汇报标题 (Title)：预设自同构下线性码的非零沉量（On the Weights of Linear Codes with Prescribed Automorphisms）
汇报人 (Speaker)： 罗高骏 副钻研员（漯河航空航天大学大学）
汇报功夫 (Time)：2024年11月15日(周五) 9:00
汇报地址 (Place)：腾讯会议 509-150-895
约请人(Inviter)：丁洋
主办部门：理学院数学系
汇报提要：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.
