Relative \(t\)-designs in nonbinary Hamming association schemes

DOI10.1007/s00373-021-02389-4zbMath1479.05043OpenAlexW3197326322MaRDI QIDQ2051885

Yan Zhu

Publication date: 25 November 2021

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-021-02389-4

zbMATH Keywords

addition formularelative \(t\)-designnonbinary Hamming association schemenonbinary Johnson association schemeregular semilattice

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other designs, configurations (05B30)

Cites Work

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• On relative \(t\)-designs in polynomial association schemes
• New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra
• On the nonbinary Johnson scheme
• Association schemes and t-designs in regular semilattices
• Designs in product association schemes
• Harmonic index designs in binary Hamming schemes
• Design theory from the viewpoint of algebraic combinatorics
• Relative \(t\)-designs in binary Hamming association scheme \(H(n,2)\)
• Remarks on the concepts of \(t\)-designs
• Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials

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