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一种新的针对指定接收组的多重签名方案及其应用 Title:ANovelMulti-SignatureSchemeforSpecifiedRecipientGroupsandItsApplications Abstract: Inrecentyears,therehasbeenagrowinginterestindevelopingsecureandefficientmulti-signatureschemesforvariousapplications.Multi-signatureschemesplayavitalroleinensuringtheauthenticityandintegrityofdigitaltransactionsamongmultipleparties.Thispaperproposesanewmulti-signatureschemespecificallydesignedforspecifiedrecipientgroups,addressingthelimitationsofexistingschemes.Theproposedschemenotonlyenhancesthesecurityandefficiencyofdigitaltransactionsbutalsooffersapplicationsindomainssuchase-commerce,decentralizedfinance,andsecuregroupcommunication. Keywords:Multi-signaturescheme,security,efficiency,specifiedrecipientgroups,applications. 1.Introduction Theriseofdecentralizedsystemsanddigitaltransactionshasledtoanincreasingdemandforsecureandefficientmulti-signatureschemes.Unliketraditionaldigitalsignatures,whichrequiretheendorsementofasingleentity,multi-signatureschemesinvolvemultiplepartiescollaboratingtogenerateacollectivesignature. 2.ExistingMulti-SignatureSchemes Existingmulti-signatureschemeshaveprovenusefulinvariousdomains,suchascryptocurrencytransactionsandcontractsigning.However,theseschemeshavelimitationswhenitcomestohandlingspecifiedrecipientgroupsefficiently.Inparticular,theymayrequiremultipleroundsofcommunicationormaynotsupportdynamicgroupmembershipchanges. 3.ProposedMulti-SignatureScheme Theproposedmulti-signatureschemeaddressesthelimitationsofexistingschemesbyprovidingefficientsupportforspecifiedrecipientgroups.Thekeyfeaturesofthisschemeinclude: 3.1SpecifiedRecipientGroups Theschemeallowsthecreationofsignaturegroupswhereaspecificsetofparticipantscancollectivelysignamessage.Thisflexibilityisbeneficialforscenarioswhereonlyasubsetofparticipantsisrequiredtoendorseatransaction. 3.2EfficientCommunication Theschememinimizesthenumberofcommunicationroundsrequiredforgeneratingamulti-signature.Thisisachievedbyleveragingadvancedcryptographictechniquessuchasthresholdcry

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