• DocumentCode
    987621
  • Title

    Quaternary Reed-Muller codes

  • Author

    Borges, Joaquim ; Fernández, Cristina ; Phelps, Kevin T.

  • Author_Institution
    Comput. Sci. Dept., Autonomous Univ. of Barcelona, Spain
  • Volume
    51
  • Issue
    7
  • fYear
    2005
  • fDate
    7/1/2005 12:00:00 AM
  • Firstpage
    2686
  • Lastpage
    2691
  • Abstract
    The class of quaternary Reed-Muller codes is introduced as a generalization of Reed-Muller codes to Z4-linear codes. Properties of this class of codes are established including the rank and kernel of the Gray map image of codes in this class. The class includes all Z4-linear Kerdock-like and Preparata-like codes.
  • Keywords
    Gray codes; Reed-Muller codes; linear codes; Gray map image coding; Kerdock-like code; Preparata-like code; linear code; quaternary Reed-Muller code; Additives; Binary codes; Block codes; Computer science; Kernel; Linear code; Vectors; Kernel; Reed–Muller; quaternary Reed–Muller (QRM); quaternary codes; rank;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2005.850148
  • Filename
    1459068
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=987621