engleski

On Some Menon Designs

We describe a construction of symmetric designs with parameters (324, 153, 72), (576, 276, 132), and (900, 435, 210), admitting an automorphism group isomorphic to $Frob_{; ; 17 \cdot 8}; ; \times Z_9$, $Frob_{; ; 23 \cdot 11}; ; \times Z_{; ; 12}; ; $, and $Frob_{; ; 29 \cdot 14}; ; \times Z_{; ; 15}; ; $ respectively. The derived designs of the constructed designs, with respect to the fixed block, are cyclic.

symmetric design; Menon design; Hadamard matrix; automorphism group

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