Article,
Two-Point AG Codes From One of the Skabelund Maximal Curves
Contributors
Landi, Leonardo
0000-0003-4835-5321
[1]
Timpanella, Marco
0000-0001-6058-1909
[2]
Vicino, Lara
0000-0002-7480-8681
(Corresponding author)
[1]
Affiliations
- [1] Technical University of Denmark [NORA names: DTU Technical University of Denmark; University; Denmark; Europe, EU; Nordic; OECD];
- [2] University of Perugia [NORA names: Italy; Europe, EU; OECD]
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.
Keywords
AG codes,
Suzuki,
Suzuki curve,
Weierstrass semigroup,
algebraic geometry codes,
code,
cover,
curves,
cyclic covers,
distance,
general order,
geometry codes,
maximal curves,
minimum distance,
order,
semigroup,
two-point
