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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: mingus
cipher variations:
njohvt okpiwu plqjxv qmrkyw rnslzx
sotmay tpunbz uqvoca vrwpdb wsxqec
xtyrfd yuzsge zvathf awbuig bxcvjh
cydwki dzexlj eafymk fbgznl gchaom
hdibpn iejcqo jfkdrp kglesq lhmftr

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: mingus
Cipher: nrmtfh

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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: mingus
Cipher: ABABB ABAAA ABBAA AABBA BAABB BAAAB

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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: mingus
cipher variations:
njohvtlzotjdjpofxnhforlxfvodzhdlopnrzronplxhozdv
vxolrftnoxfprdojtzptovhjokpiwumapukekqpgyoigpsmy
gwpeaiempqosaspoqmyipaewwypmsguopygqsepkuaqupwik
plqjxvnbqvlflrqhzpjhqtnzhxqfbjfnqrptbtqprnzjqbfx
xzqnthvpqzhrtfqlvbrvqxjlqmrkywocrwmgmsriaqkiruoa
iyrgckgorsqucurqsoakrcgyyarouiwqraisugrmwcswrykm
rnslzxpdsxnhntsjbrljsvpbjzshdlhpstrvdvsrtpblsdhz
zbspvjxrsbjtvhsnxdtxszlnsotmayqetyoioutkcsmktwqc
katiemiqtuswewtsuqcmteiaactqwkystckuwitoyeuytamo
tpunbzrfuzpjpvuldtnluxrdlbujfnjruvtxfxutvrdnufjb
bdurxlztudlvxjupzfvzubnpuqvocasgvaqkqwvmeuomvyse
mcvkgoksvwuygyvuwseovgkccevsymauvemwykvqagwavcoq
vrwpdbthwbrlrxwnfvpnwztfndwlhpltwxvzhzwvxtfpwhld
dfwtznbvwfnxzlwrbhxbwdprwsxqecuixcsmsyxogwqoxaug
oexmiqmuxywaiaxwyugqximeegxuaocwxgoyamxsciycxeqs
xtyrfdvjydtntzyphxrpybvhpfynjrnvyzxbjbyxzvhryjnf
fhyvbpdxyhpzbnytdjzdyfrtyuzsgewkzeuouazqiysqzcwi
qgzoksowzayckczyawiszkoggizwcqeyziqacozuekaezgsu
zvathfxlafvpvbarjztradxjrhapltpxabzdldazbxjtalph
hjaxdrfzajrbdpavflbfahtvawbuigymbgwqwcbskausbeyk
sibqmuqybcaemebacykubmqiikbyesgabksceqbwgmcgbiuw
bxcvjhznchxrxdctlbvtcfzltjcrnvrzcdbfnfcbdzlvcnrj
jlczfthbcltdfrcxhndhcjvxcydwkiaodiysyedumcwudgam
ukdsowsadecgogdceamwdoskkmdaguicdmuegsdyioeidkwy
dzexljbpejztzfevndxvehbnvletpxtbefdhphedfbnxeptl
lnebhvjdenvfhtezjpfjelxzeafymkcqfkauagfwoeywfico
wmfuqyucfgeiqifegcoyfqummofciwkefowgiufakqgkfmya
fbgznldrglbvbhgxpfzxgjdpxngvrzvdghfjrjgfhdpzgrvn
npgdjxlfgpxhjvgblrhlgnzbgchaomeshmcwcihyqgayhkeq
yohwsawehigkskhgieqahswooqhekymghqyikwhcmsimhoac
hdibpnftindxdjizrhbzilfrzpixtbxfijhltlihjfrbitxp
priflznhirzjlxidntjnipbdiejcqogujoeyekjasicajmgs
aqjyucygjkimumjikgscjuyqqsjgmaoijsakmyjeoukojqce
jfkdrphvkpfzflkbtjdbknhtbrkzvdzhkljnvnkjlhtdkvzr
rtkhnbpjktblnzkfpvlpkrdfkglesqiwlqgagmlcukecloiu
cslaweailmkowolkmiuelwassuliocqklucmoalgqwmqlseg
lhmftrjxmrhbhnmdvlfdmpjvdtmbxfbjmnlpxpmlnjvfmxbt
tvmjpdrlmvdnpbmhrxnrmtfhminguskynsicionewmgenqkw
euncygcknomqyqnmokwgnycuuwnkqesmnweoqcnisyosnugi

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: mingus
Cipher: zvathf

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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: mingus
Cipher: 234233225434

Extended Methods:
Method #1

Plaintext: mingus
method variations:
rosmzxwtxrecbycwkhgdhbpn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
m i n g u s 
2 4 3 2 5 3 
3 2 3 2 4 4 
They are then read out in rows:
243253323244
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: mingus
Cipher: rhphht

Read more ...
Method #3

Plaintext: mingus
method variations:
smhwoi mhwois hwoism
woismh oismhw ismhwo

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: mingus

all 720 cipher variations:
mingus mingsu minugs minusg minsug minsgu mignus mignsu miguns migusn migsun
migsnu miugns miugsn miungs miunsg miusng miusgn misgun misgnu misugn misung
misnug misngu mnigus mnigsu mniugs mniusg mnisug mnisgu mngius mngisu mnguis
mngusi mngsui mngsiu mnugis mnugsi mnuigs mnuisg mnusig mnusgi mnsgui mnsgiu
mnsugi mnsuig mnsiug mnsigu mgnius mgnisu mgnuis mgnusi mgnsui mgnsiu mginus
mginsu mgiuns mgiusn mgisun mgisnu mguins mguisn mgunis mgunsi mgusni mgusin
mgsiun mgsinu mgsuin mgsuni mgsnui mgsniu mungis mungsi munigs munisg munsig
munsgi mugnis mugnsi mugins mugisn mugsin mugsni muigns muigsn muings muinsg
muisng muisgn musgin musgni musign musing musnig musngi msngui msngiu msnugi
msnuig msniug msnigu msgnui msgniu msguni msguin msgiun msginu msugni msugin
msungi msunig msuing msuign msigun msignu msiugn msiung msinug msingu imngus
imngsu imnugs imnusg imnsug imnsgu imgnus imgnsu imguns imgusn imgsun imgsnu
imugns imugsn imungs imunsg imusng imusgn imsgun imsgnu imsugn imsung imsnug
imsngu inmgus inmgsu inmugs inmusg inmsug inmsgu ingmus ingmsu ingums ingusm
ingsum ingsmu inugms inugsm inumgs inumsg inusmg inusgm insgum insgmu insugm
insumg insmug insmgu ignmus ignmsu ignums ignusm ignsum ignsmu igmnus igmnsu
igmuns igmusn igmsun igmsnu igumns igumsn igunms igunsm igusnm igusmn igsmun
igsmnu igsumn igsunm igsnum igsnmu iungms iungsm iunmgs iunmsg iunsmg iunsgm
iugnms iugnsm iugmns iugmsn iugsmn iugsnm iumgns iumgsn iumngs iumnsg iumsng
iumsgn iusgmn iusgnm iusmgn iusmng iusnmg iusngm isngum isngmu isnugm isnumg
isnmug isnmgu isgnum isgnmu isgunm isgumn isgmun isgmnu isugnm isugmn isungm
isunmg isumng isumgn ismgun ismgnu ismugn ismung ismnug ismngu nimgus nimgsu
nimugs nimusg nimsug nimsgu nigmus nigmsu nigums nigusm nigsum nigsmu niugms
niugsm niumgs niumsg niusmg niusgm nisgum nisgmu nisugm nisumg nismug nismgu
nmigus nmigsu nmiugs nmiusg nmisug nmisgu nmgius nmgisu nmguis nmgusi nmgsui
nmgsiu nmugis nmugsi nmuigs nmuisg nmusig nmusgi nmsgui nmsgiu nmsugi nmsuig
nmsiug nmsigu ngmius ngmisu ngmuis ngmusi ngmsui ngmsiu ngimus ngimsu ngiums
ngiusm ngisum ngismu nguims nguism ngumis ngumsi ngusmi ngusim ngsium ngsimu
ngsuim ngsumi ngsmui ngsmiu numgis numgsi numigs numisg numsig numsgi nugmis
nugmsi nugims nugism nugsim nugsmi nuigms nuigsm nuimgs nuimsg nuismg nuisgm
nusgim nusgmi nusigm nusimg nusmig nusmgi nsmgui nsmgiu nsmugi nsmuig nsmiug
nsmigu nsgmui nsgmiu nsgumi nsguim nsgium nsgimu nsugmi nsugim nsumgi nsumig
nsuimg nsuigm nsigum nsigmu nsiugm nsiumg nsimug nsimgu ginmus ginmsu ginums
ginusm ginsum ginsmu gimnus gimnsu gimuns gimusn gimsun gimsnu giumns giumsn
giunms giunsm giusnm giusmn gismun gismnu gisumn gisunm gisnum gisnmu gnimus
gnimsu gniums gniusm gnisum gnismu gnmius gnmisu gnmuis gnmusi gnmsui gnmsiu
gnumis gnumsi gnuims gnuism gnusim gnusmi gnsmui gnsmiu gnsumi gnsuim gnsium
gnsimu gmnius gmnisu gmnuis gmnusi gmnsui gmnsiu gminus gminsu gmiuns gmiusn
gmisun gmisnu gmuins gmuisn gmunis gmunsi gmusni gmusin gmsiun gmsinu gmsuin
gmsuni gmsnui gmsniu gunmis gunmsi gunims gunism gunsim gunsmi gumnis gumnsi
gumins gumisn gumsin gumsni guimns guimsn guinms guinsm guisnm guismn gusmin
gusmni gusimn gusinm gusnim gusnmi gsnmui gsnmiu gsnumi gsnuim gsnium gsnimu
gsmnui gsmniu gsmuni gsmuin gsmiun gsminu gsumni gsumin gsunmi gsunim gsuinm
gsuimn gsimun gsimnu gsiumn gsiunm gsinum gsinmu uingms uingsm uinmgs uinmsg
uinsmg uinsgm uignms uignsm uigmns uigmsn uigsmn uigsnm uimgns uimgsn uimngs
uimnsg uimsng uimsgn uisgmn uisgnm uismgn uismng uisnmg uisngm unigms unigsm
unimgs unimsg unismg unisgm ungims ungism ungmis ungmsi ungsmi ungsim unmgis
unmgsi unmigs unmisg unmsig unmsgi unsgmi unsgim unsmgi unsmig unsimg unsigm
ugnims ugnism ugnmis ugnmsi ugnsmi ugnsim uginms uginsm ugimns ugimsn ugismn
ugisnm ugmins ugmisn ugmnis ugmnsi ugmsni ugmsin ugsimn ugsinm ugsmin ugsmni
ugsnmi ugsnim umngis umngsi umnigs umnisg umnsig umnsgi umgnis umgnsi umgins
umgisn umgsin umgsni umigns umigsn umings uminsg umisng umisgn umsgin umsgni
umsign umsing umsnig umsngi usngmi usngim usnmgi usnmig usnimg usnigm usgnmi
usgnim usgmni usgmin usgimn usginm usmgni usmgin usmngi usmnig usming usmign
usigmn usignm usimgn usimng usinmg usingm singum singmu sinugm sinumg sinmug
sinmgu signum signmu sigunm sigumn sigmun sigmnu siugnm siugmn siungm siunmg
siumng siumgn simgun simgnu simugn simung simnug simngu snigum snigmu sniugm
sniumg snimug snimgu sngium sngimu snguim sngumi sngmui sngmiu snugim snugmi
snuigm snuimg snumig snumgi snmgui snmgiu snmugi snmuig snmiug snmigu sgnium
sgnimu sgnuim sgnumi sgnmui sgnmiu sginum sginmu sgiunm sgiumn sgimun sgimnu
sguinm sguimn sgunim sgunmi sgumni sgumin sgmiun sgminu sgmuin sgmuni sgmnui
sgmniu sungim sungmi sunigm sunimg sunmig sunmgi sugnim sugnmi suginm sugimn
sugmin sugmni suignm suigmn suingm suinmg suimng suimgn sumgin sumgni sumign
suming sumnig sumngi smngui smngiu smnugi smnuig smniug smnigu smgnui smgniu
smguni smguin smgiun smginu smugni smugin smungi smunig smuing smuign smigun
smignu smiugn smiung sminug smingu

Read more ...[1] , [2] , [3]

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