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Simple constructions for balanced incomplete block designs with block size three

✍ Scribed by C.St.J.A Nash-Williams


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
299 KB
Volume
13
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES


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

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

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