题目：On two classes of primitive BCH codes and some related codes

报告人：李成举 副教授（华东师范大学）

Abstract：

In this talk, we determine the weight distributions of two classes of primitive BCH codes $/mathcal C_{(q, m, /delta_2)}$ and $/mathcal C_{(q, m, /delta_3)}$ and their extended codes, which solve two problems proposed by Ding, Fan, and Zhou. It is shown that the extended codes $/overline{/mathcal C}_{(q, m, /delta_2)}$ have four nonzero weights. We also employ the Hartmann-Tzeng bound to present the minimum distance of the dual code $/mathcal C_{(q, m, /delta_2)}^/perp$ for $q /ge 5$. Inspired by the idea, we then determine the dimensions of a class of cyclic codes and give lower bounds on their minimum distances, which is greatly improved comparing with the BCH bound.

This is a joint work with Peng Wu and Fengmei Liu.

时间：2020年9月23日（周三）  下午15:00-16:00

地点：线上腾讯会议（会议号：889 768 500）

联系人：张俊

主办单位：565net必赢客户端、交叉科学研究院

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