Multiplicative designs I: The normal and reducible cases

DOI10.1016/0097-3165(79)90009-8zbMath0429.05015OpenAlexW2049314875MaRDI QIDQ1137583

S. H. Smith

Publication date: 1979

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(79)90009-8

zbMATH Keywords

incidence matrixnormalsymmetric block designslambda designsreducible designstight designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other designs, configurations (05B30) Steiner systems in finite geometry (51E10)

Related Items (9)

Rational congruence for uniform multiplicative designs ⋮ An application of Ryser's (x,y)-theorem to a problem in statistics ⋮ Combinatorial designs with two singular values. I: Uniform multiplicative designs ⋮ Difference sets with few character values ⋮ Multiplicative designs II. Uniform normal and related structures ⋮ Matrices and set intersections ⋮ Applications of algebraic duality to group divisible structures ⋮ Multiplicative cones - a family of three eigenvalue graphs ⋮ Tactical decompositions in uniform normal designs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(\lambda\)-designs with multiplicative duals
• On \(\lambda\)-designs
• Replication results for certain combinatorial configurations
• On the replications of certain multiplicative designs
• An extension of a theorem of the Bruijn and Erdős on combinatorial designs
• Symmetric designs and related configurations
• On a combinatorial generalization of 27 lines associated with a cubic surface
• Some results on λ-designs
• Square λ-Linked Designs
• On some Theorems in Combinatorics Relating to Incomplete Block Designs

This page was built for publication: Multiplicative designs I: The normal and reducible cases