Self-dual twisted generalized Reed-Solomon codes
Information Theory
2022-09-07 v2 math.IT
Abstract
In this paper, by using some properties for linear algebra methods, the parity-check matrices for twisted generalized Reed-Solomon codes with any given hook and twist are presented, and then a sufficient and necessary condition for the twisted generalized Reed-Solomon code with to be self-dual is given. Furthermore, several classes of self-dual codes with small Singleton defect are constructed based on twisted generalized Reed-Solomon codes, especially some of these self-dual codes are MDS or NMDS.
Cite
@article{arxiv.2111.11901,
title = {Self-dual twisted generalized Reed-Solomon codes},
author = {Canze Zhu and Qunying Liao},
journal= {arXiv preprint arXiv:2111.11901},
year = {2022}
}