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arXiv · 2106.14564

Two-point AG codes from the Beelen-Montanucci maximal curve

Leonardo Landi·Lara Vicino
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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.

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Leonardo Landi, Lara Vicino. 2021-06-28. Two-point AG codes from the Beelen-Montanucci maximal curve. https://doi.org/10.1016/j.ffa.2022.102009

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