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

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