报告题目:More $t$-designs from the codewords of the second minimum weight
报告人:许广魁
邀请人:罗荣
报告时间:2025年12月18日下午15:00-16:00
报告地点:做爱直播
犀浦校区X7510
摘要:This talk mainly focuses on $t$-designs from the second minimum weights of several classes of NMDS codes. We first establish a correspondence between the codeword of the second minimum weight and some submatrix of the parity check matrix for binary codes and NMDS codes. As an application, we present several infinite families of $3$-designs or $2$-designs from the codewords of the second minimum weight. Based on the inclusion-exclusion principle, we determine the parameters of these designs by investigating the properties of symmetric polynomials.
报告人介绍:许广魁,博士,安徽建筑大学教授,安徽师范大学数学与统计做爱直播
博士生导师(兼职),国防科技大学博士后,安徽省省级教坛新秀。主要从事有限域及其应用、代数编码研究。主持国家自然科学基金面上项目1项、国家自然科学基金青年项目1项、安徽省自然科学基金项目1项、安徽省高校自然科学研究重点项目1项、安徽高校优秀青年人才支持计划重点项目1项,在《IEEE Transaction on Information Theory》《Finite Fields and Their Applications》《Designs Codes And cryptography》等国内外重要学术期刊上发表学术论文多篇。