Naslov
On Some Menon Designs with Parameters (324, 153, 72)

Autori
Crnković, Dean ; Held, Dieter

Izvornik
Journal of Applied Algebra and Discrete Structures (0972-5946) 4 (2006), 1; 23-33

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

Ključne riječi
symmetric design; Menon design; Hadamard matrix; automorphism group

Sažetak
There are exactly 10 symmetric (324, 153, 72) designs admitting an automorphism group isomorphic to $Frob_{; ; 19 \cdot 9}; ; \times Z_2$ acting with orbit size distribution (1, 19, 38, 38, 38, 38, 38, 38, 38, 38) for blocks and points. For eight of these designs, the full automorphism group has order 342 and is isomorphic to $Frob_{; ; 19 \cdot 9}; ; \times Z_2$, one design has $Frob_{; ; 19 \cdot 9}; ; \times Z_4$ and the remaining design $Frob_{; ; 19 \cdot 9}; ; \times Z_8$ as full automorphism group. All 10 designs are self-dual. The derived design (with respect to the fixed block) of the design with full automorphism group of order 1368 is 1-rotational.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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