Two-point AG codes from the Beelen-Montanucci maximal curve [article]

Leonardo Landi, Lara Vicino
2021 arXiv   pre-print
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.
arXiv:2106.14564v2 fatcat:thrxniz3ijaepmf6xbbcbudnuu