论文标题
MDS或NMD的自偶代码来自扭曲的广义芦苇 - 固体代码
MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes
论文作者
论文摘要
自我双重的最大距离可分离代码（自偶二重要的MDS代码）和MDS代码附近的自duals代码在编码理论和实践中非常重要。因此，构建自动偶数MD或MDS代码附近的自动偶数很有趣。在本文中，我们不仅给出了扭曲的广义芦苇 - 固体代码（TGRS代码）的双重代码的检查矩阵，而且还提供了自dual TGRS代码的有效和必要条件。此外，我们从TGRS代码中构建了几类的自动划分MD或MDS代码的自我偶数。
Self-dual maximum distance separable codes (self-dual MDS codes) and self-dual near MDS codes are very important in coding theory and practice. Thus, it is interesting to construct self-dual MDS or self-dual near MDS codes. In this paper, we not only give check matrices of dual codes of twisted generalized Reed-Solomon codes (TGRS codes) but also present the efficient and necessary condition of self-dual TGRS codes. Moreover, we construct several classes of self-dual MDS or self-dual near MDS codes from TGRS codes.
