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arXiv 2111.08352cs.ITmath.IT
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特征为2的有限域上对合MDS矩阵的异序个数

On The Number of Different Entries in Involutory MDS Matrices over Finite Fields of Characteristic Two

Muhammad Afifurrahman

摘要:

一个好的MDS矩阵的许多标准中的两个是对合的和具有很少的不同元素。本文研究特征为2的有限域上1、2、3、4阶对合MDS矩阵的不同元素个数。特征为2的有限域上的三阶和四阶对合MDS矩阵至少有三个和四个不同的元素。

英文摘要:

Two of many criteria of a good MDS matrix are being involutory and having few different elements. This paper investigates the number of different entries in an involutory MDS matrices of order 1, 2, 3, and 4 over finite fields of characteristic two. There are at least three and four different elements in an involutory MDS matrices with, respectively, order three and four, over finite fields of characteristic two.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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