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

Yong Zhang; Kejun Chen

paper

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

arXiv:1612.06701

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 $(q^{2 t - 1}, t)$ for any prime power $q \geq 2 t - 1$ with $t \geq 3$ , which provided a new family of multimagic squares.