Abstract: 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.

Key words: secret sharing, threshold scheme, geometric method

摘要： 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。

关键词: 秘密共享, 门限方案, 几何方法

CLC Number: 

• TP309