An infinite family of Goethals-Seidel arrays

M. Xia, Central China Normal University, China
T. Xia, University of Wollongong
J. Seberry, University of Wollongong

Article comments

This paper was originally published as Xia, M, Xia, T and Seberry, J, An infinite family of Goethals-Seidel arrays, Discrete Applied Mathematics, 145, 2005, 498-504. Copyright Elsevier 2005. Original journal available here.

Abstract

In this paper we construct an infinite family of Goethals-Seidel arrays and prove the theorem: If q = 4n - 1 is a prime power = 3(mod 8), then there exists an Hadamard matrix of order 4n of Goethals-Seidel type