## Abstract In 1991, Lamken et al. [7] introduced the notion of classβuniformly resolvable designs, CURDs. These are resolvable pairwise balanced designs PBD(__v__, __K__, Ξ») in which given any two resolution classes __C__ and __C__', for each __k__βββ__K__ the number of blocks of size __k__ in __C
Two new families of 4-designs
β Scribed by X. Hubaut
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 262 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
## Abstract The main result in this article is a method of constructing a nonβembeddable quasiβderived design from a quasiβderived design and an Ξ±βresolvable design. This method is a generalization of techniques used by van Lint and Tonchev in 14, 15 and Kageyama and Miao in 8. As applications, we
This paper gives a number of new spherical 4-designs, and presents numerical evidence that spherical 4-designs containing n points in k-dimensional space with k G 8 exist precisely for the following values of n and k: n even and 22 for k = 1; n 2 5 for k = 2; n = 12, 14, >I6 for k=3;n~2Ofork=4;n>29f
We construct, in a very simple way, two new classes of elementary abelian (q 2 , k, k&1) and (q 2 , k+1, k+1) difference families with k a multiple of q&1. The first of these classes contains, as special cases, the supplementary difference systems constructed by A.