engleski

Some New Symmetric Designs

For q, an odd prime power, we construct symmetric (2q^2+2q+1,q^2,1/2q(q+1)) designs having an automorphism group of order q that fixes 2q+1 points. The construction indicates that for each q the number of such designs that are pairwise non-isomorphic is very large.

symmetric design; tactical decomposition; incidence matrix

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