Abstract: In order to deal with the problems of GE Lina and TANG Shaohua’s secret sharing scheme （GT scheme），this paper proposes a verifiable and dynamic threshold secret sharing scheme based on RSA cryptographic system and intractability of discrete logarithm.This scheme is able to verify whether all participants are honest and every participant is also able to check whether others’ secret shares are valid as well as the other properties of GT scheme，which enhance the possibility of reconstructions’ success and the scheme’s efficiency，therefore，the scheme is highly security and practicality.

Key words: dynamic secret sharing, RSA cryptosystem, discrete-logarithm, verification, cheat

摘要： 针对葛丽娜和唐韶华（简称GT方案）的秘密共享方案存在的缺陷，基于RSA密码体制和离散对数问题，提出了一个具有可验证性的动态门限秘密共享方案。在实现过程中，该方案既保留了GT方案的性质，又能及时检测和识别秘密恢复者对参与者以及参与者之间的欺诈，从而提高了重构秘密的成功率和方案的效率，有较高的安全性和实用性。

关键词: 动态的秘密共享, RSA密码体制, 离散对数, 可验证性, 欺诈