Constructing partial geometries from overlarge sets of Steiner systems

DOI10.1007/s13366-021-00570-7zbMath1485.51005OpenAlexW3139141831WikidataQ114219939 ScholiaQ114219939MaRDI QIDQ2118350

Sven Reichard, Andrew J. Woldar

Publication date: 22 March 2022

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-021-00570-7

zbMATH Keywords

Steiner systemFano planeoverlarge setpartial geometryaffine design

Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10) Combinatorial aspects of finite geometries (05B25) Combinatorial geometries and geometric closure systems (51D20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The B-ovals of order \(q\leq 8\)
• The isomorphism of the Cohen, Haemers-van Lint and de Clerk-Dye-Thas partial geometries
• Non rank 3 strongly regular graphs with the 5-vertex condition
• Some new strongly regular graphs
• An infinite class of partial geometries associated with the hyperbolic quadric in \(\mathrm{PG}(4n-1,2)\)
• A new partial geometry with parameters \((s,t,\alpha)=(7,8,4)\)
• Partitions of sets of designs on seven, eight and nine points
• Overlarge sets and partial geometries
• Partitions of sets of two-fold triple systems, and their relations to some strongly regular graphs
• Strongly regular graphs, partial geometries and partially balanced designs
• A Note on Steiner Triple Systems.
• A Partial Geometry pg(9, 8, 4)
• An Operand for a Group of Order 1512

This page was built for publication: Constructing partial geometries from overlarge sets of Steiner systems