On sets of type \((m,m+q)_2\) in \(\mathrm{PG}(3,q)\)

DOI10.1007/s00022-017-0401-3zbMath1395.51007OpenAlexW2752512413MaRDI QIDQ1685556

Fulvio Zuanni

Publication date: 14 December 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-017-0401-3

zbMATH Keywords

two-weight codesconfigurationsregular graphspartial spreadstwo-character setstwo-intersection setsmixed partitionssets of type \((m, n)_2\)

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Finite partial geometries (general), nets, partial spreads (51E14)

Related Items (6)

Three different names of a 15 - set of type (3, 6)₂ in PG(3, 3) ⋮ The type of a point and a characterization of the set of external points of a conic in PG(2, q), q odd ⋮ Note on the ascent of incidence class of projective sets ⋮ A note on sets of type \((0, mq, 2mq)_2\) in \(PG(3, q)\) ⋮ Non-existence of sets of type \((0, 1, 2 , n_{d})_{d}\) in \(\mathrm{PG}({r,q})\) with \( 3 \leq d\leq r- 1 \) and \(r\geq 4\) ⋮ A characterization of the set of internal points of a conic in \(\mathrm{PG}(2,q), q\) odd

Cites Work

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• In \(\mathrm{AG}(3, q)\) any \(q^2\)-set of class \([1, m, n_2\) is a cap]
• In \(\mathrm{AG}(3,q)\) any \(q^2\)-set of class \([0,m,n_2\) containing a line is a cylinder]
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• Weights of linear codes and strongly regular normed spaces
• The Geometry of Two-Weight Codes
• Partial Spreads and Replaceable Nets
• Blocking Sets in Finite Projective Planes
• A combinatorial problem

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