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On balanced incomplete block designs with blocks having five elements

✍ Scribed by Haim Hanani

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
786 KB
Volume
12
Category
Article
ISSN
0097-3165

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## Abstract The necessary conditions for the existence of a balanced incomplete block design on υ β‰₯ __k__ points, with index Ξ» and block size __k__, are that: For __k__ = 8, these conditions are known to be sufficient when λ = 1, with 38 possible exceptions, the largest of which is υ = 3,753. For

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## 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»)‐splitting BIBD