• DocumentCode
    796422
  • Title

    On the covering radius of R(1, m) in R(3, m)

  • Author

    Hou, Xiang-Dong

  • Author_Institution
    Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
  • Volume
    42
  • Issue
    3
  • fYear
    1996
  • fDate
    5/1/1996 12:00:00 AM
  • Firstpage
    1035
  • Lastpage
    1037
  • Abstract
    We prove that the covering radius of R(1, 11) in R(3, 11) is 992, and that the covering radius of R(1, 13) in R(3, 13) is 4032, both not exceeding the quadratic bound
  • Keywords
    Reed-Muller codes; Reed-Muller codes; algebra; covering radius; quadratic bound; Algebra; Fourier transforms; Hamming distance; Hamming weight; Mathematics; Portable media players; Statistics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.490572
  • Filename
    490572