| 正交对角拉丁方与加乘幻方 |
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| 引用本文： | 张世德,王际昭.正交对角拉丁方与加乘幻方[J].河南师范大学学报(自然科学版),1992,20(2):1-9. |
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| 作者姓名： | 张世德 王际昭 |
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| 作者单位： | 河南师范大学数学系，新乡市九中 |
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| 基金项目： | 河南省科委自然科学基金 |
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| 摘 要： | 本文证明当m=1及m>1,2m+1与3、5、7、13互素时,运用具有特殊性质的对角拉丁方正交对,由两个2m+1阶二维等差方阵的元素,均可构作-(2m+1)~2阶加乘幻方。
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| 关 键 词： | 二维等差方阵 对角拉丁方 加乘幻方 |
ORTHOGONAL DIAGONAL LATIN SQUARES AND ADDITION-MULTIPLICATION MAGIC SQUARES |
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| Zhang Shidc,Wang Jizhao.ORTHOGONAL DIAGONAL LATIN SQUARES AND ADDITION-MULTIPLICATION MAGIC SQUARES[J].Journal of Henan Normal University(Natural Science),1992,20(2):1-9. |
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| Authors: | Zhang Shidc Wang Jizhao |
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| Institution: | Zhang Shidc;Wang Jizhao Department of Mathematics Nomber Nith Middle schoolS |
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| Abstract: | This paper demonstrats if positive integer m = 1 and when m>lpositive integers 3, 5, 7, 13, are all relatively prime to 2m+l, then we apply orthogonal diagonal Latin squares with particular property to two doublc equidifference matrices of order 2m+1. we can always construct a addition-mulitiplication magic square of order(2M+l)~2. |
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| Keywords: | double equidifference mstrix diagonal latin sguares addition-muloitiplication magic sguarc |
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