Fast decoding of non-binary first order Reed-Muller codes

  • Alexey E. Ashikhmin
  • Simon N. Litsyn


A minimum distance decoding algorithm for non-binary first order Reed-Muller codes is described. Suggested decoding is based on a generalization of the fast Hadamard transform to the non-binary case. We also propose a fast decoding algorithm for non-binary first order Reed-Muller codes with complexity proportional to the length of the code. This algorithm provides decoding within the limits guaranteed by the minimum distance of the code.


Fast decoding algorithms Reed-Muller codes 


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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Alexey E. Ashikhmin
    • 1
  • Simon N. Litsyn
    • 2
  1. 1.Institute for Problems of Information TransmissionMoscowRussia
  2. 2.Department of Electrical Engineering -SystemsTel-Aviv UniversityRamat AvivIsrael

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