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BIBD's for (13, 5, 5), (16, 6, 5) and (21, 6, 4) Possessing Possibly an Automorphism of Order 3 (CROSBI ID 557087)

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Martinjak, Ivica ; Pavčević, Mario-Osvin BIBD's for (13, 5, 5), (16, 6, 5) and (21, 6, 4) Possessing Possibly an Automorphism of Order 3 // World Academy of Science, Engineering and Technology Volume 58 / Cemal Ardil (ur.). Venecija: World Academy of Science, Engineering and Technology (WASET), 2009. str. 885-888

Podaci o odgovornosti

Martinjak, Ivica ; Pavčević, Mario-Osvin

engleski

BIBD's for (13, 5, 5), (16, 6, 5) and (21, 6, 4) Possessing Possibly an Automorphism of Order 3

When trying to enumerate all BIBD's for given parameters, their natural solution space appears to be huge and grows extremely with the number of points of the design. Therefore, constructive enumerations are often carried out by assuming additional constraints on design's structure, automorphisms being mostly used ones. It remains a hard task to construct designs with trivial automorphism groups - those with no additional symmetry - although it is believed that the most of the BIBD's belong to that case. In this paper, very many new designs with parameters 2-(13, 5, 5), 2-(16, 6, 5) and 2-(21, 6, 4) are constructed, assuming an action of an automorphism of order 3. Even more, it was possible to construct millions of such designs with no non-trivial automorphisms.

BIBD; incidence matrix; automorphism group; tactical decomposition; deterministic algorithm

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nije evidentirano

nije evidentirano

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nije evidentirano

nije evidentirano

Podaci o prilogu

885-888.

2009.

objavljeno

Podaci o matičnoj publikaciji

World Academy of Science, Engineering and Technology Volume 58

Cemal Ardil

Venecija: World Academy of Science, Engineering and Technology (WASET)

2070-3724

Podaci o skupu

International Conference on Computer and Applied Mathematics

predavanje

28.10.2009-30.10.2009

Venecija, Italija

Povezanost rada

Matematika