自可逆矩阵在Hill密码算法中的应用  

The application of self-invertible matrix in Hill cipher algorithm

作　　者：杨录峰 YANG Lu-feng(School of Mathematics and Information Science,North Minzu University,Yinchuan 750021,China;Collaborative Innovation Center of Scientific Computing and Intelligent Processing in Ningxia,North Minzu University,Yinchuan 750021,China)

机构地区：[1]北方民族大学数学与信息科学学院 [2]北方民族大学宁夏科学计算与智能处理协同创新中心

出　　处：《高师理科学刊》2019年第11期13-15,共3页Journal of Science of Teachers＇College and University

基　　金：国家级特色专业——信息与计算科学建设经费资助项目

摘　　要：分别提出了自可逆矩阵作为加密密钥的改进Hill密码及仿射Hill密码算法,并给出了一种自可逆矩阵的构造方法.密钥矩阵的自可逆性避免了解密中逆矩阵的计算过程,降低了计算复杂度,并且改进的仿射Hill同样弥补了已知明文攻击的缺陷.An improved Hill cipher and an affine Hill cipher with the self invertible matrix as the encryption key are proposed respectively,and a construction method of the self invertible matrix is given.The self reversibility of the key matrix avoids the computation of the inverse matrix in decryption and reduces the computational complexity.The improved affine Hill also makes up for the shortcomings of known plaintext attacks.

关 键 词：HILL密码 自可逆矩阵 正交矩阵 仿射密码 

分 类 号：O157.4[理学—数学]