由一类整数矩阵方程组实现的新密码体系

数学理论与应用 ›› 2017, Vol. 37 ›› Issue (2): 60-64.

由一类整数矩阵方程组实现的新密码体系

黄贤通¹，谷田叶²，严深海³

1.赣南师范学院现代教育技术中心,赣州,341000;
2.石家庄工程职业学院基础课部,石家庄,050000;
3.赣南师范学院数学与计算机科学学院,赣州,341000

出版日期:2017-06-30 发布日期:2020-09-23
基金资助:
中央财政支持地方高校发展专项基金—应用数学创新团队建设

A New Cryptosystem Based on a Kind of Integer Matrix Equations

Huang Xiantong¹， Gu Tianye²， Yan Shenhai ³

1.Center of Modern Educational Technology,Gannan Normal University,Ganzhou 341000,China;
2.Department of Basic courses,Shijiazhuang Engineering Vocational College,Shijiazhuang,050000,China;
3.College of Mathematics &Computer Science,Gannan Normal University,Ganzhou 341000,China

Online:2017-06-30 Published:2020-09-23

摘要/Abstract

摘要： 本文基于一类整数有限域矩阵方程组的唯一解求解,结合可以实现秘密共享的Differ-Hellman协议,设计一类由整数矩阵方程组实现的新密码体系,并用数值实验验证新密码体系应用的可行性和正确性.

关键词: 有限域, 整数矩阵方程, 秘密共享协议, 密码体系

Abstract: In this paper a new cryptosystem is designed based on solving the unique solution to a kind of finite field integer matrix equations and the secret-sharing Differ-Hellman protocol.The validity and effectiveness are showed by a numerical example.

Key words: Finite field, Integer matrix equation, Secret-sharing protocol, Cryptosystem

黄贤通, 谷田叶, 严深海. 由一类整数矩阵方程组实现的新密码体系[J]. 数学理论与应用, 2017, 37(2): 60-64.

Huang Xiantong, Gu Tianye, Yan Shenhai .

A New Cryptosystem Based on a Kind of Integer Matrix Equations [J]. Mathematical Theory and Applications, 2017, 37(2): 60-64.