Coverings pairs by quintuples: The case v congruent to 3 (mod 4)

DOI10.1016/0097-3165(88)90058-1zbMath0666.05023OpenAlexW2045502636MaRDI QIDQ1116950

S. H. Smith

Publication date: 1988

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(88)90058-1

zbMATH Keywords

coveringsquintuple

Mathematics Subject Classification ID

Combinatorial aspects of packing and covering (05B40)

Related Items (11)

On \(\lambda\)-covers of pairs by quintuples: \(v\) odd ⋮ An application of modified group divisible designs ⋮ On covering designs with block size 5 and index 5 ⋮ What we know and what we do not know about Turán numbers ⋮ Pair covering designs with block size 5 ⋮ 16,051 formulas for Ottaviani's invariant of cubic threefolds ⋮ Singular points in pair covers and their relation to Hadamard designs ⋮ New results on GDDs, covering, packing and directable designs with block size 5 ⋮ Matchings and covers in hypergraphs ⋮ Unnamed Item ⋮ Some recent developments on BIBDs and related designs

Cites Work

• Minimal coverings of pairs by triples
• Four MOLS of order 10 with a hole of order 2
• Covering triples by quadruples: an asymptotic solution
• Coverings of pairs by quintuples
• A generalization of the singular direct product with applications to skew room squares
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• Balanced incomplete block designs and related designs
• Concerning the number of mutually orthogonal latin squares
• On coverings
• On the covering of pairs by quadruples. I
• On the covering of pairs by quadruples. II
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
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