用正交拉丁方构造双重幻方

Constructing Double Magic Squares Through Orthogonal Latin Squares

本文提出构成双重幻方的必要条件和充分条件,构造了最小的8阶双重幻方和9阶双重幻方,并提出2~m阶和(2m+1)~2阶双重幻方的一种构造方法。

Necessary condition and sufficient condition are obtained for the existence of double magic squares. Smallest double magic squares of order 8 and order 9 are constructed. We also present a method for constructing double magic squares of orders 2~m and (2m+1)~2.