| 正交对角拉丁方的构造 |
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| 引用本文： | 杜北梁. 正交对角拉丁方的构造[J]. 高校应用数学学报(A辑), 1996, 0(1): 113-120 |
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| 作者姓名： | 杜北梁 |
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| 作者单位： | 苏州大学 |
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| 摘 要： | 对角拉丁方是主对角线和反对角线均为截态的拉丁方。本文推广了朱烈［１］中关于正交对角拉丁方的主要构作。作为这些构作的应用，作者改进了Ｗａｌｌｉｓ和朱烈［１，２］中关于正交对角拉丁方的结果。
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| 关 键 词： | 截态 对角拉丁方 正交对角拉丁方 拉丁方 |
THE CONSTRUCTIONS OF PAIRWISE ORTHOGONAL DIAGONAL LATIN SQUARES |
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| Du Beiliang Dept. of Math.,Suzhou University,Suzhou. THE CONSTRUCTIONS OF PAIRWISE ORTHOGONAL DIAGONAL LATIN SQUARES[J]. Applied Mathematics A Journal of Chinese Universities, 1996, 0(1): 113-120 |
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| Authors: | Du Beiliang Dept. of Math. Suzhou University Suzhou |
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| Affiliation: | Du Beiliang Dept. of Math.,Suzhou University,Suzhou 215006 |
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| Abstract: | A diagonal Latin square is a Latin square whose main diagonal and back diagonal areboth transversals. In this paper we extend the main constructions of Zhu Lie in [1] aboutpairwise orthogonal diagonal Latin squares. As an application of such constructions we im-prove the results of Wallis and Zhu Lie in [1, 2] about pairwise orthogonal diagonal Latinsquares. |
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| Keywords: | Transversal Diagonal Latin Square Pairwise Orthogonal Diagonal Latin Squares |
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