2021年11月16日学术报告——周海燕
报告题目:Deep Holes of Reed-Solomon Codes over Finite Local Rings
报告人:周海燕教授 南京师范大学
时间:2021年11月16日(周二) 14:00-15:00
地点:腾讯视频会议线上报告 (ID: 806 417 250)
报告人简介:周海燕,南京师范大学数学科学学院教授,研究领域为代数数论以及在信息安全中的应用,在国内外学术刊物Journal of Number Theory, Journal of Pure and Applied Algebra, Acta Arithmetica, Finite Fields and Their Applications等上发表了论文二十多篇,主持和参加国家自然科学基金4项,曾访问美国加州大学尔湾分校,加拿大Mcmaster大学,意大利国际理论物理中心,印度ICTS等国外高校以及学术机构。
报告内容:In this report, we propose the maximum arc problem, normal rational curve conjecture, and extensions of normal rational curves over finite local rings, analogously to the finite geometry over finite fields. We then study the deep hole problem of generalized Reed-Solomon (RS) codes over finite local rings. Several different classes of deep holes are constructed. The relationship between finite geometry and deep holes of RS codes over finite local rings are also studied.