On the automorphism group of a family of maximal curves not covered by the Hermitian curve
IF 1.2
3区 数学
Q1 MATHEMATICS
引用次数: 0
Abstract
In this paper we compute the automorphism group of the curves and 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.
论赫米曲线未覆盖的最大曲线族的自变群
本文计算了 Tafazolian 等人[27]引入的曲线 Xa,b,n,s 和 Yn,s 的自变群，它们是赫米蒂曲线无法覆盖的最大曲线的新例子。它们是第一条广义 GK 曲线（GGS 曲线）的子覆盖曲线。因此，我们获得了 GK 曲线作为该族成员的新特征。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
CiteScore
2.00
自引率
20.00%
发文量
133
审稿时长
6-12 weeks
期刊介绍：
Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering.
For cohesion, and because so many applications rely on various theoretical properties of finite fields, it is essential that there be a core of high-quality papers on theoretical aspects. In addition, since much of the vitality of the area comes from computational problems, the journal publishes papers on computational aspects of finite fields as well as on algorithms and complexity of finite field-related methods.
The journal also publishes papers in various applications including, but not limited to, algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation, and linear recurring sequences. There are other areas of application to be included, but the important point is that finite fields play a nontrivial role in the theory, application, or algorithm.
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