Two-point AG codes from the Beelen-Montanucci maximal curve
Algebraic Geometry
2022-07-05 v2 Information Theory
math.IT
Abstract
In this paper we investigate two-point algebraic-geometry codes (AG codes) coming from the Beelen-Montanucci (BM) maximal curve. We study properties of certain two-point Weierstrass semigroups of the curve and use them for determining a lower bound on the minimum distance of such codes. AG codes with better parameters with respect to comparable two-point codes from the Garcia-G\"uneri-Stichtenoth (GGS) curve are discovered.
Cite
@article{arxiv.2106.14564,
title = {Two-point AG codes from the Beelen-Montanucci maximal curve},
author = {Leonardo Landi and Lara Vicino},
journal= {arXiv preprint arXiv:2106.14564},
year = {2022}
}