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Article Details

Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

Iterative Threshold Decoding Of High Rates Quasi-Cyclic OSMLD Codes

Author 1: Karim Rkizat
Author 2: Anouar Yatribi
Author 3: Mohammed Lahmer
Author 4: Mostafa Belkasmi

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Digital Object Identifier (DOI) : 10.14569/IJACSA.2016.070468

Article Published in International Journal of Advanced Computer Science and Applications(IJACSA), Volume 7 Issue 4, 2016.

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Abstract: Majority logic decoding (MLD) codes are very powerful thanks to the simplicity of the decoder. Nevertheless, to find constructive families of these codes has been recognized to be a hard job. Also, the majority of known MLD codes are cyclic which are limited in the range of the rates. In this paper a new adaptation of the Iterative threshold decoding algorithm is considered, for decoding Quasi-Cyclic One Step Majority logic codes (QC-OSMLD) codes of high rates. We present the construction of QC-OSMLD codes based on Singer difference sets of rate 1/2, and codes of high rates based on Steiner triple system which allows to have a large choice of codes with different lengths and rates. The performances of this algorithm for decoding these codes on both Additive White Gaussian Noise (AWGN) channel and Rayleigh fading channel, to check its applicability in wireless environment, is investigated.

Keywords: Iterative threshold decoding; Quasi-Cyclic codes; OSMLD codes; Majority logic decoding; Steiner Triple System; BIBD

Karim Rkizat, Anouar Yatribi, Mohammed Lahmer and Mostafa Belkasmi, “Iterative Threshold Decoding Of High Rates Quasi-Cyclic OSMLD Codes” International Journal of Advanced Computer Science and Applications(IJACSA), 7(4), 2016. http://dx.doi.org/10.14569/IJACSA.2016.070468

@article{Rkizat2016,
title = {Iterative Threshold Decoding Of High Rates Quasi-Cyclic OSMLD Codes},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2016.070468},
url = {http://dx.doi.org/10.14569/IJACSA.2016.070468},
year = {2016},
publisher = {The Science and Information Organization},
volume = {7},
number = {4},
author = {Karim Rkizat and Anouar Yatribi and Mohammed Lahmer and Mostafa Belkasmi}
}


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