摘要
本文引入泛对角线拉丁方的概念,证明当自然数n的标准因子分解式p_1~k_1 p_2~k(?)…p_s^(ks)中pi≥5(1≤i≤s)时,正交泛对角线拉丁方存在。并运用正交泛对角线拉丁方对及偏差分对称方阵,构造出n阶泛对角线幻方.
In this paper,we introduced tie notion of pandia7onal latin square, demonstrated the existence of orthogonal pan-diagonal latin squares of order n, where n = p1^(k1)p2^(k2)……ps^(ks) (prime numbers Pi≥5 1≤i≤s)is the prime facterization of n, and applied them to matrix with symmetric partial difference we could construct pandiagonal magic square of order n.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
1989年第4期1-7,共7页
Journal of Henan Normal University(Natural Science Edition)
关键词
拉丁方
幻方
正交
泛对角线
pandiagonal latin square
orthogonal latin squares
matrix with symmetric partial difference
pandiagonal magic square
