A verifiable multi-secret sharing scheme based on LUC cryptosystem

A verifiable multi-secret sharing scheme based on LUC cryptosystem is proposed. Different from others's multi-secret sharing schemes, in the recovery phase of our scheme. only the secret that we need can be recovered, while the other secret is unknown completely. With analyzing, we find our scheme has many other secure characters, such as, perfectness, verifiablity, flexibility, optimal information ratio, low computational complexity.