English

New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings

Combinatorics 2024-09-04 v1

Abstract

We present various new constructions and bounds for arcs in projective Hjelmslev planes over finite chain rings of nilpotency index 2. For the chain rings of cardinality at most 25 we give updated tables with the best known upper and lower bounds for the maximum size of such arcs.

Keywords

Cite

@article{arxiv.2409.02099,
  title  = {New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings},
  author = {Thomas Honold and Michael Kiermaier and Ivan Landjev},
  journal= {arXiv preprint arXiv:2409.02099},
  year   = {2024}
}

Comments

53 pages, 6 tables, 5 figures