On a class of symmetric designs


Non-degenemte quadrics in PG( d, 2), where d is odd and d ≥ 3, are used to construct a class of(Error rendering LaTeX formula)-designs, where ε = \pm 1. The constructed, designs are shown lo be isomorphc to the designs witb these parameters considered by Kantor (1975). The set of values taken by the number of absolute points of a Polarity of these designs is shown to be { 0, 2<sup>d</sup>, 2<sup>d+1</sup> }.

DOI Code: 10.1285/i15900932v9n2p241

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