03-04【 Tuvi Etzion】新楼308 图论组合系列报告

发布者:卢珊珊发布时间:2026-03-01浏览次数:10

报告题目:Perfect Codes in the Johnson Scheme


报告人: Tuvi Etzion,  Technion-Israel Institute of Technology, Haifa, Israel


报告时间:4th March, Wednesday, 10:00-11:00am


报告地点:数院新楼308


摘要:


The existence of perfect codes in the Johnson scheme is a fundamental coding unsolved problem that was initiated by Delsarte in 1973. We will show how to use Steiner systems and configuration distribution (akin to the weight distribution) to show parameters for which perfect codes cannnot exist. Two fundamental directions on the existence of such codes are described and it is believed that there can be progress in these two directions.