报告题目 (Title)：预设自同构下线性码的非零重量（On the Weights of Linear Codes with Prescribed Automorphisms）

报告人 (Speaker)： 罗高骏 副研究员（南京航空航天大学大学）

报告时间 (Time)：2024年11月15日(周五) 9:00

报告地点 (Place)：腾讯会议 509-150-895

邀请人(Inviter)：丁洋

主办部门：理学院数学系

报告摘要：The number of nonzero weights of a linear code is essential in coding theory as it unveils salient properties of the code, such as its covering radius. In this paper, we establish two upper bounds on the number of nonzero weights of a linear code with prescribed automorphism. Our bounds are applicable for almost all linear codes and tighter than previously known bounds. Examples confirm that our bounds are sharp on numerous occasions. In addition, we give an infinite family of linear codes that attain our bounds with equality.