Overlarge sets and partial geometries

DOI10.1007/BF01252220zbMath0897.51003MaRDI QIDQ1375942

Anne Penfold Street, Rudolf A. Mathon

Publication date: 21 January 1998

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

zbMATH Keywords

partial geometryquadruple systemoverlarge setstuple systems

Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10) Triple systems (05B07) Finite partial geometries (general), nets, partial spreads (51E14)

Related Items (6)

Strongly regular configurations ⋮ New strongly regular graphs from orthogonal groups \(O^+(6, 2)\) and \(O^-(6, 2)\) ⋮ Switching codes and designs ⋮ Reaction graphs of double Fano planes ⋮ Partial geometries and the triality quadric ⋮ Constructing partial geometries from overlarge sets of Steiner systems

Uses Software

• nauty

Cites Work

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• Strongly regular graphs defined by spreads
• The isomorphism of the Cohen, Haemers-van Lint and de Clerk-Dye-Thas partial geometries
• An infinite class of partial geometries associated with the hyperbolic quadric in \(\mathrm{PG}(4n-1,2)\)
• A new partial geometry with parameters \((s,t,\alpha)=(7,8,4)\)
• Distance regular covers of the complete graph
• Strongly regular graphs
• Partitions of sets of designs on seven, eight and nine points
• A family of antipodal distance-regular graphs related to the classical Preparata codes
• Distance-Regular Graphs with Diameter Three

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