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Designs from projective planes and PBD bases

✍ Scribed by Malcolm Greig

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
305 KB
Volume
7
Category
Article
ISSN
1063-8539

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✦ Synopsis

The essential theme of this article is the exploitation of known configurations in projective planes in order to construct pairwise balanced designs. Among the results shown are (q 2 + 1)/2 ∈ B((q + 1)/2, 2) for all odd prime powers q; the resolution of 31 of the Mullin and Stinson's open cases in the spectrum of B(P7, 1), where P7 is odd prime powers β‰₯ 7; some constructions showing the inessential nature of values in E a + , where E a + are PBD generating sets containing values equal to 1 mod(a) for 5 ≀ a ≀ 7; some constructions with block sizes being prime powers

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