We determine a necessary and sufficient condition for the existence of a cyclic {3} -GDD with a uniform group size g. Recursive and new computational methods are introduced to settle this problem completely.
The spectrum of α-resolvable designs with block size four
✍ Scribed by Troy M. J. Vasiga; Steven Furino; Alan C. H. Ling
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 147 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
An a-resolvable BIBD is a BIBD with the property that the blocks can be partitioned into disjoint classes such that every class contains each point of the design exactly times. In this paper, we show that the necessary conditions for the existence of -resolvable designs with block size four are suf®cient, with the exception of aY vY k 2Y 10Y 2.
📜 SIMILAR VOLUMES
We consider direct constructions due to R. J. R. Abel and
In this paper an inequality for the smallest positive eigenvalues of the \_C-matrix of a block design are derived. This inequality is a generalization of a result by CONSTANTINE (1982) to the caw of unequal block sizes. On the basis of the above result a certain E-optimality criterium of block desig