Forty-three balanced incomplete block designs
β Scribed by R.J.R Abel
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 572 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The concept of generalized partially balanced incomplete block (PBIB) design is introduced. Generalized PBIB designs are shown to be useful for the construction of equireplicate balanced block designs, pairwise balanced designs and BIB designs.
## 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
From a Frobenius group G = N x 0 ff~ with kernel N and complement 4, one can sometimes construct new balanced incomplete block designs by taking as blocks the translations in N of blocks made from the union of the nontrivial orbits of β’ of a and -a in N together with the trivial orbit {0}.
## 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