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High Performance Decoding by Combination of the Hartmann Rudolph Decoder and Soft Decision Decoding by Hash Techniques

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Digital Technologies and Applications (ICDTA 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 211))

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Abstract

Decoding algorithms are used to recover information after its transmission through an unreliable radio channel. Soft decision decoding is very performant in concatenation solutions that exploit many decoding stages. Therefore, we carry out a combination of a symbol-by-symbol decoder, which is Hartmann Rudolph (HR) algorithm, and the Soft Decision Decoder by Hash Techniques (SDHT) as a word-to-word decoder. In this paper, we introduce a concatenation of HR Partially exploited (PHR) and the SDHT algorithm to decode Bose-Chaudhuri-Hocquenghem (BCH) codes. This scheme enables at first to employ Hartmann Rudolph algorithm using only a part of the dual codewords, then the output of PHR is treated by the SDHT. Our proposed serial concatenation guarantees very good performances although we use very low percentage of the dual code space. As instance for the BCH(31, 21, 5) code, the obtained good results are based only on 21.29% of the dual codewords.

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Faham, H., El Kasmi Alaoui, M.S., Nouh, S., Azzouazi, M. (2021). High Performance Decoding by Combination of the Hartmann Rudolph Decoder and Soft Decision Decoding by Hash Techniques. In: Motahhir, S., Bossoufi, B. (eds) Digital Technologies and Applications. ICDTA 2021. Lecture Notes in Networks and Systems, vol 211. Springer, Cham. https://doi.org/10.1007/978-3-030-73882-2_71

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