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基于半模作用问题的密钥协商方案

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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.
Key Agreement Scheme Based on Semi-Module Action Problem
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.

public-key cryptographytropical algebrasemi-module actioncirculant matriceskey agreement scheme

徐婷、黄华伟、孔维莎

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贵州师范大学数学科学学院,贵州贵阳 550025

公钥密码 热带代数 半模作用 循环矩阵 密钥协商方案

2024

长江信息通信
湖北通信服务公司

长江信息通信

影响因子:0.338
ISSN:2096-9759
年,卷(期):2024.37(12)