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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.
Received: 2003-06-18
Revised: 2005-01-13
Published Online: 2006-05-17
Published in Print: 2006-03-26
© Walter de Gruyter
