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A Construction of Some Symmetric Designs with Parameters (196, 91, 42) (CROSBI ID 133585)
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Crnković, Dean
A Construction of Some Symmetric Designs with Parameters (196, 91, 42) // International Mathematical Forum, 2 (2007), 61; 3021-3026-x
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Crnković, Dean
engleski
A Construction of Some Symmetric Designs with Parameters (196, 91, 42)
Let $q$ be a prime power, $q \equiv 1\ (mod\ 4)$, and let $p=\frac{; ; q+1}; ; {; ; 2}; ; $. We construct an orbit structure for the parameters $(4p^2, 2p^2 - p, p^2 - p)$ and the orbit size distribution with $q+1$ fixed points and $2q$ orbits of size $p$. Further, we describe a construction of eight symmetric designs with parameters (196, 91, 42) admitting an automorphism group isomorphic to $Frob_{; ; 7 \cdot 3}; ; \times Z_6$.
symmetric design; Menon design; Hadamard matrix
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