engleski

On Some Symmetric Designs with Classical Parameters

We describe a construction of sixty-seven symmetric (31, 15, 7) designs, thirty-eight symmetric (63, 31, 15) designs, and two symmetric (127, 63, 31) designs. The orders and the structures of the full automorphism groups of the constructed designs are given, as well as their 2-ranks. The designs are constructed with the help of tactical decompositions.

symmetric design; classical parameters; automorphism group; difference set

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