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Extendable Steiner designs

✍ Scribed by J. D. Key

Book ID
104653793
Publisher
Springer
Year
1992
Tongue
English
Weight
225 KB
Volume
41
Category
Article
ISSN
0046-5755

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✦ Synopsis

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 can be extended to a (t + 1)-design, then ~ can also be extended.

The construction described is a development of ideas originally formulated in Assmus and Key [23.

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