Multimagic rectangles based on large sets of orthogonal arrays |
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| Authors: | Yong Zhang Jianguo Lei |
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| Affiliation: | 1. Institute of Mathematics, Hebei Normal University, Shijiazhuang, Hebei 050024, China;2. Department of Mathematics, Yancheng Teachers University, Jiangsu 224002, China |
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| Abstract: | Large sets of orthogonal arrays (LOAs) have been used to construct resilient functions and zigzag functions by Stinson. In this paper, an application of LOAs in constructing multimagic rectangles is given. Further, some recursive constructions for multimagic rectangles are presented, and some infinite families of bimagic rectangles are obtained. |
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| Keywords: | Multimagic rectangles Large set of orthogonal arrays |
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