云亭数学讲坛2022第85讲—— 衡子灵副教授

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应学院邀请,长安大学衡子灵副教授将在线作学术报告。

报告题目:New infinite families of near MDS codes holding t-designs

报告摘要:In “Infinite families of near MDS codes holding t-designs, IEEE Trans. Inform. Theory, 2020, 66(9), pp. 5419-5428”, Ding and Tang made a breakthrough in constructing the first two infinite families of NMDS codes holding 2-designs or 3-designs. Up to now, there are only a few known infinite families of NMDS codes holding t-designs in the literature. The objective of this talk is to construct new infinite families of NMDS codes holding t-designs. We determine the weight enumerators of the NMDS codes and prove that the NMDS codes hold 2-deigns or 3-designs. Compared with known t-designs from NMDS codes, ours have different parameters. Besides, several infinite families of optimal locally recoverable codes are also derived via the NMDS codes.

报告时间:2022111516:30

报告地点:腾讯会议号196 722 571

邀 请 人:杜小妮 教授

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报告人简介

 衡子灵,男,20173月博士毕业于南京航空航天大学,20177-20186月在香港科技大学做博士后,现为长安大学副教授、硕士生导师、“长安学者”青年学术骨干。主要研究代数编码,已在国际期刊IEEE TIT, DCC, FFA, CCDS等发表SCI论文30篇。主持国家自然科学基金青年、面上项目,陕西省自然科学基金,陕西省高校科协青年人才托举项目等。部分研究成果获得陕西省自然科学优秀学术论文奖、陕西省数学会青年教师优秀论文奖等奖励。