✦ LIBER ✦
The existence of NRB[v, k] where k + 1 is an even prime power
✍ Scribed by Therese C. Y. Lee; Steven Furino
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 225 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
✦ Synopsis
The existence of NRB [v, k] where k ≥ 7 and k + 1 is an even prime power is considered. We will show that there exists an NRB[kn+1, k] for all n > (3k
where k + 1 is an even prime power, k ≥ 7 and b = k 3 k 4k 2
. The tools used to construct this bound include the frames extracted from a construction of J. X. Lu's for resolvable balanced incomplete block designs.