基于Lagrange多项式秘密共享技术研究

Research of the Technology of Sharing Secret Based on Lagrange Polynomial

从Lagrange多项式的构造,系数和未知数的取值,Lagrange因子的计算方法和如何恢复常数项等问题出发,详细讨论了秘密的分发和恢复过程,通过仿真实验实现了一个(3,5)门限可视秘密共享方案,实验结果表明:该方法可使每个参与者对自己的子秘密及其他成员出示的子秘密进行验证。而不泄露子秘密信息,有效地阻止了外部攻击者对子秘密的窃取及内部参与者之间的互相欺诈,并可进一步推广到彩色空间,使其具有更广泛的实用价值和应用前景。

This paper discusses the process of secret distribution and recovery based on the construction of Lagrange interpolating polynomial,values of coefficient and unknown,calculation method of Lagrange factor and how to recover constant.A(3,5)threshold visual secret sharing scheme is realized through simulation experi- ments.Experiment results show that the method can make every participant verify secret shadows of his own and others without disclosing the secret shadow,and can prevent outside attackers from get...