engleski

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 full automorphism group of order 2520.

Symmetric design ; Automorphism group

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