Abstract
In this paper we determine the generalized Weierstrass semigroup \( \widehat{H}(P_{\infty }, P_1, \ldots , P_{m})\), and consequently the Weierstrass semigroup \(H(P_{\infty }, P_1, \ldots , P_{m})\), at \(m+1\) points on the curves \(\mathcal {X}_{a,b,n,s}\) and \(\mathcal {Y}_{n,s}\). These curves has been introduced in Tafazolian et al (J Pure Appl Algebra 220:1122–1132, 2016) as new examples of curves which cannot be covered by the Hermitian curve.
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Communicated by G. Korchmaros.
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Montanucci, M., Tizziotti, G. Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve. Des. Codes Cryptogr. 91, 831–851 (2023). https://doi.org/10.1007/s10623-022-01130-3
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DOI: https://doi.org/10.1007/s10623-022-01130-3