On ovoids of PG(3, q)

Abstract

Abstract We give necessary and sufficient conditions that a polynomial f (x, y) gives an ovoid of PG(3, q). Furthermore by considering Rédei polynomials associated to ovoids of PG(3, q) we obtain sets of equations relating the coefficients of f (x, y). One such set of equations implies that if xiyj occurs as a term in f (x, y) + xy then i and j must have disjoint binary expansions.