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A family of pandiagonal bimagic squares based on orthogonal arrays

✍ Scribed by Kejun Chen; Wen Li; Fengchu Pan

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 126 KB
Volume: 19
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20287

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✦ Synopsis

In this article we give a construction of pandiagonal bimagic squares by means of four-dimensional bimagic rectangles, which can be obtained from orthogonal arrays with special properties. In particular, we show that there exists a normal pandiagonal bimagic square of order n 4 for all positive integer n ≥ 7 such that gcd(n, 30) = 1, which gives an answer to problem 22 of Abe in [Discrete Math 127 (1994), 3-13].

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