New symmetric 2-(176,50,14) designs

New symmetric 2-(176,50,14) designs

In this paper, we construct two new symmetric designs with parameters 2-(176,50,14) as designs invariant under certain subgroups of the full automorphism group of the Higman design. One is self-dual and has the full automorphism group of order 11520 and the other one is not self-dual and has the ful...

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Veröffentlicht in:Discrete mathematics 2021-12, Vol.344 (12), p.112623, Article 112623
Hauptverfasser: Crnković, Dean, Švob, Andrea
Format: Artikel
Sprache:eng
Schlagworte:
Automorphism group
Symmetric design
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Zusammenfassung:In this paper, we construct two new symmetric designs with parameters 2-(176,50,14) as designs invariant under certain subgroups of the full automorphism group of the Higman design. One is self-dual and has the full automorphism group of order 11520 and the other one is not self-dual and has the full automorphism group of order 2520.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2021.112623