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arXiv · 2009.06298

MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes

Daitao Huang·Qin Yue·Yongfeng Niu·Xia Li
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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.

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Daitao Huang, Qin Yue, Yongfeng Niu, Xia Li. 2020-09-14. MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes. https://arxiv.org/abs/2009.06298

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