Holzmann, W. H.; Kharaghani, H.; Lavassani, M. T. The excess problem and some excess inequivalent matrices of order 32. (English) Zbl 0941.05015 J. Stat. Plann. Inference 72, No. 1-2, 381-391 (1998). Summary: Let \(4n\) be the order of an Hadamard matrix. It is shown that there is a regular complex Hadamard matrix of order \(8n^2\). Five classes of excess-inequivalent Hadamard matrices of order \(32\) are introduced. Cited in 2 Documents MSC: 05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.) Keywords:excess-inequivalent Hadamard matrices PDF BibTeX XML Cite \textit{W. H. Holzmann} et al., J. Stat. Plann. Inference 72, No. 1--2, 381--391 (1998; Zbl 0941.05015) Full Text: DOI References: [1] Craigen, R.; Seberry, J.; Zhang, X.M., Product of four Hadamard matrices, J. combin. theory ser. A, 59, 318-320, (1992) · Zbl 0757.05032 [2] Enomoto, H.; Miyamoto, M., On maximal weights of Hadamard matrices, J. combin. theory ser. A, 29, 94-100, (1980) · Zbl 0445.05031 [3] Farnakis, N.; Kounias, S., The excess of Hadamard matrices and optimal designs, Discrete math., 67, 165-176, (1987) · Zbl 0652.05006 [4] Geramita, A.V., Seberry, J., 1979. Orthogonal Designs: Quadratic Forms and Hadamard Matrices. Marcel Dekker, New York. · Zbl 0411.05023 [5] Hammer, J.; Levingston, R.; Seberry, J., A remark on the excess of Hadamard matrices and orthogonal designs, Ars combin., 5, 237-254, (1978) · Zbl 0427.05019 [6] Kharaghani, H., A new class of symmetric weighing matrices, Ars combin., 19, 69-72, (1985) · Zbl 0584.05015 [7] Kharaghani, H.; Seberry, J., Regular complex Hadamard matrices, Congr. numer., 75, 187-201, (1990) · Zbl 0744.05009 [8] Kharaghani, H.; Seberry, J., The excess of complex Hadamard matrices, Graphs combin., 9, 47-56, (1993) · Zbl 0781.05008 [9] Wallis, W.D., On the weights of Hadamard matrices, Ars combin., 3, 287-292, (1977) · Zbl 0394.05010 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.