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An infinite family of symmetric designs

✍ Scribed by Christopher J. Mitchell

Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 363 KB
Volume: 26
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(79)90031-1

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✦ Synopsis

In this paper, using the construction method of [3], we show that if q > 2 is a prime power such that there exists an afhne plane of order q -1, then there exists a strongly divisible 2 -((q -l)(qh -l), qh-'(q -l), qh-') design for every h 2 2. We show that these quasi-residual designs are embeddable, and hence establish the existence of an iufinite family of symmetric 2_tqh+' -q+Lqh,q h-1) designs This construction may be regarded as a generalisation of the . construction of [l, Chapter 4, %&on l] and [4].

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