In this paper we compute the automorphism group of the curves X a,b,n,s and Y n,s introduced in Tafazolian et al. [27] as new examples of maximal curves which cannot be covered by the Hermitian curve. They arise as subcovers of the first generalized GK curve (GGS curve). As a result, anew characterization of the GK curve, as a member of this family, is obtained. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
On the automorphism group of a family of maximal curves not covered by the Hermitian curve / Montanucci, M.; Tizziotti, G.; Zini, G.. - In: FINITE FIELDS AND THEIR APPLICATIONS. - ISSN 1071-5797. - 99:(2024), pp. 1-27. [10.1016/j.ffa.2024.102498]
On the automorphism group of a family of maximal curves not covered by the Hermitian curve
Zini G.
2024
Abstract
In this paper we compute the automorphism group of the curves X a,b,n,s and Y n,s introduced in Tafazolian et al. [27] as new examples of maximal curves which cannot be covered by the Hermitian curve. They arise as subcovers of the first generalized GK curve (GGS curve). As a result, anew characterization of the GK curve, as a member of this family, is obtained. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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