论文标题
广义扭曲的芦苇 - 固体代码和Hermitian自助偶数MD或NMDS代码的二元性
Duality of generalized twisted Reed-Solomon codes and Hermitian self-dual MDS or NMDS codes
论文作者
论文摘要
有限字段上的自动偶数MD和NMDS代码是具有重要组合和加密应用的线性代码。在本文中，首先，我们研究了某些特殊情况下，我们研究了广义扭曲的芦苇 - 固体（缩写GTR）代码的双重性能。在接下来的内容中，提出了一种新的系统方法来绘制Hermitian自偶（+）-GTRS代码。介绍了Hermitian自偶（+） - GTRS代码的必要条件。使用此方法，构建了几类Hermitian自助MD和NMDS代码。
Self-dual MDS and NMDS codes over finite fields are linear codes with significant combinatorial and cryptographic applications. In this paper, firstly, we investigate the duality properties of generalized twisted Reed-Solomon (abbreviated GTRS) codes in some special cases. In what follows, a new systematic approach is proposed to draw Hermitian self-dual (+)-GTRS codes. The necessary and sufficient conditions of a Hermitian self-dual (+)-GTRS code are presented.With this method, several classes of Hermitian self-dual MDS and NMDS codes are constructed.
