Naslov
A Class of Siamese Twin Menon Designs

Autori
Crnković, Dean

Izvornik
Mathematical Communications (1331-0623) 12 (2007), 2; 183-190

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

Ključne riječi
Hadamard matrix; symmetric design; Menon design; Siamese twin design

Sažetak
A $\{;0, \pm 1\};$-matrix $S$ is called a Siamese twin design sharing the entries of $I$, if $S=I+K-L$, where $I, K, L$ are non-zero $\{;0, 1\};$-matrices and both $I+K$ and $I+L$ are incidence matrices of symmetric designs with the same parameters. Let $p$ and $2p-1$ be prime powers and $p \equiv 3\ (mod\ 4)$. We describe a construction of a Siamese twin Menon design with parameters $(4p^2, 2p^2 - p, p^2 - p)$, yielding a Siamese twin Hadamard design with parameters $(4p^2 - 1, 2p^2 - 1, p^2 - 1)$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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