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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: panera
cipher variations:
qbofsb rcpgtc sdqhud terive ufsjwf
vgtkxg whulyh xivmzi yjwnaj zkxobk
alypcl bmzqdm cnaren dobsfo epctgp
fqduhq grevir hsfwjs itgxkt juhylu
kvizmv lwjanw mxkbox nylcpy ozmdqz

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: panera
Cipher: kzmviz

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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: panera
Cipher: ABBBA AAAAA ABBAA AABAA BAAAA AAAAA

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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: panera
cipher variations:
qbofsbubonabybovibcbodqbgbolybkbotgbsbojwbwboreb
abozmbebohubibopcbmboxkbrcpgtcvcpobczcpwjcdcperc
hcpmzclcpuhctcpkxcxcpsfcbcpancfcpivcjcpqdcncpylc
sdqhudwdqpcdadqxkdedqfsdidqnadmdqvidudqlydydqtgd
cdqbodgdqjwdkdqredodqzmdterivexerqdeberylefergte
jerobenerwjevermzezeruhedercpeherkxelersfeperane
ufsjwfyfsrefcfszmfgfshufkfspcfofsxkfwfsnafafsvif
efsdqfifslyfmfstgfqfsbofvgtkxgzgtsfgdgtanghgtivg
lgtqdgpgtylgxgtobgbgtwjgfgtergjgtmzgngtuhgrgtcpg
whulyhahutghehubohihujwhmhurehqhuzmhyhupchchuxkh
ghufshkhunahohuvihshudqhxivmzibivuhifivcpijivkxi
nivsfirivanizivqdidivylihivgtilivobipivwjitiveri
yjwnajcjwvijgjwdqjkjwlyjojwtgjsjwbojajwrejejwzmj
ijwhujmjwpcjqjwxkjujwfsjzkxobkdkxwjkhkxerklkxmzk
pkxuhktkxcpkbkxsfkfkxankjkxivknkxqdkrkxylkvkxgtk
alypclelyxklilyfslmlynalqlyvilulydqlclytglglybol
klyjwlolyrelslyzmlwlyhulbmzqdmfmzylmjmzgtmnmzobm
rmzwjmvmzermdmzuhmhmzcpmlmzkxmpmzsfmtmzanmxmzivm
cnarengnazmnknahunonapcnsnaxknwnafsnenavininadqn
mnalynqnatgnunabonynajwndobsfohobanolobivopobqdo
tobyloxobgtofobwjojoberonobmzorobuhovobcpozobkxo
epctgpipcbopmpcjwpqpcrepupczmpypchupgpcxkpkpcfsp
opcnapspcvipwpcdqpapclypfqduhqjqdcpqnqdkxqrqdsfq
vqdanqzqdivqhqdylqlqdgtqpqdobqtqdwjqxqderqbqdmzq
grevirkredqrorelyrsretgrwreborarejwrirezmrmrehur
qrepcrurexkryrefsrcrenarhsfwjslsferspsfmzstsfuhs
xsfcpsbsfkxsjsfansnsfivsrsfqdsvsfylszsfgtsdsfobs
itgxktmtgfstqtgnatutgvitytgdqtctglytktgbototgjwt
stgretwtgzmtatghutetgpctjuhylunuhgturuhobuvuhwju
zuheruduhmzuluhcpupuhkxutuhsfuxuhanubuhivufuhqdu
kvizmvovihuvsvipcvwvixkvavifsvevinavmvidqvqvilyv
uvitgvyvibovcvijwvgvirevlwjanwpwjivwtwjqdwxwjylw
bwjgtwfwjobwnwjerwrwjmzwvwjuhwzwjcpwdwjkxwhwjsfw
mxkboxqxkjwxuxkrexyxkzmxcxkhuxgxkpcxoxkfsxsxknax
wxkvixaxkdqxexklyxixktgxnylcpyrylkxyvylsfyzylany
dylivyhylqdypylgtytylobyxylwjybyleryfylmzyjyluhy
ozmdqzszmlyzwzmtgzazmbozezmjwzizmrezqzmhuzuzmpcz
yzmxkzczmfszgzmnazkzmvizpaneratanmzaxanuhabancpa
fankxajansfaranivavanqdazanyladangtahanobalanwja

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: panera
Cipher: cnaren

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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: panera
Cipher: 531133512411

Extended Methods:
Method #1

Plaintext: panera
method variations:
ufskwfzlxpbleqcugqkvhzmv

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
p a n e r a 
5 1 3 5 2 1 
3 1 3 1 4 1 
They are then read out in rows:
513521313141
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: panera
Cipher: exbccd

Read more ...
Method #3

Plaintext: panera
method variations:
clxfdv lxfdvc xfdvcl
fdvclx dvclxf vclxfd

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: panera

all 720 cipher variations:
panera panear panrea panrae panare panaer paenra paenar paerna paeran paearn
paeanr parena parean parnea parnae parane paraen paaern paaenr paaren paarne
paanre paaner pnaera pnaear pnarea pnarae pnaare pnaaer pneara pneaar pneraa
pneraa pneara pneaar pnreaa pnreaa pnraea pnraae pnraae pnraea pnaera pnaear
pnarea pnarae pnaare pnaaer penara penaar penraa penraa penara penaar peanra
peanar pearna pearan peaarn peaanr perana peraan pernaa pernaa perana peraan
peaarn peaanr pearan pearna peanra peanar prneaa prneaa prnaea prnaae prnaae
prnaea prenaa prenaa preana preaan preaan preana praena praean pranea pranae
praane praaen praean praena praaen praane pranae pranea panera panear panrea
panrae panare panaer paenra paenar paerna paeran paearn paeanr parena parean
parnea parnae parane paraen paaern paaenr paaren paarne paanre paaner apnera
apnear apnrea apnrae apnare apnaer apenra apenar aperna aperan apearn apeanr
aprena aprean aprnea aprnae aprane apraen apaern apaenr aparen aparne apanre
apaner anpera anpear anprea anprae anpare anpaer anepra anepar anerpa anerap
anearp aneapr anrepa anreap anrpea anrpae anrape anraep anaerp anaepr anarep
anarpe anapre anaper aenpra aenpar aenrpa aenrap aenarp aenapr aepnra aepnar
aeprna aepran aeparn aepanr aerpna aerpan aernpa aernap aeranp aerapn aeaprn
aeapnr aearpn aearnp aeanrp aeanpr arnepa arneap arnpea arnpae arnape arnaep
arenpa arenap arepna arepan areapn areanp arpena arpean arpnea arpnae arpane
arpaen araepn araenp arapen arapne aranpe aranep aanerp aanepr aanrep aanrpe
aanpre aanper aaenrp aaenpr aaernp aaerpn aaeprn aaepnr aarenp aarepn aarnep
aarnpe aarpne aarpen aapern aapenr aapren aaprne aapnre aapner napera napear
naprea naprae napare napaer naepra naepar naerpa naerap naearp naeapr narepa
nareap narpea narpae narape naraep naaerp naaepr naarep naarpe naapre naaper
npaera npaear nparea nparae npaare npaaer npeara npeaar nperaa nperaa npeara
npeaar npreaa npreaa npraea npraae npraae npraea npaera npaear nparea nparae
npaare npaaer nepara nepaar nepraa nepraa nepara nepaar neapra neapar nearpa
nearap neaarp neaapr nerapa neraap nerpaa nerpaa nerapa neraap neaarp neaapr
nearap nearpa neapra neapar nrpeaa nrpeaa nrpaea nrpaae nrpaae nrpaea nrepaa
nrepaa nreapa nreaap nreaap nreapa nraepa nraeap nrapea nrapae nraape nraaep
nraeap nraepa nraaep nraape nrapae nrapea napera napear naprea naprae napare
napaer naepra naepar naerpa naerap naearp naeapr narepa nareap narpea narpae
narape naraep naaerp naaepr naarep naarpe naapre naaper eanpra eanpar eanrpa
eanrap eanarp eanapr eapnra eapnar eaprna eapran eaparn eapanr earpna earpan
earnpa earnap earanp earapn eaaprn eaapnr eaarpn eaarnp eaanrp eaanpr enapra
enapar enarpa enarap enaarp enaapr enpara enpaar enpraa enpraa enpara enpaar
enrpaa enrpaa enrapa enraap enraap enrapa enapra enapar enarpa enarap enaarp
enaapr epnara epnaar epnraa epnraa epnara epnaar epanra epanar eparna eparan
epaarn epaanr eprana epraan eprnaa eprnaa eprana epraan epaarn epaanr eparan
eparna epanra epanar ernpaa ernpaa ernapa ernaap ernaap ernapa erpnaa erpnaa
erpana erpaan erpaan erpana erapna erapan eranpa eranap eraanp eraapn erapan
erapna eraapn eraanp eranap eranpa eanpra eanpar eanrpa eanrap eanarp eanapr
eapnra eapnar eaprna eapran eaparn eapanr earpna earpan earnpa earnap earanp
earapn eaaprn eaapnr eaarpn eaarnp eaanrp eaanpr ranepa raneap ranpea ranpae
ranape ranaep raenpa raenap raepna raepan raeapn raeanp rapena rapean rapnea
rapnae rapane rapaen raaepn raaenp raapen raapne raanpe raanep rnaepa rnaeap
rnapea rnapae rnaape rnaaep rneapa rneaap rnepaa rnepaa rneapa rneaap rnpeaa
rnpeaa rnpaea rnpaae rnpaae rnpaea rnaepa rnaeap rnapea rnapae rnaape rnaaep
renapa renaap renpaa renpaa renapa renaap reanpa reanap reapna reapan reaapn
reaanp repana repaan repnaa repnaa repana repaan reaapn reaanp reapan reapna
reanpa reanap rpneaa rpneaa rpnaea rpnaae rpnaae rpnaea rpenaa rpenaa rpeana
rpeaan rpeaan rpeana rpaena rpaean rpanea rpanae rpaane rpaaen rpaean rpaena
rpaaen rpaane rpanae rpanea ranepa raneap ranpea ranpae ranape ranaep raenpa
raenap raepna raepan raeapn raeanp rapena rapean rapnea rapnae rapane rapaen
raaepn raaenp raapen raapne raanpe raanep aanerp aanepr aanrep aanrpe aanpre
aanper aaenrp aaenpr aaernp aaerpn aaeprn aaepnr aarenp aarepn aarnep aarnpe
aarpne aarpen aapern aapenr aapren aaprne aapnre aapner anaerp anaepr anarep
anarpe anapre anaper anearp aneapr anerap anerpa anepra anepar anreap anrepa
anraep anrape anrpae anrpea anpera anpear anprea anprae anpare anpaer aenarp
aenapr aenrap aenrpa aenpra aenpar aeanrp aeanpr aearnp aearpn aeaprn aeapnr
aeranp aerapn aernap aernpa aerpna aerpan aeparn aepanr aepran aeprna aepnra
aepnar arneap arnepa arnaep arnape arnpae arnpea arenap arenpa areanp areapn
arepan arepna araenp araepn aranep aranpe arapne arapen arpean arpena arpaen
arpane arpnae arpnea apnera apnear apnrea apnrae apnare apnaer apenra apenar
aperna aperan apearn apeanr aprena aprean aprnea aprnae aprane apraen apaern
apaenr aparen aparne apanre apaner

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