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Extendable Steiner designs from finite geometries

โœ Scribed by J.D. Key


Book ID
104340210
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
303 KB
Volume
56
Category
Article
ISSN
0378-3758

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๐Ÿ“œ SIMILAR VOLUMES


Extendable Steiner designs
โœ J. D. Key ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 225 KB

Let ~ be a Steiner t-design, where t ~> 2, with a collection C of subdesigns such that each member of C is a Steiner t-design whose blocks are blocks of ~, and with the property that any (t + 1) points of ~ are together in the point set of a unique member of C. It is shown that if every member of C

Finite geometries and designs
โœ Assmus, E. F. ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Nature Publishing Group ๐ŸŒ English โš– 120 KB
On the extendability of steiner t-design
โœ Alphonse H. Baartmans; Ian F. Blake; Vladimir D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 448 KB

Necessary and sufficient conditions for the extendability of residual designs of Steiner systems S ( t , t + 1, v) are studied. In particular, it is shown that a residual design with respect to a single point is uniquely extendable, and the extendability of a residual design with respect to a pair o