English

Group divisible designs with block size 4 and group sizes 2 and 5

Combinatorics 2024-01-23 v2

Abstract

In this paper we provide a 44-GDD of type 22552^2 5^5, thereby solving the existence question for the last remaining feasible type for a 44-GDD with no more than 3030 points. We then show that 44-GDDs of type 2t5s2^t 5^s exist for all but a finite specified set of feasible pairs (t,s)(t,s).

Keywords

Cite

@article{arxiv.2109.11221,
  title  = {Group divisible designs with block size 4 and group sizes 2 and 5},
  author = {R. Julian R. Abel and Thomas Britz and Yudhistira A. Bunjamin and Diana Combe},
  journal= {arXiv preprint arXiv:2109.11221},
  year   = {2024}
}