基于半模作用问题的密钥协商方案  

Key Agreement Scheme Based on Semi-Module Action Problem

作　　者：徐婷 黄华伟 孔维莎 XU Ting;HUANG Huawei;KONG Weisha(College of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《长江信息通信》2024年第12期1-6,共6页Changjiang Information & Communications

基　　金：国家自然科学基金资助项目(61462016);贵州省科学技术基金资助项目(黔科合基础-ZK[2021]一般313号)。

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。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 deficiencies of current tropical semiring key agreement protocols.Since the tropical circulant matrix multiple cyclic exponentiation problem is a type of semigroup constructive membership problems,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 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]