Weierstrass semigroups from Kummer extensions

被引：17
|
作者：
Yang, Shudi [1 ]
Hu, Chuangqiang [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Jining 273165, Shandong, Peoples R China
[2] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2017年 / 45卷
关键词：
Kummer extension; Weierstrass semigroup; Weierstrass gap; GOPPA CODES; MINIMUM DISTANCE; POINTS; CURVE; GAPS; PAIR;
D O I：
10.1016/j.ffa.2016.12.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Weierstrass semigroups and pure gaps can be helpful in constructing codes with better parameters. In this paper, we investigate explicitly the minimal generating set of the Weierstrass semigroups associated with several totally ramified places over arbitrary Kummer extensions. Applying the techniques provided by Matthews in her previous work, we extend the results of specific Kummer extensions studied in the literature. Some examples are included to illustrate our results. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：264 / 284
页数：21
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