Duals of quasi-3 designs are not necessarily quasi-3

被引：2

作者：

Bracken, Carl ^{[1
]}

McGuire, Gary ^{[1
]}

机构：

[1] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2007年 / 44卷 / 1-3期

基金：

爱尔兰科学基金会;

关键词：

quasi-3; design; Hadamard matrix; Latin square; dual design;

D O I：

10.1007/s10623-007-9084-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In the early 1980s Dan Hughes wrote two papers on semi-symmetric 3-designs, which are closely related to quasi-3 designs. In 1973 Peter Cameron asked whether the dual design of any quasi-3 design must also be quasi-3. In this article, we answer that question. We give some general constructions of quasi-3 designs which enable us to give the answer. The answer is no.

引用

页码：157 / 167

页数：11

共 10 条

[1] TRANSITIVE GROUPS OF COLLINEATIONS ON CERTAIN DESIGNS [J].