摘要
论文研究了有限域GF(2n)上Hadamard矩阵的性质,证明了Hadamard矩阵成为MDS矩阵及对合MDS矩阵的所需满足的必要条件。特别地,当矩阵阶数为4时,证明了充要条件。改进了4阶及8阶Hadamard型MDS矩阵的生成算法。
In this paper,the character of Hadamard Matrices is investigated,and the necessary condition of Hadamard matrix being MDS matrix and involution MDS matrix is given.In special,the necessary and sufficient condition for 4-order matrix are illustrated.Additionally,the generating algorithms are improved for 4-order and 8-order MDS matrix of Hadamard type.
出处
《舰船电子工程》
2014年第5期41-45,共5页
Ship Electronic Engineering