Abstract: In order to prevent sub-secret transmitting in public channel, this paper proposes a secret sharing scheme based on intractability of discrete logarithm and commutativity of modular exponentiation. Results prove that participants choose their own private keys by themselves, they avoid cheating of dealer, decrease the computational cost of dealer and ensure the reusability of this scheme, moreover trusted participant may join or leave the group to ensure the dynamic of this scheme.

Key words: cryptology, secret sharing, discrete logarithm, commutativity

摘要： 为防止子秘密在公开信道中传输，基于离散对数的难解性和模指数函数的可交换性，提出一种秘密共享方案。结果证明，参与者自己选取私钥可避免分发者的欺诈，降低分发者的负担，保证该方案的可重用，可信参与者可随时加入或退出参与者集合，确保该方案的动态性。

关键词: 密码学, 秘密共享, 离散对数, 可交换性

CLC Number: 

• TP309