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

2021/07/11 by Crnković, Dean, Švob, Andrea
#05B05 #05E18 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2107.05126

Abstract

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 size 11520 and other is not self-dual and has the full automorphism group of size 2520.

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