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A family of symmetric block designs

✍ 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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πŸ“œ SIMILAR VOLUMES


A family of symmetric designs
✍ J.D. Fanning πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 228 KB

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.

Some new symmetric block designs
✍ Edward Spence πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 164 KB
An infinite family of symmetric designs
✍ Christopher J. Mitchell πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 363 KB

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

A family of 4-designs with block size 9
✍ JΓΌrgen Bierbrauer πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 204 KB

We construct a family of simple 4-designs with parameters 4-(2:+ 1,9, 84), (f, 6)= 1, f>~5.