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Electronics 2019, 8(1), 10;

Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code

Instituto de Telecomunicaciones y Aplicaciones Multimedia, Universitat Politècnica de València, 46022 Valencia, Spain
ARIES Research Center, Universidad Antonio de Nebrija, 28040 Madrid, Spain
Author to whom correspondence should be addressed.
Received: 17 November 2018 / Revised: 11 December 2018 / Accepted: 13 December 2018 / Published: 21 December 2018
(This article belongs to the Special Issue VLSI Architecture Design for Digital Signal Processing)
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In this work, we present a new architecture for soft-decision Reed–Solomon (RS) Low-Complexity Chase (LCC) decoding. The proposed architecture is scalable and can be used for a high number of test vectors. We propose a novel Multiplicity Assignment stage that sorts and stores only the location of the errors inside the symbols and the powers of α that identify the positions of the symbols in the frame. Novel schematics for the Syndrome Update and Symbol Modification blocks that are adapted to the proposed sorting stage are also presented. We also propose novel solutions for the problems that arise when a high number of test vectors is processed. We implemented three decoders: a η = 4 LCC decoder and two decoders that only decode 31 and 60 test vectors of true η = 5 and η = 6 LCC decoders, respectively. For example, our η = 4 decoder requires 29% less look-up tables in Virtex-V Field Programmable Gate Array (FPGA) devices than the best soft-decision RS decoder published to date, while has a 0.07 dB coding gain over that decoder. View Full-Text
Keywords: FEC; Low-Complexity Chase; Reed–Solomon; Soft-Decision Decoding FEC; Low-Complexity Chase; Reed–Solomon; Soft-Decision Decoding

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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 (CC BY 4.0).

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Torres, V.; Valls, J.; Canet, M.J.; García-Herrero, F. Soft-Decision Low-Complexity Chase Decoders for the RS(255,239) Code. Electronics 2019, 8, 10.

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