»ã±¨±êÌâ (Title)£ºÀûÓÃŤGRSÂë»ú¹ØMDSºÍNMDS×Ô¶ÔżÂ루MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes£©

»ã±¨ÈË (Speaker)£º ÔÀÇÚ ½ÌÊÚ£¨ÄϾ©º½¿Õº½Ìì´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê5ÔÂ5ÈÕ(ÖÜÎå) 14£º00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

Ô¼ÇëÈË(Inviter)£º¶¡Ñó

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»ã±¨ÌáÒª£ºSelf-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.