线性秘密共享体制的一般构造

计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (34): 92-94.

线性秘密共享体制的一般构造

薛婷，李志慧，宋云

陕西师范大学数学与信息科学学院，西安 710062

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-12-01 发布日期:2011-12-01

General construction of linear secret sharing scheme

XUE Ting，LI Zhihui，SONG Yun

College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-12-01 Published:2011-12-01

摘要/Abstract

摘要： 利用单调张成方案讨论了线性秘密共享体制方案的构造，给出了目标向量为e=(1,0,…,0)时任意一个接入结构所对应的单调张成方案的矩阵，并给出了相应的例子。最后利用乘性线性秘密共享体制的定义，借助diamond运算给出了判断一个线性秘密共享体制是否为乘性的充要条件。

关键词: 线性秘密共享体制, 单调张成方案, 乘性线性秘密共享体制

Abstract: This paper studies the constructions of linear secret sharing scheme by monotone span program，and gives the corresponding matrixes of monotone span program when the target vector is e=（1，0，…，0）.The examples are presented.At last，it gives a sufficient and necessary condition of deciding the multiplication of a linear secret sharing scheme.

Key words: linear secret sharing scheme, monotone span program, multiplicative linear secret sharing scheme

薛婷，李志慧，宋云. 线性秘密共享体制的一般构造[J]. 计算机工程与应用, 2011, 47(34): 92-94.

XUE Ting，LI Zhihui，SONG Yun. General construction of linear secret sharing scheme[J]. Computer Engineering and Applications, 2011, 47(34): 92-94.