论文标题
自动通用扭曲的芦苇 - 固体代码
Self-orthogonal generalized twisted Reed-Solomon codes
论文作者
论文摘要
在本文中，通过计算标准扭曲的芦苇 - 固体代码的Schur广场的双重代码，我们为具有$ H+T \ le K-1 $的广义扭曲的Reed-Solomon代码提供了足够和必要的条件，以使$ k $是dimension，$ h $是挂钩和$ t $ twist。然后，我们表明，在某些情况下，没有自动通用的扭曲的芦苇 - 固体代码。此外，还构建了几类自动通用扭曲的芦苇固体代码，其中一些代码是非GRS自动式MDS代码或NMDS代码。
In this paper, by calculating the dual code of the Schur square for the standard twisted Reed-Solomon code, we give a sufficient and necessary condition for the generalized twisted Reed-Solomon code with $h+t\le k-1$ to be self-orthogonal, where $k$ is dimension, $h$ is hook and $t$ is twist. And then, we show that there is no self-orthogonal generalized twisted Reed-Solomon code under some conditions. Furthermore, several classes of self-orthogonal generalized twisted Reed-Solomon codes are constructed, and some of these codes are non-GRS self-orthogonal MDS codes or NMDS codes.
