Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771595 | Finite Fields and Their Applications | 2017 | 21 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shudi Yang, Chuangqiang Hu,