• DocumentCode
    3085857
  • Title

    Additive Reed-Muller codes

  • Author

    Pujol, Jaume ; Rifà, Josep

  • Author_Institution
    Dept. d´´Inf., Univ. Autonoma de Barcelona, Spain
  • fYear
    1997
  • fDate
    29 Jun-4 Jul 1997
  • Firstpage
    508
  • Abstract
    We construct a new class of additive codes of type Z2 k1⊕Z4k2. These codes have a binary nonlinear structure, but it is possible to give a description of them as additive subgroups of Z2k1⊕Z4 k2. In this paper a generalization of linear Reed-Muller codes is obtained
  • Keywords
    Galois fields; Reed-Muller codes; error correction codes; Galois field; Reed-Muller codes; additive codes; additive subgroups; binary nonlinear structure; linear codes; Additives; Binary codes; Galois fields; Hamming weight; Parity check codes; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
  • Conference_Location
    Ulm
  • Print_ISBN
    0-7803-3956-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1997.613445
  • Filename
    613445
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3085857