Conjectures about Hadamard matrices

被引：11

作者：

Beder, JH ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1998年 / 72卷 / 1-2期

关键词：

D O I：

10.1016/S0378-3758(98)00020-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The purpose of this paper is to discuss some conjectures related to the construction of Hadamard matrices. We review the results of a computer experiment concerning the extendability of row-Hadamard matrices, generating new conjectures and giving a counterexample to one suggested by Vijayan. An earlier computer investigation by Harl is discussed. We also connect the standard conjectures on the existence of real and generalized Hadamard matrices to the ramification of primes in cyclotomic extensions. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：7 / 14

页数：8

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