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1、GuidetoEllipticCurveCryptographyDarrelHankersonAlfredMenezesScottVanstoneSpringerGuidetoEllipticCurveCryptographySpringerNewYorkBerlinHeidelbergHongKongLondonMilanParisTokyoDarrelHankersonAlfredMenezesScottVanstoneGuidetoEllipticCurveCryptographyWith38IllustrationsSpringerDarrelHankcrs
2、nnAlfredMenezesDepartmentofMathematicsDepartmetofCombinatoriesandAuburnUniversityOptimizationAuhuni,Al..36849-5107.USAUniversityofWaterloohankedr"1auburn,cduWaterloo.Ontario,N2L3G1Canadaajmeneze@uwaterloo.caScottVansloneDepartmenlofCombinatoricsandOplimi/.alionUniversityofWaterlooWater
3、loo,Ontario.N2L3GlCanadaxavansUK"1LIWaterloo.ealibraryofCongressCalaloging-in-PublicationDataHankerson.DarrelR.Guidetoellipticcurvecryptography/DarrelHankerson,AlfredJ.Menezes,ScottVanstone.p.cm.Includesbibliographicalreferencesandindex.ISBN0-387-95273-X(alk.paper)1.Computersecuriiy.2.
4、PuMickeycryptography.I.Vunsionc,ScottA,11.Mene/.es.A.J.(AlfredJ,),1965-III.Title,QA76.9.A25H372003005.8'(2-dc222003059137ISBN0-387-95273-XPrintedunacid-freepaper.(c)2004Springer-VerlagNewYork,Inc.Allriglilsreserved.ThisworkmaynotIx1translatedorcopiedinwimleorinpanwithoutthewrittenpermi
5、ssionol'Ihepuhlishi-rISpringer-VL-rlagNewYork,Inc.,175I-'ifthAvenue,NewYork,NY10010,USAJ,exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandreltrieval,electronicadaption,computersoftware,orbysimilarordissimilarmethodologyno
6、wknown01hereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhedierornottheyaresubjecttoproprietaryrights.PrintedmtheUnitedStatesofAmerica.(HAM)987654321SPIN1
7、0832297Springer-Vcrlagisapartof'Springerscience+BusinessMediaspringeronline.comContentsListofAlgorithmsixListofTablesxivListofFiguresxviAcronymsxviiPrefacexix1IntroductionandOverview11.1Cryptographybasics..........................21.2Public-keycryptography........................61.2