A Family of Partial Geometric Designs from Three-Class Association Schemes

被引：9

作者：

Nowak, Kathleen ^{[1
]}

Olmez, Oktay ^{[2
]}

Song, Sung Y. ^{[1
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[2] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2016年 / 24卷 / 12期

关键词：

association scheme; orthogonal array; 11/2-design; STRONGLY REGULAR GRAPHS; COMBINATORIAL DESIGNS; PROJECTIVE PLANE; ALGEBRAS;

D O I：

10.1002/jcd.21518

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that partial geometric designs can be constructed from certain three-class association schemes and ternary linear codes with dual distance three. In particular, we obtain a family of partial geometric designs from the three-class association schemes introduced by Kageyama, Saha, and Das in their article ["Reduction of the number of associate classes of hypercubic association schemes," Ann Inst Statist Math 30 (1978)]. We also give a list of directed strongly regular graphs arising from the partial geometric designs obtained in this paper. (C) 2016 Wiley Periodicals, Inc.

引用

页码：533 / 552

页数：20

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