On non-isomorphic orthogonal array OA(3~5,20,3,3)

摘要

There are several criteria for measuring the quality of an experimental design. Many of these criteria are related to each other and some are even equivalent. Hill (1983) gave nine non-isomorphic OA(3~5,20,3,3) based on the inequivalent 20-caps of PG(4, 3). Also Kschischang and Pasupathy (1992) mention the existence of an OA(3~5,20,3,3). This paper uses the criterion of minimum aberration to compare these orthogonal arrays. The paper also uses uniformity measured in terms of discrepancy to identify design isomorphism and compare these non-isomorphic orthogonal arrays.