A study of non-binary product codes and their turbo decoding

ZAKARIA M'RABET; FOUAD AYOUB; MOSTAFA BELKASMI

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A study of non-binary product codes and their turbo decoding

Author(s)

ZAKARIA M'RABET ICES Team, ENSIAS, Mohammed V University in Rabat, Morocco

FOUAD AYOUB ERIATC Team, LaREAMI Lab, CRMEF-K, Kenitra, Morocco

MOSTAFA BELKASMI ICES Team, ENSIAS, Mohammed V University in Rabat, Morocco

Abstract

In this paper we study a family of non-binary product codes (nb-PC) constructed from the family of low density parity check (LDPC) codes known as Euclidean geometry (EG) codes. A coding/decoding scheme of these non-binary product codes (nb-PC) is presented where the turbo decoder is based on a soft input soft output (SISO) decoder suitable for non- binary one-step majority-logic decodable (OSMLD) codes, which is described in details in this work. We study the effect of iterations on the performance of our (PC) decoder, and exhibit the symbol and block error rates of some constructed codes transmitted over Additive Gaussian Noise (AWGN) channel. The obtained results are satisfying.

Publication Details

Page(s) 4859-4868

DOI DOI not available

Published Journal: Journal of Theoretical and Applied Information Technology, Volume: 100, Issue: 24, Year: 2022

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Keywords

Turbo Decoding, Low Density Parity Check (LDPC) Codes., One-Step Majority-Logic Decodable (OSMLD) Codes, Non-Binary, Product Codes

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