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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: wazuka
cipher variations:
xbavlb ycbwmc zdcxnd aedyoe bfezpf
cgfaqg dhgbrh eihcsi fjidtj gkjeuk
hlkfvl imlgwm jnmhxn koniyo lpojzp
mqpkaq nrqlbr osrmcs ptsndt qutoeu
rvupfv swvqgw txwrhx uyxsiy vzytjz

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: wazuka
Cipher: dzafpz

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: wazuka
Cipher: BABAA AAAAA BABBB BAABB ABAAB 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: wazuka
cipher variations:
xbavlbpbyjfbhbwxzbzbultbrbsznbjbqnhbtbmpvblbkdpb
dbirjbvbgfdbnbetxbfbchrbycbwmcqczkgcicxyacacvmuc
sctaockcroicucnqwcmcleqcecjskcwchgecocfuycgcdisc
zdcxndrdalhdjdyzbdbdwnvdtdubpdldspjdvdorxdndmfrd
fdktldxdihfdpdgvzdhdejtdaedyoesebmiekezacecexowe
uevcqemetqkewepsyeoengsegelumeyejigeqehwaeiefkue
bfezpftfcnjflfabdfdfypxfvfwdrfnfurlfxfqtzfpfohtf
hfmvnfzfkjhfrfixbfjfglvfcgfaqgugdokgmgbcegegzqyg
wgxesgogvsmgygruagqgpiugignwogaglkigsgjycgkghmwg
dhgbrhvheplhnhcdfhfharzhxhyfthphwtnhzhsvbhrhqjvh
jhoxphbhmljhthkzdhlhinxheihcsiwifqmioidegigibsai
yizguiqixuoiaitwcisirkwikipyqicinmkiuilaeimijoyi
fjidtjxjgrnjpjefhjhjctbjzjahvjrjyvpjbjuxdjtjslxj
ljqzrjdjonljvjmbfjnjkpzjgkjeukykhsokqkfgikikduck
akbiwkskzwqkckvyekuktmykmkraskekpomkwkncgkoklqak
hlkfvlzlitplrlghjljlevdlblcjxltlaxrldlwzflvlunzl
nlsbtlflqpnlxlodhlplmrblimlgwmamjuqmsmhikmkmfwem
cmdkymumbysmemxagmwmvoamomtcumgmrqomympeimqmnscm
jnmhxnbnkvrntnijlnlngxfndnelznvncztnfnybhnxnwpbn
pnudvnhnsrpnznqfjnrnotdnkoniyocolwsouojkmomohygo
eofmaowodauogozcioyoxqcoqovewoiotsqoaorgkosopueo
lpojzpdpmxtpvpklnpnpizhpfpgnbpxpebvphpadjpzpyrdp
rpwfxpjputrpbpshlptpqvfpmqpkaqeqnyuqwqlmoqoqjaiq
gqhocqyqfcwqiqbekqaqzseqsqxgyqkqvusqcqtimquqrwgq
nrqlbrfrozvrxrmnprprkbjrhripdrzrgdxrjrcflrbratfr
tryhzrlrwvtrdrujnrvrsxhrosrmcsgspawsysnoqsqslcks
isjqesasheysksdgmscsbugsusziasmsxwusesvkoswstyis
ptsndthtqbxtztoprtrtmdltjtkrftbtifztltehntdtcvht
vtajbtntyxvtftwlptxtuzjtqutoeuiurcyuaupqsusunemu
kulsgucujgaumufioueudwiuwubkcuouzywuguxmquyuvaku
rvupfvjvsdzvbvqrtvtvofnvlvmthvdvkhbvnvgjpvfvexjv
xvcldvpvazxvhvynrvzvwblvswvqgwkwteawcwrsuwuwpgow
mwnuiwewlicwowhkqwgwfykwywdmewqwbaywiwzoswawxcmw
txwrhxlxufbxdxstvxvxqhpxnxovjxfxmjdxpxilrxhxgzlx
zxenfxrxcbzxjxaptxbxydnxuyxsiymyvgcyeytuwywyriqy
oypwkygynkeyqyjmsyiyhamyayfogysydcaykybquycyzeoy
vzytjznzwhdzfzuvxzxzsjrzpzqxlzhzolfzrzkntzjzibnz
bzgphztzedbzlzcrvzdzafpzwazukaoaxieagavwyayatksa
qarymaiapmgasalouakajcoacahqiauafecamadswaeabgqa

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: wazuka
Cipher: jnmhxn

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: wazuka
Cipher: 251155545211

Extended Methods:
Method #1

Plaintext: wazuka
method variations:
bfezpfglkeulmqpkzqrvupev

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
w a z u k a 
2 1 5 5 5 1 
5 1 5 4 2 1 
They are then read out in rows:
215551515421
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: wazuka
Cipher: bzeeub

Read more ...
Method #3

Plaintext: wazuka
method variations:
evzybf vzybfe zybfev
ybfevz bfevzy fevzyb

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: wazuka

all 720 cipher variations:
wazuka wazuak wazkua wazkau wazaku wazauk wauzka wauzak waukza waukaz wauakz
wauazk wakuza wakuaz wakzua wakzau wakazu wakauz waaukz waauzk waakuz waakzu
waazku waazuk wzauka wzauak wzakua wzakau wzaaku wzaauk wzuaka wzuaak wzukaa
wzukaa wzuaka wzuaak wzkuaa wzkuaa wzkaua wzkaau wzkaau wzkaua wzauka wzauak
wzakua wzakau wzaaku wzaauk wuzaka wuzaak wuzkaa wuzkaa wuzaka wuzaak wuazka
wuazak wuakza wuakaz wuaakz wuaazk wukaza wukaaz wukzaa wukzaa wukaza wukaaz
wuaakz wuaazk wuakaz wuakza wuazka wuazak wkzuaa wkzuaa wkzaua wkzaau wkzaau
wkzaua wkuzaa wkuzaa wkuaza wkuaaz wkuaaz wkuaza wkauza wkauaz wkazua wkazau
wkaazu wkaauz wkauaz wkauza wkaauz wkaazu wkazau wkazua wazuka wazuak wazkua
wazkau wazaku wazauk wauzka wauzak waukza waukaz wauakz wauazk wakuza wakuaz
wakzua wakzau wakazu wakauz waaukz waauzk waakuz waakzu waazku waazuk awzuka
awzuak awzkua awzkau awzaku awzauk awuzka awuzak awukza awukaz awuakz awuazk
awkuza awkuaz awkzua awkzau awkazu awkauz awaukz awauzk awakuz awakzu awazku
awazuk azwuka azwuak azwkua azwkau azwaku azwauk azuwka azuwak azukwa azukaw
azuakw azuawk azkuwa azkuaw azkwua azkwau azkawu azkauw azaukw azauwk azakuw
azakwu azawku azawuk auzwka auzwak auzkwa auzkaw auzakw auzawk auwzka auwzak
auwkza auwkaz auwakz auwazk aukwza aukwaz aukzwa aukzaw aukazw aukawz auawkz
auawzk auakwz auakzw auazkw auazwk akzuwa akzuaw akzwua akzwau akzawu akzauw
akuzwa akuzaw akuwza akuwaz akuawz akuazw akwuza akwuaz akwzua akwzau akwazu
akwauz akauwz akauzw akawuz akawzu akazwu akazuw aazukw aazuwk aazkuw aazkwu
aazwku aazwuk aauzkw aauzwk aaukzw aaukwz aauwkz aauwzk aakuzw aakuwz aakzuw
aakzwu aakwzu aakwuz aawukz aawuzk aawkuz aawkzu aawzku aawzuk zawuka zawuak
zawkua zawkau zawaku zawauk zauwka zauwak zaukwa zaukaw zauakw zauawk zakuwa
zakuaw zakwua zakwau zakawu zakauw zaaukw zaauwk zaakuw zaakwu zaawku zaawuk
zwauka zwauak zwakua zwakau zwaaku zwaauk zwuaka zwuaak zwukaa zwukaa zwuaka
zwuaak zwkuaa zwkuaa zwkaua zwkaau zwkaau zwkaua zwauka zwauak zwakua zwakau
zwaaku zwaauk zuwaka zuwaak zuwkaa zuwkaa zuwaka zuwaak zuawka zuawak zuakwa
zuakaw zuaakw zuaawk zukawa zukaaw zukwaa zukwaa zukawa zukaaw zuaakw zuaawk
zuakaw zuakwa zuawka zuawak zkwuaa zkwuaa zkwaua zkwaau zkwaau zkwaua zkuwaa
zkuwaa zkuawa zkuaaw zkuaaw zkuawa zkauwa zkauaw zkawua zkawau zkaawu zkaauw
zkauaw zkauwa zkaauw zkaawu zkawau zkawua zawuka zawuak zawkua zawkau zawaku
zawauk zauwka zauwak zaukwa zaukaw zauakw zauawk zakuwa zakuaw zakwua zakwau
zakawu zakauw zaaukw zaauwk zaakuw zaakwu zaawku zaawuk uazwka uazwak uazkwa
uazkaw uazakw uazawk uawzka uawzak uawkza uawkaz uawakz uawazk uakwza uakwaz
uakzwa uakzaw uakazw uakawz uaawkz uaawzk uaakwz uaakzw uaazkw uaazwk uzawka
uzawak uzakwa uzakaw uzaakw uzaawk uzwaka uzwaak uzwkaa uzwkaa uzwaka uzwaak
uzkwaa uzkwaa uzkawa uzkaaw uzkaaw uzkawa uzawka uzawak uzakwa uzakaw uzaakw
uzaawk uwzaka uwzaak uwzkaa uwzkaa uwzaka uwzaak uwazka uwazak uwakza uwakaz
uwaakz uwaazk uwkaza uwkaaz uwkzaa uwkzaa uwkaza uwkaaz uwaakz uwaazk uwakaz
uwakza uwazka uwazak ukzwaa ukzwaa ukzawa ukzaaw ukzaaw ukzawa ukwzaa ukwzaa
ukwaza ukwaaz ukwaaz ukwaza ukawza ukawaz ukazwa ukazaw ukaazw ukaawz ukawaz
ukawza ukaawz ukaazw ukazaw ukazwa uazwka uazwak uazkwa uazkaw uazakw uazawk
uawzka uawzak uawkza uawkaz uawakz uawazk uakwza uakwaz uakzwa uakzaw uakazw
uakawz uaawkz uaawzk uaakwz uaakzw uaazkw uaazwk kazuwa kazuaw kazwua kazwau
kazawu kazauw kauzwa kauzaw kauwza kauwaz kauawz kauazw kawuza kawuaz kawzua
kawzau kawazu kawauz kaauwz kaauzw kaawuz kaawzu kaazwu kaazuw kzauwa kzauaw
kzawua kzawau kzaawu kzaauw kzuawa kzuaaw kzuwaa kzuwaa kzuawa kzuaaw kzwuaa
kzwuaa kzwaua kzwaau kzwaau kzwaua kzauwa kzauaw kzawua kzawau kzaawu kzaauw
kuzawa kuzaaw kuzwaa kuzwaa kuzawa kuzaaw kuazwa kuazaw kuawza kuawaz kuaawz
kuaazw kuwaza kuwaaz kuwzaa kuwzaa kuwaza kuwaaz kuaawz kuaazw kuawaz kuawza
kuazwa kuazaw kwzuaa kwzuaa kwzaua kwzaau kwzaau kwzaua kwuzaa kwuzaa kwuaza
kwuaaz kwuaaz kwuaza kwauza kwauaz kwazua kwazau kwaazu kwaauz kwauaz kwauza
kwaauz kwaazu kwazau kwazua kazuwa kazuaw kazwua kazwau kazawu kazauw kauzwa
kauzaw kauwza kauwaz kauawz kauazw kawuza kawuaz kawzua kawzau kawazu kawauz
kaauwz kaauzw kaawuz kaawzu kaazwu kaazuw aazukw aazuwk aazkuw aazkwu aazwku
aazwuk aauzkw aauzwk aaukzw aaukwz aauwkz aauwzk aakuzw aakuwz aakzuw aakzwu
aakwzu aakwuz aawukz aawuzk aawkuz aawkzu aawzku aawzuk azaukw azauwk azakuw
azakwu azawku azawuk azuakw azuawk azukaw azukwa azuwka azuwak azkuaw azkuwa
azkauw azkawu azkwau azkwua azwuka azwuak azwkua azwkau azwaku azwauk auzakw
auzawk auzkaw auzkwa auzwka auzwak auazkw auazwk auakzw auakwz auawkz auawzk
aukazw aukawz aukzaw aukzwa aukwza aukwaz auwakz auwazk auwkaz auwkza auwzka
auwzak akzuaw akzuwa akzauw akzawu akzwau akzwua akuzaw akuzwa akuazw akuawz
akuwaz akuwza akauzw akauwz akazuw akazwu akawzu akawuz akwuaz akwuza akwauz
akwazu akwzau akwzua awzuka awzuak awzkua awzkau awzaku awzauk awuzka awuzak
awukza awukaz awuakz awuazk awkuza awkuaz awkzua awkzau awkazu awkauz awaukz
awauzk awakuz awakzu awazku awazuk

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

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