• DocumentCode
    934848
  • Title

    A Simplified Step-by-Step Decoding Algorithm for Parallel Decoding of Reed–Solomon Codes

  • Author

    Liu, Xiaobei ; Lu, Chao ; Cheng, Tee Hiang ; Koh, Soo Ngee

  • Author_Institution
    Nanyang Technol. Univ.
  • Volume
    55
  • Issue
    6
  • fYear
    2007
  • fDate
    6/1/2007 12:00:00 AM
  • Firstpage
    1103
  • Lastpage
    1109
  • Abstract
    A simplified parallel step-by-step decoding algorithm is proposed for decoding Reed-Solomon (RS) codes. It uses new method to calculate the determinants of the temporarily changed syndrome matrices, based on the property of these matrices determined in this paper. By using the proposed method, the calculations of the determinants of the temporarily changed syndrome matrices become much simpler and thus the computational complexity of the step-by-step decoding algorithm is significantly reduced.
  • Keywords
    Reed-Solomon codes; computational complexity; decoding; Reed-Solomon codes; computational complexity; parallel decoding; step-by-step decoding algorithm; temporarily changed syndrome matrices; Chaotic communication; Communications Society; Computational complexity; Decoding; Delay; Error correction codes; Galois fields; Polynomials; Signal processing; Testing;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOMM.2007.898703
  • Filename
    4237464