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Generalized latin matrix and construction of orthogonal arrays

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Abstract

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.

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Acknowledgements

The authors sincerely thank the referees for their many valuable comments which help us improving the paper.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, Henan Normal University, Xinxiang, 453007, China

    Shan-qi Pang

  2. Anyang Preschool Education College, Anyang, 456150, China

    Li-yan Chen

Authors
  1. Shan-qi Pang
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  2. Li-yan Chen
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Correspondence to Shan-qi Pang.

Additional information

Supported by the National Natural Science Foundation of China (Nos. 11571094 and 11171093).

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Pang, Sq., Chen, Ly. Generalized latin matrix and construction of orthogonal arrays. Acta Math. Appl. Sin. Engl. Ser. 33, 1083–1092 (2017). https://doi.org/10.1007/s10255-017-0720-z

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  • DOI: https://doi.org/10.1007/s10255-017-0720-z

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