The geometry of some two-character sets |
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| Authors: | Antonio Cossidente Nicola Durante Giuseppe Marino Tim Penttila Alessandro Siciliano |
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| Affiliation: | (1) Dipartimento di Matematica e Informatica, Università della Basilicata, 85100 Potenza, Italy;(2) Dipartimento di Matematica e Applicazioni, Università di Napoli “Federico II”, Napoli, Italy;(3) Department of Mathematics, Colorado State University, Fort Collins, CO, USA |
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| Abstract: | A projective (n, d, w 1, w 2) q set (or a two-character set for short) is a set  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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| Keywords: | Two-character sets Strongly regular graphs Automorphism group |
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