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《基于koblitz橢圓曲線的公鑰密碼體制實現(xiàn)技術(shù)研究》由會員上傳分享，免費在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫。
1、Abstractb弱is，wemayuseFrobeniusmapintegerktoTNAFrepresentationofit，andthenusingittocomputescalarmultiplication．Therehasnodoublingpointsoperation．Therefore，thekeytoimproVescalarmultiplicationishowtoreducethelen垂hofTNAFofk．711lisaniclehasdeeplyresearchedtheimplementat
2、ionofellipticcurvecryptosystem，andmainlydiscussedthefastgeneratiOnofhmbdaofno咖albasisrepresentation，鋤dfinitefieldmultiplicationalgorithm鋤dscalarmultiplicati咖ofKoblitzcun，e．Firstly；thisarticlehasdiscussedthetheory；anddeeplyanalyzingthegenefationalgorithmofLambda，and
3、百Venthegenerationalgorithmof耵peIand下ypeIILambda．AfteranalyzingtheprocessofTypeIILambda，Animpr0Veda190rithmh硒putfb州ard．1thasimproVedtheef!ficientofgenerationofLambdaby50％．Secondly，thisaniclehasdiscussedfinitefieldmultiplication，andgiVenitsgeneralformulainoptimalno舶a
4、lbasis．Then，wehaveresearchedtheR0singa190rithmandNing—Yinalgorithm，andputfonvardanimpr0Veda190rithmandthreepre-cOmputationmethods．Finally，wehaVetestedanabOVealgorithms．AccofdingtOouranalysisandexperimentation，thenewimpmVedalgorithmimprovesinitsefficiencywithabout20
5、％bycomparisonwithNing-Yinalgorithm．Amdthen，theaniclehasanalyzedthepropeniesofKoblitzcuⅣe，anddiscussedtheinfluenceofoptionalnonnalbasisonscalarmultiplication，andalsodiscussedthe№蟠algorithmandTNAFalgorithm．Itimplementsanimpro、，eda190rithmof1NAFalgorithm，andimproVesth
6、eperfo咖anceofECCby50％．Finally，thearticlehasappliedtoECDSA．IthasbeenprovedthefeasibilityofaboVeimproVedalgorithmandimplementation．Onthewhole，itcanimproVethee蜀ficiencywith68％comparedwithRosing’simplementation．Theresearchf
7、uitsinthispaperhaVereferencedValueandengineer
8、ingpracticalValueinapplicationsofellipticcuⅣecryptosystem．Keywords：EllipticCurveCrypto黟aphy0ptimalNo珊alBasisFiniteFieldMultiplicationScalarMultiplicationV獨創(chuàng)性聲明本人聲明所呈交的學(xué)位論文是本人在導(dǎo)師指導(dǎo)下進行的研究工作及取得的研究成果。據(jù)我所知，除了文中特別加以標(biāo)注和致謝的地方外，論文中不包含其他人已經(jīng)發(fā)表或撰寫過的研究成果，也不包含為獲得盛都堡王丕堂或其他教育機構(gòu)的學(xué)位
9、或證書而使用過的材料。與我一同工作的同志對本研究所做的任何貢獻均已在論文中作了明確的說明并表示謝意。秈姍躲王域如多年多月學(xué)位論文版權(quán)使用授權(quán)書本學(xué)位論文作者完全了解盛壑堡王太堂有關(guān)保留、使用學(xué)位論文的規(guī)定，有權(quán)保留并向國家有關(guān)部門或機構(gòu)送交論文的復(fù)印件和磁盤，允許論文被查閱和借閱。本人授權(quán)
