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1、FullyLeakage-ResilientSignaturesEletteBoyleGilSegevyDanielWichszMarch12,2011AbstractAsignatureschemeisfullyleakageresilient(KatzandVaikuntanathan,ASIACRYPT'09)ifitisexistentiallyunforgeableunderanadaptivechosen-messageattackeveninasettingwhereanadversarymayobtainbounded(yetarbitrary)leakagei
2、nformationonallintermediatevaluesthatareusedthroughoutthelifetimeofthesystem.Thisisastrongandmeaningfulnotionofsecuritythatcapturesawiderangeofside-channelattacks.Oneofthemainchallengesinconstructingfullyleakage-resilientsignatureschemesisdeal-ingwithleakagethatmaydependontherandombitsusedbyt
3、hesigningalgorithm,andconstructionsofsuchschemesareknownonlyintherandom-oraclemodel.Moreover,evenintherandom-oraclemodel,knownschemesareonlyresilienttoleakageoflessthanhalfthelengthoftheirsigningkey.Inthispaperweconstructtherstfullyleakage-resilientsignatureschemeswithoutrandomoracles.Wepres
4、entaschemethatisresilienttoanyleakageoflength(1 o(1))Lbits,whereListhelengthofthesigningkey.Ourapproachreliesongenericcryptographicprimitives,andatthesametimeadmitsratherecientinstantiationsbasedonspecicnumber-theoreticassumptions.Inaddition,weshowthatourapproachextendstothecontinual-leakag
5、emodel,recentlyintroducedbyDodis,Haralambiev,Lopez-AltandWichs(FOCS'10),andbyBrakerski,TaumanKalai,KatzandVaikuntanathan(FOCS'10).Inthismodelthesigningkeyisallowedtoberefreshed,whileitscorrespondingvericationkeyremainsxed,andtheamountofleakageisassumedtobeboundedonlyinbetweenanytwosuccessiv
6、ekeyrefreshes.DepartmentofMathematics,MassachusettsInstituteofTechnology,Cambridge,MA02139,USA.Email:eboyle@mit.edu.ResearchsupportedbytheUSNationalDefenseScienceandEngineeringGraduateFellowship.ThisworkwaspartiallycompletedwhilevisitingtheWeizmannInstituteofScience.yMicrosoftResearch,Mounta
7、inView,CA94043,USA.Email:gil.segev@microsoft.com.ThisworkwaspartiallycompletedwhiletheauthorwasaPh.D.studentattheWeizmannInstituteofScience,andsupportedbytheAdamsFellowshipProgramoftheIsraelAcademyofSciencesandHumanities.zDepartmentofComputer