Abstract
A projective (n, d, w 1, w 2) q set (or a two-character set for short) is a set \({\mathcal{S}}\) 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 − w 1 or n − w 2 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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Communicated by S. Ball.
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Cossidente, A., Durante, N., Marino, G. et al. The geometry of some two-character sets. Des. Codes Cryptogr. 46, 231–241 (2008). https://doi.org/10.1007/s10623-007-9155-5
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DOI: https://doi.org/10.1007/s10623-007-9155-5