Constructions of 11/2-designs from orthogonal geometry over finite fields

被引：12

作者：

Feng, Rongquan ^{[1
]}

Zhao, Meng ^{[2
]}

Zeng, Liwei ^{[2
]}

机构：

[1] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China

[2] Hebei Norma Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R China

来源：

DISCRETE MATHEMATICS | 2016年 / 339卷 / 01期

基金：

中国国家自然科学基金;

关键词：

11/2-design; Orthogonal space; Totally isotropic subspace; Directed strongly regular graph; STRONGLY REGULAR GRAPHS;

D O I：

10.1016/j.disc.2015.09.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct some 11/2-designs, which are also known as partial geometric designs, using totally isotropic subspaces of orthogonal spaces. Furthermore, these 11/2-designs yield some infinite families of directed strongly regular graphs. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：382 / 390

页数：9

共 7 条

[1]

Bose R.C., 1973, C INT TEOR COMB ROM, VI, P49

[2] Directed strongly regular graphs from 11/2-designs [J].

Brouwer, A. E. ;

Olmez, O. ;

Song, S. Y. .

EUROPEAN JOURNAL OF COMBINATORICS, 2012, 33 (06) :1174-1177

[3] A DIRECTED GRAPH VERSION OF STRONGLY REGULAR GRAPHS [J].

DUVAL, AM .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1988, 47 (01) :71-100

[4]

NEUMAIER A, 1980, J COMB THEORY A, V28, P226, DOI 10.1016/0097-3165(80)90067-9

[5] Symmetric 112-Designs and 112-Difference Sets [J].

Olmez, Oktay .

JOURNAL OF COMBINATORIAL DESIGNS, 2014, 22 (06) :252-269

[6] Combinatorial designs with two singular values II. Partial geometric designs [J].

van Dam, ER ;

Spence, E .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 396 :303-316

[7]

Wan Z., 2002, GEOMETRY CLASSICAL G

← 1 →