论文标题
在带有l扭曲的扭曲的广义芦苇 - 固体代码上
On twisted generalized Reed-Solomon codes with l twists
论文作者
论文摘要
在本文中，我们研究了一类带有一般性曲折的扭曲的广义芦苇溶解（TGRS）代码。确定TGRS代码为MDS或L-MD（L <K和L <N-K）的足够且必要的条件。还提出了这种TGRS代码是3L <k-1的自载的充分和必要条件。最后，我们给出了自dual TGRS代码的明确构造。并给出了小l的自dual MDS TGRS代码的示例。
In this paper, we study a class of twisted generalized Reed-Solomon (TGRS) codes with general l twists. A sufficient and necessary condition for the TGRS codes to be MDS or l-MDS (l<k and l<n-k) is determined. A sufficient and necessary condition that such a TGRS code is self-dual for 3l<k-1 is also presented. Finally, we give an explicit construction of self-dual TGRS codes. And examples of self-dual MDS TGRS codes for small l are given.
