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AG codes from the second generalization of the GK maximal curve
[article]

2019
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arXiv
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pre-print

The second generalized GK maximal curves GK_2,n are maximal curves over finite fields with q^2n elements, where q is a prime power and n ≥ 3 an odd integer, constructed by Beelen and Montanucci. In this paper we determine the structure of the Weierstrass semigroup H(P) where P is an arbitrary F_q^2-rational point of GK_2,n. We show that these points are Weierstrass points and the Frobenius dimension of GK_2,n is computed. A new proof of the fact that the first and the second generalized GK

arXiv:1901.08897v1
fatcat:r5hphb4r5jgzlfn3xbbaczywcy