Polygonal designs with blocks of size k≤10
✍ Scribed by John Stufken; James H. Wright
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 55 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0026-1335
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📜 SIMILAR VOLUMES
## Abstract The necessary conditions for the existence of a balanced incomplete block design on υ ≥ __k__ points, with index λ and block size __k__, are that: For __k__ = 8, these conditions are known to be sufficient when λ = 1, with 38 possible exceptions, the largest of which is υ = 3,753. For
An imprimitive permutation group of order 4200 is used for the construction of a 2-(175, 7, 1) design. The design yields also a group divisible design 7&GDD and a generalized Bhaskar Rao design GBRD(25, 100, 28, 7, 7; Z 7 ).
In this paper, we give constructions of block designs with block size 4 and index 1, for L = 3, 6 which have a blocking set for all admissible orders (with at most 5 possible exceptions). A design which admits a blocking set is 2-colorable. These results, in conjunction with an earlier paper [l], s