English

Locally resolvable BIBDs and generalized quadrangles with ovoids

Combinatorics 2024-08-05 v1

Abstract

In this note we establish a 1-to-1 correspondence between the class of generalized quadrangles with ovoids and the class of balanced incomplete block designs that posses a non-triangular local resolution system and have the appropriate parameters. We present a non-triangular local resolution system for a difference family BIBD construction of Sprott.

Keywords

Cite

@article{arxiv.2408.00887,
  title  = {Locally resolvable BIBDs and generalized quadrangles with ovoids},
  author = {Ryan McCulloch},
  journal= {arXiv preprint arXiv:2408.00887},
  year   = {2024}
}