Naslov
Symmetric designs possessing tactical decompositions

Autori
Martinjak, Ivica ; Pavčević, Mario-Osvin

Izvornik
Advances in mathematics of communications (1930-5346) 5 (2011), 2; 199-208

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

Ključne riječi
symmetric design; tactical decomposition; automorphism; deterministic algorithm

Sažetak
The main aim of this paper is to construct symmetric designs with trivial automorphism groups. Being aware of the fact that an exhaustive search for parameters (36, 15, 6) and (41, 16, 6) is still impossible, we assume that these designs admit a tactical decomposition which would correspond to an orbit structure achieved under an action of an automorphism of order 3. This constraint proves to be fruitful and allows us to classify simultaneously those symmetric designs with mentioned parameters which admit an automorphism of order 3 as well as to construct new designs with a trivial automorphism.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA