Constructions of 11/2-designs from Symplectic Geometry over Finite Fields  

作　　者：Zhao CHAI Rong Quan FENG Li Wei ZENG 

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University

出　　处：《Acta Mathematica Sinica,English Series》2015年第9期1367-1378,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.61370187)

摘　　要：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.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.

关 键 词：1 1/2-design totally isotropic subspace generalized symplectic graph directed strongly reg-ular graph 

分 类 号：O18[理学—数学]