Construction of Asymmetric Orthogonal Arrays of Strength t from Orthogonal Partition of Small Orthogonal Arrays

Shanqi PANG  Xiao LIN  Jing WANG  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E101-A   No.8   pp.1267-1272
Publication Date: 2018/08/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.1267
Type of Manuscript: LETTER
Category: Information Theory
asymmetric orthogonal arrays of strength t,  orthogonal partition of orthogonal arrays,  Kronecker product,  

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In this study, we developed a new orthogonal partition concept for asymmetric orthogonal arrays and used it for the construction of orthogonal arrays for the first time. Permutation matrices and the Kronecker product were also successfully and skillfully used as our main tools. Hence, a new general iterative construction method for asymmetric orthogonal arrays of high strength was developed, and some new infinite families of orthogonal arrays of strength 3 and several new orthogonal arrays of strength 4, 5, and 6 were obtained.