Naslov
A Construction of Some Symmetric Designs with Parameters (196, 91, 42)

Autori
Crnković, Dean

Izvornik
International Mathematical Forum (1312-7594) 2 (2007), 61; 3021-3026

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
symmetric design; Menon design; Hadamard matrix

Sažetak
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 $Frob_{; ; 7 \cdot 3}; ; \times Z_6$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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