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Symmetric designs possessing tactical decompositions (CROSBI ID 172309)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Martinjak, Ivica ; Pavčević, Mario-Osvin Symmetric designs possessing tactical decompositions // Advances in mathematics of communications, 5 (2011), 2; 199-208

Podaci o odgovornosti

Martinjak, Ivica ; Pavčević, Mario-Osvin

engleski

Symmetric designs possessing tactical decompositions

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.

symmetric design; tactical decomposition; automorphism; deterministic algorithm

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Podaci o izdanju

5 (2)

2011.

199-208

objavljeno

1930-5346

Povezanost rada

Matematika

Indeksiranost