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).%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.
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