Constructions of 112-Designs from Unitary Geometry over Finite Fields-Reference-Cited by-同舟云学术

Constructions of 112-Designs from Unitary Geometry over Finite Fields

Published:2017-09 Issue:03 Volume:24 Page:381-392
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Feng Rongquan¹,Zeng Liwei²,Zhang Yang³

Affiliation:

1. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

2. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China

3. Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA

Abstract

In this paper, we construct some [Formula: see text]-designs, which are also known as partial geometric designs, using totally isotropic subspaces of the unitary space. Furthermore, these [Formula: see text]-designs yield six infinite families of directed strongly regular graphs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386717000232

Reference3 articles.

1. Directed strongly regular graphs from 112-designs

2. A directed graph version of strongly regular graphs

3. Combinatorial designs with two singular values II. Partial geometric designs

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