  Orthogonal 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.
