An infinite class of Hadamard matrices of maximal excess
type: Item
instance of: scholarly article
title: An infinite class of Hadamard matrices of maximal excess
zbMATH Open document ID: 0734.05028
DOI: 10.1016/0012-365X(91)90123-J
published in: Discrete Mathematics
publication date: 1991-01-01T00:00:00Z
review text: Let H be an Hadamard matrix of order n. Then \(\sigma\) (H) denotes the sum of all entries of H. Furthermore \[ \sigma (n)=_{H} \sigma (H), \] where H runs over all Hadamard matrices of order n. Now the main result of the present paper is the following theorem: If m is the order of a skew Hadamard matrix, then \[ \sigma (4m^ 2-4m)=4(m-1)^ 2(2m+1). \]
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 4214014
zbMATH Keywords: Hadamard matrix
author: H. Kharaghani
reviewed by: Noboru Ito
MaRDI profile type: Publication
cites work: The excess of Hadamard matrices and optimal designs
cites work: Q4198777
cites work: On the excess of Hadamard matrices
cites work: Q4090347
cites work: Q4152552
cites work: Q3691750
cites work: Combinatorics. Room squares, sum-free sets, Hadamard matrices
description: scientific article; zbMATH DE number 4214014