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.
