Further contributions to nonisomorphic two level orthogonal arrays

Abstract

In this paper we construct all possible orthogonal arrays OA ( n , q , 2 , t ) with 12 ⩽ n ⩽ 24 runs and 3 ⩽ q ⩽ 6 factors, with 28 ⩽ n ⩽ 40 runs and 3 ⩽ q ⩽ 5 factors as well as those with 44 ⩽ n ⩽ 64 runs and 3 ⩽ q ⩽ 4 factors and present those that are nonisomorphic. A discussion on the novelty and the superiority of many of the designs found in terms of isomorphism, generalized minimum aberration and estimation capacity has also been made.