报告题目：Group divisible designs with block size 4 and group sizes 4 and 10 and some other 4-GDDs

报告人：王长远

会议时间：2024年12月4日（周三）14:00-15:00

会议地点：豁然楼A510会议室

内容简介：

We consider the existence of group divisible designs (GDDs) with block size 4 and group sizes 4 and 10. We show that a 4-GDD of type 4^t10^s exists when the necessary conditions are satisfied, except possibly for a finite number of cases with 4t+10s ≤ 178. We also give some new examples of 4-GDDs for which the number of points is 51, 54 or some value less than or equal to 50.

                                          数学与统计学院

                                          2024年12月3日