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Published in:
2009 | OriginalPaper | Chapter
On Weierstrass Semigroups of Some Triples on Norm-Trace Curves
Author : Gretchen L. Matthews
Published in: Coding and Cryptology
Publisher: Springer Berlin Heidelberg
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In this paper, we consider the norm-trace curves which are defined by the equation
$y^{q^{r-1}}+y^{q^{r-2}}+ \cdots +y=x^{\frac{q^r-1}{q-1}}$
over
where
q
is a power of a prime number and
r
≥ 2 is an integer. We determine the Weierstrass semigroup of the triple of points
$\left(P_{\infty}, P_{00}, P_{0b} \right)$
on this curve.