MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes
Information Theory
2020-09-15 v1 math.IT
Abstract
Self-dual maximum distance separable codes (self-dual MDS codes) and self-dual near MDS codes are very important in coding theory and practice. Thus, it is interesting to construct self-dual MDS or self-dual near MDS codes. In this paper, we not only give check matrices of dual codes of twisted generalized Reed-Solomon codes (TGRS codes) but also present the efficient and necessary condition of self-dual TGRS codes. Moreover, we construct several classes of self-dual MDS or self-dual near MDS codes from TGRS codes.
Cite
@article{arxiv.2009.06298,
title = {MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes},
author = {Daitao Huang and Qin Yue and Yongfeng Niu and Xia Li},
journal= {arXiv preprint arXiv:2009.06298},
year = {2020}
}
Comments
14 pages