Block designs with block size two
โ Scribed by R.A. Bailey; D.C. Goldrei; D.F. Holt
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 410 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A k-design is a family B ={B 1 , B 2 ,...,B v } of subsets of X ={1, 2,...,v} such that |B i โฉB j |=k for all i = j and not all B i are of the same size. The only known example of k-designs (called type-1 designs) are those obtained from symmetric designs by a certain complementation procedure. Ryse
Lamken, E., R. Rees and S. Vanstone, Class-uniformly resolvable painvise balanced designs with block sixes two and three, Discrete Mathematics 92 (1991) 197-209. A class-uniformly resolvable pairwise balanced design CURD(K;p. r) is a pairwise balanced design (of index 1) on p points, with block sixe
## 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
An imprimitive permutation group of order 4200 is used for the construction of a 2-(175, 7, 1) design. The design yields also a group divisible design 7&GDD and a generalized Bhaskar Rao design GBRD(25, 100, 28, 7, 7; Z 7 ).