• DocumentCode
    1343254
  • Title

    The Reed-Muller code R(r,m) is not Z4-linear for 3⩽r⩽m-2

  • Author

    Hou, Xiang-Dong ; Lahtonen, Jyrki T. ; Koponen, Sami

  • Author_Institution
    Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
  • Volume
    44
  • Issue
    2
  • fYear
    1998
  • fDate
    3/1/1998 12:00:00 AM
  • Firstpage
    798
  • Lastpage
    799
  • Abstract
    After a discussion of automorphisms of Reed-Muller codes the authors show that the Reed-Muller code R(r,m) is not Z4 -linear for 3⩽r⩽m-2, proving a conjecture by Hammons, Kumar, Calderbank, Sloane, and Sole (1994)
  • Keywords
    Reed-Muller codes; Reed-Muller code R(r,m); automorphisms; binary codes; Automata; Binary codes; Context modeling; Data compression; Entropy; Equations; Information theory; Linear code; Publishing; Source coding;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.661524
  • Filename
    661524
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1343254