Scholarlink

<p>Twisted generalized Reed–Solomon (TGRS) codes as a generalization of generalized Reed–Solomon (GRS) codes have attracted a lot of attention from many researchers in recent years. In this paper, we investigate the conditions for the equality of two classes of TGRS codes with different parameters. Moreover, we construct the permutation automorphism groups of two classes of TGRS codes and show they are quasi-cyclic codes. Finally, building upon the Berlekamp–Massey algorithm for GRS codes, we show a decoding scheme for a class of MDS TGRS codes.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Coding properties and automorphism groups of two classes of twisted generalized Reed–Solomon codes

  • 期刊论文

  • 发表日期：

    2025年4月19日

查看全文
  • Xue Jia,
  • Qin Yue,
  • Huan Sun

摘要

Twisted generalized Reed–Solomon (TGRS) codes as a generalization of generalized Reed–Solomon (GRS) codes have attracted a lot of attention from many researchers in recent years. In this paper, we investigate the conditions for the equality of two classes of TGRS codes with different parameters. Moreover, we construct the permutation automorphism groups of two classes of TGRS codes and show they are quasi-cyclic codes. Finally, building upon the Berlekamp–Massey algorithm for GRS codes, we show a decoding scheme for a class of MDS TGRS codes.