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编码密码学术活动月系列活动一

发布日期:2020-09-22点击量:

报告题目:A new sieve for multisets counting and its applications

报告人: 李吉有 副教授 (上海交通大学)

报告时间:2020年9月23日 下午14:00-15:00

报告摘要:In this talk, we will present a new sieve formula for restricted multisets counting. It generalizes a distinct coordinates sieve formula discovered by the speaker and Professor Daqing Wan in 2010. We will also introduce its applications in combinatorics and number theory. This is joint work with Dr. Xiang Yu.


报告题目: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)

报告时间:2020年9月23日 下午15:00-16:00

报告摘要: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.


腾讯会议号:889 768 500

联系人:张俊

主办单位:首都师范大学数学科学学院、万博体育max手机登陆app-手机版下载