Abstract
Let p and 2p−1 be prime powers and p ≡ 3 (mod 4). Then there exists a symmetric design with parameters (4p2, 2p2 − p, p2 − p). Thus there exists a regular Hadamard matrix of order 4p2.
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References
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T. Xia M. Xia J. Seberry (2003) ArticleTitleRegular Hadamard matrices, maximum excess and SBIBD Australasian Journal of Combinatorics 27 263–275 Occurrence Handle2003m:05043
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Communicated by: P. Wild
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Crnković, D. A Series of Regular Hadamard Matrices. Des Codes Crypt 39, 247–251 (2006). https://doi.org/10.1007/s10623-005-3634-3
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DOI: https://doi.org/10.1007/s10623-005-3634-3