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数苑经纬讲坛(82):Maximum Weight Spectrum Codes

发布时间:2026-05-08 作者: 浏览次数:6

报告人:Thomas Honold安徽大学

报告时间:2026年5月8日(周五)下午17:00 - 18:00

报告地点国交二号楼315会议室

报告摘要:A linear code over a finite field or ring R is called a maximum weight spectrum (MWS) code if it has the maximum number $s$ of distinct (nonzero) weights among all linear codes of a fixed module type. The underlying weight function is usually taken as the Hamming weight if R is a finite field and as the homogeneous weight if R is a finite chain ring. In these cases $s$ has been determined completely. In my talk I will explain these facts and also discuss recent surprising results about the smallest possible lengths of MWS codes.