New results on large sets of orthogonal arrays and orthogonal arrays
Copyright policy )New results on large sets of orthogonal arrays and orthogonal arrays
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.
- Henan Normal University China (People's Republic of)
- Hefei Normal University China (People's Republic of)
- Henan Normal University China (People's Republic of)
- Weinan Normal University China (People's Republic of)
- Hebei Normal University China (People's Republic of)
Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), orthogonal array, 05B15, FOS: Mathematics, Mathematics - Combinatorics, large set, Hadamard matrix, Orthogonal arrays, Latin squares, Room squares, difference matrix, Combinatorics (math.CO), Combinatorial aspects of matrices (incidence, Hadamard, etc.)
Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), orthogonal array, 05B15, FOS: Mathematics, Mathematics - Combinatorics, large set, Hadamard matrix, Orthogonal arrays, Latin squares, Room squares, difference matrix, Combinatorics (math.CO), Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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