A projective (n, d,w1,w2)q set (or a two-character set for short) is a set S of n points of PG(d −1, q) with the properties that the set generates PG(d −1, q) and that every hyperplane meets the set in either n−w1 or n−w2 points. Here geometric constructions of some two-character sets are given. The constructions mainly involve commuting polarities, symplectic polarities and normal line-spreads of projective spaces. Some information about the automorphism groups of such sets is provided

The geometry of some two-character sets

COSSIDENTE, Antonio;SICILIANO, Alessandro;
2008

Abstract

A projective (n, d,w1,w2)q set (or a two-character set for short) is a set S of n points of PG(d −1, q) with the properties that the set generates PG(d −1, q) and that every hyperplane meets the set in either n−w1 or n−w2 points. Here geometric constructions of some two-character sets are given. The constructions mainly involve commuting polarities, symplectic polarities and normal line-spreads of projective spaces. Some information about the automorphism groups of such sets is provided
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/16935
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