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1、SongY.YanNumberTheoryforComputingSecondEditionForewordbyMartinE.HellmanWith26Figures,78Images,and33TablesSpringerBerlinHeidelbergNewYorkBarcelonaHongKongLondonMilanSpringerParisTokyoSongY.YanForewordComputerScienceAstonUniversityBirminghamB47ETUKs.yan@aston.ac.ukModerncrypto
2、graphydependsheavilyonnumbertheory,withprimalitytest-ing,factoring,discretelogarithms(indices),andellipticcurvesbeingperhapsthemostprominentsubject.areas.Sincemyowngraduatestudyhadempha-sizedprobabilitytheory,statistics,andrealanalysis,whenIstartedwork-ACMComputingClassifica
3、tion(1998):F.2.1,E.3-4,D.4.6,B.2.4,11.2ingincryptographyaround1970,Ifoundmyselfswimminginanunknown,AMSMathematicsSubjectClassification(1991):1lAxx,1IT71,murkysea.Ithusknowfrompersonalexperiencehowinaccessiblenumber11Yxx,11Dxx,11Z05,68Q25,94A60theorycanbetotheuninitiated.Than
4、kyouforyoureffortstoeasethetransitionforanewgenerationofcryptographers.LibraryofCongressCataloging-in-PublicationDataappliedforThankyoualsoforhelpingRalphMerklereceivethecredithedeserves.DieDeutscheBibliothek-CIP-EinheitsaufnahmeDiffie,Rix-est.Shamir.AdlemanandIhadthegoodluc
5、ktogetexpeditedYan,SongY.:reviewofourpapers,sothattheyappearedbeforeMerkle'sseminalcontribu-Numbertheoryforcomputing:with32tables/SongY.Yan.-2.ed.,rev.andextended.-Berlin;Heidelberg;NewYork;Barcelona;HongKong;tion.YournotinghisearlysubmissiondateandreferringtowhathascometoLo
6、ndon;Milan;Paris;Tokyo:Springer,2002becalled"Diffie-Hellmankeyexchange"asitshould,"Diffie-Hellman-MerkleISBN3-540-43072-5keyexchange",isgreatlyappreciated.ISBN3-540-43072-5Springer-VerlagBerlinHeidelberNewYorkIthasbeengratifyingtoseehowcryptographyandnumbertheoryhaveISBN3-54
7、0-65472-0Springer-VerlagBerlinHeidelbergNewYork(1sted.)helpedeachotheroverthelasttwenty-fiveyears.NumbertheoryhasbeenthesourceofnumerouscleverideasforimplementingcryptographicsystemsThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartoftheandprotocolswhile
8、cryptographyhasbeenhelpfulingettingfundingforthismaterialisconcerned,specif
