On \(r\)-partition designs in Hamming spaces

DOI10.1007/BF01294330zbMath0756.05036OpenAlexW1965654032MaRDI QIDQ1189713

Bernard Courteau, Paul Camion, Philippe Delsarte

Publication date: 27 September 1992

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01294330

zbMATH Keywords

completely regular codesdifference setscodecombinatorial matrixcoherent configurationsHamming spaces\(r\)-partition designdistance distribution matrixHamming association schemesregularity number

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Other designs, configurations (05B30) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Other types of codes (94B60)

Related Items (12)

Perfect 3-colorings of the Johnson graph \(J(6, 3)\) ⋮ Quotients of association schemes ⋮ Perfect 2-colorings of the Johnson graph \(J(9, 4)\) ⋮ On the covering radius of an unrestricted code as a function of the rate and dual distance ⋮ On completely regular codes ⋮ Local duality for equitable partitions of a Hamming space ⋮ On calculation of the interweight distribution of an equitable partition ⋮ Distance-2 MDS codes and Latin colorings in the Doob graphs ⋮ On periodicity of perfect colorings of the infinite hexagonal and triangular grids ⋮ Characterizing imprimitive partition designs of binary Hamming graphs ⋮ Harmonic Distributions for Equitable Partitions of a Hypercube ⋮ Metric coset schemes revisited

Cites Work

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• Coherent configurations. I: Ordinary representation theory
• Partial difference sets and partially balanced weighing designs for calibration and tournaments
• Etude De Certains Paramètres Associés à Un Code Linéaire
• Weight Distribution of Translates of Linear Codes and Generalized Pless Indentities
• A characterization of N-weight projective codes (Corresp.)
• Four fundamental parameters of a code and their combinatorial significance
• A survey of perfect codes

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