Secure Multiparty Computation of Set Intersection and Union
Secure multiparty computation of sets is one of the most important problems in confidential scientific computing re-search,which has significant applications in electronic election,threshold signature,and confidential auction.This paper mainly studies secure set operations for multiple parties.Corresponding coding methods are proposed for different set operations to transform sets into vectors,and then these vectors are divided in pairs and encoded by Gödel coding.Combined with the ElGamal threshold encryption algorithm with homomorphism,several secure computing protocols for set intersection and union operations are designed in the semi-honest model.These protocols can resist any collusive attack of arbitrary parties and the simulation para-digm is used to prove that these proposed protocols are secure in the semi-honest model.The protocols'efficiency is verified by experiments.When the cardinality of set meets certain conditions,the proposed protocols have higher computational efficiency compared with the existing schemes.
Secure multiparty computationSet intersection and unionElGamal encryption algorithmSemi-honest modelSimula-tion paradigm