One- and Two-Point Codes Over Kummer Extensions
One- and Two-Point Codes Over Kummer Extensions
复制标题
DOI：
10.1109/tit.2016.2583437
复制
发表时间：
2015-10
影响因子：
2.5
通讯作者：
A. Sepúlveda;Ariane M. Masuda;Luciane Quoos
中科院分区：
文献类型：
--
作者：
A. Sepúlveda;Ariane M. Masuda;Luciane Quoos
我们计算了由ym = f（x）λ定义的库默扩张的Weierstrass半群在一个完全分歧处的Weierstrass半群，其中f（x）是Fq上的可分多项式.此外，我们还计算了Weierstrass半群在两个确定的全分歧处的性质。然后，我们应用我们的结果来构造一点和两点代数几何码具有良好的参数。
We compute the Weierstrass semigroup at one totally ramified place for Kummer extensions defined by ym = f (x)λ, where f (x) is a separable polynomial over Fq. In addition, we compute the Weierstrass semigroup at two certain totally ramified places. We then apply our results to construct one- and two-point algebraic geometric codes with good parameters.