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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: pogrom
cipher variations:
qphspn rqitqo srjurp tskvsq utlwtr
vumxus wvnyvt xwozwu yxpaxv zyqbyw
azrczx basday cbtebz dcufca edvgdb
fewhec gfxifd hgyjge ihzkhf jialig
kjbmjh lkcnki mldolj nmepmk onfqnl

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: pogrom
Cipher: kltiln

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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: pogrom
Cipher: ABBBA ABBAB AABBA BAAAA ABBAB ABABB

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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: pogrom
cipher variations:
qphspnurtarlytfitjcvrqvhgxdyxfkzpgzdsdnwdzwfzefx
ahlmhvejxujtiljclrmnvknprqitqovsubsmzugjukdwsrwi
hyezyglaqhaeteoxeaxgafgybimniwfkyvkujmkdmsnowloq
srjurpwtvctnavhkvlextsxjizfazhmbribfufpyfbyhbghz
cjnojxglzwlvknlentopxmprtskvsqxuwduobwilwmfyutyk
jagbaincsjcgvgqzgczichiadkopkyhmaxmwlomfoupqynqs
utlwtryvxevpcxjmxngzvuzlkbhcbjodtkdhwhrahdajdijb
elpqlzinbynxmpngpvqrzortvumxuszwyfwqdyknyohawvam
lcidckpeuleixisbiebkejkcfmqrmajoczoynqohqwrsapsu
wvnyvtaxzgxrezlozpibxwbnmdjedlqfvmfjyjtcjfclfkld
gnrsnbkpdapzorpirxstbqtvxwozwubyahysfampaqjcyxco
nekfemrgwngkzkudkgdmglmehostoclqebqapsqjsytucruw
yxpaxvczbiztgbnqbrkdzydpoflgfnshxohlalvelhenhmnf
iptupdmrfcrbqtrktzuvdsvxzyqbywdacjauhcorcsleazeq
pgmhgotiypimbmwfmifoinogjquvqensgdscrusluavwetwy
azrczxebdkbvidpsdtmfbafrqhnihpujzqjncnxgnjgpjoph
krvwrfothetdsvtmvbwxfuxzbasdayfcelcwjeqteungcbgs
riojiqvkarkodoyhokhqkpqilswxsgpuifuetwunwcxygvya
cbtebzgdfmdxkfrufvohdchtsjpkjrwlbslpepziplirlqrj
mtxythqvjgvfuxvoxdyzhwzbdcufcahegneylgsvgwpiediu
tkqlksxmctmqfqajqmjsmrsknuyzuirwkhwgvywpyezaixac
edvgdbifhofzmhtwhxqjfejvulrmltyndunrgrbkrnktnstl
ovzavjsxlixhwzxqzfabjybdfewhecjgipganiuxiyrkgfkw
vmsnmuzoevoshsclsoluotumpwabwktymjyixayragbckzce
gfxifdkhjqhbojvyjzslhglxwntonvapfwptitdmtpmvpuvn
qxbcxluznkzjybzsbhcdladfhgyjgelikricpkwzkatmihmy
xoupowbqgxqujuenuqnwqvworycdymvaolakzcatcidembeg
ihzkhfmjlsjdqlxalbunjinzypvqpxcrhyrvkvfovroxrwxp
szdeznwbpmbladbudjefncfhjialignkmtkermybmcvokjoa
zqwrqydsizswlwgpwspysxyqtaefaoxcqncmbecvekfgodgi
kjbmjholnulfsnzcndwplkpbarxsrzetjatxmxhqxtqztyzr
ubfgbpydrodncfdwflghpehjlkcnkipmovmgtoadoexqmlqc
bsytsafukbuynyiryurauzasvcghcqzespeodgexgmhiqfik
mldoljqnpwnhupbepfyrnmrdctzutbgvlcvzozjszvsbvabt
wdhidraftqfpehfyhnijrgjlnmepmkroqxoivqcfqgzsonse
duavuchwmdwapaktawtcwbcuxeijesbgurgqfigziojkshkm
onfqnlsprypjwrdgrhatpotfevbwvdixnexbqblubxudxcdv
yfjkftchvshrgjhajpkltilnpogromtqszqkxsehsibuqpug
fwcxwejyofycrcmvcyveydewzgklgudiwtishkibkqlmujmo

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: pogrom
Cipher: cbtebz

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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: pogrom
Cipher: 534322244323

Extended Methods:
Method #1

Plaintext: pogrom
method variations:
utmwtrzyrbywedwgdbkibmig

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
p o g r o m 
5 4 2 2 4 2 
3 3 2 4 3 3 
They are then read out in rows:
542242332433
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: pogrom
Cipher: uginrn

Read more ...
Method #3

Plaintext: pogrom
method variations:
shgthx hgthxs gthxsh
thxshg hxshgt xshgth

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: pogrom

all 720 cipher variations:
pogrom pogrmo pogorm pogomr pogmor pogmro porgom porgmo porogm poromg pormog
pormgo poorgm poormg poogrm poogmr poomgr poomrg pomrog pomrgo pomorg pomogr
pomgor pomgro pgorom pgormo pgoorm pgoomr pgomor pgomro pgroom pgromo pgroom
pgromo pgrmoo pgrmoo pgorom pgormo pgoorm pgoomr pgomor pgomro pgmroo pgmroo
pgmoro pgmoor pgmoor pgmoro prgoom prgomo prgoom prgomo prgmoo prgmoo progom
progmo proogm proomg promog promgo proogm proomg progom progmo promgo promog
prmoog prmogo prmoog prmogo prmgoo prmgoo pogrom pogrmo pogorm pogomr pogmor
pogmro porgom porgmo porogm poromg pormog pormgo poorgm poormg poogrm poogmr
poomgr poomrg pomrog pomrgo pomorg pomogr pomgor pomgro pmgroo pmgroo pmgoro
pmgoor pmgoor pmgoro pmrgoo pmrgoo pmrogo pmroog pmroog pmrogo pmorgo pmorog
pmogro pmogor pmoogr pmoorg pmorog pmorgo pmoorg pmoogr pmogor pmogro opgrom
opgrmo opgorm opgomr opgmor opgmro oprgom oprgmo oprogm opromg oprmog oprmgo
oporgm opormg opogrm opogmr opomgr opomrg opmrog opmrgo opmorg opmogr opmgor
opmgro ogprom ogprmo ogporm ogpomr ogpmor ogpmro ogrpom ogrpmo ogropm ogromp
ogrmop ogrmpo ogorpm ogormp ogoprm ogopmr ogompr ogomrp ogmrop ogmrpo ogmorp
ogmopr ogmpor ogmpro orgpom orgpmo orgopm orgomp orgmop orgmpo orpgom orpgmo
orpogm orpomg orpmog orpmgo oropgm oropmg orogpm orogmp oromgp orompg ormpog
ormpgo ormopg ormogp ormgop ormgpo oogrpm oogrmp oogprm oogpmr oogmpr oogmrp
oorgpm oorgmp oorpgm oorpmg oormpg oormgp ooprgm ooprmg oopgrm oopgmr oopmgr
oopmrg oomrpg oomrgp oomprg oompgr oomgpr oomgrp omgrop omgrpo omgorp omgopr
omgpor omgpro omrgop omrgpo omrogp omropg omrpog omrpgo omorgp omorpg omogrp
omogpr omopgr omoprg omprog omprgo omporg ompogr ompgor ompgro goprom goprmo
goporm gopomr gopmor gopmro gorpom gorpmo goropm goromp gormop gormpo goorpm
goormp gooprm goopmr goompr goomrp gomrop gomrpo gomorp gomopr gompor gompro
gporom gpormo gpoorm gpoomr gpomor gpomro gproom gpromo gproom gpromo gprmoo
gprmoo gporom gpormo gpoorm gpoomr gpomor gpomro gpmroo gpmroo gpmoro gpmoor
gpmoor gpmoro grpoom grpomo grpoom grpomo grpmoo grpmoo gropom gropmo groopm
groomp gromop grompo groopm groomp gropom gropmo grompo gromop grmoop grmopo
grmoop grmopo grmpoo grmpoo goprom goprmo goporm gopomr gopmor gopmro gorpom
gorpmo goropm goromp gormop gormpo goorpm goormp gooprm goopmr goompr goomrp
gomrop gomrpo gomorp gomopr gompor gompro gmproo gmproo gmporo gmpoor gmpoor
gmporo gmrpoo gmrpoo gmropo gmroop gmroop gmropo gmorpo gmorop gmopro gmopor
gmoopr gmoorp gmorop gmorpo gmoorp gmoopr gmopor gmopro rogpom rogpmo rogopm
rogomp rogmop rogmpo ropgom ropgmo ropogm ropomg ropmog ropmgo roopgm roopmg
roogpm roogmp roomgp roompg rompog rompgo romopg romogp romgop romgpo rgopom
rgopmo rgoopm rgoomp rgomop rgompo rgpoom rgpomo rgpoom rgpomo rgpmoo rgpmoo
rgopom rgopmo rgoopm rgoomp rgomop rgompo rgmpoo rgmpoo rgmopo rgmoop rgmoop
rgmopo rpgoom rpgomo rpgoom rpgomo rpgmoo rpgmoo rpogom rpogmo rpoogm rpoomg
rpomog rpomgo rpoogm rpoomg rpogom rpogmo rpomgo rpomog rpmoog rpmogo rpmoog
rpmogo rpmgoo rpmgoo rogpom rogpmo rogopm rogomp rogmop rogmpo ropgom ropgmo
ropogm ropomg ropmog ropmgo roopgm roopmg roogpm roogmp roomgp roompg rompog
rompgo romopg romogp romgop romgpo rmgpoo rmgpoo rmgopo rmgoop rmgoop rmgopo
rmpgoo rmpgoo rmpogo rmpoog rmpoog rmpogo rmopgo rmopog rmogpo rmogop rmoogp
rmoopg rmopog rmopgo rmoopg rmoogp rmogop rmogpo oogrpm oogrmp oogprm oogpmr
oogmpr oogmrp oorgpm oorgmp oorpgm oorpmg oormpg oormgp ooprgm ooprmg oopgrm
oopgmr oopmgr oopmrg oomrpg oomrgp oomprg oompgr oomgpr oomgrp ogorpm ogormp
ogoprm ogopmr ogompr ogomrp ogropm ogromp ogrpom ogrpmo ogrmpo ogrmop ogprom
ogprmo ogporm ogpomr ogpmor ogpmro ogmrpo ogmrop ogmpro ogmpor ogmopr ogmorp
orgopm orgomp orgpom orgpmo orgmpo orgmop orogpm orogmp oropgm oropmg orompg
oromgp orpogm orpomg orpgom orpgmo orpmgo orpmog ormopg ormogp ormpog ormpgo
ormgpo ormgop opgrom opgrmo opgorm opgomr opgmor opgmro oprgom oprgmo oprogm
opromg oprmog oprmgo oporgm opormg opogrm opogmr opomgr opomrg opmrog opmrgo
opmorg opmogr opmgor opmgro omgrpo omgrop omgpro omgpor omgopr omgorp omrgpo
omrgop omrpgo omrpog omropg omrogp omprgo omprog ompgro ompgor ompogr omporg
omorpg omorgp omoprg omopgr omogpr omogrp mogrop mogrpo mogorp mogopr mogpor
mogpro morgop morgpo morogp moropg morpog morpgo moorgp moorpg moogrp moogpr
moopgr mooprg moprog moprgo moporg mopogr mopgor mopgro mgorop mgorpo mgoorp
mgoopr mgopor mgopro mgroop mgropo mgroop mgropo mgrpoo mgrpoo mgorop mgorpo
mgoorp mgoopr mgopor mgopro mgproo mgproo mgporo mgpoor mgpoor mgporo mrgoop
mrgopo mrgoop mrgopo mrgpoo mrgpoo mrogop mrogpo mroogp mroopg mropog mropgo
mroogp mroopg mrogop mrogpo mropgo mropog mrpoog mrpogo mrpoog mrpogo mrpgoo
mrpgoo mogrop mogrpo mogorp mogopr mogpor mogpro morgop morgpo morogp moropg
morpog morpgo moorgp moorpg moogrp moogpr moopgr mooprg moprog moprgo moporg
mopogr mopgor mopgro mpgroo mpgroo mpgoro mpgoor mpgoor mpgoro mprgoo mprgoo
mprogo mproog mproog mprogo mporgo mporog mpogro mpogor mpoogr mpoorg mporog
mporgo mpoorg mpoogr mpogor mpogro

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