti ksirit ksitri ksitir ksiitr ksiirt ktisri ktisir ktirsi ktiris ktiirs
ktiisr ktsiri ktsiir ktsrii ktsrii ktsiri ktsiir ktrsii ktrsii ktrisi ktriis
ktriis ktrisi ktisri ktisir ktirsi ktiris ktiirs ktiisr kiistr kiisrt kiitsr
kiitrs kiirts kiirst kisitr kisirt kistir kistri kisrti kisrit kitsir kitsri
kitisr kitirs kitris kitrsi kirsti kirsit kirtsi kirtis kirits kirist rkisti
rkisit rkitsi rkitis rkiits rkiist rksiti rksiit rkstii rkstii rksiti rksiit
rktsii rktsii rktisi rktiis rktiis rktisi rkisti rkisit rkitsi rkitis rkiits
rkiist riksti riksit riktsi riktis rikits rikist riskti riskit ristki ristik
risitk risikt ritski ritsik ritksi ritkis ritiks ritisk riistk riiskt riitsk
riitks riikts riikst rsikti rsikit rsitki rsitik rsiitk rsiikt rskiti rskiit
rsktii rsktii rskiti rskiit rstkii rstkii rstiki rstiik rstiik rstiki rsikti
rsikit rsitki rsitik rsiitk rsiikt rtiski rtisik rtiksi rtikis rtiiks rtiisk
rtsiki rtsiik rtskii rtskii rtsiki rtsiik rtksii rtksii rtkisi rtkiis rtkiis
rtkisi rtiski rtisik rtiksi rtikis rtiiks rtiisk riistk riiskt riitsk riitks
riikts riikst risitk risikt ristik ristki riskti riskit ritsik ritski ritisk
ritiks ritkis ritksi riksti riksit riktsi riktis rikits rikist irksti irksit
irktsi irktis irkits irkist irskti irskit irstki irstik irsitk irsikt irtski
irtsik irtksi irtkis irtiks irtisk iristk iriskt iritsk iritks irikts irikst
ikrsti ikrsit ikrtsi ikrtis ikrits ikrist iksrti iksrit ikstri ikstir iksitr
iksirt iktsri iktsir iktrsi iktris iktirs iktisr ikistr ikisrt ikitsr ikitrs
ikirts ikirst iskrti iskrit isktri isktir iskitr iskirt isrkti isrkit isrtki
isrtik isritk isrikt istrki istrik istkri istkir istikr istirk isirtk isirkt
isitrk isitkr isiktr isikrt itksri itksir itkrsi itkris itkirs itkisr itskri
itskir itsrki itsrik itsirk itsikr itrski itrsik itrksi itrkis itriks itrisk
itisrk itiskr itirsk itirks itikrs itiksr iikstr iiksrt iiktsr iiktrs iikrts
iikrst iisktr iiskrt iistkr iistrk iisrtk iisrkt iitskr iitsrk iitksr iitkrs
iitrks iitrsk iirstk iirskt iirtsk iirtks iirkts iirkst srikti srikit sritki
sritik sriitk sriikt srkiti srkiit srktii srktii srkiti srkiit srtkii srtkii
srtiki srtiik srtiik srtiki srikti srikit sritki sritik sriitk sriikt sirkti
sirkit sirtki sirtik siritk sirikt sikrti sikrit siktri siktir sikitr sikirt
sitkri sitkir sitrki sitrik sitirk sitikr siiktr siikrt siitkr siitrk siirtk
siirkt skirti skirit skitri skitir skiitr skiirt skriti skriit skrtii skrtii
skriti skriit sktrii sktrii sktiri sktiir sktiir sktiri skirti skirit skitri
skitir skiitr skiirt stikri stikir stirki stirik stiirk stiikr stkiri stkiir
stkrii stkrii stkiri stkiir strkii strkii striki striik striik striki stikri
stikir stirki stirik stiirk stiikr siiktr siikrt siitkr siitrk siirtk siirkt
sikitr sikirt siktir siktri sikrti sikrit sitkir sitkri sitikr sitirk sitrik
sitrki sirkti sirkit sirtki sirtik siritk sirikt triski trisik triksi trikis
triiks triisk trsiki trsiik trskii trskii trsiki trsiik trksii trksii trkisi
trkiis trkiis trkisi triski trisik triksi trikis triiks triisk tirski tirsik
tirksi tirkis tiriks tirisk tisrki tisrik tiskri tiskir tisikr tisirk tiksri
tiksir tikrsi tikris tikirs tikisr tiiskr tiisrk tiiksr tiikrs tiirks tiirsk
tsirki tsirik tsikri tsikir tsiikr tsiirk tsriki tsriik tsrkii tsrkii tsriki
tsriik tskrii tskrii tskiri tskiir tskiir tskiri tsirki tsirik tsikri tsikir
tsiikr tsiirk tkisri tkisir tkirsi tkiris tkiirs tkiisr tksiri tksiir tksrii
tksrii tksiri tksiir tkrsii tkrsii tkrisi tkriis tkriis tkrisi tkisri tkisir
tkirsi tkiris tkiirs tkiisr tiiskr tiisrk tiiksr tiikrs tiirks tiirsk tisikr
tisirk tiskir tiskri tisrki tisrik tiksir tiksri tikisr tikirs tikris tikrsi
tirski tirsik tirksi tirkis tiriks tirisk iristk iriskt iritsk iritks irikts
irikst irsitk irsikt irstik irstki irskti irskit irtsik irtski irtisk irtiks
irtkis irtksi irksti irksit irktsi irktis irkits irkist iirstk iirskt iirtsk
iirtks iirkts iirkst iisrtk iisrkt iistrk iistkr iisktr iiskrt iitsrk iitskr
iitrsk iitrks iitkrs iitksr iikstr iiksrt iiktsr iiktrs iikrts iikrst isirtk
isirkt isitrk isitkr isiktr isikrt isritk isrikt isrtik isrtki isrkti isrkit
istrik istrki istirk istikr istkir istkri iskrti iskrit isktri isktir iskitr
iskirt itisrk itiskr itirsk itirks itikrs itiksr itsirk itsikr itsrik itsrki
itskri itskir itrsik itrski itrisk itriks itrkis itrksi itksri itksir itkrsi
itkris itkirs itkisr ikistr ikisrt ikitsr ikitrs ikirts ikirst iksitr iksirt
ikstir ikstri iksrti iksrit iktsir iktsri iktisr iktirs iktris iktrsi ikrsti
ikrsit ikrtsi ikrtis ikrits ikrist

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