Abstract
In a previous paper [8] the authors have shown that every ovoid ofPG(3, 16) is an elliptic quadric. The arguments used a computer and also depended on the computer-aided classification of hyperovals ofPG(2, 16) (see [3]). Recently (see [9]) the classification of hyperovals ofPG(2,16) has been obtained without the use of a computer. The present paper completes a computer-free proof that every ovoid ofPG(3,16) is an elliptic quadric.
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O'Keefe, C.M., Penttila, T. Ovoids ofPG(3, 16) are elliptic quadrics, II. J Geom 44, 140–159 (1992). https://doi.org/10.1007/BF01228289
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DOI: https://doi.org/10.1007/BF01228289