When basic necessary conditions for the existence of a balanced incomplete block design are satisfied, the design may still not exist or it may not be known whether it exists. In either case, other designs may be considered for the same parameters. In this article we introduce a class of alternative
✦ LIBER ✦
Construction for indecomposable simple (v, k, λ)-BIBDs
✍ Scribed by Xuebin Zhang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 268 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we give a new construction for indecomposable simple (v, k, 2)-BIBD. As an application, we show that there exists an indecomposable simple (v, 3, 2)-BIBD for all v ~> 242 -5 satisfying the necessary conditions. 2(v-1)-0(mod2) and 2~<v-2.
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