• DocumentCode
    847614
  • Title

    Constructions of codes from residue rings of polynomials

  • Author

    Xing, Chaoping

  • Author_Institution
    Dept. of Math., Nat. Univ. of Singapore, Singapore
  • Volume
    48
  • Issue
    11
  • fYear
    2002
  • fDate
    11/1/2002 12:00:00 AM
  • Firstpage
    2995
  • Lastpage
    2997
  • Abstract
    We present one construction for nonlinear codes and one construction for binary constant-weight codes based on residue rings of polynomials. It turns out that the first construction yields nonlinear codes with reasonable parameters, and a bound of Graham and Sloane (1980) is improved by the second construction
  • Keywords
    algebraic codes; binary codes; nonlinear codes; polynomials; algebraic structure; binary constant-weight codes; code construction; code parameters; nonlinear codes; polynomials; residue rings; Chaotic communication; Codes; Combinatorial mathematics; Galois fields; Geometry; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2002.804110
  • Filename
    1042350