Hermitian Self-Dual, MDS, and Generalized Reed–Solomon Codes
Yongfeng Niu, Qin Yue, Yansheng Wu, Liqin Hu · IEEE Communications Letters · 2019
Both self-dual codes and maximum distance separable (MDS) codes have nice algebraic structures, theoretical significance, and practical implications. We present two classes of the Hermitian self-dual, MDS, and generalized Reed–Solomon (GRS) codes. Conversely, we prove that the Hermitian self-dual, MDS, and GRS codes must be above two classes for${n =4}$and conjecture that this result also holds for each even length$ {n}$,$4\le {n}\le \text {q+1}$.