A family of multimagic squares based on large sets of orthogonal arrays

2016/12/20 by Yong Zhang, Zhang, Yong, Kejun Chen +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1612.06701

arxiv created 2016/12/20 · arxiv updated 2016/12/21

Abstract

Large set of orthogonal arrays (LOA) were introduced by D. R. Stinson, and it is also used to construct multimagic squares recently. In this paper, multimagic squares based on strong double LOA are further investigated. It is proved that there exists an MS(q^2t-1,t) for any prime power q≥ 2t-1 with t≥3, which provided a new family of multimagic squares.

Related

• Multimagic Squares
• A generalization of product construction of multimagic squares
• A circle method approach to K-multimagic squares
• Existence of K-multimagic squares and magic squares of kth powers with distinct entries
• Linear Type-p Most-Perfect Squares