混合多重数字签名的研究

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1、上海交通大学硕士学位论文混合多重数字签名的研究姓名：张明熙申请学位级别：硕士专业：软件工程指导教师：郑东;杜伟章20051020ElGamal型签名方程，而且具备防止签名重播攻击的功能；对杨晓云等给出的椭圆曲线多重数字签名方案进行了改进，该方案不能抵抗重播攻击，改进后的方案不但适用丁•一切椭圆曲线签名方程，而且均具备防止签名重播攻击的功能；再次，在上述方案的基础上构建了三种混合多重数字签名方案，即前向安全的RSA混合多重数字签名方案、ElGamal型混合多重数字签名方案、椭圆曲线混合多重数字签名方案。对三种方案的正确性进行了证明，对安全性和优越性进行了分析比较；最

2、后，以网上学生毕业审批系统为背景，结合我们给出的椭圆曲线混合多重数字签名方案进一步阐述了混合多重数字签名技术的具体应用方法和效果。关键词：数字签名，多重数字签名，有序多重数字签名，广播多重数字签名，混合多重数字签名，学生毕业审批系统RESEACHONDIGITALMIXEDMULTI-SIGNATUREABSTRACTIntheinformationtimes,theproblemofinformationsecurityhasalreadybecomeanimportantcontentofinformationconstructioninourcountry.

3、Thedigitalsignaturetechniquehasbeenfromthepatternofinitialsinglesignatureandsingleconfirmtothestageofsignatureandconfirmbyagroupofusers・AtPresent,thereexistsomeinsufficienciesintheresearchareaofthedigitalmulti-signature.Lookingfromthesignatureprocess,wehaveobservedthatsequentialmulti-

4、signatureschemesandbroadcastingmulti-signatureschemes,theconceptandthedefinitionofthedigitalmixedmulti-signatureanddoublelinklistofdigitalsignaturehavebeenpresentedinthispaper・Secondly,byimprovingthedigitalmulti-signatureschemespresentedinthreeliteratures,wehaveconstructedsequentialm

5、ulti-signatureschemesandbroadcastingmulti-signatureschemeswithsafetyaheadbasedonRSA,sequentialmultisignatureschemesandbroadcastingmulti-signatureschemesbasedongeneralizedElGamaFsschemes,sequentialmulti-signatureschemesandbroadcastingmulti-signatureschemesontheellipticcurveseparately.

6、Whentheprivatekeysiofsomesignatureentitywasrevealed,thetwokindsofRSAdigitalmulti-signatureschemesinZhangJianhong'sliteraturewouldbefutile.ThispaperhasimprovedZhangJianhong5sschemesbyusingWangXiaoming^methodofsafetyahead・Thevalidityofthedigitalmulti-signatureinthenewschemewouldnotbeaff

7、ectedeven讦thecurrentprivatekeyhasbeenrevealed.ByusingLuJianzhtTsmethodtopreventreplayingattack,thisoutveonlysuitableforallellipticcurvesignatureequationsbutalsohasthefunctiontoresistthereplayingattack.Thirdly,thispaperhasdesignedthreekindsofthedigitalmixedmulti-signatureschemesinthefo

8、undat