The existence of orthogonal resolutions of lines in AG(n,q)

DOI10.1016/0097-3165(87)90050-1zbMath0633.51008OpenAlexW1993469315MaRDI QIDQ1096174

Ryoh Fuji-Hara, Scott A. Vanstone

Publication date: 1987

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(87)90050-1

zbMATH Keywords

spreadsparallelismorthogonal resolutionsfinite affine geometryresolution classes

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial geometries and geometric closure systems (51D20) Other finite incidence structures (geometric aspects) (51E30)

Related Items (10)

On resolvable Steiner 2-designs and maximal arcs in projective planes ⋮ On generalized Howell designs with block size three ⋮ Guest editorial: Special issue in honor of Scott A. Vanstone ⋮ Orthogonally Resolvable Cycle Decompositions ⋮ The characterization problem for designs with the parameters of \(\mathrm{AG}_d(n,q)\) ⋮ On existence of two classes of generalized Howell designs with block size three and index two ⋮ Remarks on polarity designs ⋮ Designs with mutually orthogonal resolutions and decompositions of edge‐colored graphs ⋮ Balanced tournament designs and related topics ⋮ Doubly resolvable canonical Kirkman packing designs and its applications

Cites Work

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• The existence of Room squares
• Orthogonal resolutions of lines in AG(n,q)
• Recursive constructions for skew resolutions in affine geometries
• Affine Geometries Obtained from Projective Planes and Skew Resolutions on AG(3,q)

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