Elation Laguerre planes of order 16 are ovoidal

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Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch 8020, New Zealand ^{[1
]}

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J Comb Des | 2006年 / 4卷 / 313-323期

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We conduct a computer search for elation Laguerre planes of order 16 and show that each such plane is ovoidal. The search results also confirm the numbers of hyperovals through certain points in the dual translation planes of order 16 given in [15]. © 2005 Wiley Periodicals, Inc.

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[31] The automorphism groups of the laguerre near-planes of order four
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[34] Unital designs in planes of order 16
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[35] THE QUASIREGULAR PROJECTIVE PLANES OF ORDER 16
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[36] THE ELATION GROUP OF A 4-DIMENSIONAL LAGUERRE PLANE
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[37] Hyperovals in the known projective planes of order 16
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[38] Finite Laguerre near-planes of odd order admitting Desarguesian derivations
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[39] THE AUTOMORPHISM GROUP OF LAGUERRE PLANES
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[40] The Symmetry Axioms in Laguerre Planes
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