An approach of constructing mixed-level orthogonal arrays of strength≥3  

作　　者：JIANG Ling YIN JianXing 

机构地区：[1]Department of Mathematics, Soochow University

出　　处：《Science China Mathematics》2013年第6期1109-1115,共7页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.11271280 and 10831002)

摘　　要：Orthogonal arrays (OAs), mixed level or fixed level (asymmetric or symmetric), are useful in the design of various experiments. They are also a fundamental tool in the construction of various combinatorial configurations. In this paper, we establish a general "expansive replacement method" for constructing mixedlevel OAs of an arbitrary strength. As a consequence, a positive answer to the question about orthogonal arrays posed by Hedayat, Sloane and Stufken is given. Some series of mixed level OAs of strength ≥3 are produced.Orthogonal arrays （OAs）, mixed level or fixed level （asymmetric or symmetric）, are useful in the design of various experiments. They are also a fundamental tool in the construction of various combinatorial configurations. In this paper, we establish a general ＂expansive replacement method＂ for constructing mixed- level OAs of an arbitrary strength. As a consequence, a positive answer to the question about orthogonal arrays posed by Hedayat, Sloane and Stufken is given. Some series of mixed level OAs of strength ≥ 3 are produced.

关 键 词：orthogonal array MIXED-LEVEL STRENGTH CONSTRUCTIONS 

分 类 号：O152[理学—数学]