网络与信息安全学报 ›› 2016, Vol. 2 ›› Issue (6): 44-53.doi: 10.11959/j.issn.2096-109x.2016.00063

• 学术论文 • 上一篇    下一篇

MDS矩阵构造方法

李鹏飞1,2,李永强1()   

  1. 1 中国科学院信息工程研究所信息安全国家重点实验室,北京 100093
    2 中国科学院大学,北京 100049
  • 修回日期:2016-05-30 出版日期:2016-06-15 发布日期:2020-03-26
  • 作者简介:李鹏飞(1991-),男,陕西渭南人,中国科学院信息工程研究所硕士生,主要研究方向为密码学。|李永强(1982-),男,吉林集安人,博士,中国科学院信息工程研究所副研究员,主要研究方向为对称密码算法关键部件的构造、对称密码算法分析。
  • 基金资助:
    国家自然科学基金资助项目(61379142);国家自然科学基金资助项目(61303255)

Construction of MDS matrices

Peng-fei LI1,2,Yong-qiang LI1()   

  1. 1 The State Key Lab of Information Security,Institute of Information Engineering,Chinese Academy of Sciences,Beijing 100093,China
    2 University of Chinese Academy of Sciences,Beijing 100049,China
  • Revised:2016-05-30 Online:2016-06-15 Published:2020-03-26
  • Supported by:
    The National Natural Science Foundation of China(61379142);The National Natural Science Foundation of China(61303255)

摘要:

针对MDS矩阵的设计策略做了综述。阐述了MDS矩阵构造中的关键问题,并对当前典型和常见MDS矩阵的构造方法从原理、实现机制等方面进行了分析和讨论。另外,调研了最近几年关于轻量级MDS矩阵的研究成果。

关键词: 分组密码, 最优扩散层, 分支数, MDS矩阵, 线性变换

Abstract:

A survey for MDS matrices design strategy was made.Design strategies and the key issues during the de-sign were elaborated,and many aspects such as principle and implementation mechanisms of some typical and common construction of MDS matrices were analyzed and discussed.In addition,the research results on lightweight MDS matrices in recent years were investigated.

Key words: block cipher, optimal diffusion layer, branch number, MDS matrix, linear transformation

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