engleski

On Two Classes of Menon Designs

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. In a similar way we construct a symmetric (4(p+1)2, 2p2+3p+1, p2+p) design D when p and 2p+3 are prime powers, such that p≡ 3(mod 4).

regular Hadamard matrix; symmetric design; Menon design

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