English

Group divisible designs with block size five

Combinatorics 2022-07-06 v2

Abstract

We report some group divisible designs with block size five, including types 6156^{15} and 101510^{15}. As a consequence we are able to extend the known spectrum for 5-GDDs of type gug^u.

Keywords

Cite

@article{arxiv.2202.13911,
  title  = {Group divisible designs with block size five},
  author = {Anthony D. Forbes},
  journal= {arXiv preprint arXiv:2202.13911},
  year   = {2022}
}

Comments

11 pages. New result for this version: 5-GDD 3^45. The paper is under review with a journal

R2 v1 2026-06-24T09:56:36.471Z