讲座时间：2025年12月8日(周一)  14:30

地点： 综合楼644会议室

报告题目：On the automorphism groups of cyclic codes

报告人简介：  

冯涛，浙江大学数学科学学院教授，博士生导师，国家优青和杰青获得者。2008年博士毕业于北京大学数学科学学院，先后在新加坡南洋理工大学、美国特拉华大学做博士后，2011年8月加入浙大数学科学学院。2021年获首届浙江大学沈善洪杰出青年提名奖。现为SCI期刊JCD和DCC编委会成员。目前主要是利用有限群论、置换群和代数数论等代数工具研究组合数学。

报告摘要： 

The study of cyclic codes has been of great interest since the origin of coding theory, and such codes have important applications in the real world. Their algebraic structures faciliate efficient encoding and decoding algorithms, and there has been extensive work on their automorphism groups. In this talk, I will report on some recent work on the determination of automorphism groups of irreducible cyclic codes. It turns out that irreducible cyclic codes are mostly standard, i.e., have no extra automorphism. The proof explores the subgroup structures of general linear groups. This is a joint work with Henk Hollmann, Weicong Li and Qing Xiang.