Two-point AG codes from one of the Skabelund maximal curves

Leonardo Landi; Marco Timpanella; Lara Vicino

doi:10.1109/TIT.2024.3351862

Two-point AG codes from one of the Skabelund maximal curves

Leonardo Landi, Marco Timpanella, Lara Vicino

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

Abstract

In this paper, we investigate two-point Algebraic Geometry codes associated to the Skabelund maximal curve constructed as a cyclic cover of the Suzuki curve. In order to estimate the minimum distance of such codes, we make use of the generalized order bound introduced by P. Beelen and determine certain two-point Weierstrass semigroups of the curve.

Original language	English
Pages (from-to)	4792-4798
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	70
Issue number	7
Early online date	1-Jan-2024
DOIs	https://doi.org/10.1109/TIT.2024.3351862
Publication status	Published - Jul-2024
Externally published	Yes

Access to Document

10.1109/TIT.2024.3351862

Handle.net

Persistent link

Cite this

@article{63369cd3a6054c0d9172ccad3440cc54,

title = "Two-point AG codes from one of the Skabelund maximal curves",

abstract = "In this paper, we investigate two-point Algebraic Geometry codes associated to the Skabelund maximal curve constructed as a cyclic cover of the Suzuki curve. In order to estimate the minimum distance of such codes, we make use of the generalized order bound introduced by P. Beelen and determine certain two-point Weierstrass semigroups of the curve.",

author = "Leonardo Landi and Marco Timpanella and Lara Vicino",

year = "2024",

month = jul,

doi = "10.1109/TIT.2024.3351862",

language = "English",

volume = "70",

pages = "4792--4798",

journal = "IEEE Transactions on Information Theory",

issn = "0018-9448",

publisher = "IEEE",

number = "7",

}

TY - JOUR

T1 - Two-point AG codes from one of the Skabelund maximal curves

AU - Landi, Leonardo

AU - Timpanella, Marco

AU - Vicino, Lara

PY - 2024/7

Y1 - 2024/7

N2 - In this paper, we investigate two-point Algebraic Geometry codes associated to the Skabelund maximal curve constructed as a cyclic cover of the Suzuki curve. In order to estimate the minimum distance of such codes, we make use of the generalized order bound introduced by P. Beelen and determine certain two-point Weierstrass semigroups of the curve.

AB - In this paper, we investigate two-point Algebraic Geometry codes associated to the Skabelund maximal curve constructed as a cyclic cover of the Suzuki curve. In order to estimate the minimum distance of such codes, we make use of the generalized order bound introduced by P. Beelen and determine certain two-point Weierstrass semigroups of the curve.

U2 - 10.1109/TIT.2024.3351862

DO - 10.1109/TIT.2024.3351862

M3 - Article

SN - 0018-9448

VL - 70

SP - 4792

EP - 4798

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 7

ER -

Two-point AG codes from one of the Skabelund maximal curves

Abstract

Access to Document

Handle.net

Fingerprint

Cite this