Abstract: This paper proposes a new dynamic threshold multi-secret sharing scheme.In the scheme，each participant’s secret shadow is selected by the participant himself and the shadows don’t need to change when the shared secret is renewed，and many secrets can be shared once.In the recovery phase，each participant can check whether another participant provides the true information，so a secure channel between them is unnecessary.The shadows do not need to be changed when the shared secret is renewed.Old participants are deleted or new participants are added.Analyses show that this scheme is computationally secure and practical.

Key words: dynamic secret sharing, multi-secret sharing, RSA cryptosystem, security

摘要： 提出一个动态多重秘密共享方案，参与者的秘密份额由参与者自己选定，每个参与者只需维护一个秘密份额就可以实现对任意多个秘密的共享，并且一次可以共享多个秘密。在秘密恢复过程中，每个参与者都可以验证其他合作者是否存在欺诈行为；在参与者间不需要安全信道；当秘密更新、参与者加入或退出系统时，各参与者的份额无需更新。分析表明，该方案是一个安全、实用的秘密共享方案。

关键词: 动态秘密共享, 多重秘密共享, RSA密码体制, 安全