Abstract
In this paper, we propose a juxtaposition method from one column to multi-column to construct asymmetric orthogonal arrays with high strength, which is a generalization of one column juxtaposition constructing asymmetric orthogonal arrays with strength 2. Five main theoretical results for the juxtaposition method are given. Many asymmetric orthogonal arrays of strength 3 and 4 are constructed by the juxtaposition method, including some new tight asymmetric orthogonal arrays of strength 3.
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