On the class of t-designs
โ Scribed by Sudesh K. Srivastav
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 244 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
โฆ Synopsis
The neccessary and sufficient condition for a t-design satisfying v = 2k to be a resolvable t-design is derived. Construction of some series of resolvable 3-designs are also given. Finally, a simple and general method for constructing balanced incomplete block designs from symmetrical balanced incomplete block designs are shown. Using this method many known infinite series of balanced incomplete block designs can easily be obtained. (~
๐ SIMILAR VOLUMES
Necessary and sufficient conditions for the extendability of residual designs of Steiner systems S ( t , t + 1, v) are studied. In particular, it is shown that a residual design with respect to a single point is uniquely extendable, and the extendability of a residual design with respect to a pair o