Reduction of the number of associate classes of hypercubic association schemes

zbMath0443.62065MaRDI QIDQ1144344

A. D. Das, Gour Mohan Saha, Sanpei Kageyama

Publication date: 1978

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

balanced incomplete block designsreduction of number of associate classes of hypercubic association schemes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Statistical block designs (62K10)

Related Items

Self‐dual association schemes, fusions of Hamming schemes, and partial geometric designs, A Family of Partial Geometric Designs from Three-Class Association Schemes, Galois correspondence between permutation groups and cellular rings (association schemes), Subschemes of Hamming association schemes \(H(n,q)\), \(q\geq{}4\), The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters, Merging the first and third classes in bipartite distance-regular graphs

Cites Work

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• On the reduction of associate classes of the PBIB design of a certain generalized type
• Reduction of associate classes for block designs and related combinatorial arrangements
• Note on the reduction of associate classes for PBIB designs
• A necessary condition for the existence of regular and symmetrical PBIB designs of \(T_ 3\) type
• Construction of partially balanced incomplete block designs through \(2^ n\) factorials and some new designs of two associate classes
• On Balancing in Factorial Experiments
• On the Reduction of Associate Classes for Certain PBIB Designs
• Some Classes of Partially Balanced Designs