On the automorphism group of a family of maximal curves not covered by the Hermitian curve

Maria Montanucci, Guilherme Tizziotti, Giovanni Zini

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

In this paper we compute the automorphism group of the curves Xa,b,n,s and Yn,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, a new characterization of the GK curve, as a member of this family, is obtained.
Original languageEnglish
Article number102498
JournalFinite Fields and Their Applications
Volume99
Number of pages27
ISSN1071-5797
DOIs
Publication statusPublished - 2024

Keywords

  • Automorphism group
  • GK curve
  • Maximal curve

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