双群体门限秘密共享方案的一种几何设计  

A GEOMETRIC DESIGN OF THRESHOLD SECRET SHARING SCHEME ON DUAL COLONIES

作　　者：李滨[1] 

机构地区：[1]成都师范学院数学系,四川成都611130

出　　处：《计算机应用与软件》2016年第4期314-318,共5页Computer Applications and Software

基　　金：四川省科研基金项目(12ZB276)

摘　　要：针对目前已公开的门限秘密共享方案大多是单群体门限方案的问题,引入双群体秘密共享的概念,结合多维空间解析几何和密码学理论,提出一个双群体门限秘密共享方案。其方法是引入双变量函数和坐标函数计算子密钥的导出点,并通过两个不平行的超平面的法线交点来重构主密钥。结果表明,该门限方案是理想的,既能实现参与者的动态加入与退出以及门限值的改变,又能实现多个秘密共享,还能灵活地更新主密钥。其中每个参与者始终只需掌握一个不变的子密钥即可,管理和使用都比较方便。方案能有效地检测和识别庄家D对参与者以及参与者之间的欺骗行为,以确保重构的主密钥是安全和可靠的。Most of current disclosed threshold secret sharing schemes are regarding the single colony. In light of this issue,we introduced the concept of secret sharing for dual colonies. In combination with hyperspace analytic geometry and cryptography,we proposed a threshold secret sharing scheme on dual colonies. The approach is that to introduce the bivariate function and coordinate function to calculate the derived points of sub-key and then to reconstruct the master key through the normal intersection point of two unparallel hyperplanes. Result showed that this threshold scheme is ideal,it can realise not only the dynamic join or exit of the participants and the change of threshold,but also the sharing of multiple secrets,as well as the flexible update of master key. In the scheme,every participant only has the need to hold an unvaried sub-key always,thus it is convenient in management and use. This scheme can effectively detect and identify the frauds the maker D imposed on participants and among the participants so as to guarantee that the reconstructed master key is secure and trustworthy.

关 键 词：门限秘密共享 双群体 多维超平面 离散对数 参数曲面 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]