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

Leonardo Landi; Lara Vicino

doi:10.1016/j.ffa.2022.102009

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

Leonardo Landi, Lara Vicino^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-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 language	English
Article number	102009
Number of pages	17
Journal	Finite fields and their applications
DOIs	https://doi.org/10.1016/j.ffa.2022.102009
Publication status	Published - Jun-2022
Externally published	Yes

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title = "Two-point AG codes from the Beelen-Montanucci maximal curve",

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{\"u}neri-Stichtenoth (GGS) curve are discovered.",

author = "Leonardo Landi and Lara Vicino",

year = "2022",

month = jun,

doi = "10.1016/j.ffa.2022.102009",

language = "English",

journal = "Finite fields and their applications",

issn = "1071-5797",

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T1 - Two-point AG codes from the Beelen-Montanucci maximal curve

AU - Landi, Leonardo

AU - Vicino, Lara

PY - 2022/6

Y1 - 2022/6

N2 - 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.

AB - 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.

UR - https://doi.org/10.1016/j.ffa.2022.102009

U2 - 10.1016/j.ffa.2022.102009

DO - 10.1016/j.ffa.2022.102009

M3 - Article

SN - 1071-5797

JO - Finite fields and their applications

JF - Finite fields and their applications

M1 - 102009

ER -

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

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