摘要： 对灰色半解生成算法进行研究，提出基于灰色半解生成的密钥分存方案。该方案只需密钥分配者随机产生一正整数集合，利用灰色半生成算法得出其半解密钥集合，并通过分配该半解集合中元素的位置来确定系统成员的秘密子密钥。引入一个简单的离散函数来构造其屏蔽子密钥和抵御成员欺骗。

关键词: 灰色半解生成, 密钥分存, 成员欺骗

Abstract: The paper makes research on grey half-generation arithmetic and puts forward a secret sharing scheme based on the grey half- generation. The scheme just requires the secret dealer find an integer muster randomly, then educes the half-generation key muster by using the grey half-generation arithmetic and ensures the shadows of the participants by distributing the elements’ position of the grey half-generation muster. Furthermore, the paper also constructs the shield shadows and against participant cheating by a simple discrete logarithm function.

Key words: grey half-generation, secret sharing, participant cheating

中图分类号: 

• TP309.7