Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounding the number of points on a curve using a generalization of
  Weierstrass semigroups   In this article we use techniques from coding theory to derive upper bounds
for the number of rational places of the function field of an algebraic curve
defined over a finite field. The used techniques yield upper bounds if the
(generalized) Weierstrass semigroup [P. Beelen, N. Tuta\c{s}: A generalization
of the Weierstrass semigroup, J. Pure Appl. Algebra, 207(2), 2006] for an
$n$-tuple of places is known, even if the exact defining equation of the curve
is not known. As shown in examples, this sometimes enables one to get an upper
bound for the number of rational places for families of function fields. Our
results extend results in [O. Geil, R. Matsumoto: Bounding the number of
$\mathbb{F}_q$-rational places in algebraic function fields using Weierstrass
semigroups. Pure Appl. Algebra, 213(6), 2009].

29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph