A reciprocity relation for t-designs

DOI10.1016/S0195-6698(87)80021-5zbMath0659.05014MaRDI QIDQ1112033

S. S. Shrikhande, Navin M. Singhi

Publication date: 1987

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

zbMATH Keywords

monoid algebratoroidal monoid

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (3)

On existence and number of orthogonal arrays ⋮ Some approaches for solving the general (\(t,k\))-design existence problem and other related problems ⋮ q-analogues of t-designs and their existence

Cites Work

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• Linear Diophantine equations and local cohomology
• The trade-off method in the construction of BIB designs with variable support sizes
• An algebraic study of BIB designs: a complete solution for v=6 and k=3
• Complete designs with blocks of maximal multiplicity
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings
• On theory and applications of BIB designs with repeated blocks
• Hilbert functions of graded algebras
• The module structure of integral designs
• Linear homogeneous Diophantine equations and magic labelings of graphs
• The Upper Bound Conjecture and Cohen-Macaulay Rings
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• Combinatorics and commutative algebra
• Combinatorial reciprocity theorems

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