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A new construction of caps
Authors:Hans-Joachim Kroll
Institution:a Zentrum Mathematik, Technische Universität München, 80290 München, Germany
b Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy
Abstract:In this paper we present a general method to construct caps in higher-dimensional projective spaces. As an application, for q≥8 even we obtain caps in PG(5,q) larger than the caps known so far, and a new class of caps of size (q+1)(q2+3) for q≥7 odd.
Keywords:Cap  Oval  Finite projective geometry
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