E-optimal incomplete block designs with two distinct block sizes
β Scribed by Nizam Uddin
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 698 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0378-3758
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π SIMILAR VOLUMES
## Abstract The necessary conditions for the existence of a balanced incomplete block design on Ο ββ₯β__k__ points, with index Ξ» and block size __k__, are that: For __k__β=β8, these conditions are known to be sufficient when Ξ»β=β1, with 38 possible exceptions, the largest of which is Ο β=β3,753. For
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
A k-design is a family B ={B 1 , B 2 ,...,B v } of subsets of X ={1, 2,...,v} such that |B i β©B 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
## Abstract Splitting balanced incomplete block designs were first formulated by Ogata, Kurosawa, Stinson, and Saido recently in the investigation of authentication codes. This article investigates the existence of splitting balanced incomplete block designs, i.e., (__v__, 3__k__, Ξ»)βsplitting BIBD