A publicly verifiable secret sharing scheme with information-theoretic security

Abstract

Based on information-theoretic hiding commitment scheme and zero-knowledge proof of knowledge,a publicly verifiable secret sharing(PVSS) scheme was constructed.In this scheme,any party could verify the validity of participants' shares in the distribution protocol.Only the receiver could verify validity of these shares gained from the other participants in the reconstruction protocol.This PVSS scheme with information-theoretic security has demostrated that it is more applicable in some cases than any verifiable secrete sharing scheme.