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

Constructions of 1(1/2)-Designs from Unitary Geometry over Finite Fields
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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.
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)
出处 《Algebra Colloquium》 SCIE CSCD 2017年第3期381-392,共12页 代数集刊(英文版)
关键词 1(1/2)-design unitary space totally isotropic subspace directed strongly regulargraph 1(1/2)-design, unitary space, totally isotropic subspace, directed strongly regulargraph
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