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
.
![d ≥ 3](http://siba-ese.unile.it/plugins/generic/latexRender/cache/cd9ba7a2687c3758399dab4cd5cf2a4e.png)
![ε = \pm 1](http://siba-ese.unile.it/plugins/generic/latexRender/cache/94d39aacfac78b869b5bc512b2b2e19f.png)
![{ 0, 2<sup>d</sup>, 2<sup>d+1</sup> }](http://siba-ese.unile.it/plugins/generic/latexRender/cache/f540c9a1d7111286d2d6b7ab27f7b468.png)
DOI Code:
10.1285/i15900932v9n2p241
Full Text: PDF