关键词: 主动秘密共享, 多秘密, 离散对数

Abstract: Proactive secret sharing scheme is a method of sharing a secret，where secret shadows are periodically renewed without changing the secret.Xu et al.a proposed secret sharing scheme with periodic renewing to identify cheaters.In their scheme，only one secret can be shared in every secret sharing process.This paper presents a proactive multi-secret sharing scheme based on Xu’s scheme and YCH（C C Yang，T Y Chang and M S Hwang） multi-secret sharing scheme.In the scheme，secret shadows can be periodically renewed without changing the secrets and several secrets can be shared during one secret sharing process.In additional，each participant can verify the shadows that other participants’ pool.Its security is based on the security of Shamir’s threshold scheme and the intractability of discrete logarithm problem.

Key words: proactive secret sharing, multi-secret, discrete logarithm