公開密鑰密碼編碼學(xué)研究.pdf

1、南京理工大學(xué)碩士學(xué)位論文公開密鑰密碼編碼學(xué)研究姓名：蔡昱祺申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：計(jì)算機(jī)軟件與理論指導(dǎo)教師：葉有培20040701璺主笙星竺墅童!!童堡麴里蘭笙壅AbStractPublic—keycryptographyisoneofthemostimportantresearchdirectionofencryptionusingmathematicalfunctiontoconstructpublic—keyencryptarit

2、hmeticisthenucleusofitThispaperstartsbyintroducingrelationalmathematicalexperienceandseveralclassicalarithmeticsofpublic—keycryptography，thenusingnumbertheoryandalgebratocreatepublic—keycryptosystemConcretelyworkinclude：

3、1putforwardapublic—keyencryptarithmeticthatbasedonpolynomialresidual—classringinrationalnumberfieldanditsderivativeencryptarithmetic，andanalyzetheirsecurity；2discusstheideaofcomplexencrypt，putforwardaencryptarithmeticofi

4、terativecomplexandaencryptarithmeticofonedimensionalcomplex，thenanalyzetheirsecurity；3usethederivativeencryptarithmeticofthepublic—keyencryptarithmeticthatbasedonpolynomialresidualclassringinrationalnumberfield，onedimens

5、ionalindeterminateequation，keydistributioncenter(KDC)，thenputforwardaunidirectionafdiscrimination—protoc01Keyword：public—keyencryptarithmetic，polynomialring，indeterminateequation，zerothpolynomial，iterativecomplex，onedime