---
_id: '12233'
abstract:
- lang: eng
  text: A novel recursive list decoding (RLD) algorithm for Reed-Muller (RM) codes
    based on successive permutations (SP) of the codeword is presented. A low-complexity
    SP scheme applied to a subset of the symmetry group of RM codes is first proposed
    to carefully select a good codeword permutation on the fly. Then, the proposed
    SP technique is integrated into an improved RLD algorithm that initializes different
    decoding paths with random codeword permutations, which are sampled from the full
    symmetry group of RM codes. Finally, efficient latency and complexity reduction
    schemes are introduced that virtually preserve the error-correction performance
    of the proposed decoder. Simulation results demonstrate that at the target frame
    error rate of 10−3 for the RM code of length 256 with 163 information bits, the
    proposed decoder reduces 6% of the computational complexity and 22% of the decoding
    latency of the state-of-the-art semi-parallel simplified successive-cancellation
    decoder with fast Hadamard transform (SSC-FHT) that uses 96 permutations from
    the full symmetry group of RM codes, while relatively maintaining the error-correction
    performance and memory consumption of the semi-parallel permuted SSC-FHT decoder.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nghia
  full_name: Doan, Nghia
  last_name: Doan
- first_name: Seyyed Ali
  full_name: Hashemi, Seyyed Ali
  last_name: Hashemi
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Warren J.
  full_name: Gross, Warren J.
  last_name: Gross
citation:
  ama: Doan N, Hashemi SA, Mondelli M, Gross WJ. Decoding Reed-Muller codes with successive
    codeword permutations. <i>IEEE Transactions on Communications</i>. 2022;70(11):7134-7145.
    doi:<a href="https://doi.org/10.1109/tcomm.2022.3211101">10.1109/tcomm.2022.3211101</a>
  apa: Doan, N., Hashemi, S. A., Mondelli, M., &#38; Gross, W. J. (2022). Decoding
    Reed-Muller codes with successive codeword permutations. <i>IEEE Transactions
    on Communications</i>. Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/tcomm.2022.3211101">https://doi.org/10.1109/tcomm.2022.3211101</a>
  chicago: Doan, Nghia, Seyyed Ali Hashemi, Marco Mondelli, and Warren J. Gross. “Decoding
    Reed-Muller Codes with Successive Codeword Permutations.” <i>IEEE Transactions
    on Communications</i>. Institute of Electrical and Electronics Engineers, 2022.
    <a href="https://doi.org/10.1109/tcomm.2022.3211101">https://doi.org/10.1109/tcomm.2022.3211101</a>.
  ieee: N. Doan, S. A. Hashemi, M. Mondelli, and W. J. Gross, “Decoding Reed-Muller
    codes with successive codeword permutations,” <i>IEEE Transactions on Communications</i>,
    vol. 70, no. 11. Institute of Electrical and Electronics Engineers, pp. 7134–7145,
    2022.
  ista: Doan N, Hashemi SA, Mondelli M, Gross WJ. 2022. Decoding Reed-Muller codes
    with successive codeword permutations. IEEE Transactions on Communications. 70(11),
    7134–7145.
  mla: Doan, Nghia, et al. “Decoding Reed-Muller Codes with Successive Codeword Permutations.”
    <i>IEEE Transactions on Communications</i>, vol. 70, no. 11, Institute of Electrical
    and Electronics Engineers, 2022, pp. 7134–45, doi:<a href="https://doi.org/10.1109/tcomm.2022.3211101">10.1109/tcomm.2022.3211101</a>.
  short: N. Doan, S.A. Hashemi, M. Mondelli, W.J. Gross, IEEE Transactions on Communications
    70 (2022) 7134–7145.
date_created: 2023-01-16T09:50:38Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2023-08-04T09:34:43Z
day: '01'
department:
- _id: MaMo
doi: 10.1109/tcomm.2022.3211101
external_id:
  arxiv:
  - '2109.02122'
  isi:
  - '000937284600006'
intvolume: '        70'
isi: 1
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2109.02122'
month: '11'
oa: 1
oa_version: Preprint
page: 7134-7145
publication: IEEE Transactions on Communications
publication_identifier:
  eissn:
  - 1558-0857
  issn:
  - 0090-6778
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Decoding Reed-Muller codes with successive codeword permutations
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 70
year: '2022'
...