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Journal article · Preprint article

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

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Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Mathematics, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

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-GüneriStichtenoth (GGS) curve are discovered.

Language: English
Year: 2022
Pages: 102009
ISSN: 10902465 and 10715797
Types: Journal article and Preprint article
DOI: 10.1016/j.ffa.2022.102009
ORCIDs: Vicino, Lara and Landi, Leonardo

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