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

Leonardo Landi, Lara Vicino*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)

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 languageEnglish
Article number 102009
Number of pages17
JournalFinite fields and their applications
DOIs
Publication statusPublished - Jun-2022
Externally publishedYes

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