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Recursive/Iterative unique Projection-Aggregation of RM codes

Published 28 Oct 2022 in cs.IT, eess.SP, and math.IT | (2210.16227v1)

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.

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