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Recursive/Iterative unique Projection-Aggregation decoding of Reed-Muller codes

Marzieh Hashemipour-Nazari (Eindhoven University of Technology); Renate Debets (Eindhoven University of Technology); Kees Goossens (Eindhoven University of Technology); Alexios Balatsoukas-Stimming (Eindhoven University of Technology)

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07 Jun 2023

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 lower than the baseline RPA algorithm.