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Super-Simple Resolvable Balanced Incomplete Block Designs with Block Size 4 and Index 4

✍ Scribed by Hongjuan Liu, Lidong Wang

Book ID
120788736
Publisher
Springer Japan
Year
2012
Tongue
English
Weight
184 KB
Volume
29
Category
Article
ISSN
0911-0119

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πŸ“œ SIMILAR VOLUMES

Super-simple resolvable balanced incompl
Super-simple resolvable balanced incomplete block designs with block size 4 and index 3
✍ 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
Super-simple resolvable balanced incomplete block designs with block size 4 and index 2
✍ 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