Resolvable balanced incomplete block designs with subdesigns of block size 4
β Scribed by Gennian Ge; Malcolm Greig; Alan C.H. Ling; Rolf S. Rees
- Book ID
- 108113703
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 347 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
## 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
## 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