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[Keyword] a system of linear equations(1hit)

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  • Efficient Linear Time Encoding for LDPC Codes

    Tomoharu SHIBUYA  Kazuki KOBAYASHI  

     
    PAPER-Coding Theory

      Vol:
    E97-A No:7
      Page(s):
    1556-1567

    In this paper, we propose a new encoding method applicable to any linear codes over arbitrary finite field whose computational complexity is O(δ*n) where δ* and n denote the maximum column weight of a parity check matrix of a code and the code length, respectively. This means that if a code has a parity check matrix with the constant maximum column weight, such as LDPC codes, it can be encoded with O(n) computation. We also clarify the relation between the proposed method and conventional methods, and compare the computational complexity of those methods. Then we show that the proposed encoding method is much more efficient than the conventional ones.