Disjoint difference families and their applications
نویسندگان
چکیده
منابع مشابه
Disjoint difference families and their applications
Difference sets and their generalisations to difference families arise from the study of designs and many other applications. Here we give a brief survey of some of these applications, noting in particular the diverse definitions of difference families and the variations in priorities in constructions. We propose a definition of disjoint difference families that encompasses these variations and...
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Let G be an abelian group. A collection of (G, k, λ) disjoint difference families, {F0,F1, · · · ,Fs−1}, is a complete set of disjoint difference families if ∪0≤i≤s−1∪B∈FiB form a partition of G− {0}. In this paper, several construction methods are provided for complete sets of disjoint difference families. Applications to one-factorizations of complete graphs and to cyclically resolvable cycli...
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2015
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-015-0149-4