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An extension theorem for Steiner systems

✍ Scribed by John L. Blanchard

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
453 KB
Volume
141
Category
Article
ISSN
0012-365X

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✦ Synopsis

Given a Steiner system S(2,k-1;v) with v>~vo(k), there is a 3-design Sa(3, k;v+ t) such that the derived design is 2 copies of the Steiner system for any 2 sufficiently large satisfying the standard arithmetic conditions. This theorem has applications in the construction of Steiner 3-designs.

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