Ionin, Yury J.; Kharaghani, Hadi A recursive construction for new symmetric designs. (English) Zbl 1066.05029 Des. Codes Cryptography 35, No. 3, 303-310 (2005). Summary: We introduce a recursive construction of regular Hadamard matrices with row sum \(2h\) for \(h = \pm 3^{n}\). Whenever \(q = (2h-1)^{2}\) is a prime power, we construct, for every positive integer \(m\), a symmetric designs with parameters (\(4h^{2} (q^{m+1} - 1)/(q-1)\), \((2h^{2} - h)q^{m}\), \((h^{2}-h)q^{m}\)). Cited in 3 Documents MSC: 05B05 Combinatorial aspects of block designs 05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.) Keywords:regular Hadamard matrix; balanced generalized weighing matrix PDFBibTeX XMLCite \textit{Y. J. Ionin} and \textit{H. Kharaghani}, Des. Codes Cryptography 35, No. 3, 303--310 (2005; Zbl 1066.05029) Full Text: DOI References: [2] The CRC Handbook of Combinatorial Designs, C.J. Colbourn and J.H. Dinitz (eds), CRC Press (1996). · Zbl 0836.00010 [4] Y. J. Ionin, New symmetric designs from regular Hadamard matrices, The Electronic Journal of Combinatorics, Vol. 5 (1998), R1. · Zbl 0885.05020 [7] H. Kharaghani, On the twin designs with the Ionin-type parameters, The Electronic Journal of Combinatorics, Vol. 7 (2000) R1. · Zbl 0944.05013 [8] H. Kharaghani, On the Siamese twin designs, in: Finite Fields and Applications, D. Jungnickel and H. Niederreiter (eds), Springer-Verlag, Berlin, Heidelberg (2001) pp. 303-312. · Zbl 0976.05010 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.