报告时间：2022年8月15日（星期一） 11:00-12:00

报告地点：翡翠科教楼B座1710室

报 告 人：李成举 教授

工作单位：华东师范大学

举办单位：数学学院

报告简介：

A BCH code of length $n$ over $\mathbb{F}_q$ is always relative to an $n$-th primitive root of unity $\beta$ in an extension field of $\mathbb{F}_q$, and is called a dually-BCH code if its dual is also a BCH code relative to the same $\beta$.

In this talk, we will give sufficient and necessary conditions in terms of the designed distances $\delta$ to ensure that BCH codes are dually-BCH codes for primitive narrow-sense BCH codes and projective narrow-sense ternary BCH codes. In addition, the parameters of these BCH codes and their dual codes are investigated. The question as to what subclasses of cyclic codes are BCH codes is also answered to some extent. As a byproduct, the parameters of some subclasses of cyclic codes are also investigated.

报告人简介：

李成举，理学博士，华东师范大学教授，博士生导师，美国数学会《数学评论》评论员。2014年在南京航空航天大学获得博士学位，曾在香港、韩国、新加坡、法国做博士后或访问学者。2016年9月至今在华东师范大学工作，研究方向为编码密码及应用相关课题，迄今以第一或通信作者在IEEE TIT、DCC、FFA等编码密码权威期刊发表论文37篇，含ESI高被引论文1篇。主持国家自然科学基金2项，入选上海市启明星计划和晨光计划。