Tight \(t\)-designs on one shell of Johnson association schemes

DOI10.1016/j.ejc.2018.02.024zbMath1415.05183OpenAlexW2808064391MaRDI QIDQ2311346

Eiichi Bannai, Yan Zhu

Publication date: 10 July 2019

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2018.02.024

zbMATH Keywords

association schemespartially ordered setDelsarte \(t\)-schemes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30)

Related Items

Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials, Relative \(t\)-designs in Johnson association schemes for P-polynomial structure

Cites Work

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• On the existence of tight relative 2-designs on binary Hamming association schemes
• New quasi-symmetric designs by the Kramer-Mesner method
• Tight relative 2-designs on two shells in Johnson association schemes
• On relative \(t\)-designs in polynomial association schemes
• New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra
• Association schemes and t-designs in regular semilattices
• Designs in product association schemes
• Unitals and codes
• Design theory from the viewpoint of algebraic combinatorics
• Relative \(t\)-designs in binary Hamming association scheme \(H(n,2)\)
• Tight relative 2- and 4-designs on binary Hamming association schemes
• Remarks on the concepts of \(t\)-designs
• An Addition Theorem for Hahn Polynomials: The Spherical Functions
• Mixed block designs