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Recursive constructions for difference matrices and relative difference families

✍ Scribed by Marco Buratti

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 219 KB
Volume: 6
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(1998)6:3<165::aid-jcd1>3.0.co;2-d

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✦ Synopsis

We present a new recursive construction for difference matrices whose application allows us to improve some results by D. Jungnickel. For instance, we prove that for any Abelian p-group G of type (n1 , n2 , . . . , nt) there exists a (G, p e , 1) difference matrix with e = Σ i n i m ax i n i . Also, we prove that for any group G there exists a (G, p, 1) difference matrix where p is the smallest prime dividing |G|. Difference matrices are then used for constructing, recursively, relative difference families. We revisit some constructions by M.

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