用正交对角拉丁方及幻矩与和阵构作mn阶标准二次幻方

Construction of Bimagic Squares of Order mn Using Orthogonal Diagonal Latin Squares,Magic Rectangles And Sum Matrices

当m和n为同奇或同偶的正整数且m,n≠1,2,3,6时,用m和n阶正交对角拉丁方及{0,1,…,mn-1}上的m×n幻矩与和阵,构作了mn阶标准二次幻方.

Using orthogonal diagonal Latin squares, magic rectangles and sum matrices, this paper constructed classical bimagic squares of order mn where rn and n are positive integers , m, n ≠1,2,3,6 and m×n （mod 2）.