Affine resolvable balanced incomplete block designs: A survey
β Scribed by S. S. Shrikhande
- Publisher
- Springer
- Year
- 1976
- Tongue
- English
- Weight
- 936 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
New constructions for SBIBDs with parameters (v, k, A) = (45, 12, 3), (36, 15, 6), and (40, 13, 4) are given in this note. (~) 2000 Elsevier Science Ltd. All rights reserved.
## Abstract The necessary conditions for the existence of a superβsimple resolvable balanced incomplete block design on __v__ points with __k__β=β4 and Ξ»β=β3, are that __v__ββ₯β8 and __v__ββ‘β0βmodβ4. These conditions are shown to be sufficient except for __v__β=β12. Β© 2003 Wiley Periodicals, Inc.
## Abstract The necessary conditions for the existence of a superβsimple resolvable balanced incomplete block design on __v__ points with block size __k__ = 4 and index Ξ» = 2, are that __v__ββ₯β16 and $v \equiv 4\; (\bmod\; {12})$. These conditions are shown to be sufficient. Β© 2006 Wiley Periodical