椭圆曲线密码(ecc)研究分析及其ip的实现与验证

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6、NDTHECORRESPONDINGHARDWAREIPIMPLEMENTATIONANDVERIFICATIONABSTRACTAttentionhasincreasinglybeenpaidtosecurityissueswiththedevelopmentofcom-puterandInternettechnology.EllipticCurveCryptographyisthemostexcitingPublicKeyCryptographysystem,whichwasfirstproposedin1985,andisverylik

7、elytobecomethenextgenerationofcorealgorithminPKIapplicationbecauseofitsefficiencyandhighse-curelevel.ThispaperfirstmakesadeepresearchandanalysisoftheECCAlgorithm,andproposesasuitableschemebasedonthecharacteristicofECCandhardwaredesign,whichincludesalldetailedalgorithms.Theal

8、gorithmwillbedividedintodifferenthiberarchies.ImplemetationandvalidationoftheprototypefortheschemewillbeperformedusingClanguage,toproveitscorrectness,feasibilityandefficiency.Withoptimizationandimprovementbaseonthisoriginalone,Afinalschemewillbeworkedoutforhardwaredesign.Ano

9、veldesignofECCIP,usinghierarchicalmethod,newpointoperationschemeandenhancedMontgomeryMultiplier,isproposedbasedonEllipticCurveCryptographyoverGF(p).ItcanperformECCpointscalarmultiple,pointdoubleandpointaddition/subtractionoperationandsupportRSA.TheIP,underafrequencyof100MH

10、z,canfulfill120and18timesofpointmultipleon256and521bitellipticcurvesuggestedbyNISTonesecondre-spectively.AtthesametimedesignusesSRAMasmemoryforbigintegers,whichdefinitelysavesagreatdealofareacost.Under100MHzfrequency,IP'stotalareais100kgatebasedonSMIC0.18µprocess.Thisdesignh

11、aspassedFPGAverificationandBack-Endproce-dure,reachesthelevelofcommercialoutput,whichisver