𝔖 Bobbio Scriptorium
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Resolvable balanced incomplete block designs with subdesigns of block size 4

✍ Scribed by Gennian Ge; Malcolm Greig; Alan C.H. Ling; Rolf S. Rees


Book ID
108113703
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
347 KB
Volume
308
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Super-simple resolvable balanced incompl
✍ Gennian Ge; C. W. H. Lam πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 124 KB

## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with __k__ = 4 and λ = 3, are that __v__ β‰₯ 8 and __v__ ≑ 0 mod 4. These conditions are shown to be sufficient except for __v__ = 12. Β© 2003 Wiley Periodicals, Inc.

Super-simple resolvable balanced incompl
✍ Xiande Zhang; Gennian Ge πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 166 KB

## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with block size __k__ = 4 and index Ξ» = 2, are that __v__ β‰₯ 16 and $v \equiv 4\; (\bmod\; {12})$. These conditions are shown to be sufficient. Β© 2006 Wiley Periodical

Balanced incomplete block designs with b
✍ 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