Constructions of self-orthogonal codes from hulls of BCH codes and their parameters

发布时间：2021-09-02 作者：浏览次数：

Speaker:	李成举	DateTime:	2021年9月3日（周五）上午10:00-11:00
Brief Introduction to Speaker: 李成举，华东师范大学教授。		Place:	腾讯会议（会议号请联系刘宏伟老师）
Abstract:In this talk, we will employ the defining sets of cyclic codes to present two general characterizations of the hulls that have dimension $k-1$ or $k^\perp-1$, where $k^\perp$ is the dimension of the dual code $\mathcal C^\perp$. Several sufficient and necessary conditions for primitive and projective BCH codes to have $(k-1)$-dimensional (or $(k^\perp-1)$-dimensional) hulls are also developed by presenting lower and upper bounds on their designed distances. Furthermore, several classes of self-orthogonal codes are proposed via the hulls of BCH codes and their parameters are also investigated.