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    Disjoint difference families and their applications

    Ng, S.-L. and Paterson, Maura B. (2016) Disjoint difference families and their applications. Designs, Codes and Cryptography 78 (1), pp. 103-127. ISSN 0925-1022.

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    Abstract

    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 allows a comparison of the similarities and disparities. We then focus on two constructions of disjoint difference families arising from frequency hopping sequences and showed that they are in fact the same. We conclude with a discussion of the notion of equivalence for frequency hopping sequences and for disjoint difference families.

    Metadata

    Item Type: Article
    Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s10623-015-0149-4
    Keyword(s) / Subject(s): Frequency hopping sequences, difference families, m-sequences, finite geometry
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Maura Paterson
    Date Deposited: 02 Dec 2015 13:16
    Last Modified: 15 Mar 2016 16:29
    URI: http://eprints.bbk.ac.uk/id/eprint/13159

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