English

Linear codes from Denniston maximal arcs

Combinatorics 2017-11-30 v1 Algebraic Geometry

Abstract

In this paper we construct functional codes from Denniston maximal arcs. For q=24n+2q=2^{4n+2} we obtain linear codes with parameters [(q1)(q+1),5,d]q[(\sqrt{q}-1)(q+1),5,d]_q where limq+d=(q1)q3q\lim_{q \to +\infty} d=(\sqrt{q}-1)q-3\sqrt{q}. We also find for q=16,32q=16,32 a number of linear codes which appear to have larger minimum distance with respect to the known codes with same length and dimension.

Keywords

Cite

@article{arxiv.1711.10478,
  title  = {Linear codes from Denniston maximal arcs},
  author = {Daniele Bartoli and Massimo Giulietti and Maria Montanucci},
  journal= {arXiv preprint arXiv:1711.10478},
  year   = {2017}
}
R2 v1 2026-06-22T22:59:51.434Z