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Recursive/Iterative unique Projection-Aggregation of RM codes

Information Theory 2022-10-31 v1 Signal Processing math.IT

Abstract

We describe recursive unique projection-aggregation (RUPA) decoding and iterative unique projection-aggregation (IUPA) decoding of Reed-Muller (RM) codes, which remove non-unique projections from the recursive projection-aggregation (RPA) and iterative projection-aggregation (IPA) algorithms respectively. We show that these algorithms have competitive error-correcting performance while requiring up to 95% projections less than the baseline RPA algorithm.

Cite

@article{arxiv.2210.16227,
  title  = {Recursive/Iterative unique Projection-Aggregation of RM codes},
  author = {Marzieh Hashemipour-Nazari and Renate Debets and Kees Goossens and Alexios Balatsoukas-Stimming},
  journal= {arXiv preprint arXiv:2210.16227},
  year   = {2022}
}
R2 v1 2026-06-28T04:43:47.969Z