On the asymptotic existence of partial complex Hadamard matrices and related combinatorial objects
type: Item
instance of: scholarly article
title: On the asymptotic existence of partial complex Hadamard matrices and related combinatorial objects
zbMATH Open document ID: 0961.05010
DOI: 10.1016/S0166-218X(99)00229-2
author: Warwick de Launey
published in: Discrete Applied Mathematics
publication date: 2001-05-28T00:00:00Z
review text: By definition a partial complex Hadamard matrix is an \(m\times n\) matrix \(A\) with entries in \(\{1,-1,i,-i\}\) satisfying \(AA^*= nI_m\). The main result of the paper is a proof for the asymptotic existence of partial Hadamard matrices. The author uses an asymptotic form of the so-called Goldbach conjecture in the proof.
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 1436243
zbMATH Keywords: orthogonal arrays
zbMATH Keywords: Hadamard matrix
reviewed by: M. R. Darafsheh
MaRDI profile type: Publication
cites work: Q3900124
cites work: Q4146667
cites work: On estimations of trigonometric sums over primes in short intervals. III
cites work: Q4870979
cites work: Q5767482
cites work: On difference matrices, transversal designs, resolvable transversal designs and large sets of mutually orthogonal F-squares
cites work: A comment on the Hadamard conjecture
cites work: A remark on Plotkin's bound
full work available at URL: s0166-218x(99)00229-2
OpenAlex ID: W2043550358
description: scientific article; zbMATH DE number 1436243