Iterative List Decoding of Some LDPC Codes

  • Authors:
  • J. Justesen;T. Hoholdt;J. Hjaltason

  • Affiliations:
  • Tech. Univ. of Denmark, Lyngby;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2007

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Abstract

We present an iterative list decoding algorithm for low-density parity-check (LDPC) codes. In particular we apply this decoder to a class of LDPC codes from finite geometries and show that the (73,45,10) projective geometry code can be maximum-likelihood (ML) decoded with low complexity. Moreover, the list decoding approach enables us to give a theoretical analysis of the performance. We also consider list bit-flipping (BF) decoding of longer LDPC codes.