## 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
Super-simple resolvable balanced incomplete block designs with block size 4 and index 3
β Scribed by Gennian Ge; C. W. H. Lam
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 124 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
Abstract
The necessary conditions for the existence of a superβsimple resolvable balanced incomplete block design on v points with kβ=β4 and Ξ»β=β3, are that vββ₯β8 and vββ‘β0βmodβ4. These conditions are shown to be sufficient except for vβ=β12. Β© 2003 Wiley Periodicals, Inc.
π SIMILAR VOLUMES
## 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
## 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
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