Naslov
Series of Menon designs, cyclic BIBDs and cyclic PBDs

Autori
Crnković, Dean

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Design Theory of Alex Rosa

Mjesto i datum
Bratislava, Slovačka, 02.07.2007. - 06.07.2007

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
symmetric design; Hadamard matrix; cyclic design; pairwise balanced design

Sažetak
Let $p$ and $2p-1$ be prime powers and $p \equiv 3\ (mod\ 4)$. We describe a construction of two Menon designs with parameters $(4p^2, 2p^2 - p, p^2 - p)$ which lead to amicable regular Hadamard matrices of order $4p^2$. These two Menon designs lead to a series of Siamese twin designs intersecting in a derived design with parameters $(2p^2-p, p^2-p, p^2-p-1)$, and a pairwise balanced design $PBD(2p^2-p, \{; ; ; ; p^2, p^2-p\}; ; ; ; , p^2-p-1)$. When $p$ and $2p-1$ are primes, the derived design and the pairwise balanced design are cyclic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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