基于半模作用问题的密钥协商方案
Key Agreement Scheme Based on Semi-Module Action Problem
徐婷 1黄华伟 1孔维莎1
作者信息
- 1. 贵州师范大学数学科学学院,贵州贵阳 550025
- 折叠
摘要
文章提出一类新的半模作用问题,即热带循环矩阵多重循环指数问题,并基于该困难问题设计了 MTI型密钥协商方案.研究分析表明,方案具备抵御Burmester攻击、重放攻击和并行会话攻击的能力,弥补了 目前热带半环密钥协商协议的不足.由于热带循环矩阵多重循环指数问题是一类半群构造性成员问题,该方案还具有抗量子攻击的特点.
Abstract
The paper proposes a new type of semi-module problem,namely the tropical circulant matrix multiple cyclic exponentiation problem,and designs an MTI-based key agreement scheme based on this hard problem.Research analysis shows that the scheme possesses the ability to resist Burmester attacks,replay attacks,and parallel session attacks,thereby compensating for the defi-ciencies of current tropical semiring key agreement protocols.Since the tropical circulant matrix multiple cyclic exponentiation problem is a type of semigroup constructive membership prob-lems,this scheme also exhibits the characteristic of resisting quantum attacks.
关键词
公钥密码/热带代数/半模作用/循环矩阵/密钥协商方案Key words
public-key cryptography/tropical algebra/semi-module action/circulant matrices/key agreement scheme引用本文复制引用
出版年
2024
NETL
NSTL
万方数据