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Constructions of 11/2-designs from Symplectic Geometry over Finite Fields 被引量:3
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作者 Zhao CHAI Rong Quan FENG Li Wei ZENG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第9期1367-1378,共12页
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^-des... 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. 展开更多
关键词 1 1/2-design totally isotropic subspace generalized symplectic graph directed strongly reg-ular graph
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Constructions of 1(1/2)-Designs from Unitary Geometry over Finite Fields
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作者 Rongquan Feng Yang Zhang 《Algebra Colloquium》 SCIE CSCD 2017年第3期381-392,共12页
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 fami... 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. 展开更多
关键词 1(1/2)-design unitary space totally isotropic subspace directed strongly regulargraph
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