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

被引：18

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

共 15 条

[1] The Existence of a Bush-Type Hadamard Matrix of Order 324 and Two New Infinite Classes of Symmetric Designs
Zvonimir Janko
Hadi Kharaghani
Vladimir D. Tonchev
Designs, Codes and Cryptography, 2001, 24 : 225 - 232
[2] The existence of a Bush-type Hadamard matrix of order 324 and two new infinite classes of symmetric designs
Janko, Z
Kharaghani, H
Tonchev, VD
DESIGNS CODES AND CRYPTOGRAPHY, 2001, 24 (02) : 225 - 232
[3] Bush-Type Hadamard Matrices and Symmetric Designs
2001, John Wiley and Sons Inc. (09)
[4] Bush-type Hadamard matrices and symmetric designs
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JOURNAL OF COMBINATORIAL DESIGNS, 2001, 9 (01) : 72 - 78
[5] New (100,45,20) symmetric designs and Bush-type Hadamard matrices of order 100
Golemac, A
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[6] A block negacyclic Bush-type Hadamard matrix and two strongly regular graphs
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[7] Symmetric Bush-type generalized Hadamard matrices and association schemes
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FINITE FIELDS AND THEIR APPLICATIONS, 2016, 37 : 72 - 84
[8] Symmetric bush-type Hadamard matrices of order 4m4 exist for all odd m
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Xiang, Q
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (08) : 2197 - 2204
[9] Symmetric 2-(36,15,6) designs with an automorphism of order two
Rukavina, Sanja
Tonchev, Vladimir D.
JOURNAL OF COMBINATORIAL DESIGNS, 2024, 32 (10) : 606 - 624
[10] Existence of solutions for several higher-order Hadamard-type fractional differential equations with integral boundary conditions on infinite interval
Zhang, Wei
Liu, Wenbin
BOUNDARY VALUE PROBLEMS, 2018,

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