摘要： 传统秘密共享方案在防止成员间的欺诈方面存在缺陷。为此，基于线性方程组理论，提出一种新的防欺诈秘密共享方案。新方案在秘密恢复前，需要分2步对授权子集中的参与者份额进行验证，并证明了凡是通过以上2步验证的参与者一定是诚实的。分析结果表明，与其他基于向量空间的秘密共享方案相比，该方案具有更高的安全性。

关键词: 秘密共享, 访问结构, 授权子集, 向量空间, 黑盒子

Abstract: The traditional secret sharing scheme has defects in preventing cheating between participants. Based on systems of linear equations, this paper proposes a new scheme. Before the recovery phase, the new scheme needs two steps in which authorized participants shares must be verified, and it is shown that any participant who has passed the verification in these two steps must be honest. The new scheme is more safer than the other vector space secret sharing schemes.

Key words: secret sharing, access structure, authorized subset, vector space, black box

中图分类号: 

• TP309