Extended Single Parity Check Product Codes that Achieve Close-to-Capacity Performance in High Coding Rate

Abstract

This letter proposes extended single parity check product codes and presents their empirical performances on a Gaussian channel by belief propagation (BP) decoding algorithm. The simulation results show that the codes can achieve close-to-capacity performance in high coding rate. The code of length 9603 and of rate 0.96 is only 0.77dB away from the Shannon limit for a BER of 10^-5.