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

被引：0

作者：

Montanucci, Maria ^{[1
]}

Tizziotti, Guilherme ^{[2
]}

Zini, Giovanni ^{[3
]}

机构：

[1] Tech Univ Denmark, Dept Appl Math & Comp Sci, Kongens Lyngby 2800, Denmark

[2] Univ Fed Uberlandia, Fac Matemat, Uberlandia, Brazil

[3] Univ Modena & Reggio Emilia, Dept Phys Informat & Math, I-41125 Modena, Italy

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2024年 / 99卷

关键词：

Maximal curve; GK curve; Automorphism group; POINT AG CODES; FUNCTION-FIELDS; NUMBER;

D O I：

10.1016/j.ffa.2024.102498

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：27

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