A (v, K, A) packing design of order v, block size K and index 1 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 I blocks. The packing problem is to determine the maximum number of blocks in a packing design. The only previous work on
Packing designs with block size 5 and indexes 8, 12, 16
โ Scribed by Ahmed M Assaf; Nabil Shalaby
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 361 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A (u, k, ,I) packing design of order u, block size k, and index I 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 A blocks. The packing problem is to determine the maximum number of blocks in a packing design. In this paper we solve
## Abstract The necessary conditions for the existence of a balanced incomplete block design on ฯ โโฅโ__k__ points, with index ฮป and block size __k__, are that: For __k__โ=โ8, these conditions are known to be sufficient when ฮปโ=โ1, with 38 possible exceptions, the largest of which is ฯ โ=โ3,753. For
A packing (respectively covering) design of order v, block size k, and index ~ 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 (at least) 3. blocks. The packing (covering) problem is to determine the maximum (minimum) number of bloc
## Abstract This article looks at (5,ฮป) GDDs and (__v__,5,ฮป) pair packing and pair covering designs. For packing designs, we solve the (4__t__,5,3) class with two possible exceptions, solve 16 open cases with ฮป odd, and improve the maximum number of blocks in some (__v__, 5, ฮป) packings when __v__