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    Pseudo Quasi-3 Designs and their Applications to Coding Theory


    Bracken, Carl (2009) Pseudo Quasi-3 Designs and their Applications to Coding Theory. Journal of Combinatorial Designs, 17 (5). pp. 411-418. ISSN 1063-8539

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    Abstract

    We define a pseudo quasi-3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi-symmetric. Quasi-symmetric designs can be used to construct optimal self complementary codes. In this article we give a construction of an infinite family of pseudo quasi-3 designs whose residual designs allow us to construct a family of codes with a new parameter set that meet the Grey Rankin bound.

    Item Type: Article
    Additional Information: Preprint version of published article, © 2009 Wiley Periodicals, Inc.
    Keywords: quasi-symmetric design; quasi-3 design; Grey Rankin bound; error correcting code;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 2634
    Identification Number: https://doi.org/10.1002/jcd.20208
    Depositing User: Library Editor
    Date Deposited: 12 Aug 2011 15:55
    Journal or Publication Title: Journal of Combinatorial Designs
    Publisher: Wiley Blackwell
    Refereed: No
    URI:

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