关于标志传递对称（v, k, 4）设计

IF 1.4 2区数学 Q3 COMPUTER SCIENCE, THEORY & METHODS

Designs, Codes and Cryptography Pub Date : 2025-05-11 DOI:10.1007/s10623-025-01642-8

Seyed Hassan Alavi

引用次数: 0

摘要

本文研究了具有标志传递和点基仿射自同构群的非平凡对称（v, k, 4）设计。综上所述，除了含有一维自同构的对称（v, k, 4）设计外，所有含有flag-传递自同构群的对称（v, k, 4）设计都是已知的，因此flag-传递对称（v, k, 4）设计的分类可以简化为一维仿射自同构群的情况。

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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On flag-transitive symmetric (v, k, 4) designs

In this paper, we study nontrivial symmetric (v, k, 4) designs admitting a flag-transitive and point-primitive affine automorphism group. In conclusion, all symmetric (v, k, 4) designs admitting flag-transitive automorphism groups are known apart from those admitting one-dimensional automorphisms, and hence the classification of flag-transitive symmetric (v, k, 4) designs reduces to the case of one-dimensional affine automorphism groups.

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来源期刊

Designs, Codes and Cryptography 工程技术-计算机：理论方法

CiteScore

2.80

自引率

12.50%

发文量

157

审稿时长

16.5 months

期刊介绍： Designs, Codes and Cryptography is an archival peer-reviewed technical journal publishing original research papers in the designated areas. There is a great deal of activity in design theory, coding theory and cryptography, including a substantial amount of research which brings together more than one of the subjects. While many journals exist for each of the individual areas, few encourage the interaction of the disciplines. The journal was founded to meet the needs of mathematicians, engineers and computer scientists working in these areas, whose interests extend beyond the bounds of any one of the individual disciplines. The journal provides a forum for high quality research in its three areas, with papers touching more than one of the areas especially welcome. The journal also considers high quality submissions in the closely related areas of finite fields and finite geometries, which provide important tools for both the construction and the actual application of designs, codes and cryptographic systems. In particular, it includes (mostly theoretical) papers on computational aspects of finite fields. It also considers topics in sequence design, which frequently admit equivalent formulations in the journal’s main areas. Designs, Codes and Cryptography is mathematically oriented, emphasizing the algebraic and geometric aspects of the areas it covers. The journal considers high quality papers of both a theoretical and a practical nature, provided they contain a substantial amount of mathematics.