Decoding Reed-Muller Codes Using Redundant Code Constraints
Paper in proceedings, 2020

The recursive projection-aggregation (RPA) decoding algorithm for Reed-Muller (RM) codes was recently introduced by Ye and Abbe. We show that the RPA algorithm is closely related to (weighted) belief-propagation (BP) decoding by interpreting it as a message-passing algorithm on a factor graph with redundant code constraints. We use this observation to introduce a novel decoder tailored to high-rate RM codes. The new algorithm relies on puncturing rather than projections and is called recursive puncturing-aggregation (RXA). We also investigate collapsed (i.e., non-recursive) versions of RPA and RXA and show some examples where they achieve similar performance with lower decoding complexity.


Mengke Lian

Duke University

Christian Häger

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

Henry D. Pfister

Duke University

IEEE International Symposium on Information Theory - Proceedings

21578095 (ISSN)

42-47 9174087

2020 IEEE International Symposium on Information Theory, ISIT 2020
Los Angeles, CA, USA,

Coding for terabit-per-second fiber-optical communications (TERA)

European Commission (EC), 2017-01-01 -- 2019-12-31.

Areas of Advance

Information and Communication Technology

Subject Categories

Communication Systems



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