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Extended Single Parity Check Product Codes that Achieve Close-to-Capacity Performance in High Coding Rate
Akira SHIOZAKI Masashi KISHIMOTO Genmon MARUOKA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2010/09/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Coding Theory
error-correction, parity check codes, product codes, belief propagation decoding, soft-decision decoding,
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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 0.77 dB away from the Shannon limit for a BER of 10-5.