✦ LIBER ✦
Packing pairs by quintuples with index 2: v odd, v ≢ 13 (mod 20)
✍ Scribed by Ahmed M. Assaf; L.P.S. Singh
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 676 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0012-365X
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✦ Synopsis
A (v, k, 1) packing design of order v, block size k, and index 1 is a collection of k-element subsets, called blocks, of a u-set, V, such that every 2-subset of V occurs in at most I 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, I = 2, and all odd numbers o, of 13 (mod 20), with the possible exception of v = 19,27, 137, 139, 147.