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girdletree

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unresistingness

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dahinden

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ceratopsid


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: sether
cipher variations:
tfuifs ugvjgt vhwkhu wixliv xjymjw
ykznkx zlaoly ambpmz bncqna codrob
dpespc eqftqd frgure gshvsf htiwtg
iujxuh jvkyvi kwlzwj lxmaxk mynbyl
nzoczm oapdan pbqebo qcrfcp rdsgdq

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: sether
Cipher: hvgsvi

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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: sether
Cipher: BAAAB AABAA BAABA AABBB AABAA BAAAA

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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: sether
cipher variations:
tfuifsdngwnanvskvixdeydqhlqmlyrtcatgljacjwvrmqre
fzyezmphkshuzpwgpcjxiuxkugvjgteohxobowtlwjyefzer
imrnmzsudbuhmkbdkxwsnrsfgazfanqiltivaqxhqdkyjvyl
vhwkhufpiypcpxumxkzfgafsjnsonatvecvinlcelyxtostg
hbagborjmujwbryirelzkwzmwixlivgqjzqdqyvnylaghbgt
kotpobuwfdwjomdfmzyuptuhicbhcpsknvkxcszjsfmalxan
xjymjwhrkarerzwozmbhichulpuqpcvxgexkpnegnazvquvi
jdcidqtlowlydtaktgnbmyboykznkxislbsfsaxpancijdiv
mqvrqdwyhfylqofhobawrvwjkedjerumpxmzeubluhocnzcp
zlaolyjtmctgtbyqbodjkejwnrwsrexzigzmrpgipcbxswxk
lfekfsvnqynafvcmvipdoadqambpmzkunduhuczrcpeklfkx
osxtsfyajhansqhjqdcytxylmgflgtworzobgwdnwjqepber
bncqnalvoevivdasdqflmglyptyutgzbkibotrikredzuyzm
nhgmhuxpsapchxeoxkrfqcfscodrobmwpfwjwebtergmnhmz
quzvuhacljcpusjlsfeavzanoihnivyqtbqdiyfpylsgrdgt
dpespcnxqgxkxfcufshnoinarvawvibdmkdqvtkmtgfbwabo
pjiojwzrucrejzgqzmthsehueqftqdoyrhylygdvgtiopjob
swbxwjcenlerwulnuhgcxbcpqkjpkxasvdsfkahranuitfiv
frgurepzsizmzhewhujpqkpctxcyxkdfomfsxvmovihdycdq
rlkqlybtwetglbisbovjugjwgshvsfqatjanaifxivkqrlqd
uydzylegpngtywnpwjiezdersmlrmzcuxfuhmcjtcpwkvhkx
htiwtgrbukbobjgyjwlrsmrevzeazmfhqohuzxoqxkjfaefs
tnmsnadvygvindkudqxlwilyiujxuhscvlcpckhzkxmstnsf
wafbangirpivayprylkgbfgtuontobewzhwjoelverymxjmz
jvkyvitdwmdqdlialyntuotgxbgcbohjsqjwbzqszmlhcghu
vpoupcfxaixkpfmwfsznyknakwlzwjuexneremjbmzouvpuh
ychdcpiktrkxcartanmidhivwqpvqdgybjylqgnxgtaozlob
lxmaxkvfyofsfnkcnapvwqvizdiedqjluslydbsubonjeijw
xrqwrehzckzmrhoyhubpampcmynbylwgzpgtgoldobqwxrwj
aejferkmvtmzectvcpokfjkxysrxsfiadlansipzivcqbnqd
nzoczmxhaqhuhpmepcrxysxkbfkgfslnwunafduwdqplgkly
ztsytgjbembotjqajwdrcoreoapdanyibriviqnfqdsyztyl
cglhgtmoxvobgevxerqmhlmzautzuhkcfncpukrbkxesdpsf
pbqebozjcsjwjrogretzauzmdhmihunpywpchfwyfsrnimna
bvuavildgodqvlsclyfteqtgqcrfcpakdtkxksphsfuabvan
einjivoqzxqdigxzgtsojnobcwvbwjmehperwmtdmzgufruh
rdsgdqbleulyltqitgvbcwbofjokjwprayrejhyahutpkopc
dxwcxknfiqfsxnuenahvgsvisethercmfvmzmurjuhwcdxcp
gkplkxqsbzsfkizbivuqlpqdeyxdylogjrgtyovfobiwhtwj

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: sether
Cipher: frgure

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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: sether
Cipher: 345144325124

Extended Methods:
Method #1

Plaintext: sether
method variations:
xkynkwcpdspbhuixugnzoczm

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
s e t h e r 
3 5 4 3 5 2 
4 1 4 2 1 4 
They are then read out in rows:
354352414214
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: sether
Cipher: xokdiq

Read more ...
Method #3

Plaintext: sether
method variations:
yqowfo qowfoy owfoyq
wfoyqo foyqow oyqowf

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: sether

all 720 cipher variations:
sether sethre setehr seterh setreh setrhe sehter sehtre sehetr sehert sehret
sehrte seehtr seehrt seethr seetrh seerth seerht serhet serhte sereht sereth
serteh serthe steher stehre steehr steerh stereh sterhe stheer sthere stheer
sthere sthree sthree steher stehre steehr steerh stereh sterhe strhee strhee
strehe streeh streeh strehe shteer shtere shteer shtere shtree shtree sheter
shetre sheetr sheert sheret sherte sheetr sheert sheter shetre sherte sheret
shreet shrete shreet shrete shrtee shrtee sether sethre setehr seterh setreh
setrhe sehter sehtre sehetr sehert sehret sehrte seehtr seehrt seethr seetrh
seerth seerht serhet serhte sereht sereth serteh serthe srthee srthee srtehe
srteeh srteeh srtehe srhtee srhtee srhete srheet srheet srhete srehte srehet
srethe sreteh sreeth sreeht srehet srehte sreeht sreeth sreteh srethe esther
esthre estehr esterh estreh estrhe eshter eshtre eshetr eshert eshret eshrte
esehtr esehrt esethr esetrh eserth eserht esrhet esrhte esreht esreth esrteh
esrthe etsher etshre etsehr etserh etsreh etsrhe ethser ethsre ethesr ethers
ethres ethrse etehsr etehrs eteshr etesrh etersh eterhs etrhes etrhse etrehs
etresh etrseh etrshe ehtser ehtsre ehtesr ehters ehtres ehtrse ehster ehstre
ehsetr ehsert ehsret ehsrte ehestr ehesrt ehetsr ehetrs eherts eherst ehrset
ehrste ehrest ehrets ehrtes ehrtse eethsr eethrs eetshr eetsrh eetrsh eetrhs
eehtsr eehtrs eehstr eehsrt eehrst eehrts eeshtr eeshrt eesthr eestrh eesrth
eesrht eerhst eerhts eersht eersth eertsh eerths erthes erthse ertehs ertesh
ertseh ertshe erhtes erhtse erhets erhest erhset erhste erehts erehst ereths
eretsh eresth eresht ershet ershte erseht erseth ersteh ersthe tesher teshre
tesehr teserh tesreh tesrhe tehser tehsre tehesr tehers tehres tehrse teehsr
teehrs teeshr teesrh teersh teerhs terhes terhse terehs teresh terseh tershe
tseher tsehre tseehr tseerh tsereh tserhe tsheer tshere tsheer tshere tshree
tshree tseher tsehre tseehr tseerh tsereh tserhe tsrhee tsrhee tsrehe tsreeh
tsreeh tsrehe thseer thsere thseer thsere thsree thsree theser thesre theesr
theers theres therse theesr theers theser thesre therse theres threes threse
threes threse thrsee thrsee tesher teshre tesehr teserh tesreh tesrhe tehser
tehsre tehesr tehers tehres tehrse teehsr teehrs teeshr teesrh teersh teerhs
terhes terhse terehs teresh terseh tershe trshee trshee trsehe trseeh trseeh
trsehe trhsee trhsee trhese trhees trhees trhese trehse trehes treshe treseh
treesh treehs trehes trehse treehs treesh treseh treshe hetser hetsre hetesr
heters hetres hetrse hester hestre hesetr hesert hesret hesrte heestr heesrt
heetsr heetrs heerts heerst herset herste herest herets hertes hertse hteser
htesre hteesr hteers hteres hterse htseer htsere htseer htsere htsree htsree
hteser htesre hteesr hteers hteres hterse htrsee htrsee htrese htrees htrees
htrese hsteer hstere hsteer hstere hstree hstree hseter hsetre hseetr hseert
hseret hserte hseetr hseert hseter hsetre hserte hseret hsreet hsrete hsreet
hsrete hsrtee hsrtee hetser hetsre hetesr heters hetres hetrse hester hestre
hesetr hesert hesret hesrte heestr heesrt heetsr heetrs heerts heerst herset
herste herest herets hertes hertse hrtsee hrtsee hrtese hrtees hrtees hrtese
hrstee hrstee hrsete hrseet hrseet hrsete hreste hreset hretse hretes hreets
hreest hreset hreste hreest hreets hretes hretse eethsr eethrs eetshr eetsrh
eetrsh eetrhs eehtsr eehtrs eehstr eehsrt eehrst eehrts eeshtr eeshrt eesthr
eestrh eesrth eesrht eerhst eerhts eersht eersth eertsh eerths etehsr etehrs
eteshr etesrh etersh eterhs ethesr ethers ethser ethsre ethrse ethres etsher
etshre etsehr etserh etsreh etsrhe etrhse etrhes etrshe etrseh etresh etrehs
ehtesr ehters ehtser ehtsre ehtrse ehtres ehetsr ehetrs ehestr ehesrt eherst
eherts ehsetr ehsert ehster ehstre ehsrte ehsret ehrest ehrets ehrset ehrste
ehrtse ehrtes esther esthre estehr esterh estreh estrhe eshter eshtre eshetr
eshert eshret eshrte esehtr esehrt esethr esetrh eserth eserht esrhet esrhte
esreht esreth esrteh esrthe erthse erthes ertshe ertseh ertesh ertehs erhtse
erhtes erhste erhset erhest erhets ershte ershet ersthe ersteh erseth erseht
erehst erehts eresht eresth eretsh ereths rethes rethse retehs retesh retseh
retshe rehtes rehtse rehets rehest rehset rehste reehts reehst reeths reetsh
reesth reesht reshet reshte reseht reseth resteh resthe rtehes rtehse rteehs
rteesh rteseh rteshe rthees rthese rthees rthese rthsee rthsee rtehes rtehse
rteehs rteesh rteseh rteshe rtshee rtshee rtsehe rtseeh rtseeh rtsehe rhtees
rhtese rhtees rhtese rhtsee rhtsee rhetes rhetse rheets rheest rheset rheste
rheets rheest rhetes rhetse rheste rheset rhseet rhsete rhseet rhsete rhstee
rhstee rethes rethse retehs retesh retseh retshe rehtes rehtse rehets rehest
rehset rehste reehts reehst reeths reetsh reesth reesht reshet reshte reseht
reseth resteh resthe rsthee rsthee rstehe rsteeh rsteeh rstehe rshtee rshtee
rshete rsheet rsheet rshete rsehte rsehet rsethe rseteh rseeth rseeht rsehet
rsehte rseeht rseeth rseteh rsethe

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