Parallel and serial concatenated single parity check product codes

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.