Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Some New Menon Designs with Parameters (196, 91, 42) (CROSBI ID 120306)

Prilog u časopisu | izvorni znanstveni rad

Crnković, Dean Some New Menon Designs with Parameters (196, 91, 42) // Mathematical communications, 10 (2005), 2; 169-175-x

Podaci o odgovornosti

Crnković, Dean

engleski

Some New Menon Designs with Parameters (196, 91, 42)

There are exactly 54 symmetric (196, 91, 42) designs admitting an automorphism group isomorphic to $Frob_{; ; 13 \cdot 6}; ; \times Z_3$ acting with orbit size distribution (1, 13, 13, 13, 39, 39, 39, 39) for blocks and points. For 50 of these designs the full automorphism group has order 234 and is isomorphic to $Frob_{; ; 13 \cdot 6}; ; \times Z_3$. The remaining four design have $Frob_{; ; 13 \cdot 6}; ; \times Frob_{; ; 7 \cdot 3}; ; $ as full automorphism group. Among these designs there are 18 self-dual designs and 18 pairs of mutually dual ones. The derived designs (with respect to the fixed block) of the four designs with full automorphism group of order 1638 are cyclic.

symmetric design; Menon design; Hadamard matrix; automorphism group

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

10 (2)

2005.

169-175-x

objavljeno

1331-0623

Povezanost rada

Matematika