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On two classes of primitive BCH codes and some related codes-李成举 副教授

作者:   来源:  时间:2020-09-23

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:数学科学学院、交叉科学研究院

 

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