摘要
循环MDS矩阵不仅在编码理论中很重要,而且在密码学中有许多应用.本文基于有限域上的2-准循环码的理论,给出了有限域上循环MDS矩阵的新构造.最后构造了奇特性有限域上的一类循环对合MDS矩阵.
Circulant MDS matrices are not only important in coding theory but also have many applications in cryptograph.Based on the theory of 2-quasi cyclic codes over finite fields,this paper presents a new construction of circulant MDS matrices over finite field and constructed a class of circulant involutory MDS matrices over finite fields of odd characteristic.
作者
孙春雨
陈博聪
Sun Chunyu;Chen Bocong(School of Mathematics,South China University of Technology,Guangzhou 510641,China)
出处
《洛阳师范学院学报》
2022年第2期13-16,共4页
Journal of Luoyang Normal University
基金
国家自然科学基金资助项目(11971175)。
