Abstract | ||
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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 驴 1, q) with the properties that the set generates PG(d 驴 1, q) and that every hyperplane meets the set in either n 驴 w 1 or n 驴 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. |
Year | DOI | Venue |
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2008 | 10.1007/s10623-007-9155-5 | Des. Codes Cryptography |
Keywords | Field | DocType |
Two-character sets,Strongly regular graphs,Automorphism group,05B25,05E30,94B25,94B27 | Automorphism group,Blocking set,Discrete mathematics,Combinatorics,Automorphism,Symplectic geometry,Hyperplane,Geometry,Character encoding,Collineation,Mathematics,Projective test | Journal |
Volume | Issue | ISSN |
46 | 2 | 0925-1022 |
Citations | PageRank | References |
2 | 0.43 | 9 |
Authors | ||
5 |
Name | Order | Citations | PageRank |
---|---|---|---|
antonio cossidente | 1 | 157 | 43.94 |
Nicola Durante | 2 | 27 | 10.53 |
Giuseppe Marino | 3 | 66 | 9.55 |
Tim Penttila | 4 | 175 | 39.78 |
Alessandro Siciliano | 5 | 21 | 5.76 |