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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: neudeckian
cipher variations:
ofvefdljbo pgwfgemkcp qhxghfnldq riyhigomer sjzijhpnfs
tkajkiqogt ulbkljrphu vmclmksqiv wndmnltrjw xoenomuskx
ypfopnvtly zqgpqowumz arhqrpxvna bsirsqywob ctjstrzxpc
duktusayqd evluvtbzre fwmvwucasf gxnwxvdbtg hyoxywecuh
izpyzxfdvi jaqzaygewj kbrabzhfxk lcsbcaigyl mdtcdbjhzm

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: neudeckian
Cipher: mvfwvxprzm

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: neudeckian
Cipher: ABBAA AABAA BAABB AAABB AABAA AAABA ABAAB ABAAA AAAAA ABBAA

Read more ...

 

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: neudeckian
cipher variations:
ofvefdljboonjknhfzboovxqvlzpboodlwdptfboolzcltnvbootnitxhlboojpujfvrboordarjphbo
ozrgznjxboohfmhrdnbooptspvxdbooxhyxzrtbopgwfgemkcppokloigacppwyrwmaqcppemxequgcp
pmadmuowcppuojuyimcppkqvkgwscppsebskqicppashaokycppigniseocppqutqwyecppyizyasucp
qhxghfnldqqplmpjhbdqqxzsxnbrdqqfnyfrvhdqqnbenvpxdqqvpkvzjndqqlrwlhxtdqqtfctlrjdq
qbtibplzdqqjhojtfpdqqrvurxzfdqqzjazbtvdqriyhigomerrqmnqkicerryatyocserrgozgswier
rocfowqyerrwqlwakoerrmsxmiyuerrugdumskerrcujcqmaerrkipkugqerrswvsyagerrakbacuwer
sjzijhpnfssrnorljdfsszbuzpdtfsshpahtxjfsspdgpxrzfssxrmxblpfssntynjzvfssvhevntlfs
sdvkdrnbfssljqlvhrfsstxwtzbhfssblcbdvxfstkajkiqogttsopsmkegttacvaqeugttiqbiuykgt
tqehqysagttysnycmqgttouzokawgttwifwoumgttewlesocgttmkrmwisgttuyxuacigttcmdcewygt
ulbkljrphuutpqtnlfhuubdwbrfvhuujrcjvzlhuurfirztbhuuztozdnrhuupvaplbxhuuxjgxpvnhu
ufxmftpdhuunlsnxjthuuvzyvbdjhuudnedfxzhuvmclmksqivvuqruomgivvcexcsgwivvksdkwamiv
vsgjsaucivvaupaeosivvqwbqmcyivvykhyqwoivvgynguqeivvomtoykuivvwazwcekivveofegyaiv
wndmnltrjwwvrsvpnhjwwdfydthxjwwltelxbnjwwthktbvdjwwbvqbfptjwwrxcrndzjwwzlizrxpjw
whzohvrfjwwpnupzlvjwwxbaxdfljwwfpgfhzbjwxoenomuskxxwstwqoikxxegzeuiykxxmufmycokx
xuilucwekxxcwrcgqukxxsydsoeakxxamjasyqkxxiapiwsgkxxqovqamwkxxycbyegmkxxgqhgiackx
ypfopnvtlyyxtuxrpjlyyfhafvjzlyynvgnzdplyyvjmvdxflyydxsdhrvlyytzetpfblyybnkbtzrly
yjbqjxthlyyrpwrbnxlyyzdczfhnlyyhrihjbdlyzqgpqowumzzyuvysqkmzzgibgwkamzzowhoaeqmz
zwknweygmzzeyteiswmzzuafuqgcmzzcolcuasmzzkcrkyuimzzsqxscoymzzaedagiomzzisjikcemz
arhqrpxvnaazvwztrlnaahjchxlbnaapxipbfrnaaxloxfzhnaafzufjtxnaavbgvrhdnaadpmdvbtna
aldslzvjnaatrytdpznaabfebhjpnaajtkjldfnabsirsqywobbawxausmobbikdiymcobbqyjqcgsob
bympygaiobbgavgkuyobbwchwsieobbeqnewcuobbmetmawkobbuszueqaobbcgfcikqobbkulkmegob
ctjstrzxpccbxybvtnpccjlejzndpccrzkrdhtpccznqzhbjpcchbwhlvzpccxdixtjfpccfrofxdvpc
cnfunbxlpccvtavfrbpccdhgdjlrpcclvmlnfhpcduktusayqddcyzcwuoqddkmfkaoeqddsalseiuqd
daoraickqddicximwaqddyejyukgqddgspgyewqddogvocymqddwubwgscqddeihekmsqddmwnmogiqd
evluvtbzreedzadxvpreelnglbpfreetbmtfjvreebpsbjdlreejdyjnxbreezfkzvlhreehtqhzfxre
ephwpdznreexvcxhtdreefjiflntreenxonphjrefwmvwucasffeabeywqsffmohmcqgsffucnugkwsf
fcqtckemsffkezkoycsffaglawmisffiuriagysffqixqeaosffywdyiuesffgkjgmousffoypoqiksf
gxnwxvdbtggfbcfzxrtggnpindrhtggvdovhlxtggdrudlfntgglfalpzdtggbhmbxnjtggjvsjbhztg
grjyrfbptggzxezjvftgghlkhnpvtggpzqprjltghyoxywecuhhgcdgaysuhhoqjoesiuhhwepwimyuh
hesvemgouhhmgbmqaeuhhcincyokuhhkwtkciauhhskzsgcquhhayfakwguhhimlioqwuhhqarqskmuh
izpyzxfdviihdehbztviiprkpftjviixfqxjnzviiftwfnhpviinhcnrbfviidjodzplviilxuldjbvi
itlathdrviibzgblxhviijnmjprxviirbsrtlnvijaqzaygewjjieficauwjjqslqgukwjjygrykoawj
jguxgoiqwjjoidoscgwjjekpeaqmwjjmyvmekcwjjumbuieswjjcahcmyiwjjkonkqsywjjsctsumowj
kbrabzhfxkkjfgjdbvxkkrtmrhvlxkkzhszlpbxkkhvyhpjrxkkpjeptdhxkkflqfbrnxkknzwnfldxk
kvncvjftxkkdbidnzjxkklpolrtzxkktdutvnpxklcsbcaigyllkghkecwyllsunsiwmyllaitamqcyl
liwziqksyllqkfqueiyllgmrgcsoylloaxogmeyllwodwkguyllecjeoakyllmqpmsuaylluevuwoqyl
mdtcdbjhzmmlhilfdxzmmtvotjxnzmmbjubnrdzmmjxajrltzmmrlgrvfjzmmhnshdtpzmmpbyphnfzm
mxpexlhvzmmfdkfpblzmmnrqntvbzmmvfwvxprzmneudeckiannmijmgeyannuwpukyoannckvcosean
nkybksmuannsmhswgkanniotieuqannqczqiogannyqfymiwanngelgqcmannosrouwcannwgxwyqsan

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: neudeckian
Cipher: arhqrpxvna

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: neudeckian
Cipher: 33515441513152421133

Extended Methods:
Method #1

Plaintext: neudeckian
method variations:
skzikhpofsxpeopnutlxcuktuszyqchzpyzxedvh

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
n e u d e c k i a n 
3 5 5 4 5 3 5 4 1 3 
3 1 4 1 1 1 2 2 1 3 
They are then read out in rows:
35545354133141112213
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: neudeckian
Cipher: xupulcdagl

Read more ...
Method #3

Plaintext: neudeckian
method variations:
xvtvlvrbln vtvlvrblnx tvlvrblnxv
vlvrblnxvt lvrblnxvtv vrblnxvtvl
rblnxvtvlv blnxvtvlvr lnxvtvlvrb
nxvtvlvrbl

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: neudeckian

first 5040 cipher variations(3628800 total)
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neuadnkcei neuadnkcie neuadnikec neuadnikce neuadniekc neuadnieck neuadnicek neuadnicke neuadneikc neuadneick neuadnekic
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neuanckdie neuanckdei neuanckedi neuanckeid neuancikde neuanciked neuancidke neuancidek neuanciedk neuanciekd neuancdike
neuancdiek neuancdkie neuancdkei neuancdeki neuancdeik neuanceidk neuanceikd neuancedik neuancedki neuancekdi neuancekid
neuankcide neuankcied neuankcdie neuankcdei neuankcedi neuankceid neuankicde neuankiced neuankidce neuankidec neuankiedc
neuankiecd neuankdice neuankdiec neuankdcie neuankdcei neuankdeci neuankdeic neuankeidc neuankeicd neuankedic neuankedci
neuankecdi neuankecid neuanikcde neuanikced neuanikdce neuanikdec neuanikedc neuanikecd neuanickde neuanicked neuanicdke
neuanicdek neuanicedk neuanicekd neuanidcke neuanidcek neuanidkce neuanidkec neuanidekc neuanideck neuaniecdk neuanieckd
neuaniedck neuaniedkc neuaniekdc neuaniekcd neuandkice neuandkiec neuandkcie neuandkcei neuandkeci neuandkeic neuandikce
neuandikec neuandicke neuandicek neuandieck neuandiekc neuandcike neuandciek neuandckie neuandckei neuandceki neuandceik
neuandeick neuandeikc neuandecik neuandecki neuandekci neuandekic neuanekidc neuanekicd neuanekdic neuanekdci neuanekcdi
neuanekcid neuaneikdc neuaneikcd neuaneidkc neuaneidck neuaneicdk neuaneickd neuanedikc neuanedick neuanedkic neuanedkci
neuanedcki neuanedcik neuanecidk neuanecikd neuanecdik neuanecdki neuaneckdi neuaneckid neuneckiad neuneckida neuneckaid
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neunecakid neunecakdi neunecadki neunecadik neunecdiak neunecdika neunecdaik neunecdaki neunecdkai neunecdkia neunekciad
neunekcida neunekcaid neunekcadi neunekcdai neunekcdia neunekicad neunekicda neunekiacd neunekiadc neunekidac neunekidca
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neunekdcia neuneikcad neuneikcda neuneikacd neuneikadc neuneikdac neuneikdca neuneickad neuneickda neuneicakd neuneicadk
neuneicdak neuneicdka neuneiackd neuneiacdk neuneiakcd neuneiakdc neuneiadkc neuneiadck neuneidcak neuneidcka neuneidack
neuneidakc neuneidkac neuneidkca neuneakicd neuneakidc neuneakcid neuneakcdi neuneakdci neuneakdic neuneaikcd neuneaikdc
neuneaickd neuneaicdk neuneaidck neuneaidkc neuneacikd neuneacidk neuneackid neuneackdi neuneacdki neuneacdik neuneadick
neuneadikc neuneadcik neuneadcki neuneadkci neuneadkic neunedkiac neunedkica neunedkaic neunedkaci neunedkcai neunedkcia
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neunedacik neunedciak neunedcika neunedcaik neunedcaki neunedckai neunedckia neuncekiad neuncekida neuncekaid neuncekadi
neuncekdai neuncekdia neunceikad neunceikda neunceiakd neunceiadk neunceidak neunceidka neunceaikd neunceaidk neunceakid
neunceakdi neunceadki neunceadik neuncediak neuncedika neuncedaik neuncedaki neuncedkai neuncedkia neunckeiad neunckeida
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neunckaide neunckaeid neunckaedi neunckadei neunckadie neunckdiae neunckdiea neunckdaie neunckdaei neunckdeai neunckdeia
neuncikead neuncikeda neuncikaed neuncikade neuncikdae neuncikdea neunciekad neunciekda neuncieakd neuncieadk neunciedak
neunciedka neunciaekd neunciaedk neunciaked neunciakde neunciadke neunciadek neuncideak neuncideka neuncidaek neuncidake
neuncidkae neuncidkea neuncakied neuncakide neuncakeid neuncakedi neuncakdei neuncakdie neuncaiked neuncaikde neuncaiekd
neuncaiedk neuncaidek neuncaidke neuncaeikd neuncaeidk neuncaekid neuncaekdi neuncaedki neuncaedik neuncadiek neuncadike
neuncadeik neuncadeki neuncadkei neuncadkie neuncdkiae neuncdkiea neuncdkaie neuncdkaei neuncdkeai neuncdkeia neuncdikae
neuncdikea neuncdiake neuncdiaek neuncdieak neuncdieka neuncdaike neuncdaiek neuncdakie neuncdakei neuncdaeki neuncdaeik
neuncdeiak neuncdeika neuncdeaik neuncdeaki neuncdekai neuncdekia neunkceiad neunkceida neunkceaid neunkceadi neunkcedai
neunkcedia neunkciead neunkcieda neunkciaed neunkciade neunkcidae neunkcidea neunkcaied neunkcaide neunkcaeid neunkcaedi
neunkcadei neunkcadie neunkcdiae neunkcdiea neunkcdaie neunkcdaei neunkcdeai neunkcdeia neunkeciad neunkecida neunkecaid
neunkecadi neunkecdai neunkecdia neunkeicad neunkeicda neunkeiacd neunkeiadc neunkeidac neunkeidca neunkeaicd neunkeaidc
neunkeacid neunkeacdi neunkeadci neunkeadic neunkediac neunkedica neunkedaic neunkedaci neunkedcai neunkedcia neunkiecad
neunkiecda neunkieacd neunkieadc neunkiedac neunkiedca neunkicead neunkiceda neunkicaed neunkicade neunkicdae neunkicdea
neunkiaced neunkiacde neunkiaecd neunkiaedc neunkiadec neunkiadce neunkidcae neunkidcea neunkidace neunkidaec neunkideac
neunkideca neunkaeicd neunkaeidc neunkaecid neunkaecdi neunkaedci neunkaedic neunkaiecd neunkaiedc neunkaiced neunkaicde
neunkaidce neunkaidec neunkacied neunkacide neunkaceid neunkacedi neunkacdei neunkacdie neunkadice neunkadiec neunkadcie
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neunkdiaec neunkdiace neunkdicae neunkdicea neunkdaiec neunkdaice neunkdaeic neunkdaeci neunkdacei neunkdacie neunkdciae
neunkdciea neunkdcaie neunkdcaei neunkdceai neunkdceia neunickead neunickeda neunickaed neunickade neunickdae neunickdea
neunicekad neunicekda neuniceakd neuniceadk neunicedak neunicedka neunicaekd neunicaedk neunicaked neunicakde neunicadke
neunicadek neunicdeak neunicdeka neunicdaek neunicdake neunicdkae neunicdkea neunikcead neunikceda neunikcaed neunikcade
neunikcdae neunikcdea neunikecad neunikecda neunikeacd neunikeadc neunikedac neunikedca neunikaecd neunikaedc neunikaced
neunikacde neunikadce neunikadec neunikdeac neunikdeca neunikdaec neunikdace neunikdcae neunikdcea neuniekcad neuniekcda
neuniekacd neuniekadc neuniekdac neuniekdca neunieckad neunieckda neuniecakd neuniecadk neuniecdak neuniecdka neunieackd
neunieacdk neunieakcd neunieakdc neunieadkc neunieadck neuniedcak neuniedcka neuniedack neuniedakc neuniedkac neuniedkca
neuniakecd neuniakedc neuniakced neuniakcde neuniakdce neuniakdec neuniaekcd neuniaekdc neuniaeckd neuniaecdk neuniaedck
neuniaedkc neuniacekd neuniacedk neuniacked neuniackde neuniacdke neuniacdek neuniadeck neuniadekc neuniadcek neuniadcke
neuniadkce neuniadkec neunidkeac neunidkeca neunidkaec neunidkace neunidkcae neunidkcea neunidekac neunidekca neunideakc
neunideack neunidecak neunidecka neunidaekc neunidaeck neunidakec neunidakce neunidacke neunidacek neunidceak neunidceka
neunidcaek neunidcake neunidckae neunidckea neunackied neunackide neunackeid neunackedi neunackdei neunackdie neunaciked
neunacikde neunaciekd neunaciedk neunacidek neunacidke neunaceikd neunaceidk neunacekid neunacekdi neunacedki neunacedik
neunacdiek neunacdike neunacdeik neunacdeki neunacdkei neunacdkie neunakcied neunakcide neunakceid neunakcedi neunakcdei
neunakcdie neunakiced neunakicde neunakiecd neunakiedc neunakidec neunakidce neunakeicd neunakeidc neunakecid neunakecdi
neunakedci neunakedic neunakdiec neunakdice neunakdeic neunakdeci neunakdcei neunakdcie neunaikced neunaikcde neunaikecd
neunaikedc neunaikdec neunaikdce neunaicked neunaickde neunaicekd neunaicedk neunaicdek neunaicdke neunaieckd neunaiecdk
neunaiekcd neunaiekdc neunaiedkc neunaiedck neunaidcek neunaidcke neunaideck neunaidekc neunaidkec neunaidkce neunaekicd
neunaekidc neunaekcid neunaekcdi neunaekdci neunaekdic neunaeikcd neunaeikdc neunaeickd neunaeicdk neunaeidck neunaeidkc
neunaecikd neunaecidk neunaeckid neunaeckdi neunaecdki neunaecdik neunaedick neunaedikc neunaedcik neunaedcki neunaedkci
neunaedkic neunadkiec neunadkice neunadkeic neunadkeci neunadkcei neunadkcie neunadikec neunadikce neunadiekc neunadieck
neunadicek neunadicke neunadeikc neunadeick neunadekic neunadekci neunadecki neunadecik neunadciek neunadcike neunadceik
neunadceki neunadckei neunadckie neundckiae neundckiea neundckaie neundckaei neundckeai neundckeia neundcikae neundcikea
neundciake neundciaek neundcieak neundcieka neundcaike neundcaiek neundcakie neundcakei neundcaeki neundcaeik neundceiak
neundceika neundceaik neundceaki neundcekai neundcekia neundkciae neundkciea neundkcaie neundkcaei neundkceai neundkceia
neundkicae neundkicea neundkiace neundkiaec neundkieac neundkieca neundkaice neundkaiec neundkacie neundkacei neundkaeci
neundkaeic neundkeiac neundkeica neundkeaic neundkeaci neundkecai neundkecia neundikcae neundikcea neundikace neundikaec
neundikeac neundikeca neundickae neundickea neundicake neundicaek neundiceak neundiceka neundiacke neundiacek neundiakce
neundiakec neundiaekc neundiaeck neundiecak neundiecka neundieack neundieakc neundiekac neundiekca neundakice neundakiec
neundakcie neundakcei neundakeci neundakeic neundaikce neundaikec neundaicke neundaicek neundaieck neundaiekc neundacike
neundaciek neundackie neundackei neundaceki neundaceik neundaeick neundaeikc neundaecik neundaecki neundaekci neundaekic
neundekiac neundekica neundekaic neundekaci neundekcai neundekcia neundeikac neundeikca neundeiakc neundeiack neundeicak
neundeicka neundeaikc neundeaick neundeakic neundeakci neundeacki neundeacik neundeciak neundecika neundecaik neundecaki
neundeckai neundeckia

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History of cryptography
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