基于几何方法的门限秘密共享方案

Threshold Secret Sharing Scheme Based on Geometric Method

基于圆的几何特性,利用"已知t-1维空间的圆上t个不同点,可以唯一确定这个圆的方程"的数学原理,提出一种新的门限密码方案。该方案计算简单,具有较高的安全性,而且可以在最多t-1个用户影子不变的情况下,修改共享的秘密。

By utilizing the property of circle that t points given on the same t-1 dimensional circle can determine its formula uniquely,a geometry-based threshold scheme is designed in this paper.It is simple but has high security.It can change sharing secret and keep at most t-1 users shadow unchanged.