Abstract: A periodically renewed（t,n） threshold multi-secret sharing scheme is proposed.In the scheme many secrets can be shared once.Each participant’s sub-secret is produced by the participant himself and can be renewed periodically.A secure channel between the dealer and the participant is unnecessary.The scheme can prevent both the dealer and the participant from cheating effectively，in the same time it can be against attacks.The scheme has better security and practicability.

Key words: secret sharing, periodically renewed, security, cheating-immune, （t, n） threshold

摘要： 提出了一种可定期更新的（t,n）门限多秘密共享方案。该方案一次可共享多个秘密。参与者的子秘密由参与者自己生成，并且子秘密可定期得到更新。分发者与参与者之间不需要维护安全信道。方案可有效地防止分发者和参与者的欺诈行为，同时可抵抗外界攻击。该方案具有较好的安全性和实用性。

关键词: 秘密共享, 定期更新, 安全性, 防欺诈, （t, n）门限