利用扭GRS码构造MDS和NMDS自对偶码

2023.05.05

投稿:龚惠英部门:浏览次数:

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报告题目 (Title):利用扭GRS码构造MDS和NMDS自对偶码(MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes)

报告人 (Speaker): 岳勤 教授(南京航空航天大学)

报告时间 (Time):2023年5月5日(周五) 14:00

报告地点 (Place):校本部F309

邀请人(Inviter):丁洋

主办部门:理学院数学系

报告摘要:Self-dual maximum distance separable codes (self-dual MDS codes) and self-dual near MDS (NMDS) codes are very important in coding theory and practice. Thus, it is interesting to construct self-dual MDS or self-dual NMDS codes. In this paper, we not only give parity-check matrices of dual codes of twisted generalized Reed-Solomon codes (TGRS codes) but also present a sufficient and necessary condition of self-dual TGRS codes over $\mathbb{F}_q$ with $q$ an odd prime. Moreover, we construct several classes of self-dual MDS or self-dual NMDS codes from TGRS codes.

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