Packing pairs by quintuples with index 2: v odd, v ≢ 13 (mod 20)

Ahmed M. Assaf, L. P.S. Singh

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A (v, k, λ) packing design of order v, block size k, and index λ is a collection of k-element subsets, called blocks, of a v-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 provide a powerful technique for constructing designs and solve the packing problem with k = 5, λ = 2, and all odd numbers v, v ≢ 13 (mod 20), with the possible exception of v = 19, 27, 137, 139, 147.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalDiscrete Mathematics
Issue number1-3
StatePublished - Mar 1 1994


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