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1、Proposalofanewe?cientpublickeysystemforencryptionanddigitalsignaturesGeroldGr¨unauerEmail:geroldgruenauer@web.de10/01/2007AbstractInthispaperanewe?cientpublickeycryptosystemusableforbothencryptionanddigitalsignaturesispresented.Duetoitssimplestructurethispublickeyciphercanbeimplementedeasilyinev
2、erysoftwareorhardwaredevice,makingthecryptosystemavailableforcircumstanceswheretheimplementationofanalternativelikeRSA,ElGamal/Di?e-Hellmann,etc.istoocomplicated.Furthermoretheconstructionontheclosestandshortestvectorproblemusinganewhomomorph”almost”linearone-wayfunctiongivesnotonlystrongevidenc
3、eofthecipherssecurity,butmaybealsothebaseforanewclassofcryptographicprimitivesbasedonlatticeproblems.Thereforethiscipheranditsconstructionisagoodalternativetocryptosystemsbasedontheintegerfactoriziationproblemorthediscretelogarithm.1IntroductionInthelastdecadesalotofpublickeycryptosystemshavebee
4、nproposed,butneverthelessonlyafewcryptosystems(namelyRSA,ElGamal/Di?e-Hellman,DSA,...)areusedinpractise.However,thesecryptosystemsareveryhardtoimplement(especiallyforunskillednewprogrammersorinsmartcardsorcom-parableenvironments).Furthermoreallthosepublickeysystemsarebasedonnumbertheoreticalprob
5、lemsliketheintegerfactorizationproblemorthedis-cretelogarithm.Shouldanynumbertheoreticalproblembesolvedthesecurityoftheseciphersisindanger.Inordertocicumventthesedrawbacksalotofpeoplehavebeensearchingforfasterandsometimeseasierimplementablealternativecryptographicalgo-rithms.Worthtomentionherear
6、eforexamplethecryptosystemsbasedontheknapsackproblem(see[1]forthehistoryofknapsacktypecryptosystems).Thesepublickeyencryptionalgorithmswouldhavebeenfasterthananysysteminvolvingnumbertheoreticalconstructions.However,allknownciphersofthattypehaveeitherbeenbrokenand/orarecompletelyimpracticalbecaus
7、eoftoolargekeys/ciphertext.1Otherproposedpublickeysystemsarebasedonproblemswhicharehardlyknownandresearchedbythecryptographiccommunity.TheFAPKC(FiniteAutomataPublicKeyCryptosystem,see[2])isanexampleforsuchacipher.Thispromisi
