應學院邀請,長安大學衡子靈副教授将在線作學術報告。
報告題目:New infinite families of near MDS codes holding t-designs
報告摘要: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.
報告時間:2022年11月15日16:30
報告地點:騰訊會議号196 722 571
邀 請 人:杜小妮 教授
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報告人簡介
衡子靈,男,2017年3月博士畢業于南京航空航天大學,2017年7月-2018年6月在香港科技大學做博士後,現為長安大學副教授、碩士生導師、“長安學者”青年學術骨幹。主要研究代數編碼,已在國際期刊IEEE TIT, DCC, FFA, CCDS等發表SCI論文30篇。主持國家自然科學基金青年、面上項目,陝西省自然科學基金,陝西省高校科協青年人才托舉項目等。部分研究成果獲得陝西省自然科學優秀學術論文獎、陝西省數學會青年教師優秀論文獎等獎勵。