Improving the List Decoding Version of the Cyclically Equivariant Neural Decoder
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Abstract (arXiv)
The cyclically equivariant neural decoder was recently proposed in [Chen-Ye, International Conference on Machine Learning, 2021] to decode cyclic codes. In the same paper, a list decoding procedure was also introduced for two widely used classes of cyclic codes -- BCH codes and punctured Reed-Muller (RM) codes. While the list decoding procedure significantly improves the Frame Error Rate (FER) of the cyclically equivariant neural decoder, the Bit Error Rate (BER) of the list decoding procedure is even worse than the unique decoding algorithm when the list size is small. In this paper, we propose an improved version of the list decoding algorithm for BCH codes and punctured RM codes. Our new proposal significantly reduces the BER while maintaining the same (in some cases even smaller) FER. More specifically, our new decoder provides up to 2dB gain over the previous list decoder when measured by BER, and the running time of our new decoder is 15% smaller. Code available at https://github.com/improvedlistdecoder/code
Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 10 of its 17 references that are in the map. First posted on arXiv 15 Jun 2021.
Builds on
10 of 17 references.
References · 10
- 2017Deep Learning Methods for Improved Decoding of Linear Codescited by 66
- 2016Learning to Decode Linear Codes Using Deep Learningcited by 60
- 2018Communication Algorithms via Deep Learningcited by 42
- 2019Hyper-Graph-Network Decoders for Block Codescited by 42
- 2019Turbo Autoencoder: Deep learning based channel codes for point-to-point communication channelscited by 42
- 2018Deepcode: Feedback Codes via Deep Learningcited by 41
- 2021Cyclically Equivariant Neural Decoders for Cyclic Codescited by 12
- 2019Reinforcement Learning for Channel Coding: Learned Bit-Flipping Decodingcited by 10
- 2020Pruning Neural Belief Propagation Decoderscited by 10
- 2018Low-complexity Recurrent Neural Network-based Polar Decoder with Weight Quantization Mechanismcited by 8
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