## 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
Characteristics for distinguishing among balanced incomplete block designs with repeated blocks
β Scribed by D. Raghavarao; W.T. Federer; S.J. Schwager
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 678 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0378-3758
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## Abstract We give two constructions of a balanced incompleteβblock design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240. One of these methods can be generalized to produce a large class of designs with the properti
## 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