easy ciphers

Easy Ciphers Tools:
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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: operoseness
cipher variations:
pqfsptfoftt qrgtqugpguu rshurvhqhvv stivswiriww tujwtxjsjxx
uvkxuyktkyy vwlyvzlulzz wxmzwamvmaa xynaxbnwnbb yzobycoxocc
zapczdpypdd abqdaeqzqee bcrebfrarff cdsfcgsbsgg detgdhtcthh
efuheiuduii fgvifjvevjj ghwjgkwfwkk hixkhlxgxll ijylimyhymm
jkzmjnziznn klankoajaoo lmbolpbkbpp mncpmqclcqq nodqnrdmdrr

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: operoseness
Cipher: lkvilhvmvhh

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: operoseness
Cipher: ABBAB ABBBA AABAA BAAAA ABBAB BAAAB AABAA ABBAA AABAA BAAAB 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: operoseness
cipher variations:
pqfsptfofttrunardnonddtyvitnvovnnvcdqvxdodxxxglyxhlolhhzktgzrtotrrdsjwdljojllfwrefvrorvv
hazmhfzozffjehujphohpplipclzpopzznmxknjxoxjjqrgtqugpguusvobseopoeeuzwjuowpwoowderwyepeyy
yhmzyimpmiialuhasupussetkxemkpkmmgxsfgwspswwibanigapaggkfivkqipiqqmjqdmaqpqaaonylokypykk
rshurvhqhvvtwpctfpqpffvaxkvpxqxppxefsxzfqfzzzinazjnqnjjbmvibtvqvttfulyfnlqlnnhytghxtqtxx
jcbojhbqbhhlgjwlrjqjrrnkrenbrqrbbpozmplzqzllstivswiriwwuxqdugqrqggwbylwqyryqqyfgtyagrgaa
ajobakorokkcnwjcuwrwuugvmzgomrmooizuhiyuruyykdcpkicrciimhkxmskrkssolsfocsrsccqpanqmaramm
tujwtxjsjxxvyrevhrsrhhxczmxrzszrrzghuzbhshbbbkpcblpsplldoxkdvxsxvvhwnahpnsnppjavijzvsvzz
ledqljdsdjjnilyntlslttpmtgpdtstddrqbornbsbnnuvkxuyktkyywzsfwistsiiydanysatassahivaciticc
clqdcmqtqmmepylewytywwixobiqotoqqkbwjkawtwaamfermketekkojmzoumtmuuqnuhqeutueesrcpsoctcoo
vwlyvzlulzzxatgxjtutjjzeboztbubttbijwbdjujdddmrednrurnnfqzmfxzuzxxjypcjrpuprrlcxklbxuxbb
ngfsnlfufllpknapvnunvvrovirfvuvfftsdqtpdudppwxmzwamvmaaybuhykuvukkafcpaucvcuucjkxcekvkee
ensfeosvsoograngyavayykzqdksqvqssmdylmcyvyccohgtomgvgmmqlobqwovowwspwjsgwvwgguteruqeveqq
xynaxbnwnbbzcvizlvwvllbgdqbvdwdvvdklydflwlfffotgfptwtpphsbohzbwbzzlareltrwrttnezmndzwzdd
pihupnhwhnnrmpcrxpwpxxtqxkthxwxhhvufsvrfwfrryzobycoxoccadwjamwxwmmchercwexewwelmzegmxmgg
gpuhgquxuqqitcpiacxcaambsfmusxsuuofanoeaxaeeqjivqoixioosnqdsyqxqyyuryluiyxyiiwvgtwsgxgss
zapczdpypddbexkbnxyxnndifsdxfyfxxfmnafhnynhhhqvihrvyvrrjudqjbdydbbnctgnvtytvvpgbopfbybff
rkjwrpjyjpptoretzryrzzvszmvjzyzjjxwhuxthyhttabqdaeqzqeecfylcoyzyooejgteygzgyygnobgiozoii
irwjiswzwsskverkcezeccoduhowuzuwwqhcpqgczcggslkxsqkzkqqupsfuaszsaawtanwkazakkyxivyuiziuu
bcrebfrarffdgzmdpzazppfkhufzhahzzhopchjpapjjjsxkjtxaxttlwfsldfafddpevipxvavxxridqrhdadhh
tmlytrlalrrvqtgvbtatbbxuboxlbabllzyjwzvjajvvcdsfcgsbsggehaneqabaqqglivgaibiaaipqdikqbqkk
ktylkuybyuumxgtmegbgeeqfwjqywbwyysjersiebeiiunmzusmbmsswruhwcubuccyvcpymcbcmmazkxawkbkww
detgdhtcthhfibofrbcbrrhmjwhbjcjbbjqrejlrcrllluzmlvzczvvnyhunfhchffrgxkrzxcxzztkfstjfcfjj
vonavtncnttxsvixdvcvddzwdqzndcdnnbalybxlclxxefuheiuduiigjcpgscdcssinkxickdkcckrsfkmsdsmm
mvanmwadawwozivogidiggshylsaydyaaulgtukgdgkkwpobwuodouuytwjyewdweeaxeraoedeoocbmzcymdmyy
fgvifjvevjjhkdqhtdedttjolyjdlelddlstglntetnnnwbonxbebxxpajwphjejhhtizmtbzezbbvmhuvlhehll
xqpcxvpepvvzuxkzfxexffbyfsbpfefppdcnadznenzzghwjgkwfwkkileriuefeuukpmzkemfmeemtuhmoufuoo
oxcpoycfcyyqbkxqikfkiiujanucafaccwnivwmifimmyrqdywqfqwwavylagyfyggczgtcqgfgqqedobeaofoaa
hixkhlxgxlljmfsjvfgfvvlqnalfngnffnuvinpvgvpppydqpzdgdzzrclyrjlgljjvkbovdbgbddxojwxnjgjnn
zsrezxrgrxxbwzmbhzgzhhdahudrhghrrfepcfbpgpbbijylimyhymmkngtkwghgwwmrobmgohoggovwjoqwhwqq
qzerqaeheaasdmzskmhmkkwlcpwechceeypkxyokhkooatsfayshsyycxanciahaiiebivesihissgfqdgcqhqcc
jkzmjnziznnlohulxhihxxnspcnhpiphhpwxkprxixrrrafsrbfifbbtenatlninllxmdqxfdidffzqlyzplilpp
butgbztitzzdybodjbibjjfcjwftjijtthgrehdrirddklankoajaoompivmyijiyyotqdoiqjqiiqxylqsyjyss
sbgtscgjgccufobumojommynerygejeggarmzaqmjmqqcvuhcaujuaaezcpekcjckkgdkxgukjkuuihsfiesjsee
lmbolpbkbppnqjwnzjkjzzpurepjrkrjjryzmrtzkztttchutdhkhddvgpcvnpkpnnzofszhfkfhhbsnabrnknrr
dwvidbvkvbbfadqfldkdllhelyhvlklvvjitgjftktffmncpmqclcqqorkxoaklkaaqvsfqkslskkszansualauu
udivueilieewhqdwoqlqooapgtaiglgiictobcsolossexwjecwlwccgbergmelemmifmziwmlmwwkjuhkgulugg
nodqnrdmdrrpslypblmlbbrwtgrltmtlltabotvbmbvvvejwvfjmjffxirexprmrppbqhubjhmhjjdupcdtpmptt
fyxkfdxmxddhcfshnfmfnnjgnajxnmnxxlkvilhvmvhhoperosenessqtmzqcmnmccsxuhsmunummubcpuwcncww
wfkxwgknkggyjsfyqsnsqqcrivckinikkevqdeuqnquugzylgeynyeeidgtiogngookhobkyonoyymlwjmiwnwii

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: operoseness
Cipher: bcrebfrarff

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: operoseness
Cipher: 4353512443345133513434

Extended Methods:
Method #1

Plaintext: operoseness
method variations:
tukwtxkskxxyzpbycpxpccdeugdhucuhhikzminzhznn

Method #2
Bifid cipher
The message is converted to its coordinates in the usual manner, but they are written vertically beneath:
o p e r o s e n e s s 
4 5 5 2 4 3 5 3 5 3 3 
3 3 1 4 3 4 1 3 1 4 4 
They are then read out in rows:
4552435353333143413144
Then divided up into pairs again, and the pairs turned back into letters using the square:
Plain: operoseness
Cipher: ykoppncodct

Read more ...
Method #3

Plaintext: operoseness
method variations:
xxftnylxlot xftnylxlotx ftnylxlotxx
tnylxlotxxf nylxlotxxft ylxlotxxftn
lxlotxxftny xlotxxftnyl lotxxftnylx
otxxftnylxl txxftnylxlo

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: operoseness

first 5040 cipher variations(39615626 total)
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opersessneo opersessnoe opersessone opersessoen opersesoesn opersesoens opersesosen opersesosne opersesonse opersesones
opersneoess opersneoess opersneoses opersneosse opersneosse opersneoses opersneeoss opersneeoss opersneesos opersneesso
opersneesso opersneesos opersneseos opersneseso opersnesoes opersnesose opersnessoe opersnesseo opersneseso opersneseos
opersnesseo opersnessoe opersnesose opersnesoes opersnoeess opersnoeess opersnoeses opersnoesse opersnoesse opersnoeses
opersnoeess opersnoeess opersnoeses opersnoesse opersnoesse opersnoeses opersnosees opersnosese opersnosees opersnosese
opersnossee opersnossee opersnosese opersnosees opersnossee opersnossee opersnosese opersnosees opersneoess opersneoess
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opersneseos opersneseso opersnesoes opersnesose opersnessoe opersnesseo opersneseso opersneseos opersnesseo opersnessoe
opersnesose opersnesoes opersnsoees opersnsoese opersnsoees opersnsoese opersnsosee opersnsosee opersnseoes opersnseose
opersnseeos opersnseeso opersnseseo opersnsesoe opersnseeos opersnseeso opersnseoes opersnseose opersnsesoe opersnseseo
opersnsseeo opersnsseoe opersnsseeo opersnsseoe opersnssoee opersnssoee opersnsoese opersnsoees opersnsosee opersnsosee
opersnsoese opersnsoees opersnseose opersnseoes opersnsesoe opersnseseo opersnseeso opersnseeos opersnsseoe opersnsseeo
opersnssoee opersnssoee opersnsseoe opersnsseeo opersnseeso opersnseeos opersnseseo opersnsesoe opersnseose opersnseoes
operseenoss operseenoss operseensos operseensso operseensso operseensos operseeonss operseeonss operseeosns operseeossn
operseeossn operseeosns operseesons operseesosn operseesnos operseesnso operseessno operseesson operseesosn operseesons
operseesson operseessno operseesnso operseesnos operseneoss operseneoss opersenesos opersenesso opersenesso opersenesos
opersenoess opersenoess opersenoses opersenosse opersenosse opersenoses opersensoes opersensose opersenseos opersenseso
opersensseo opersenssoe opersensose opersensoes opersenssoe opersensseo opersenseso opersenseos operseoness operseoness
operseonses operseonsse operseonsse operseonses operseoenss operseoenss operseoesns operseoessn operseoessn operseoesns
operseosens operseosesn operseosnes operseosnse operseossne operseossen operseosesn operseosens operseossen operseossne
operseosnse operseosnes opersesnoes opersesnose opersesneos opersesneso opersesnseo opersesnsoe opersesones opersesonse
opersesoens opersesoesn opersesosen opersesosne operseseons operseseosn opersesenos opersesenso opersesesno operseseson
opersessoen opersessone opersesseon opersesseno opersessneo opersessnoe opersesnose opersesnoes opersesnsoe opersesnseo
opersesneso opersesneos opersesonse opersesones opersesosne opersesosen opersesoesn opersesoens opersessone opersessoen
opersessnoe opersessneo opersesseno opersesseon operseseosn operseseons operseseson opersesesno opersesenso opersesenos
opersseneos opersseneso operssenoes operssenose operssensoe operssenseo opersseenos opersseenso opersseeons opersseeosn
opersseeson opersseesno opersseoens opersseoesn opersseones opersseonse opersseosne opersseosen opersseseon opersseseno
operssesoen operssesone operssesnoe operssesneo operssneeos operssneeso operssneoes operssneose operssnesoe operssneseo
operssneeos operssneeso operssneoes operssneose operssnesoe operssneseo operssnoees operssnoese operssnoees operssnoese
operssnosee operssnosee operssnseoe operssnseeo operssnsoee operssnsoee operssnseoe operssnseeo opersseneos opersseneso
operssenoes operssenose operssensoe operssenseo opersseenos opersseenso opersseeons opersseeosn opersseeson opersseesno
opersseoens opersseoesn opersseones opersseonse opersseosne opersseosen opersseseon opersseseno operssesoen operssesone
operssesnoe operssesneo operssonees operssonese operssonees operssonese operssonsee operssonsee operssoenes operssoense
operssoeens operssoeesn operssoesen operssoesne operssoeens operssoeesn operssoenes operssoense operssoesne operssoesen
operssoseen operssosene operssoseen operssosene operssosnee operssosnee opersssneoe opersssneeo opersssnoee opersssnoee
opersssneoe opersssneeo opersssenoe operssseneo operssseone operssseoen operssseeon operssseeno opersssoene opersssoeen
opersssonee opersssonee opersssoene opersssoeen operssseeon operssseeno operssseoen operssseone opersssenoe operssseneo
opersseneso opersseneos operssenseo operssensoe operssenose operssenoes opersseenso opersseenos opersseesno opersseeson
opersseeosn opersseeons opersseseno opersseseon operssesneo operssesnoe operssesone operssesoen opersseoesn opersseoens
opersseosen opersseosne opersseonse opersseones operssneeso operssneeos operssneseo operssnesoe operssneose operssneoes
operssneeso operssneeos operssneseo operssnesoe operssneose operssneoes operssnseeo operssnseoe operssnseeo operssnseoe
operssnsoee operssnsoee operssnoese operssnoees operssnosee operssnosee operssnoese operssnoees opersseneso opersseneos
operssenseo operssensoe operssenose operssenoes opersseenso opersseenos opersseesno opersseeson opersseeosn opersseeons
opersseseno opersseseon operssesneo operssesnoe operssesone operssesoen opersseoesn opersseoens opersseosen opersseosne
opersseonse opersseones opersssneeo opersssneoe opersssneeo opersssneoe opersssnoee opersssnoee operssseneo opersssenoe
operssseeno operssseeon operssseoen operssseone operssseeno operssseeon operssseneo opersssenoe operssseone operssseoen
opersssoeen opersssoene opersssoeen opersssoene opersssonee opersssonee operssonese operssonees operssonsee operssonsee
operssonese operssonees operssoense operssoenes operssoesne operssoesen operssoeesn operssoeens operssosene operssoseen
operssosnee operssosnee operssosene operssoseen operssoeesn operssoeens operssoesen operssoesne operssoense operssoenes
operesoness operesoness operesonses operesonsse operesonsse operesonses operesoenss operesoenss operesoesns operesoessn
operesoessn operesoesns operesosens operesosesn operesosnes operesosnse operesossne operesossen operesosesn operesosens
operesossen operesossne operesosnse operesosnes operesnoess operesnoess operesnoses operesnosse operesnosse operesnoses
operesneoss operesneoss operesnesos operesnesso operesnesso operesnesos operesnseos operesnseso operesnsoes operesnsose
operesnssoe operesnsseo operesnseso operesnseos operesnsseo operesnssoe operesnsose operesnsoes operesenoss operesenoss
operesensos operesensso operesensso operesensos opereseonss opereseonss opereseosns opereseossn opereseossn opereseosns
operesesons operesesosn operesesnos operesesnso operesessno operesesson operesesosn operesesons operesesson operesessno
operesesnso operesesnos operessneos operessneso operessnoes operessnose operessnsoe operessnseo operessenos operessenso
operesseons operesseosn operesseson operessesno operessoens operessoesn operessones operessonse operessosne operessosen
operessseon operessseno operesssoen operesssone operesssnoe operesssneo operessneso operessneos operessnseo operessnsoe
operessnose operessnoes operessenso operessenos operessesno operesseson operesseosn operesseons operessseno operessseon
operesssneo operesssnoe operesssone operesssoen operessoesn operessoens operessosen operessosne operessonse operessones
opereosness opereosness opereosnses opereosnsse opereosnsse opereosnses opereosenss opereosenss opereosesns opereosessn
opereosessn opereosesns opereossens opereossesn opereossnes opereossnse opereosssne opereosssen opereossesn opereossens
opereosssen opereosssne opereossnse opereossnes opereonsess opereonsess opereonsses opereonssse opereonssse opereonsses
opereonesss opereonesss opereonesss opereonesss opereonesss opereonesss opereonsess opereonsess opereonsses opereonssse
opereonssse opereonsses opereonsess opereonsess opereonsses opereonssse opereonssse opereonsses opereoensss opereoensss
opereoensss opereoensss opereoensss opereoensss opereoesnss opereoesnss opereoessns opereoesssn opereoesssn opereoessns
opereoessns opereoesssn opereoesnss opereoesnss opereoessns opereoesssn opereoesssn opereoessns opereoesssn opereoessns
opereoesnss opereoesnss opereosness opereosness opereosnses opereosnsse opereosnsse opereosnses opereosenss opereosenss
opereosesns opereosessn opereosessn opereosesns opereossens opereossesn opereossnes opereossnse opereosssne opereosssen
opereossesn opereossens opereosssen opereosssne opereossnse opereossnes opereosness opereosness opereosnses opereosnsse
opereosnsse opereosnses opereosenss opereosenss opereosesns opereosessn opereosessn opereosesns opereossens opereossesn
opereossnes opereossnse opereosssne opereosssen opereossesn opereossens opereosssen opereosssne opereossnse opereossnes
operenosess operenosess operenosses operenossse operenossse operenosses operenoesss operenoesss operenoesss operenoesss
operenoesss operenoesss operenosess operenosess operenosses operenossse operenossse operenosses operenosess operenosess
operenosses operenossse operenossse operenosses operensoess operensoess operensoses operensosse operensosse operensoses
operenseoss operenseoss operensesos operensesso operensesso operensesos operensseos operensseso operenssoes operenssose
operensssoe operenssseo operensseso operensseos operenssseo operensssoe operenssose operenssoes operenesoss operenesoss
operenessos operenessso operenessso operenessos opereneosss opereneosss opereneosss opereneosss opereneosss opereneosss
operenesoss operenesoss operenessos operenessso operenessso operenessos operenesoss operenesoss operenessos operenessso
operenessso operenessos operensseos operensseso operenssoes operenssose operensssoe operenssseo operensesos operensesso
operenseoss operenseoss operensesos operensesso operensoess operensoess operensoses operensosse operensosse operensoses
operensseos operensseso operenssoes operenssose operensssoe operenssseo operensseso operensseos operenssseo operensssoe
operenssose operenssoes operensesso operensesos operensesso operensesos operenseoss operenseoss operensseso operensseos
operenssseo operensssoe operenssose operenssoes operensoess operensoess operensoses operensosse operensosse operensoses
opereeonsss opereeonsss opereeonsss opereeonsss opereeonsss opereeonsss opereeosnss opereeosnss opereeossns opereeosssn
opereeosssn opereeossns opereeossns opereeosssn opereeosnss opereeosnss opereeossns opereeosssn opereeosssn opereeossns
opereeosssn opereeossns opereeosnss opereeosnss opereenosss opereenosss opereenosss opereenosss opereenosss opereenosss
opereensoss opereensoss opereenssos opereenssso opereenssso opereenssos opereenssos opereenssso opereensoss opereensoss
opereenssos opereenssso opereenssso opereenssos opereenssso opereenssos opereensoss opereensoss opereesnoss opereesnoss
opereesnsos opereesnsso opereesnsso opereesnsos opereesonss opereesonss opereesosns opereesossn opereesossn opereesosns
opereessons opereessosn opereessnos opereessnso opereesssno opereessson opereessosn opereessons opereessson opereesssno
opereessnso opereessnos opereesnsos opereesnsso opereesnoss opereesnoss opereesnsos opereesnsso opereessnos opereessnso
opereessons opereessosn opereessson opereesssno opereesosns opereesossn opereesonss opereesonss opereesosns opereesossn
opereessson opereesssno opereessosn opereessons opereessnos opereessnso opereesnsso opereesnsos opereesnsso opereesnsos
opereesnoss opereesnoss opereessnso opereessnos opereesssno opereessson opereessosn opereessons opereesssno opereessson
opereessnso opereessnos opereessons opereessosn opereesossn opereesosns opereesossn opereesosns opereesonss opereesonss
operesoness operesoness operesonses operesonsse operesonsse operesonses operesoenss operesoenss operesoesns operesoessn
operesoessn operesoesns operesosens operesosesn operesosnes operesosnse operesossne operesossen operesosesn operesosens
operesossen operesossne operesosnse operesosnes operesnoess operesnoess operesnoses operesnosse operesnosse operesnoses
operesneoss operesneoss operesnesos operesnesso operesnesso operesnesos operesnseos operesnseso operesnsoes operesnsose
operesnssoe operesnsseo operesnseso operesnseos operesnsseo operesnssoe operesnsose operesnsoes operesenoss operesenoss
operesensos operesensso operesensso operesensos opereseonss opereseonss opereseosns opereseossn opereseossn opereseosns
operesesons operesesosn operesesnos operesesnso operesessno operesesson operesesosn operesesons operesesson operesessno
operesesnso operesesnos operessneos operessneso operessnoes operessnose operessnsoe operessnseo operessenos operessenso
operesseons operesseosn operesseson operessesno operessoens operessoesn operessones operessonse operessosne operessosen
operessseon operessseno operesssoen operesssone operesssnoe operesssneo operessneso operessneos operessnseo operessnsoe
operessnose operessnoes operessenso operessenos operessesno operesseson operesseosn operesseons operessseno operessseon
operesssneo operesssnoe operesssone operesssoen operessoesn operessoens operessosen operessosne operessonse operessones
operesoness operesoness operesonses operesonsse operesonsse operesonses operesoenss operesoenss operesoesns operesoessn
operesoessn operesoesns operesosens operesosesn operesosnes operesosnse operesossne operesossen operesosesn operesosens
operesossen operesossne operesosnse operesosnes operesnoess operesnoess operesnoses operesnosse operesnosse operesnoses
operesneoss operesneoss operesnesos operesnesso operesnesso operesnesos operesnseos operesnseso operesnsoes operesnsose
operesnssoe operesnsseo operesnseso operesnseos operesnsseo operesnssoe operesnsose operesnsoes operesenoss operesenoss
operesensos operesensso operesensso operesensos opereseonss opereseonss opereseosns opereseossn opereseossn opereseosns
operesesons operesesosn operesesnos operesesnso operesessno operesesson operesesosn operesesons operesesson operesessno
operesesnso operesesnos operessneos operessneso operessnoes operessnose operessnsoe operessnseo operessenos operessenso
operesseons operesseosn operesseson operessesno operessoens operessoesn operessones operessonse operessosne operessosen
operessseon operessseno operesssoen operesssone operesssnoe operesssneo operessneso operessneos operessnseo operessnsoe
operessnose operessnoes operessenso operessenos operessesno operesseson operesseosn operesseons operessseno operessseon
operesssneo operesssnoe operesssone operesssoen operessoesn operessoens operessosen operessosne operessonse operessones
opernseoess opernseoess opernseoses opernseosse opernseosse opernseoses opernseeoss opernseeoss opernseesos opernseesso
opernseesso opernseesos opernseseos opernseseso opernsesoes opernsesose opernsessoe opernsesseo opernseseso opernseseos
opernsesseo opernsessoe opernsesose opernsesoes opernsoeess opernsoeess opernsoeses opernsoesse opernsoesse opernsoeses
opernsoeess opernsoeess opernsoeses opernsoesse opernsoesse opernsoeses opernsosees opernsosese opernsosees opernsosese
opernsossee opernsossee opernsosese opernsosees opernsossee opernsossee opernsosese opernsosees opernseoess opernseoess
opernseoses opernseosse opernseosse opernseoses opernseeoss opernseeoss opernseesos opernseesso opernseesso opernseesos
opernseseos opernseseso opernsesoes opernsesose opernsessoe opernsesseo opernseseso opernseseos opernsesseo opernsessoe
opernsesose opernsesoes opernssoees opernssoese opernssoees opernssoese opernssosee opernssosee opernsseoes opernsseose
opernsseeos opernsseeso opernsseseo opernssesoe opernsseeos opernsseeso opernsseoes opernsseose opernssesoe opernsseseo
opernssseeo opernssseoe opernssseeo opernssseoe opernsssoee opernsssoee opernssoese opernssoees opernssosee opernssosee
opernssoese opernssoees opernsseose opernsseoes opernssesoe opernsseseo opernsseeso opernsseeos opernssseoe opernssseeo
opernsssoee opernsssoee opernssseoe opernssseeo opernsseeso opernsseeos opernsseseo opernssesoe opernsseose opernsseoes
opernesoess opernesoess opernesoses opernesosse opernesosse opernesoses operneseoss operneseoss opernesesos opernesesso
opernesesso opernesesos opernesseos opernesseso opernessoes opernessose opernesssoe opernessseo opernesseso opernesseos
opernessseo opernesssoe opernessose opernessoes operneosess operneosess operneosses operneossse operneossse operneosses
operneoesss operneoesss operneoesss operneoesss operneoesss operneoesss operneosess operneosess operneosses operneossse
operneossse operneosses operneosess operneosess operneosses operneossse operneossse operneosses operneeosss operneeosss
operneeosss operneeosss operneeosss operneeosss operneesoss operneesoss operneessos operneessso operneessso operneessos
operneessos operneessso operneesoss operneesoss operneessos operneessso operneessso operneessos operneessso operneessos
operneesoss operneesoss opernesoess opernesoess opernesoses opernesosse opernesosse opernesoses operneseoss operneseoss
opernesesos opernesesso opernesesso opernesesos opernesseos opernesseso opernessoes opernessose opernesssoe opernessseo
opernesseso opernesseos opernessseo opernesssoe opernessose opernessoes opernesoess opernesoess opernesoses opernesosse
opernesosse opernesoses operneseoss operneseoss opernesesos opernesesso opernesesso opernesesos opernesseos opernesseso
opernessoes opernessose opernesssoe opernessseo opernesseso opernesseos opernessseo opernesssoe opernessose opernessoes
opernoesess opernoesess opernoesses opernoessse opernoessse opernoesses opernoeesss opernoeesss opernoeesss opernoeesss
opernoeesss opernoeesss opernoesess opernoesess opernoesses opernoessse opernoessse opernoesses opernoesess opernoesess
opernoesses opernoessse opernoessse opernoesses opernoseess opernoseess opernoseses opernosesse opernosesse opernoseses
opernoseess opernoseess opernoseses opernosesse opernosesse opernoseses opernossees opernossese opernossees opernossese
opernosssee opernosssee opernossese opernossees opernosssee opernosssee opernossese opernossees opernoesess opernoesess
opernoesses opernoessse opernoessse opernoesses opernoeesss opernoeesss opernoeesss opernoeesss opernoeesss opernoeesss
opernoesess opernoesess opernoesses opernoessse opernoessse opernoesses opernoesess opernoesess opernoesses opernoessse
opernoessse opernoesses opernossees opernossese opernossees opernossese opernosssee opernosssee opernoseses opernosesse
opernoseess opernoseess opernoseses opernosesse opernoseess opernoseess opernoseses opernosesse opernosesse opernoseses
opernossees opernossese opernossees opernossese opernosssee opernosssee opernossese opernossees opernosssee opernosssee
opernossese opernossees opernosesse opernoseses opernosesse opernoseses opernoseess opernoseess opernossese opernossees
opernosssee opernosssee opernossese opernossees opernoseess opernoseess opernoseses opernosesse opernosesse opernoseses
operneeosss operneeosss operneeosss operneeosss operneeosss operneeosss operneesoss operneesoss operneessos operneessso
operneessso operneessos operneessos operneessso operneesoss operneesoss operneessos operneessso operneessso operneessos
operneessso operneessos operneesoss operneesoss operneoesss operneoesss operneoesss operneoesss operneoesss operneoesss
operneosess operneosess operneosses operneossse operneossse operneosses operneosses operneossse operneosess operneosess
operneosses operneossse operneossse operneosses operneossse operneosses operneosess operneosess opernesoess opernesoess
opernesoses opernesosse opernesosse opernesoses operneseoss operneseoss opernesesos opernesesso opernesesso opernesesos
opernesseos opernesseso opernessoes opernessose opernesssoe opernessseo opernesseso opernesseos opernessseo opernesssoe
opernessose opernessoes opernesoses opernesosse opernesoess opernesoess opernesoses opernesosse opernessoes opernessose
opernesseos opernesseso opernessseo opernesssoe opernesesos opernesesso operneseoss operneseoss opernesesos opernesesso
opernessseo opernesssoe opernesseso opernesseos opernessoes opernessose opernesosse opernesoses opernesosse opernesoses
opernesoess opernesoess opernessose opernessoes opernesssoe opernessseo opernesseso opernesseos opernesssoe opernessseo
opernessose opernessoes opernesseos opernesseso opernesesso opernesesos opernesesso opernesesos operneseoss operneseoss
opernseoess opernseoess opernseoses opernseosse opernseosse opernseoses opernseeoss opernseeoss opernseesos opernseesso
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operssoseen operssosene operssoseen operssosene operssosnee operssosnee opersssneoe opersssneeo opersssnoee opersssnoee
opersssneoe opersssneeo opersssenoe operssseneo operssseone operssseoen operssseeon operssseeno opersssoene opersssoeen
opersssonee opersssonee opersssoene opersssoeen operssseeon operssseeno operssseoen operssseone opersssenoe operssseneo
opersseneso opersseneos operssenseo operssensoe operssenose operssenoes opersseenso opersseenos opersseesno opersseeson
opersseeosn opersseeons opersseseno opersseseon operssesneo operssesnoe operssesone operssesoen opersseoesn opersseoens
opersseosen opersseosne opersseonse opersseones operssneeso operssneeos operssneseo operssnesoe operssneose operssneoes
operssneeso operssneeos operssneseo operssnesoe operssneose operssneoes operssnseeo operssnseoe operssnseeo operssnseoe
operssnsoee operssnsoee operssnoese operssnoees operssnosee operssnosee operssnoese operssnoees opersseneso opersseneos
operssenseo operssensoe operssenose operssenoes opersseenso opersseenos opersseesno opersseeson opersseeosn opersseeons
opersseseno opersseseon operssesneo operssesnoe operssesone operssesoen opersseoesn opersseoens opersseosen opersseosne
opersseonse opersseones opersssneeo opersssneoe opersssneeo opersssneoe opersssnoee opersssnoee operssseneo opersssenoe
operssseeno operssseeon operssseoen operssseone operssseeno operssseeon operssseneo opersssenoe operssseone operssseoen
opersssoeen opersssoene opersssoeen opersssoene opersssonee opersssonee operssonese operssonees operssonsee operssonsee
operssonese operssonees operssoense operssoenes operssoesne operssoesen operssoeesn operssoeens operssosene operssoseen
operssosnee operssosnee operssosene operssoseen operssoeesn operssoeens operssoesen operssoesne operssoense operssoenes
opersesneso opersesneos opersesnseo opersesnsoe opersesnose opersesnoes opersesenso opersesenos opersesesno operseseson
operseseosn operseseons opersesseno opersesseon opersessneo opersessnoe opersessone opersessoen opersesoesn opersesoens
opersesosen opersesosne opersesonse opersesones opersenseso opersenseos opersensseo opersenssoe opersensose opersensoes
opersenesso opersenesos opersenesso opersenesos operseneoss operseneoss opersenseso opersenseos opersensseo opersenssoe
opersensose opersensoes opersenoess opersenoess opersenoses opersenosse opersenosse opersenoses operseensso operseensos
operseensso operseensos operseenoss operseenoss operseesnso operseesnos operseessno operseesson operseesosn operseesons
operseessno operseesson operseesnso operseesnos operseesons operseesosn operseeossn operseeosns operseeossn operseeosns
operseeonss operseeonss opersesneso opersesneos opersesnseo opersesnsoe opersesnose opersesnoes opersesenso opersesenos
opersesesno operseseson operseseosn operseseons opersesseno opersesseon opersessneo opersessnoe opersessone opersessoen
opersesoesn opersesoens opersesosen opersesosne opersesonse opersesones operseoness operseoness operseonses operseonsse
operseonsse operseonses operseoenss operseoenss operseoesns operseoessn operseoessn operseoesns operseosens operseosesn
operseosnes operseosnse operseossne operseossen operseosesn operseosens operseossen operseossne operseosnse operseosnes
opersneseso opersneseos opersnesseo opersnessoe opersnesose opersnesoes opersneesso opersneesos opersneesso opersneesos
opersneeoss opersneeoss opersneseso opersneseos opersnesseo opersnessoe opersnesose opersnesoes opersneoess opersneoess
opersneoses opersneosse opersneosse opersneoses opersnseeso opersnseeos opersnseseo opersnsesoe opersnseose opersnseoes
opersnseeso opersnseeos opersnseseo opersnsesoe opersnseose opersnseoes opersnsseeo opersnsseoe opersnsseeo opersnsseoe
opersnssoee opersnssoee opersnsoese opersnsoees opersnsosee opersnsosee opersnsoese opersnsoees opersneseso opersneseos
opersnesseo opersnessoe opersnesose opersnesoes opersneesso opersneesos opersneesso opersneesos opersneeoss opersneeoss
opersneseso opersneseos opersnesseo opersnessoe opersnesose opersnesoes opersneoess opersneoess opersneoses opersneosse
opersneosse opersneoses opersnsseeo opersnsseoe opersnsseeo opersnsseoe opersnssoee opersnssoee opersnseseo opersnsesoe
opersnseeso opersnseeos opersnseoes opersnseose opersnseeso opersnseeos opersnseseo opersnsesoe opersnseose opersnseoes
opersnsoees opersnsoese opersnsoees opersnsoese opersnsosee opersnsosee opersnosese opersnosees opersnossee opersnossee
opersnosese opersnosees opersnoesse opersnoeses opersnoesse opersnoeses opersnoeess opersnoeess opersnosese opersnosees
opersnossee opersnossee opersnosese opersnosees opersnoeess opersnoeess opersnoeses opersnoesse opersnoesse opersnoeses
operseensso operseensos operseensso operseensos operseenoss operseenoss operseesnso operseesnos operseessno operseesson
operseesosn operseesons operseessno operseesson operseesnso operseesnos operseesons operseesosn operseeossn operseeosns
operseeossn operseeosns operseeonss operseeonss opersenesso opersenesos opersenesso opersenesos operseneoss operseneoss
opersenseso opersenseos opersensseo opersenssoe opersensose opersensoes opersensseo opersenssoe opersenseso opersenseos
opersensoes opersensose opersenosse opersenoses opersenosse opersenoses opersenoess opersenoess opersesneso opersesneos
opersesnseo opersesnsoe opersesnose opersesnoes opersesenso opersesenos opersesesno operseseson operseseosn operseseons
opersesseno opersesseon opersessneo opersessnoe opersessone opersessoen opersesoesn opersesoens opersesosen opersesosne
opersesonse opersesones opersesnseo opersesnsoe opersesneso opersesneos opersesnoes opersesnose opersessneo opersessnoe
opersesseno opersesseon opersessoen opersessone opersesesno operseseson opersesenso opersesenos operseseons operseseosn
opersesosen opersesosne opersesoesn opersesoens opersesones opersesonse operseonsse operseonses operseonsse operseonses
operseoness operseoness operseosnse operseosnes operseossne operseossen operseosesn operseosens operseossne operseossen
operseosnse operseosnes operseosens operseosesn operseoessn operseoesns operseoessn operseoesns operseoenss operseoenss
opersseneso opersseneos operssenseo operssensoe operssenose operssenoes opersseenso opersseenos opersseesno opersseeson
opersseeosn opersseeons opersseseno opersseseon operssesneo operssesnoe operssesone operssesoen opersseoesn opersseoens
opersseosen opersseosne opersseonse opersseones operssneeso operssneeos operssneseo operssnesoe operssneose operssneoes
operssneeso operssneeos operssneseo operssnesoe operssneose operssneoes operssnseeo operssnseoe operssnseeo operssnseoe
operssnsoee operssnsoee operssnoese operssnoees operssnosee operssnosee operssnoese operssnoees opersseneso opersseneos
operssenseo operssensoe operssenose operssenoes opersseenso opersseenos opersseesno opersseeson opersseeosn opersseeons
opersseseno opersseseon operssesneo operssesnoe operssesone operssesoen opersseoesn opersseoens opersseosen opersseosne
opersseonse opersseones opersssneeo opersssneoe opersssneeo opersssneoe opersssnoee opersssnoee operssseneo opersssenoe
operssseeno operssseeon operssseoen operssseone operssseeno operssseeon operssseneo opersssenoe operssseone operssseoen
opersssoeen opersssoene opersssoeen opersssoene opersssonee opersssonee operssonese operssonees operssonsee operssonsee
operssonese operssonees operssoense operssoenes operssoesne operssoesen operssoeesn operssoeens operssosene operssoseen
operssosnee operssosnee operssosene operssoseen operssoeesn operssoeens operssoesen operssoesne operssoense operssoenes
opersoeness opersoeness opersoenses opersoensse opersoensse opersoenses opersoeenss opersoeenss opersoeesns opersoeessn
opersoeessn opersoeesns opersoesens opersoesesn opersoesnes opersoesnse opersoessne opersoessen opersoesesn opersoesens
opersoessen opersoessne opersoesnse opersoesnes opersoneess opersoneess opersoneses opersonesse opersonesse opersoneses
opersoneess opersoneess opersoneses opersonesse opersonesse opersoneses opersonsees opersonsese opersonsees opersonsese
opersonssee opersonssee opersonsese opersonsees opersonssee opersonssee opersonsese opersonsees opersoeness opersoeness
opersoenses opersoensse opersoensse opersoenses opersoeenss opersoeenss opersoeesns opersoeessn opersoeessn opersoeesns
opersoesens opersoesesn opersoesnes opersoesnse opersoessne opersoessen opersoesesn opersoesens opersoessen opersoessne
opersoesnse opersoesnes opersosnees opersosnese opersosnees opersosnese opersosnsee opersosnsee opersosenes opersosense
opersoseens opersoseesn opersosesen opersosesne opersoseens opersoseesn opersosenes opersosense opersosesne opersosesen
opersosseen opersossene opersosseen opersossene opersossnee opersossnee opersosnese opersosnees opersosnsee opersosnsee
opersosnese opersosnees opersosense opersosenes opersosesne opersosesen opersoseesn opersoseens opersossene opersosseen
opersossnee opersossnee opersossene opersosseen opersoseesn opersoseens opersosesen opersosesne opersosense opersosenes

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History of cryptography
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