A k –cap in PG (n, 2 ) is a set of k points, no three of which are collinear. In the binary projective spaces PG(n, 2 ), k-caps are called large if k>2^(n−1) and small if k ≤2^(n−1). In this paper we propose new constructions producing infinite families of small binary complete caps.

Constructions of small complete caps in binary Projective Spaces

FAINA, Giorgio;PAMBIANCO, Fernanda
2005

Abstract

A k –cap in PG (n, 2 ) is a set of k points, no three of which are collinear. In the binary projective spaces PG(n, 2 ), k-caps are called large if k>2^(n−1) and small if k ≤2^(n−1). In this paper we propose new constructions producing infinite families of small binary complete caps.
2005
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/155904
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