论文标题
扭曲的广义芦苇 - 固体代码及其扩展代码的非GRS属性
The non-GRS properties for the twisted generalized Reed-Solomon code and its extended code
论文作者
论文摘要
2017年，Beelen等人。首先引入了扭曲的广义芦苇 - 固体（简称TGRS）代码，并构建了大型MDS TGRS代码的子类。后来，他们证明，当代码速率少于一半时，TGRS代码是非GRS。在这封信中，基于TGRS代码或扩展TGRS代码的双重代码，通过使用Schur产品，我们证明，当代码速率超过一半时，几乎所有TGRS代码和扩展的TGRS代码都是非GRS。
In 2017, Beelen et al. firstly introduced twisted generalized Reed-Solomon (in short, TGRS) codes, and constructed a large subclass of MDS TGRS codes. Later, they proved that TGRS code is non-GRS when the code rate is less than one half. In this letter, basing on the dual code of the TGRS code or the extended TGRS code, by using the Schur product, we prove that almost all of TGRS codes and extended TGRS codes are non-GRS when the code rate more than one half.
