Designs with a simple automorphism group

IF 1.2 3区数学 Q1 MATHEMATICS

Finite Fields and Their Applications Pub Date : 2024-08-09 DOI:10.1016/j.ffa.2024.102488

Alessandro Montinaro , Yanwei Zhao , Zhilin Zhang , Shenglin Zhou

引用次数: 0

Abstract

The classification of the 2-designs with $λ = 2$ admitting a flag-transitive automorphism groups with socle $P S L (2, q)$ is completed by settling the two open cases in [2]. The result is achieved by using conics and hyperovals of $P G (2, q)$ .

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具有简单自变群的设计

通过解决[2]中的两个未决问题，我们完成了λ=2 的 2-设计的分类，这些 2-设计允许一个具有社群 PSL(2,q)的旗跨自变群。这一结果是通过使用 PG(2,q) 的圆锥曲线和双曲面得到的。

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

Finite Fields and Their Applications 数学-数学

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.