由一种陷门单向函数构造的秘密共享方案

A Secret Sharing Scheme Based on The Trapdoor One-Way Function

本文构建了一个单向函数,并结合SHAMIR的(t,n)门限设计了一个秘密分享方案,在这个方案中,每次合成密钥的时候用户只是提供了部分的份额,攻击者和其他的用户无法通过提供的份额求出用户的份额,所以在该秘密共享方案中用户的份额可以无限次使用,而且方案便于成员的加入和删除,当某成员份额泄露时只需改变他的份额即可,无需修改其他成员的份额。层次的学生学习效率都会大大提高。

This paper develops a one-way function, combined with SHAMIR the （t, n） threshold secret sharing designed a program, in this scenario, each user only when the synthetic key part of the share offer, the attacker and the other users can not find the user by providing a share of the share, so the secret sharing scheme in the user＇s share of the unlimited use, and program members to join and easy to remove, when the share of leakage of a member＇s share can only change his no need to change the share of other members. Level will greatly improve the efficiency of student learning.