• DocumentCode
    2384998
  • Title

    Recursive decoding of Reed-Muller codes

  • Author

    Dumer, Ilya ; Shabunov, Kirill

  • Author_Institution
    Coll. of Eng., California Univ., Riverside, CA, USA
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    63
  • Abstract
    We use the Plotkin (u,u+v)-construction for general Reed-Muller codes (m,r) and relegate decoding to the two constituent RM codes. First, we use the better protected code (m-1,r-1) to find a subblock v. Then we proceed with the block u from the code (m-l,r). We repeat this recursion on both halves and recalculate the reliabilities of the received symbols. In the end, we perform maximum likelihood decoding on the biorthogonal codes
  • Keywords
    Reed-Muller codes; block codes; error correction codes; error statistics; maximum likelihood decoding; Plotkin construction; Reed-Muller codes; biorthogonal codes; maximum likelihood decoding; received symbols reliability; recursive decoding; Bit error rate; Educational institutions; Error analysis; Error correction codes; Maximum likelihood decoding; Protection;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2000. Proceedings. IEEE International Symposium on
  • Conference_Location
    Sorrento
  • Print_ISBN
    0-7803-5857-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2000.866353
  • Filename
    866353