• DocumentCode
    1381617
  • Title

    Minimum-weight codewords as generators of generalized Reed-Muller codes

  • Author

    Ding, Peng ; Key, Jennifer D.

  • Author_Institution
    Dept. of Math. Sci., Clemson Univ., SC, USA
  • Volume
    46
  • Issue
    6
  • fYear
    2000
  • fDate
    9/1/2000 12:00:00 AM
  • Firstpage
    2152
  • Lastpage
    2158
  • Abstract
    We establish the range of values of ρ, where 0⩽ρ⩽m(q-1), for which the generalized Reed-Muller code RFq(ρ, m) of length qm over the field Fq of order q is spanned by its minimum-weight vectors
  • Keywords
    Reed-Muller codes; MDS codes; code length; extended Reed-Solomon codes; generalized Reed-Muller codes; maximum-distance-separable codes; minimum-weight codewords; minimum-weight vectors; Codes; Geometry; Helium; Polynomials; Power generation; Terminology; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.868484
  • Filename
    868484
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1381617