• DocumentCode
    1260001
  • Title

    Classification of Poset-Block Spaces Admitting MacWilliams-Type Identity

  • Author

    Pinheiro, Jerry Anderson ; Firer, Marcelo

  • Author_Institution
    Inst. of Math., Stat., & Sci. Comput., State Univ. of Campinas, Campinas, Brazil
  • Volume
    58
  • Issue
    12
  • fYear
    2012
  • Firstpage
    7246
  • Lastpage
    7252
  • Abstract
    In this paper, we prove that a poset-block space admits a MacWilliams-type identity if and only if the poset is hierarchical, and at any level of the poset, all the blocks have the same dimension. When the poset-block admits the MacWilliams-type identity, we explicitly state the relation between the weight enumerators of a code and its dual.
  • Keywords
    block codes; pattern classification; MacWilliams-type identity classification; Poset-block code spaces; weight enumerators; Block codes; Linear code; Measurement; Polynomials; Transforms; Vectors; MacWilliams identity; MacWilliams-type identity; poset-block codes; weight distribution;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2210192
  • Filename
    6261548
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1260001