A family of symmetric block designs
β Scribed by Albert Leon Whiteman
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 152 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
An embedding theorem for certain quasi-residual designs is proved and is used to construct a series of symmetric designs with v = (1 + 16 + ... + 16")9 + 16 "+~, k =(1 + 16 + ... + 16m)9, and 2 = (1 + 16 + ... + 16m-~)9 + 16".3, for a non-negative integer m.
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 embeddabl
We construct a family of simple 4-designs with parameters 4-(2:+ 1,9, 84), (f, 6)= 1, f>~5.