Action-List Reinforcement Learning Syndrome Decoding for Binary Linear Block Codes

Fuente: arXiv
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Autori principali: Taghipour, Milad, Vasic, Bane
Natura: Preprint
Pubblicazione: 2025
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author Taghipour, Milad
Vasic, Bane
author_facet Taghipour, Milad
Vasic, Bane
contents This paper explores the application of reinforcement learning techniques to enhance the performance of decoding of linear block codes based on flipping bits and finding optimal decisions. We describe the methodology for mapping the iterative decoding process into Markov Decision Processes (MDPs) and propose different methods to reduce the number of states in the MDP. A truncated MDP is proposed to reduce the number of states in the MDP by learning a Hamming ball with a specified radius around codewords. We then propose a general scheme for reinforcement learning based decoders applicable to any class of codes to improve the performance of decoders. We call this scheme an action-list decoding. We design an action-list decoder based on the Deep-Q network values that substantially enhance performance. We also get benefit of automorphism group of code to further improve the code performance. Additionally, we propose a feedback-based method to exploit and enhance the performance of existing high-performing decoders by applying reinforcement learning algorithms after the existing decoders. These approaches effectively reduces the complexity of the reinforcement learning block. Finally, we present experimental results for the Low-Density Parity Check (LDPC) codes over the Binary Symmetric Channel (BSC) to demonstrate the efficiency of the proposed methods.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17893
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Action-List Reinforcement Learning Syndrome Decoding for Binary Linear Block Codes
Taghipour, Milad
Vasic, Bane
Information Theory
Artificial Intelligence
Machine Learning
This paper explores the application of reinforcement learning techniques to enhance the performance of decoding of linear block codes based on flipping bits and finding optimal decisions. We describe the methodology for mapping the iterative decoding process into Markov Decision Processes (MDPs) and propose different methods to reduce the number of states in the MDP. A truncated MDP is proposed to reduce the number of states in the MDP by learning a Hamming ball with a specified radius around codewords. We then propose a general scheme for reinforcement learning based decoders applicable to any class of codes to improve the performance of decoders. We call this scheme an action-list decoding. We design an action-list decoder based on the Deep-Q network values that substantially enhance performance. We also get benefit of automorphism group of code to further improve the code performance. Additionally, we propose a feedback-based method to exploit and enhance the performance of existing high-performing decoders by applying reinforcement learning algorithms after the existing decoders. These approaches effectively reduces the complexity of the reinforcement learning block. Finally, we present experimental results for the Low-Density Parity Check (LDPC) codes over the Binary Symmetric Channel (BSC) to demonstrate the efficiency of the proposed methods.
title Action-List Reinforcement Learning Syndrome Decoding for Binary Linear Block Codes
topic Information Theory
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2507.17893