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

Akira SHIOZAKI  Masashi KISHIMOTO  Genmon MARUOKA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E93-A    No.9    pp.1693-1696
Publication Date: 2010/09/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E93.A.1693
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Coding Theory
Keyword: 
error-correction,  parity check codes,  product codes,  belief propagation decoding,  soft-decision decoding,  

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Summary: 
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.