Packing designs with block size 5 and indexes 8, 12, 16

Ahmed M. Assaf, Nabil Shalaby

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A (υ, κ, λ) packing design of order υ, block size κ, and index λ is a collection of κ-element subsets, called blocks of a set V such that every 2-subset of V occurs in at most λ blocks. The packing problem is to determine the maximum number of blocks in a packing design. In this paper we solve the packing problem with κ = 5, λ = 8, 12, 16, and all positive integers υ with the possible exceptions of (υ, λ) = (19, 16) (22, 16) (24, 16) (27, 16) (28, 12).

Original languageEnglish
Pages (from-to)23-30
Number of pages8
JournalJournal of Combinatorial Theory, Series A
Issue number1
StatePublished - Jan 1992


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