Schematic saturated orthogonal arrays obtained by using the contractive replacement method |
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| Authors: | Shanqi Pang Rong Yan Sen Li |
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| Institution: | School of Mathematics and Information Science, Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, Henan Normal University, Xinxiang, China |
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| Abstract: | This paper presents a general method of constructing schematic saturated orthogonal arrays of strength two. We consider a class of mixed saturated orthogonal arrays produced from saturated symmetric orthogonal arrays by using the contractive replacement method, study the Hamming distances of the rows, construct their association schemes, and prove that they are schematic. Some examples are given to illustrate this construction method. |
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| Keywords: | Association scheme contractive replacement method hamming distance schematic orthogonal array |
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