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, A; Marino, G; Durante, Nicola; Penttila, T; Siciliano, A.. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - STAMPA. - 46(2):(2008), pp. 231-241.
The geometry of some two-character sets
MARINO G;DURANTE, NICOLA;
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.| File | Dimensione | Formato | |
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