Infinite families of 2-designs derived from linear codes

发布时间：2021-09-02 作者：浏览次数：

Speaker:	杜小妮	DateTime:	2021年09月3日（周五）上午9:00-10:00
Brief Introduction to Speaker: 杜小妮，西北师范大学教授。		Place:	腾讯会议（会议号请联系刘宏伟老师）
Abstract:It is generally known that t-designs can be used to derive linear codes over any finite field, and that the supports of all codewords with a fixed weight in a code also may hold a t-design. We first construct a class of linear codes from cyclic codes and determine the weight distribution of the linear codes. Then, we obtain infinite families of 2-designs from the supports of all the codewords with a fixed weight in these codes. Furthermore, the parameters of 2-designs are calculated explicitly.