A note on near-orthogonal latin hypercubes with good space-filling properties

Orthogonal Latin hypercubes (OLHs) are generally inflexible with respect to run sizes and the numbers of factors, and do not guarantee desirable space-filling properties. This article presents a fast algorithm to construct near-OLHs. The constructed near-OLHs achieve near-orthogonality among columns and good space-filling properties. These designs improve those of Cioppa and Lucas (2007) and those constructed by the OA-based approach of Lin et al. (2009) with respect to both orthogonality and space-filling properties.