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

Author:

Leonardo Landi, Marco Timpanella, Lara Vicino

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Information Theory (cs.IT)

journal:

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date:

2023-06-26 16:00:00

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.