Constructions of 1 1/2-designs from Symplectic Geometry over Finite Fields

In this paper, we construct some 1 1/2-designs, which are also known as partial geometric designs, using totally isotropic subspaces of the symplectic space and generalized symplectic graphs. Furthermore, these 1~-designs yield six infinite families of directed strongly regular graphs.

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2015-09, Vol.31 (9), p.1367-1378
Main Authors: Chai, Zhao, Feng, Rong Quan, Zeng, Li Wei
Format: Article
Language:English
Subjects:
Construction
Geometry
Graph theory
Graphs
Mathematical analysis
Mathematics
Mathematics and Statistics
Studies
Subspaces
全迷向子空间
几何设计
强正则图
无限大
有限域
结构
辛几何
辛空间
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Description
Summary:In this paper, we construct some 1 1/2-designs, which are also known as partial geometric designs, using totally isotropic subspaces of the symplectic space and generalized symplectic graphs. Furthermore, these 1~-designs yield six infinite families of directed strongly regular graphs.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-015-4716-4