## 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
Simple constructions for balanced incomplete block designs with block size three
β Scribed by C.St.J.A Nash-Williams
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 299 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
## 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
## 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.
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