A Series of Regular Hadamard Matrices

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Let p and 2p − 1 be prime powers and pJOURNAL/dccry/04.02/00123454-200603920-00009/OV0113/v/2017-10-10T023708Z/r/image-png 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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