𝔖 Bobbio Scriptorium
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Incomplete Split-Block Designs

✍ Scribed by Franz Hering; Stanislaw Mejza


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
611 KB
Volume
39
Category
Article
ISSN
0323-3847

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πŸ“œ SIMILAR VOLUMES


Splitting balanced incomplete block desi
✍ Beiliang Du πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 149 KB

## 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

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The concept of generalized partially balanced incomplete block (PBIB) design is introduced. Generalized PBIB designs are shown to be useful for the construction of equireplicate balanced block designs, pairwise balanced designs and BIB designs.

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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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