数字签名理论及应用研究

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1、南京理工大学博士学位论文数字签名理论及应用研究姓名：赵泽茂申请学位级别：博士专业：计算机应用技术指导教师：刘凤玉20050501Abstract博士谂文TheinformationsecurityhasbPA30memoreandmorecrucialwiththedevelopmentofcomputerandnetworktechnologies。弛edigitatsignatureisoneofkeytechniquesininformationsecud嗷especiallyintheauth

2、entication，dataintegri壤andnon-repudiation。Ithasbeenwidelyusedinmilitary,communication，e-colnlTlerceande-government，etc．，andwillbecomemoreandmolepopularafterthee-signaturelawisputinpractice．熊emaininterestofthisdissertationis0nthetheoryandmethodofdigitals

3、ignamreanditsapplication．TheresearchfocusesOilsoinekeyproblems醑digita壬signature．BasedOilthecharacteristicsofvarioussigningequ毽蛀on，problemssuchasconstructingsignatureschemeandchooingparameterofsigningequa畦onarefullyinvestigated纽thisdissertation。Somesigni

4、ficantresultsareobtained，including：1)amethodofchoosingtheparmetersofsigningequationtogenerateElGamalsigningequation，thismethodextendstheavailablerangeofchoosingsignature．2)anewellipticcurveauthenticatedencryptionschemewithmessagerecovery．ItispointedOUtt

5、hatthereeretwoforgeryattackswithknownplaimextundertheone—wayfunctionishomostasisfunction，alloftheseindicatesomesignatureschemessatisf36ngcertainconditionsCanavoidtheforgeryattack．3)anewellipticcal～eauthenticatedencryptionschemewithmessagelinkagereCOVery

6、,whichsolvestheproblemssuchasmessageeneryptionandauthentication，messagelinkagerecoveryandloadoftransmiviugdata．4)anellipticcui-'vesignatureschemewithmessagerecovery,andthegeneralizedformsofconslDJctingsigningeqauationandmethodsofchoosingparameteresofsig

7、ningequation．Withtheconsiderationofwhethertheownerofmessageispersuingbysignerinblindsignature，thisdissertationproposesamethodtogenerateEIGamaiweakly—blindsignaturescheme，whichcontainsalmostalloftheknowntypeofweakly—blindsigna雠scheme，Usingmulti-lineartra

8、nsformformulatodescribetherelationshipsamongthevariablesheldbyUSerandproxysigner,thisdissertationproposesaproxyblindsignaturebasedonellipticcurvecryptosystem．Usingthebi硅neartheoryofWellpairingd嘶nedoneali嘏ccurve,anew113一basedblind