论文标题
$（+）$ - 扩展扭曲的广义芦苇固体代码
The $(+)$-extended twisted generalized Reed-Solomon code
论文作者
论文摘要
在本文中，我们给出了$（+）$ - 扩展扭曲的广义芦苇所罗门（简而言之，ETGRS）代码的均等检查矩阵，然后不仅证明它是MDS或NMD，而且还确定重量分布。特别是，基于Schur方法，我们表明$（+）$ - ETGRS代码不是GRS或EGRS。此外，我们为$（+）$ - etgrs代码的任何刺穿代码提供了足够且必要的条件，以使其具有自动性，然后构建几类自dual $（+）$ - TGRS代码和几乎是自dual $（+）$（+）$ - ETGRS代码。
In this paper, we give a parity check matrix for the $(+)$-extended twisted generalized Reed Solomon (in short, ETGRS) code, and then not only prove that it is MDS or NMDS, but also determine the weight distribution. Especially, based on Schur method, we show that the $(+)$-ETGRS code is not GRS or EGRS. Furthermore, we present a sufficient and necessary condition for any punctured code of the $(+)$-ETGRS code to be self-orthogonal, and then construct several classes of self-dual $(+)$-TGRS codes and almost self-dual $(+)$-ETGRS codes.
