English

A geometric approach to Mathon maximal arcs

Combinatorics 2010-12-01 v2

Abstract

In 1969 Denniston gave a construction of maximal arcs of degree d in Desarguesian projective planes of even order q, for all d dividing q. In 2002 Mathon gave a construction method generalizing the one of Denniston. We will give a new geometric approach to these maximal arcs. This will allow us to count the number of isomorphism classes of Mathon maximal arcs of degree 8 in PG(2,2^h), h prime.

Cite

@article{arxiv.1003.2080,
  title  = {A geometric approach to Mathon maximal arcs},
  author = {Frank De Clerck and Stefaan De Winter and Thomas Maes},
  journal= {arXiv preprint arXiv:1003.2080},
  year   = {2010}
}

Comments

20 pages

R2 v1 2026-06-21T14:56:02.205Z