Constructions of 1 1/2-designs from symplectic geometry over finite fields

Authors
Chai, Zhao Feng, Rong Quan Zeng, Li Wei
Citation
Chai, Zhao et al., Constructions of 1 1/2-designs from symplectic geometry over finite fields, Acta mathematica Sinica. English series (Print) , 31(9), 2015, pp. 1367-1378
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
9
Year of publication
2015
Pages
1367 - 1378
Database
ACNP
SICI code
Abstract
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 1/2-designs yield six infinite families of directed strongly regular graphs.