The existence of a Bush-type Hadamard matrix of order 36 and two new infinite classes of symmetric designs

被引：19

作者：

Janko, Z ^{[1
]}

机构：

[1] Univ Heidelberg, Inst Math, D-6900 Heidelberg, Germany

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2001年 / 95卷 / 02期

关键词：

symmetric design; Bush-type Hadamard matrix; twin design; Siamese twin design; balanced generalized weighing matrix;

D O I：

10.1006/jcta.2000.3166

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonsymmetric Bush-type Hadamard matrix of order 36 is constructed which leads to two, new infinite classes of symmetric designs with parameters: v = 36(25(m) + 25(m-1) + ... + 25 + 1), k = 15(25)(m), lambda = 6(25)(m), and v = 36(49(m) + 49(m-1) + ... + 49 + 1), k = 21(49)(m), lambda = (49)(m), where ni is any positive integer. (C) 2001 Academic Press.

引用

页码：360 / 364

页数：5