Constructions for orthogonal designs using signed group orthogonal designs
Copyright policy )Constructions for orthogonal designs using signed group orthogonal designs
Craigen introduced and studied signed group Hadamard matrices extensively and eventually provided an asymptotic existence result for Hadamard matrices. Following his lead, Ghaderpour introduced signed group orthogonal designs and showed an asymptotic existence result for orthogonal designs and consequently Hadamard matrices. In this paper, we construct some interesting families of orthogonal designs using signed group orthogonal designs to show the capability of signed group orthogonal designs in generation of different types of orthogonal designs.
To appear in Discrete Mathematics (Elsevier). No figures
- University of Calgary Canada
- Sapienza University of Rome Italy
circulant matrix, signed group orthogonal design, Circulant matrix; Golay pair; Hadamard matrix; Orthogonal design; Signed group orthogonal design, orthogonal design, Other designs, configurations, Golay pair, FOS: Mathematics, Mathematics - Combinatorics, Hadamard matrix, Orthogonal arrays, Latin squares, Room squares, Combinatorics (math.CO), Combinatorial aspects of matrices (incidence, Hadamard, etc.)
circulant matrix, signed group orthogonal design, Circulant matrix; Golay pair; Hadamard matrix; Orthogonal design; Signed group orthogonal design, orthogonal design, Other designs, configurations, Golay pair, FOS: Mathematics, Mathematics - Combinatorics, Hadamard matrix, Orthogonal arrays, Latin squares, Room squares, Combinatorics (math.CO), Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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