• DocumentCode
    1208117
  • Title

    Negacyclic codes over Z4 of even length

  • Author

    Blackford, Thomas

  • Author_Institution
    Dept. of Math. Sci., Rensselaer Polytech. Inst., Troy, NY, USA
  • Volume
    49
  • Issue
    6
  • fYear
    2003
  • fDate
    6/1/2003 12:00:00 AM
  • Firstpage
    1417
  • Lastpage
    1424
  • Abstract
    This paper generalizes the results from Wolfmann (see ibid., vol.45, p.2527-2532, Nov. 1999 and vol.47, p.1773-1779, July 2001), classifying all negacyclic codes over Z4 of even length using a transform approach. It is then shown which linear binary cyclic codes are images of negacyclic codes under the Gray map. In the process, the concatenated structure of both negacyclic codes and binary repeated-root cyclic codes is given.
  • Keywords
    binary codes; concatenated codes; cyclic codes; discrete Fourier transforms; linear codes; DFT; Gray map; binary repeated-root cyclic codes; concatenated structure; discrete Fourier transform; even length codes; linear binary cyclic codes; negacyclic codes; Binary codes; Concatenated codes; Context; Galois fields; Modules (abstract algebra); Polynomials; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2003.811915
  • Filename
    1201065
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1208117