BIROn - Birkbeck Institutional Research Online

    Combinatorial batch codes

    Stinson, D.R. and Wei, R. and Paterson, Maura B. (2009) Combinatorial batch codes. Advances in Mathematics of Communications 3 (1), pp. 13-27. ISSN 1930-5346.

    [img]
    Preview
    Text (Pre-print (unrefereed))
    2905.pdf

    Download (440kB) | Preview

    Abstract

    In this paper, we study batch codes, which were introduced by Ishai, Kushilevitz, Ostrovsky and Sahai in [4]. A batch code specifies a method to distribute a database of [n] items among [m] devices (servers) in such a way that any [k] items can be retrieved by reading at most [t] items from each of the servers. It is of interest to devise batch codes that minimize the total storage, denoted by [N] , over all [m] servers. We restrict out attention to batch codes in which every server stores a subset of the items. This is purely a combinatorial problem, so we call this kind of batch code a ''combinatorial batch code''. We only study the special case [t=1] , where, for various parameter situations, we are able to present batch codes that are optimal with respect to the storage requirement, [N] . We also study uniform codes, where every item is stored in precisely [c] of the [m] servers (such a code is said to have rate [1/c] ). Interesting new results are presented in the cases [c = 2, k-2] and [k-1] . In addition, we obtain improved existence results for arbitrary fixed [c] using the probabilistic method.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): Batch codes, combinatorial set system
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Administrator
    Date Deposited: 08 Dec 2010 08:56
    Last Modified: 09 Aug 2023 12:30
    URI: https://eprints.bbk.ac.uk/id/eprint/2905

    Statistics

    Activity Overview
    6 month trend
    821Downloads
    6 month trend
    614Hits

    Additional statistics are available via IRStats2.

    Archive Staff Only (login required)

    Edit/View Item Edit/View Item