Relative \(t\)-designs in Johnson association schemes for P-polynomial structure

DOI10.1007/s10623-020-00766-3zbMath1448.05023OpenAlexW3046513547MaRDI QIDQ2004969

Yan Zhu, Naoki Watamura

Publication date: 7 October 2020

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-020-00766-3

zbMATH Keywords

tight designrelative \(t\)-designJohnson association schemeP-polynomial association schemeproduct association scheme

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30) Other designs, configurations (05B30)

Cites Work

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• On the existence of tight relative 2-designs on binary Hamming association schemes
• Note on the tight relative 2-designs on \(H(n,2)\)
• Tight relative 2-designs on two shells in Johnson association schemes
• On relative \(t\)-designs in polynomial association schemes
• Fisher type inequalities for Euclidean t-designs
• Designs in product association schemes
• Tight \(t\)-designs on one shell of Johnson association schemes
• 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
• Mixed block designs

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