由非对称整数矩阵求解问题实现的冗余信息密码体系  

On the Design for the Redundancy Information Cryptosystem by Solving the Non-symmetric matrix based on the Finite Field Integer Matrix Equation

作　　者：黄贤通[1] 严深海[1] 

机构地区：[1]赣南师范学院数学与计算机科学学院,江西赣州341000

出　　处：《广西民族大学学报（自然科学版）》2014年第1期66-69,共4页Journal of Guangxi Minzu University ：Natural Science Edition

基　　金：国家科技支撑计划课题(2009BAI78B01);江西省自然科学基金资助(2009GZS0004)

摘　　要：基于整数有限域矩阵方程求解两类非对称矩阵,得到了唯一解的充要条件和解的递推计算式,结合Diffie-Hellman密钥交换协议设计了一种由通信三方(组织者、发送方、接受方)共同参与的冗余信息密码体系,数值实验验证了设计方案的可行性和正确性.The unique solutions for solving the two kind of non-symmetric matrix based on the integer matrix equation were shown. A kind of the redundancy information Cryptosystem was design for the organiz- ers,sender and receiver, based on the finite field integer matrix equation and the Diffie-Hellman protocol which can share secret. The successful numerical experiments were given for the eneryption and decryption.

关 键 词：有限域 矩阵方程 非对称整数矩阵 DIFFIE-HELLMAN协议 密码体系 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]