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Difference families, difference matrices, and bib-designs

โœ Scribed by B. T. Rumov


Book ID
105098271
Publisher
SP MAIK Nauka/Interperiodica
Year
1985
Tongue
English
Weight
560 KB
Volume
38
Category
Article
ISSN
0001-4346

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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 = ฮฃ i n i m ax i n i . Also,

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## Abstract The existence problems of perfect difference families with block size __k__, __k__=4,5, and additive sequences of permutations of length __n__, __n__=3,4, are two outstanding open problems in combinatorial design theory for more than 30 years. In this article, we mainly investigate perf