On a class of symmetric designs

Abstract

Non-degenemte quadrics in PG( d, 2), where d is odd and , are used to construct a class of(Error rendering LaTeX formula)-designs, where . 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 .