Constructions of 1（1/2）-Designs from Unitary Geometry over Finite Fields  

作　　者：Rongquan Feng Yang Zhang Rongquan Feng Yang Zhang(LMAM, School of Mathematical Sciences, Peking University Beijing 100871, China Department of Mathematics and Statistics, Texas Tech University Lubbock, TX 79409, USA)

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University Beijing 100871, China [2]Department of Mathematics and Statistics, Texas Tech University Lubbock, TX 79409, USA

出　　处：《Algebra Colloquium》2017年第3期381-392,共12页代数集刊（英文版）

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 unitary space. Phrthermore, these 1（1/2）-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 unitary space. Phrthermore, these 1（1/2）-designs yield six infinite families of directed strongly regular graphs.

关 键 词：1（1/2）-design unitary space totally isotropic subspace directed strongly regulargraph 

分 类 号：O157.4[理学—数学] TP391.72[理学—基础数学]