Warwick de Launey

most citedOn the Asymptotic Existence of Hadamard Matrices

13 citations · 16 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2010

On the Density of the Set of Known Hadamard Orders

Warwick de Launey, Daniel M. Gordon

Let $S (x)$ be the number of $n \leq x$ for which a Hadamard matrix of order $n$ exists. Hadamard's conjecture states that $S (x)$ is about $x /4$ . From Paley's constructions of Hadam…

math.PR2010★ 3 cited

A Fourier-analytic Approach to Counting Partial Hadamard Matrices

Warwick de Launey, David A. Levin

In this paper, we study a family of lattice walks which are related to the Hadamard conjecture. There is a bijection between paths of these walks which originate and terminate at t…

math.CO2010★ 13 cited

On the Asymptotic Existence of Hadamard Matrices

Warwick de Launey

It is conjectured that Hadamard matrices exist for all orders $4 t$ ( $t > 0$ ). However, despite a sustained effort over more than five decades, the strongest overall existence results…