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- W2333913021 abstract "1. Introduction. We prove, using a theorem of M. Hall on cyclic projective planes, that if g is a prime power such that either 1 + q + q 2 is a prime congruent to 3, 5 or 7 (mod 8) or 3 + 2q + 2q 2 is a prime power, then there exists a skew-Hadamard matrix of the Goethals-Seidel type of order 4(1 + q + q 2 ). (A Hadamard matrix H is said to be of skew type if one of H + I, H — lis skew symmetric. ) If 1 + q + q 2 is a prime congruent to 1 (mod 8), then a Hadamard matrix, not necessarily of skew type, of order 4(1 + q + q 2 ) is constructed. The smallest new Hadamard matrix obtained has order 292." @default.
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- W2333913021 date "1975-06-01" @default.
- W2333913021 modified "2023-09-26" @default.
- W2333913021 title "Skew-Hadamard Matrices of the Goethals-Seidel Type" @default.
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- W2333913021 doi "https://doi.org/10.4153/cjm-1975-066-9" @default.
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