Naslov
Menon Designs with Parameters (256, 120, 56)

Autori
Crnković, Dean ; Rukavina, Sanja

Izvornik
Mathematica Macedonica (1409-9721) 3 (2005); 51-57

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

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

Sažetak
There are exactly 18 symmetric (256, 120, 56) designs admitting an automorphism group isomorphic to $Frob_{; ; 17 \cdot 8}; ; \times Z_3$ acting with orbit size distribution (1, 17, 17, 17, 51, 51, 51, 51) for blocks and points. For sixteen of these designs the full automorphism group has order 408 and is isomorphic to $Frob_{; ; 17 \cdot 8}; ; \times Z_3$, and the remaining two designs have $Frob_{; ; 17 \cdot 8}; ; \times Frob_{; ; 7 \cdot 3}; ; $ as full automorphism group. All 18 designs are self-dual. The derived designs (with respect to the fixed block) of the designs with full automorphism group isomorphic to $Frob_{; ; 17 \cdot 8}; ; \times Frob_{; ; 7 \cdot 3}; ; $ are 1-rotational.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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