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Parallel and Serial Concatenated Single Parity Check Product Codes

Abstract

The parallel and serial concatenation of codes is well established as a practical means of achieving excellent performance. In this paper, we introduce the parallel and serial concatenation of single parity-check (SPC) product codes. The weight distribution of these codes is analyzed and the performance is bounded. Simulation results confirm these bounds at high signal-to-noise ratios. The performance of these codes (and some variants) is shown to be quite good given the low decoding complexity and reasonably short blocklengths.

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Correspondence to David M. Rankin.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Rankin, D.M., Gulliver, T.A. & Taylor, D.P. Parallel and Serial Concatenated Single Parity Check Product Codes. EURASIP J. Adv. Signal Process. 2005, 183140 (2005). https://doi.org/10.1155/ASP.2005.775

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Keywords and phrases:

  • parallel and serial concatenation
  • single parity-check product codes