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arXiv · 2309.12823

Group divisible designs with block size 4 and group sizes 4 and 7

R. Julian R. Abel·Thomas Britz·Yudhistira A. Bunjamin·Diana Combe
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Abstract

In this paper, we consider the existence of group divisible designs (GDDs) with block size $4$ and group sizes $4$ and $7$. We show that there exists a 4-GDD of type $4^t 7^s$ for all but a finite specified set of feasible values for $(t, s)$.

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R. Julian R. Abel, Thomas Britz, Yudhistira A. Bunjamin, Diana Combe. 2024-01-22. Group divisible designs with block size 4 and group sizes 4 and 7. https://arxiv.org/abs/2309.12823

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