English

Largest set of unitals in projective planes of order 16

Combinatorics 2020-05-05 v4

Abstract

In this article we present the largest set of unitals (totally 553) in projective planes of order 16. An open question is what is the number of the known unitals that are non-isomorphic to the reported ones. The results are obtained with a program that implements author's algorithm.

Keywords

Cite

@article{arxiv.2003.04571,
  title  = {Largest set of unitals in projective planes of order 16},
  author = {Stoicho D. Stoichev},
  journal= {arXiv preprint arXiv:2003.04571},
  year   = {2020}
}

Comments

56 pages, included are the new found unitals in planes of Gordon Royle's and E. Moorhouse's formats planes representation