• DocumentCode
    2028429
  • Title

    Bounds on the Minimum Homogeneous Distance of the pr-ary Image of Linear Block Codes over the Galois Ring GR(pr, m)

  • Author

    Sole, P. ; Sison, V.

  • Author_Institution
    CNRS, Sophia Antipolis
  • fYear
    2007
  • fDate
    24-29 June 2007
  • Firstpage
    1971
  • Lastpage
    1974
  • Abstract
    In this paper, bounds are derived on the minimum homogeneous distance of the image of a linear block code over the Galois ring GR(pr ,m), with respect to any basis of GR(pr, m). These bounds depend on the parameters of GR(pr , m), the minimum Hamming distance of the block code, and the average value of the homogeneous weight applied on the base ring Zpr. Examples are given of Galois ring codes that meet these bounds.
  • Keywords
    Galois fields; Hamming codes; block codes; linear codes; Galois ring; linear block codes image; minimum Hamming distance; minimum homogeneous distance bounds; Additives; Block codes; Concrete; Educational institutions; Galois fields; Hamming distance; Lattices; Modules (abstract algebra); Physics; Polynomials; Galois rings; Plotkin bound; homogeneous weight;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2007. ISIT 2007. IEEE International Symposium on
  • Conference_Location
    Nice
  • Print_ISBN
    978-1-4244-1397-3
  • Type

    conf

  • DOI
    10.1109/ISIT.2007.4557510
  • Filename
    4557510
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2028429