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Transversal Designs of Block Size Eight and Nine

✍ Scribed by Charles J Colbourn

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
323 KB
Volume
17
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES

On the existence of incomplete transvers
On the existence of incomplete transversal designs with block size five
✍ B. Du πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 611 KB

We consider sets of incomplete transversal designs with block size five TD [S; u] -TD [S; n]. We show that designs exist if and only if u 2 4n, with the possible exception of 108 values of (v, n) for which existence is undecided.

Balanced incomplete block designs with b
Balanced incomplete block designs with block size 8
✍ R. Julian R. Abel; Iliya Bluskov; Malcolm Greig πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 257 KB

## 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

Some optimal designs of block size two
Some optimal designs of block size two
✍ Sunanda Bagchi; Ching-Shui Cheng πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 620 KB
Splitting balanced incomplete block desi
Splitting balanced incomplete block designs with block size 3 Γ— 2
✍ 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