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 $tge 2$, $n equiv$ 0 mod 4 runs and $qle 6$ 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.
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机译：在本文中，我们探讨了使用采用$ J $特征的方法构造具有强度$ t $，$ n $运行和$ q> t $列的两级最小广义像差（MGA）正交阵列的问题。两层设计。给出了构造具有$ t + 1 $，$ t + 2 $和$ t + 3 $列的MGA正交阵列的一般结果，而所有强度为$ t ge 2 $，$ n equiv $的MGA设计都给出了mod 4运行并构建$ q le 6 $。还给出了具有$ q = 7 $因子但强度大于2的两级正交阵列的结果。还讨论了已确定的MGA设计的投影特性。
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