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-Güneri-Stichtenoth (GGS) curve are discovered.
Original language | English |
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Article number | 102009 |
Number of pages | 17 |
Journal | Finite fields and their applications |
DOIs | |
Publication status | Published - Jun-2022 |
Externally published | Yes |