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Journal of Electrical and Computer Engineering
Volume 2012 (2012), Article ID 609650, 8 pages
Research Article

Reduced Complexity Iterative Decoding of 3D-Product Block Codes Based on Genetic Algorithms

1Department of Industrial and Production Engineering, Moulay Ismail University, Ecole Nationale Supérieure d'Arts et Métiers, Meknès 50000, Morocco
2Department of Communication Networks, Ecole Nationale Supérieure d'Informatique et d'Analyse des Systèmes, Rabat 10000, Morocco

Received 15 September 2011; Revised 21 December 2011; Accepted 8 February 2012

Academic Editor: Lisimachos Kondi

Copyright © 2012 Abdeslam Ahmadi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Two iterative decoding algorithms of 3D-product block codes (3D-PBC) based on genetic algorithms (GAs) are presented. The first algorithm uses the Chase-Pyndiah SISO, and the second one uses the list-based SISO decoding algorithm (LBDA) based on order- 𝑖 reprocessing. We applied these algorithms over AWGN channel to symmetric 3D-PBC constructed from BCH codes. The simulation results show that the first algorithm outperforms the Chase-Pyndiah one and is only 1.38 dB away from the Shannon capacity limit at BER of 1 0 5 for BCH (31, 21, 5)3 and 1.4 dB for BCH (16, 11, 4)3. The simulations of the LBDA-based GA on the BCH (16, 11, 4)3 show that its performances outperform the first algorithm and is about 1.33 dB from the Shannon limit. Furthermore, these algorithms can be applied to any arbitrary 3D binary product block codes, without the need of a hard-in hard-out decoder. We show also that the two proposed decoders are less complex than both Chase-Pyndiah algorithm for codes with large correction capacity and LBDA for large 𝑖 parameter. Those features make the decoders based on genetic algorithms efficient and attractive.