On the non-existence of quasi-3 designs

被引：4

作者：

Broughton, W

McGuire, G ^{[1
]}

机构：

[1] Natl Univ Ireland, Dept Math, Maynooth, Kildare, Ireland

[2] Okanagan Univ Coll, Dept Math & Stat, Kelowna, BC, Canada

来源：

DISCRETE MATHEMATICS | 2003年 / 262卷 / 1-3期

关键词：

design; quasi-3; quasi-symmetric; symmetric difference property;

D O I：

10.1016/S0012-365X(02)00492-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this survey article we discuss the existence of quasi-3 designs, and settle the existence question for all v < 144. The only such designs are the ones already known. We also consider the question of whether the dual design of a quasi-3 design is a quasi-3 design. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：79 / 87

页数：9

共 12 条

[1]

Beth T., 1986, DESIGN THEORY

[2] Some observations on quasi-3 designs and hadamard matrices [J].