Distance-regular graphs of Hamming type

DOI10.1016/0095-8956(90)90071-7zbMath0719.05070OpenAlexW2057174658MaRDI QIDQ2639878

Nomura, Kazumasa

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0095-8956(90)90071-7

zbMATH Keywords

coveringdistance-regular graphHamming graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items

Quotients of association schemes ⋮ Intersection diagrams of distance-biregular graphs ⋮ A remark on Mulder's conjecture about interval-regular graphs ⋮ The subconstituent algebra of an association scheme. I ⋮ Coverings and homotopy of a graph ⋮ Almost 2-homogeneous graphs and completely regular quadrangles ⋮ Parallelogram-free distance-regular graphs having completely regular strongly regular subgraphs ⋮ Almost 2-homogeneous bipartite distance-regular graphs ⋮ An application of intersection diagrams of high rank

Cites Work

• On the nonexistence of unknown perfect 6- and 8-codes in Hamming schemes H(n,q) with q arbitrary
• A remark on the intersection arrays of distance-regular graphs
• On the nonexistence of nontrivial perfect e-codes and tight 2e-designs in Hamming schemes H(n,q) with e\(\geq 3\) and q\(\geq 3\)
• On local structure of a distance-regular graph of Hamming type
• Characterization of H(n,q) by the parameters
• On perfect codes in the Hamming schemes H(n,q) with q arbitrary
• On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code
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