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Generalized Latin Matrix and Construction of Orthogonal Arrays

Generalized Latin Matrix and Construction of Orthogonal Arrays
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摘要 In this paper, generalized Latin matrix and orthogonal generalized Latin matrices are proposed. By using the property of orthogonal array, some methods for checking orthogonal generalized Latin matrices are presented. We study the relation between orthogonal array and orthogonal generalized Latin matrices and obtain some useful theorems for their construction. An example is given to illustrate applications of main theorems and a new class of mixed orthogonal arrays are obtained. In this paper, generalized Latin matrix and orthogonal generalized Latin matrices are proposed. By using the property of orthogonal array, some methods for checking orthogonal generalized Latin matrices are presented. We study the relation between orthogonal array and orthogonal generalized Latin matrices and obtain some useful theorems for their construction. An example is given to illustrate applications of main theorems and a new class of mixed orthogonal arrays are obtained.
作者 Shan-qi PANG Li-yan CHEN
机构地区 College of Mathematics and Information Science Anyang Preschool Education College
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2017年第4期1083-1092,共10页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China(Nos.11571094 and 11171093)
关键词 orthogonal array generalized Latin matrix orthogonal generalized Latin matrices matrix image generalized permutation difference matrix orthogonal array generalized Latin matrix orthogonal generalized Latin matrices matrix image generalized permutation difference matrix
分类号 O151.21 [理学—基础数学]
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  • 2A. S. Hedayat, N. J. A. Sloane, and J. Stufken, Orthogonal Arrays: Theory and Applications, Springer, New York, 1999.
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Acta Mathematicae Applicatae Sinica
2017年 第4期

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