报告名称：The linear codes of t-designs held in the Reed-Muller and Simplex codes

报告专家：唐春明

专家所在单位：西华师范大学

报告时间：2021年12月1日下午

报告地点：数学与统计学学院201学术报告厅

专家简介：唐春明，男，博士，西华师范大学数学与信息学院研究员, 2021年度布尔奖（George Boole Prize）的杰出青年学者奖获得者。博士毕业于北京大学，先后在巴黎第八大学和香港科技大学从事研究工作。主要研究包括密码、编码及其相关的数学理论。获教育部自然科学二等奖一项，主持国家级和省部级项目多项，在国内外重要学术期刊如《IEEE Transactions on Information Theory》《Finite Fields and Their Applications 》《Designs, Codes and Cryptography 》与《Science China》等发表六十多篇论文。目前担任编码与通信领域国际学术期刊《Cryptography and Communications》与《Advances in Mathematics of Communications》等的编委。

报告摘要：A fascinating topic of combinatorics is t-designs, which have a very long history. The incidence matrix of a t-design generates a linear code over GF(q) for any prime power q, which is called the linear code of the t-design over GF(q). On the other hand, some linear codes hold t-designs for some t ≥ 1. In this talk, we will study the linear codes of some t-designs held in the Reed-Muller and Simplex codes. Some general theory for the linear codes of t-designs held in linear codes and open problems will be presented.

邀请人：曾祥勇

（审核：郑大彬）