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On the size of maximal caps in Q + (5, q)

2003
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Advances in Geometry
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Let q be an odd prime power. A cap of the hyperbolic quadric Q þ ð5; qÞ is a set of points of Q þ ð5; qÞ that does not contain three collinear points. It is called maximal, if it is not contained in a larger cap. It is easy to see that a cap has size at most q 3 þ q 2 þ q þ 1 with equality if and only if it meets every plane of Q þ ð5; qÞ in a conic. Caps of this size do exist. The largest known maximal cap with less than q 3 þ q 2 þ q þ 1 points has size q 3 þ q 2 þ 1. In this paper it is

doi:10.1515/advg.2003.2003.s1.186
fatcat:lokvgffatbdbdbfid7dniegwpq