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

摘要： 主动秘密共享机制是在保持被共享的秘密不变的情况下，定期地对各参与者的秘密份额进行更新。许春香等人提出了一种定期更新防欺诈的秘密共享方案，该方案在秘密共享过程中仅支持共享单个秘密。在许春香等人方案的基础上，结合YCH（C C Yang，T Y Chang 和M S Hwang）多秘密共享机制提出了一种主动多秘密共享方案。在方案中，秘密份额能够在不改变秘密的前提下定期进行刷新，一次秘密共享过程可以同时共享多个秘密，并且每个参与者可以对其他参与者提供的秘密份额进行验证。方案的安全性基于Shamir门限机制和离散对数问题。

关键词: 主动秘密共享, 多秘密, 离散对数