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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: truthy
cipher variations:
usvuiz vtwvja wuxwkb xvyxlc ywzymd
zxazne aybaof bzcbpg cadcqh dbedri
ecfesj fdgftk gehgul hfihvm igjiwn
jhkjxo kilkyp ljmlzq mknmar nlonbs
ompoct pnqpdu qorqev rpsrfw sqtsgx

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: truthy
Cipher: gifgsb

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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: truthy
Cipher: BAABA BAAAA BAABB BAABA AABBB BABBA

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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: truthy
cipher variations:
usvuizgajgwvsixskreqleynqyzqmjcgncafawpacxmedmqt
ymryepkufkslwctwghikhiudvtwvjahbkhxwtjytlsfrmfzo
rzarnkdhodbgbxqbdynfenruznszfqlvgltmxduxhijlijve
wuxwkbicliyxukzumtgsngapsabsoleipechcyrcezogfosv
aotagrmwhmunyevyijkmjkwfxvyxlcjdmjzyvlavnuhtohbq
tbctpmfjqfdidzsdfaphgptwbpubhsnxinvozfwzjklnklxg
ywzymdkenkazwmbwoviupicrucduqngkrgejeategbqihqux
cqvcitoyjowpagxaklmolmyhzxaznelfolbaxncxpwjvqjds
vdevrohlshfkfbufhcrjirvydrwdjupzkpxqbhyblmnpmnzi
aybaofmgpmcbyodyqxkwrketwefwspimtiglgcvgidskjswz
esxekvqalqyrcizcmnoqnoajbzcbpgnhqndczpezrylxslfu
xfgxtqjnujhmhdwhjetlktxaftyflwrbmrzsdjadnopropbk
cadcqhoiroedaqfaszmytmgvyghyurkovkiniexikfumluyb
guzgmxscnsatekbeopqspqcldbedripjspfebrgbtanzunhw
zhizvslpwljojfyjlgvnmvzchvahnytdotbuflcfpqrtqrdm
ecfesjqktqgfcshcuboavoixaijawtmqxmkpkgzkmhwonwad
iwbiozuepucvgmdgqrsursenfdgftkrlurhgdtidvcpbwpjy
bjkbxunrynlqlhalnixpoxbejxcjpavfqvdwhnehrstvstfo
gehgulsmvsiheujewdqcxqkzcklcyvoszomrmibmojyqpycf
kydkqbwgrwexiofistuwtugphfihvmtnwtjifvkfxerdyrla
dlmdzwptapnsnjcnpkzrqzdglzelrcxhsxfyjpgjtuvxuvhq
igjiwnuoxukjgwlgyfsezsmbemneaxqubqotokdoqlasraeh
mafmsdyitygzkqhkuvwyvwirjhkjxovpyvlkhxmhzgtfatnc
fnofbyrvcrpupleprmbtsbfinbgntezjuzhalrilvwxzwxjs
kilkypwqzwmliyniahugbuodgopgczswdsqvqmfqsncutcgj
ochoufakvaibmsjmwxyaxyktljmlzqxraxnmjzojbivhcvpe
hpqhdatxetrwrngrtodvudhkpdipvgblwbjcntknxyzbyzlu
mknmarysbyonkapkcjwidwqfiqriebuyfusxsohsupewveil
qejqwhcmxckdouloyzaczamvnlonbsztczpolbqldkxjexrg
jrsjfcvzgvtytpitvqfxwfjmrfkrxidnydlepvmpzabdabnw
ompoctaudaqpmcrmelykfyshkstkgdwahwuzuqjuwrgyxgkn
sglsyjeozemfqwnqabcebcoxpnqpdubvebrqndsnfmzlgzti
ltulhexbixvavrkvxshzyhlothmtzkfpafngrxorbcdfcdpy
qorqevcwfcsroetognamhaujmuvmifycjywbwslwytiazimp
uinualgqbgohsypscdegdeqzrpsrfwdxgdtspfuphobnibvk
nvwnjgzdkzxcxtmxzujbajnqvjovbmhrchpitzqtdefhefra
sqtsgxeyheutqgvqipcojcwlowxokhaelaydyunyavkcbkor
wkpwcnisdiqjuaruefgifgsbtruthyfzifvurhwrjqdpkdxm
pxyplibfmbzezvozbwldclpsxlqxdojtejrkvbsvfghjghtc

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: truthy
Cipher: gehgul

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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: truthy
Cipher: 442454443245

Extended Methods:
Method #1

Plaintext: truthy
method variations:
ywzynddbedsiigkixoompoct

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
t r u t h y 
4 2 5 4 3 4 
4 4 4 4 2 5 
They are then read out in rows:
425434444425
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: truthy
Cipher: iusttw

Read more ...
Method #3

Plaintext: truthy
method variations:
iytoru ytorui toruiy
oruiyt ruiyto uiytor

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: truthy

all 720 cipher variations:
truthy trutyh truhty truhyt truyht truyth trtuhy trtuyh trthuy trthyu trtyhu
trtyuh trhtuy trhtyu trhuty trhuyt trhyut trhytu trythu trytuh tryhtu tryhut
tryuht tryuth turthy turtyh turhty turhyt turyht turyth tutrhy tutryh tuthry
tuthyr tutyhr tutyrh tuhtry tuhtyr tuhrty tuhryt tuhyrt tuhytr tuythr tuytrh
tuyhtr tuyhrt tuyrht tuyrth tturhy tturyh ttuhry ttuhyr ttuyhr ttuyrh ttruhy
ttruyh ttrhuy ttrhyu ttryhu ttryuh tthruy tthryu tthury tthuyr tthyur tthyru
ttyrhu ttyruh ttyhru ttyhur ttyuhr ttyurh thutry thutyr thurty thuryt thuyrt
thuytr thtury thtuyr thtruy thtryu thtyru thtyur thrtuy thrtyu thruty thruyt
thryut thrytu thytru thytur thyrtu thyrut thyurt thyutr tyuthr tyutrh tyuhtr
tyuhrt tyurht tyurth tytuhr tyturh tythur tythru tytrhu tytruh tyhtur tyhtru
tyhutr tyhurt tyhrut tyhrtu tyrthu tyrtuh tyrhtu tyrhut tyruht tyruth rtuthy
rtutyh rtuhty rtuhyt rtuyht rtuyth rttuhy rttuyh rtthuy rtthyu rttyhu rttyuh
rthtuy rthtyu rthuty rthuyt rthyut rthytu rtythu rtytuh rtyhtu rtyhut rtyuht
rtyuth rutthy ruttyh ruthty ruthyt rutyht rutyth rutthy ruttyh ruthty ruthyt
rutyht rutyth ruhtty ruhtyt ruhtty ruhtyt ruhytt ruhytt ruytht ruytth ruyhtt
ruyhtt ruytht ruytth rtuthy rtutyh rtuhty rtuhyt rtuyht rtuyth rttuhy rttuyh
rtthuy rtthyu rttyhu rttyuh rthtuy rthtyu rthuty rthuyt rthyut rthytu rtythu
rtytuh rtyhtu rtyhut rtyuht rtyuth rhutty rhutyt rhutty rhutyt rhuytt rhuytt
rhtuty rhtuyt rhttuy rhttyu rhtytu rhtyut rhttuy rhttyu rhtuty rhtuyt rhtyut
rhtytu rhyttu rhytut rhyttu rhytut rhyutt rhyutt ryutht ryutth ryuhtt ryuhtt
ryutht ryutth rytuht rytuth rythut rythtu rytthu ryttuh ryhtut ryhttu ryhutt
ryhutt ryhtut ryhttu rytthu ryttuh rythtu rythut rytuht rytuth urtthy urttyh
urthty urthyt urtyht urtyth urtthy urttyh urthty urthyt urtyht urtyth urhtty
urhtyt urhtty urhtyt urhytt urhytt urytht urytth uryhtt uryhtt urytht urytth
utrthy utrtyh utrhty utrhyt utryht utryth uttrhy uttryh utthry utthyr uttyhr
uttyrh uthtry uthtyr uthrty uthryt uthyrt uthytr utythr utytrh utyhtr utyhrt
utyrht utyrth uttrhy uttryh utthry utthyr uttyhr uttyrh utrthy utrtyh utrhty
utrhyt utryht utryth uthrty uthryt uthtry uthtyr uthytr uthyrt utyrht utyrth
utyhrt utyhtr utythr utytrh uhttry uhttyr uhtrty uhtryt uhtyrt uhtytr uhttry
uhttyr uhtrty uhtryt uhtyrt uhtytr uhrtty uhrtyt uhrtty uhrtyt uhrytt uhrytt
uhytrt uhyttr uhyrtt uhyrtt uhytrt uhyttr uytthr uyttrh uythtr uythrt uytrht
uytrth uytthr uyttrh uythtr uythrt uytrht uytrth uyhttr uyhtrt uyhttr uyhtrt
uyhrtt uyhrtt uyrtht uyrtth uyrhtt uyrhtt uyrtht uyrtth truthy trutyh truhty
truhyt truyht truyth trtuhy trtuyh trthuy trthyu trtyhu trtyuh trhtuy trhtyu
trhuty trhuyt trhyut trhytu trythu trytuh tryhtu tryhut tryuht tryuth turthy
turtyh turhty turhyt turyht turyth tutrhy tutryh tuthry tuthyr tutyhr tutyrh
tuhtry tuhtyr tuhrty tuhryt tuhyrt tuhytr tuythr tuytrh tuyhtr tuyhrt tuyrht
tuyrth tturhy tturyh ttuhry ttuhyr ttuyhr ttuyrh ttruhy ttruyh ttrhuy ttrhyu
ttryhu ttryuh tthruy tthryu tthury tthuyr tthyur tthyru ttyrhu ttyruh ttyhru
ttyhur ttyuhr ttyurh thutry thutyr thurty thuryt thuyrt thuytr thtury thtuyr
thtruy thtryu thtyru thtyur thrtuy thrtyu thruty thruyt thryut thrytu thytru
thytur thyrtu thyrut thyurt thyutr tyuthr tyutrh tyuhtr tyuhrt tyurht tyurth
tytuhr tyturh tythur tythru tytrhu tytruh tyhtur tyhtru tyhutr tyhurt tyhrut
tyhrtu tyrthu tyrtuh tyrhtu tyrhut tyruht tyruth hrutty hrutyt hrutty hrutyt
hruytt hruytt hrtuty hrtuyt hrttuy hrttyu hrtytu hrtyut hrttuy hrttyu hrtuty
hrtuyt hrtyut hrtytu hryttu hrytut hryttu hrytut hryutt hryutt hurtty hurtyt
hurtty hurtyt hurytt hurytt hutrty hutryt huttry huttyr hutytr hutyrt huttry
huttyr hutrty hutryt hutyrt hutytr huyttr huytrt huyttr huytrt huyrtt huyrtt
hturty hturyt htutry htutyr htuytr htuyrt htruty htruyt htrtuy htrtyu htrytu
htryut httruy httryu httury httuyr httyur httyru htyrtu htyrut htytru htytur
htyutr htyurt htutry htutyr hturty hturyt htuyrt htuytr httury httuyr httruy
httryu httyru httyur htrtuy htrtyu htruty htruyt htryut htrytu htytru htytur
htyrtu htyrut htyurt htyutr hyuttr hyutrt hyuttr hyutrt hyurtt hyurtt hytutr
hyturt hyttur hyttru hytrtu hytrut hyttur hyttru hytutr hyturt hytrut hytrtu
hyrttu hyrtut hyrttu hyrtut hyrutt hyrutt yrutht yrutth yruhtt yruhtt yrutht
yrutth yrtuht yrtuth yrthut yrthtu yrtthu yrttuh yrhtut yrhttu yrhutt yrhutt
yrhtut yrhttu yrtthu yrttuh yrthtu yrthut yrtuht yrtuth yurtht yurtth yurhtt
yurhtt yurtht yurtth yutrht yutrth yuthrt yuthtr yutthr yuttrh yuhtrt yuhttr
yuhrtt yuhrtt yuhtrt yuhttr yutthr yuttrh yuthtr yuthrt yutrht yutrth yturht
yturth ytuhrt ytuhtr ytuthr ytutrh ytruht ytruth ytrhut ytrhtu ytrthu ytrtuh
ythrut ythrtu ythurt ythutr ythtur ythtru yttrhu yttruh ytthru ytthur yttuhr
ytturh yhutrt yhuttr yhurtt yhurtt yhutrt yhuttr yhturt yhtutr yhtrut yhtrtu
yhttru yhttur yhrtut yhrttu yhrutt yhrutt yhrtut yhrttu yhttru yhttur yhtrtu
yhtrut yhturt yhtutr ytuthr ytutrh ytuhtr ytuhrt yturht yturth yttuhr ytturh
ytthur ytthru yttrhu yttruh ythtur ythtru ythutr ythurt ythrut ythrtu ytrthu
ytrtuh ytrhtu ytrhut ytruht ytruth

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