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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: baskin
cipher variations:
cbtljo dcumkp edvnlq fewomr gfxpns
hgyqot ihzrpu jiasqv kjbtrw lkcusx
mldvty nmewuz onfxva pogywb qphzxc
rqiayd srjbze tskcaf utldbg vumech
wvnfdi xwogej yxphfk zyqigl azrjhm

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: baskin
Cipher: yzhprm

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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: baskin
Cipher: AAAAB AAAAA BAAAB ABAAB ABAAA ABBAA

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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: baskin
cipher variations:
cbtljoebdfzogbnzpoibxtfokbhnvombrhloqblvrosbvpho
ubfjxowbpdnoybzxdoabjrtodcumkpfcegaphcoaqpjcyugp
lciowpncsimprcmwsptcwqipvcgkypxcqeopzcayepbcksup
edvnlqgdfhbqidpbrqkdzvhqmdjpxqodtjnqsdnxtqudxrjq
wdhlzqydrfpqadbzfqcdltvqfewomrhegicrjeqcsrleawir
nekqyrpeukorteoyurveyskrxeimarzesgqrbecagrdemuwr
gfxpnsifhjdskfrdtsmfbxjsoflrzsqfvlpsufpzvswfztls
yfjnbsafthrscfdbhsefnvxshgyqotjgiketlgseutngcykt
pgmsatrgwmqtvgqawtxgaumtzgkoctbguistdgecitfgowyt
ihzrpukhjlfumhtfvuohdzluqhntbushxnruwhrbxuyhbvnu
ahlpduchvjtuehfdjughpxzujiasqvlikmgvniugwvpieamv
rioucvtiyosvxiscyvzicwovbimqevdiwkuvfigekvhiqyav
kjbtrwmjlnhwojvhxwqjfbnwsjpvdwujzptwyjtdzwajdxpw
cjnrfwejxlvwgjhflwijrzbwlkcusxnkmoixpkwiyxrkgcox
tkqwexvkaquxzkueaxbkeyqxdkosgxfkymwxhkigmxjksacx
mldvtyolnpjyqlxjzyslhdpyulrxfywlbrvyalvfbyclfzry
elpthyglznxyiljhnykltbdynmewuzpmoqkzrmykaztmieqz
vmsygzxmcswzbmwgczdmgaszfmquizhmaoyzjmkiozlmucez
onfxvaqnprlasnzlbaunjfrawntzhayndtxacnxhdaenhbta
gnrvjainbpzaknljpamnvdfapogywbroqsmbtoamcbvokgsb
xouaibzoeuybdoyiebfoicubhoswkbjocqablomkqbnowegb
qphzxcsprtncupbndcwplhtcypvbjcapfvzcepzjfcgpjdvc
iptxlckpdrbcmpnlrcopxfhcrqiaydtqsuodvqcoedxqmiud
zqwckdbqgwadfqakgdhqkewdjquymdlqescdnqomsdpqygid
srjbzeurtvpewrdpfeyrnjvearxdlecrhxbegrblheirlfxe
krvznemrftdeorpnteqrzhjetskcafvsuwqfxseqgfzsokwf
bsyemfdsiycfhscmifjsmgyflswaofnsguefpsqoufrsaikf
utldbgwtvxrgytfrhgatplxgctzfngetjzdgitdnjgktnhzg
mtxbpgothvfgqtrpvgstbjlgvumechxuwyshzugsihbuqmyh
duagohfukaehjueokhluoiahnuycqhpuiwghrusqwhtuckmh
wvnfdiyvxztiavhtjicvrnzievbhpigvlbfikvfplimvpjbi
ovzdriqvjxhisvtrxiuvdlnixwogejzwyaujbwiukjdwsoaj
fwciqjhwmcgjlwgqmjnwqkcjpwaesjrwkyijtwusyjvwemoj
yxphfkaxzbvkcxjvlkextpbkgxdjrkixndhkmxhrnkoxrldk
qxbftksxlzjkuxvtzkwxfnpkzyqiglbyacwldykwmlfyuqcl
hyeksljyoeilnyisolpysmelrycgultymaklvywualxygoql
azrjhmczbdxmezlxnmgzvrdmizfltmkzpfjmozjtpmqztnfm
szdhvmuznblmwzxvbmyzhprmbaskindaceynfamyonhawsen
jagmunlaqgknpakuqnrauogntaeiwnvaocmnxaywcnzaiqsn

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: baskin
Cipher: onfxva

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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: baskin
Cipher: 211134524233

Extended Methods:
Method #1

Plaintext: baskin
method variations:
gfxposmlcutxrqhzycwvnedh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
b a s k i n 
2 1 3 5 4 3 
1 1 4 2 2 3 
They are then read out in rows:
213543114223
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: baskin
Cipher: bxoaim

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Method #3

Plaintext: baskin
method variations:
alyrmh lyrmha yrmhal
rmhaly mhalyr halyrm

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: baskin

all 720 cipher variations:
baskin baskni basikn basink basnik basnki baksin baksni bakisn bakins baknis
baknsi baiksn baikns baiskn baisnk bainsk bainks bankis banksi baniks banisk
bansik banski bsakin bsakni bsaikn bsaink bsanik bsanki bskain bskani bskian
bskina bsknia bsknai bsikan bsikna bsiakn bsiank bsinak bsinka bsnkia bsnkai
bsnika bsniak bsnaik bsnaki bksain bksani bksian bksina bksnia bksnai bkasin
bkasni bkaisn bkains bkanis bkansi bkiasn bkians bkisan bkisna bkinsa bkinas
bknais bknasi bknias bknisa bknsia bknsai biskan biskna bisakn bisank bisnak
bisnka biksan biksna bikasn bikans biknas biknsa biaksn biakns biaskn biasnk
biansk bianks binkas binksa binaks binask binsak binska bnskia bnskai bnsika
bnsiak bnsaik bnsaki bnksia bnksai bnkisa bnkias bnkais bnkasi bniksa bnikas
bniska bnisak bniask bniaks bnakis bnaksi bnaiks bnaisk bnasik bnaski abskin
abskni absikn absink absnik absnki abksin abksni abkisn abkins abknis abknsi
abiksn abikns abiskn abisnk abinsk abinks abnkis abnksi abniks abnisk abnsik
abnski asbkin asbkni asbikn asbink asbnik asbnki askbin askbni askibn askinb
asknib asknbi asikbn asiknb asibkn asibnk asinbk asinkb asnkib asnkbi asnikb
asnibk asnbik asnbki aksbin aksbni aksibn aksinb aksnib aksnbi akbsin akbsni
akbisn akbins akbnis akbnsi akibsn akibns akisbn akisnb akinsb akinbs aknbis
aknbsi aknibs aknisb aknsib aknsbi aiskbn aisknb aisbkn aisbnk aisnbk aisnkb
aiksbn aiksnb aikbsn aikbns aiknbs aiknsb aibksn aibkns aibskn aibsnk aibnsk
aibnks ainkbs ainksb ainbks ainbsk ainsbk ainskb anskib anskbi ansikb ansibk
ansbik ansbki anksib anksbi ankisb ankibs ankbis ankbsi aniksb anikbs aniskb
anisbk anibsk anibks anbkis anbksi anbiks anbisk anbsik anbski sabkin sabkni
sabikn sabink sabnik sabnki sakbin sakbni sakibn sakinb saknib saknbi saikbn
saiknb saibkn saibnk sainbk sainkb sankib sankbi sanikb sanibk sanbik sanbki
sbakin sbakni sbaikn sbaink sbanik sbanki sbkain sbkani sbkian sbkina sbknia
sbknai sbikan sbikna sbiakn sbiank sbinak sbinka sbnkia sbnkai sbnika sbniak
sbnaik sbnaki skbain skbani skbian skbina skbnia skbnai skabin skabni skaibn
skainb skanib skanbi skiabn skianb skiban skibna skinba skinab sknaib sknabi
skniab skniba sknbia sknbai sibkan sibkna sibakn sibank sibnak sibnka sikban
sikbna sikabn sikanb siknab siknba siakbn siaknb siabkn siabnk sianbk siankb
sinkab sinkba sinakb sinabk sinbak sinbka snbkia snbkai snbika snbiak snbaik
snbaki snkbia snkbai snkiba snkiab snkaib snkabi snikba snikab snibka snibak
sniabk sniakb snakib snakbi snaikb snaibk snabik snabki kasbin kasbni kasibn
kasinb kasnib kasnbi kabsin kabsni kabisn kabins kabnis kabnsi kaibsn kaibns
kaisbn kaisnb kainsb kainbs kanbis kanbsi kanibs kanisb kansib kansbi ksabin
ksabni ksaibn ksainb ksanib ksanbi ksbain ksbani ksbian ksbina ksbnia ksbnai
ksiban ksibna ksiabn ksianb ksinab ksinba ksnbia ksnbai ksniba ksniab ksnaib
ksnabi kbsain kbsani kbsian kbsina kbsnia kbsnai kbasin kbasni kbaisn kbains
kbanis kbansi kbiasn kbians kbisan kbisna kbinsa kbinas kbnais kbnasi kbnias
kbnisa kbnsia kbnsai kisban kisbna kisabn kisanb kisnab kisnba kibsan kibsna
kibasn kibans kibnas kibnsa kiabsn kiabns kiasbn kiasnb kiansb kianbs kinbas
kinbsa kinabs kinasb kinsab kinsba knsbia knsbai knsiba knsiab knsaib knsabi
knbsia knbsai knbisa knbias knbais knbasi knibsa knibas knisba knisab kniasb
kniabs knabis knabsi knaibs knaisb knasib knasbi iaskbn iasknb iasbkn iasbnk
iasnbk iasnkb iaksbn iaksnb iakbsn iakbns iaknbs iaknsb iabksn iabkns iabskn
iabsnk iabnsk iabnks iankbs ianksb ianbks ianbsk iansbk ianskb isakbn isaknb
isabkn isabnk isanbk isankb iskabn iskanb iskban iskbna isknba isknab isbkan
isbkna isbakn isbank isbnak isbnka isnkba isnkab isnbka isnbak isnabk isnakb
iksabn iksanb iksban iksbna iksnba iksnab ikasbn ikasnb ikabsn ikabns ikanbs
ikansb ikbasn ikbans ikbsan ikbsna ikbnsa ikbnas iknabs iknasb iknbas iknbsa
iknsba iknsab ibskan ibskna ibsakn ibsank ibsnak ibsnka ibksan ibksna ibkasn
ibkans ibknas ibknsa ibaksn ibakns ibaskn ibasnk ibansk ibanks ibnkas ibnksa
ibnaks ibnask ibnsak ibnska inskba inskab insbka insbak insabk insakb inksba
inksab inkbsa inkbas inkabs inkasb inbksa inbkas inbska inbsak inbask inbaks
inakbs inaksb inabks inabsk inasbk inaskb naskib naskbi nasikb nasibk nasbik
nasbki naksib naksbi nakisb nakibs nakbis nakbsi naiksb naikbs naiskb naisbk
naibsk naibks nabkis nabksi nabiks nabisk nabsik nabski nsakib nsakbi nsaikb
nsaibk nsabik nsabki nskaib nskabi nskiab nskiba nskbia nskbai nsikab nsikba
nsiakb nsiabk nsibak nsibka nsbkia nsbkai nsbika nsbiak nsbaik nsbaki nksaib
nksabi nksiab nksiba nksbia nksbai nkasib nkasbi nkaisb nkaibs nkabis nkabsi
nkiasb nkiabs nkisab nkisba nkibsa nkibas nkbais nkbasi nkbias nkbisa nkbsia
nkbsai niskab niskba nisakb nisabk nisbak nisbka niksab niksba nikasb nikabs
nikbas nikbsa niaksb niakbs niaskb niasbk niabsk niabks nibkas nibksa nibaks
nibask nibsak nibska nbskia nbskai nbsika nbsiak nbsaik nbsaki nbksia nbksai
nbkisa nbkias nbkais nbkasi nbiksa nbikas nbiska nbisak nbiask nbiaks nbakis
nbaksi nbaiks nbaisk nbasik nbaski

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