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.
翻译:本文研究了与Skabelund极大曲线相关的两点代数几何码,该曲线是通过Suzuki曲线的循环覆盖构造的。为估计此类码的最小距离,我们利用P. Beelen提出的广义阶界,并确定了曲线的某些两点Weierstrass半群。