Classification of \((0,2)\)-geometries embedded in \(\mathrm{AG}(3,q)\)

DOI10.1007/S10623-007-9050-0zbMath1122.51006OpenAlexW2005149541MaRDI QIDQ2384007

Nikias de Feyter

Publication date: 20 September 2007

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9050-0

zbMATH Keywords

affine spacefull embedding\((0,\alpha)\)-geometry

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Incidence structures embeddable into projective geometries (51A45) Finite partial geometries (general), nets, partial spreads (51E14)

Cites Work

• Unnamed Item
• Partial geometries in finite affine spaces
• On semipartial geometries
• The embedding in \(\text{AG}(3,q)\) of \((0,2)\)-geometries with no planar nets
• The embedding in \(\operatorname{AG}(3,q)\) of \((0,2)\)-geometries containing a planar net
• On \((0,{\alpha})\)-geometries and dual semipartial geometries fully embedded in an affine space
• Strongly regular graphs, partial geometries and partially balanced designs
• Sets of Type (1, n, q + 1) in PG(d, q)
• The embedding of (0, 2)-geometries and semipartial geometries in AG(n, q)

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