Affiliation:
1. Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Science Henan Normal University Xinxiang People's Republic of China
2. School of Mathematical Sciences Hebei Normal University Shijiazhuang People's Republic of China
Abstract
AbstractOrthogonal array and a large set of orthogonal arrays are important research objects in combinatorial design theory, and they are widely applied to statistics, computer science, coding theory, and cryptography. In this paper, some new series of large sets of orthogonal arrays are given by direct construction, juxtaposition construction, Hadamard construction, finite field construction, and difference matrix construction. Subsequently, many new infinite classes of orthogonal arrays are obtained by using these large sets of orthogonal arrays and Kronecker product.
Funder
National Natural Science Foundation of China