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1、http://www.paper.edu.cnID-BasedRobustThresholdSignatureScheme*fromBilinearPairings†RongxingLu,ZhenfuCaoandYuanZhouDepartmentofComputerScienceandEngineering,ShanghaiJiaoTongUniversity,No.1954,HuashanRoad,Shanghai,PRC200030{rxlu,cao-zf,yzhou}@cs.sjtu.edu.cnAbstractInrecentyears,thebilinearpairin
2、gs,namelytheWeilpairingofalgebraiccurves,haveinitiatedsomenewfieldsincryptography,andmanyexcellentID-basedsignatureschemesfrompairingshavebeenproposed.However,wenoticethatID-basedthresholdsignatureschemestodayarefarrarerthanbasicID-basedsignatureschemes.Inordertofillthisvoid,inthispaper,wewoul
3、dliketopresentanewID-basedrobustthresholdsignatureschemefrombilinearpairings.AnykormoremembersinourschemecancooperatetogenerateavalidID-basedsignature,whilek−1orlesscan’t.Inaddition,ourschemealsoenjoysrobustness.Keywords:ThresholdSignature;ID-basedThresholdSignature;BilinearPairings.1Introduct
4、ion[1]In1991,DesmedtandFrankelfirstproposedtheconceptofthresholdsignaturebycombining[2]digitalsignaturesandShamirsecretsharingschemes.Ina(k,n)thresholdsignaturescheme,agroupsecretkeyissharedbynmembers,anykormoreoutofnmemberscancooperatetoissueavalidsignature,whileanyk−1orlesscan’tforgeavalidon
5、e.Althoughthethresholdsignatureschemeinheritstheadvantageofsecretsharingscheme,therestillexistsanapparent*ThisworkwassupportedinpartbytheNationalResearchFundfortheDoctoralProgramofHigherEducationofChinaunderGrantNo.20020248024.†Correspondenceto:ZhenfuCao,E-mail:cao-zf@cs.sjtu.edu.cn1http://www
6、.paper.edu.cndifferencebetweenthem:thegroupsecretkeycanbeonlyusedonceinthesecretsharingscheme,butcanberepeatedlyusedinthethresholdsignaturescheme.Sincethethresholdsignatureschemesenjoymanymerits,suchasdecentralizingthesigningauthorityandpreservingthepropertyofsigneranonymity,manyexcellentthres
7、holdsignatureschemeshavebeenproposedoverthepastyears[3,4,5].[6]InordertobypassthetrustproblemsintraditionalPublicKeyInfrastructure(PKI),ShamirintroducedtheconceptofID-basedsystemsin1984.Accordingtohim,inanID-basedsystem,thepublickeyofau