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;
2008-01-01
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 providedFile in questo prodotto:
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