Construction of minimum generalized aberration two-level orthogonal arrays

Abstract

In this paper we explore the problem of constructing two-level Minimum Generalized Aberration (MGA) orthogonal arrays with strength $t$, $n$ runs and $q>t$ columns, using a method that employs the $J$-characteristics of a two-level design. General results for the construction of MGA orthogonal arrays with $t+1$, $t+2$ and $t+3$ columns are given, while all MGA designs with strength $t\ge 2$, $n \equiv$ 0 mod 4 runs and $q\le 6$ are constructed. Results are also given for two-level orthogonal arrays with $q=7$ factors, but with strength greater than two. Projection properties of the MGA designs that have been identified, are also discussed.