Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weierstrass semigroups at every point of the Suzuki curve   In this article we explicitly determine the structure of the Weierstrass
semigroups $H(P)$ for any point $P$ of the Suzuki curve $\mathcal{S}_q$. As the
point $P$ varies, exactly two possibilities arise for $H(P)$: one for the
$\mathbb{F}_q$-rational points (already known in the literature), and one for
all remaining points. For this last case a minimal set of generators of $H(P)$
is also provided. As an application, we construct dual one-point codes from an
$\mathbb{F}_{q^4}\setminus\fq$-point whose parameters are better in some cases
than the ones constructed in a similar way from an $\fq$-rational point.

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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
1
The categories of this paper are: cs