嘉应学院学报2024,Vol.42Issue(3) :1-8.

基于热带LP矩阵双边作用问题的混合加密方案

Hybrid Encryption Scheme Based on Two-sided Action Problem of Tropical LP Matrix

潘戈洋 黄华伟 姜鑫
嘉应学院学报2024,Vol.42Issue(3) :1-8.

基于热带LP矩阵双边作用问题的混合加密方案

Hybrid Encryption Scheme Based on Two-sided Action Problem of Tropical LP Matrix

潘戈洋 1黄华伟 1姜鑫1
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作者信息

  • 1. 贵州师范大学 数学科学学院,贵阳 550025
  • 折叠

摘要

近年来,随着量子计算机的发展,当前广泛使用的公钥密码体制面临严峻挑战.在后量子密码时代,探索新型公钥密码体制显得尤为重要.采用热带LP矩阵双边作用问题,提出一种Oracle双边热带矩阵作用假设.根据假设,设计了一种包含对称加密、消息认证码和哈希函数的混合加密方案.方案中的双边作用问题可以归约为求解热带多项式方程组,求解该方程组是一个NP困难问题.在标准模型下该混合加密方案具有在选择密文攻击下的不可区分性.

Abstract

In recent years,with the development of quantum computers,the widely used public key cryptosystem is facing serious challenges.In the post-quantum cryptography era,it is particularly important to explore new public key cryptosystems.In this paper,the two-sided action problem of tropical LP matrix is adopted,and an Oracle two-sided action hypothesis of tropical matrix is proposed.According to the hypothesis,a hybrid encryption scheme including symmetric encryption,message authentication code and hash function is designed.The two-sided action problem in the scheme can be reduced to solving a system of tropical polynomial equations,which is a NP-hard problem.Under the standard model,the hybrid encryption scheme is indistinguishable under chosen ciphertext attacks.

关键词

公钥密码/混合加密/热带Linde-de-la/Puente矩阵/热带代数半环

Key words

public key passwords/hybrid encryption/tropical Linde-de-la Puente matrix/tropical algebraic semi-ring

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基金项目

国家自然科学基金(61462016)

贵州省科技计划(黔科合基础-ZK[2021]一般313号)

出版年

2024
嘉应学院学报
嘉应学院

嘉应学院学报

CHSSCD
影响因子:0.25
ISSN:1006-642X
参考文献量3
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