Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weierstrass Semigroups from Kummer Extensions   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.

37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph