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Infinite Families of 3-Designs from Z 4 -Goethals Codes with Block Size 8

✍ Scribed by Ranto, Kalle

Book ID: 118198872
Publisher: Society for Industrial and Applied Mathematics
Year: 2002
Tongue: English
Weight: 237 KB
Volume: 15
Category: Article
ISSN: 0895-4801
DOI: 10.1137/s0895480101385882

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## Abstract We determine the distribution of 3−(__q__ + 1,__k__,λ) designs, with __k__ ϵ {4,5}, among the orbits of __k__‐element subsets under the action of PSL(2,__q__), for __q__ ϵ 3 (mod 4), on the projective line. As a consequence, we give necessary and sufficient conditions for the existence