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Simeon Ball

On ovoids of PG(3, q)

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 xⁱy^j occurs as a term in f (x, y) + xy then i and j must have disjoint binary expansions.

Advances in Geometry, Walter de Gruyter

Print ISSN: 1615-715X
Volume: 6, 03/2006
Pages: 177 - 198

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