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In this paper, we use reinforcement learning to find effective decoding strategies for binary linear codes. We start by reviewing several iterative decoding algorithms that involve a decision-making process at each step, including…

Information Theory · Computer Science 2019-12-10 Fabrizio Carpi , Christian Häger , Marco Martalò , Riccardo Raheli , Henry D. Pfister

Braided convolutional codes (BCCs) are a class of spatially coupled turbo-like codes that can be described by a $(2,3)$-regular compact graph. In this paper, we introduce a family of $(d_v,d_c)$-regular GLDPC codes with convolutional code…

Information Theory · Computer Science 2020-02-14 Muhammad Umar Farooq , Saeedeh Moloudi , Michael Lentmaier

The problem of low complexity, close to optimal, channel decoding of linear codes with short to moderate block length is considered. It is shown that deep learning methods can be used to improve a standard belief propagation decoder,…

Information Theory · Computer Science 2018-03-14 Eliya Nachmani , Elad Marciano , Loren Lugosch , Warren J. Gross , David Burshtein , Yair Beery

The realization of fault-tolerant quantum computers hinges on the construction of high-speed, high-accuracy, real-time decoding systems. The persistent challenge lies in the fundamental trade-off between speed and accuracy: efforts to…

Quantum Physics · Physics 2025-10-30 Riki Toshio , Kaito Kishi , Jun Fujisaki , Hirotaka Oshima , Shintaro Sato , Keisuke Fujii

A class of two-bit bit flipping algorithms for decoding low-density parity-check codes over the binary symmetric channel was proposed in [1]. Initial results showed that decoders which employ a group of these algorithms operating in…

Information Theory · Computer Science 2012-05-22 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin

We propose a novel soft-aided iterative decoding algorithm for product codes (PCs). The proposed algorithm, named iterative bounded distance decoding with combined reliability (iBDD-CR), enhances the conventional iterative bounded distance…

Information Theory · Computer Science 2021-09-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Alex Alvarado

We study the theoretical performance of a combined approach to demodulation and decoding of binary continuous-phase modulated signals under repetition-like codes. This technique is motivated by a need to transmit packetized or framed data…

Information Theory · Computer Science 2014-04-28 Gaurav Thakur

In this paper, we present the block Markov superposition transmission of BCH (BMST-BCH) codes, which can be constructed to obtain a very low error floor. To reduce the implementation complexity, we design a low complexity iterative…

Information Theory · Computer Science 2017-08-22 Suihua Cai , Nina Lin , Xiao Ma

Finite alphabet iterative decoders (FAID) with multilevel messages that can surpass BP in the error floor region for LDPC codes on the BSC were previously proposed. In this paper, we propose decimation-enhanced decoders. The technique of…

Information Theory · Computer Science 2011-03-07 Shiva Kumar Planjery , Bane Vasic , David Declercq

Staircase codes (SCCs) are typically decoded using iterative bounded-distance decoding (BDD) and hard decisions. In this paper, a novel decoding algorithm is proposed, which partially uses soft information from the channel. The proposed…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Yi Lei , Bin Chen , Gabriele Liga , Xiong Deng , Zizheng Cao , Jianqiang Li , Kun Xu , Alex Alvarado

Efficient communication in wireless networks is typically challenged by the possibility of interference among several transmitting nodes. Much important research has been invested in decreasing the number of collisions in order to obtain…

Networking and Internet Architecture · Computer Science 2012-08-31 Keren Censor-Hillel , Bernhard Haeupler , Nancy Lynch , Muriel Médard

We propose a new class of error correction codes for low-delay streaming communication. We consider an online setup where a source packet arrives at the encoder every $M$ channel uses, and needs to be decoded with a maximum delay of $T$…

Information Theory · Computer Science 2016-11-17 Ahmed Badr , Pratik Patil , Ashish Khisti , Wai-Tian Tan , John Apostolopoulos

A Viterbi-like decoding algorithm is proposed in this paper for generalized convolutional network error correction coding. Different from classical Viterbi algorithm, our decoding algorithm is based on minimum error weight rather than the…

Information Theory · Computer Science 2019-02-12 Hengjie Yang , Wangmei Guo

Staircase codes (SCCs) are typically decoded using iterative bounded-distance decoding (BDD) and hard decisions. In this paper, a novel decoding algorithm is proposed, which partially uses soft information from the channel. The proposed…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Yi Lei , Alex Alvarado , Bin Chen , Xiong Deng , Zizheng Cao , Jianqiang Li , Kun Xu

In an arbitrarily varying channel (AVC), the channel has a state which is under the control of an adversarial jammer and the corresponding capacities are often functions of the "power" constraints on the transmitter and jammer. In this…

Information Theory · Computer Science 2025-04-29 Bikash Kumar Dey , Sidharth Jaggi , Michael Langberg , Anand D. Sarwate , Yihan Zhang

This paper explores the design of convolutional codes for varying constraint lengths, focusing on their role in error correction in digital communication systems. Convolutional codes are essential in achieving reliable data transmission…

Information Theory · Computer Science 2024-10-03 Parag Dhounde , Avinash Bhute

It is known that windowed decoding (WD) can effectively balance the performance and complexity of spatially coupled low-density parity-check (LDPC) codes. In this study, we show that information can propagate in a wave-like manner at a…

Information Theory · Computer Science 2025-07-10 Qingqing Peng , Dongxu Chang , Guanghui Wang , Guiying Yan

Efficient decoding is crucial to high-throughput and power-sensitive wireless communication scenarios. A theoretical analysis of the performance-complexity tradeoff toward low-complexity decoding is required for a better understanding of…

Information Theory · Computer Science 2025-11-12 Qingqing Peng , Dawei Yin , Dongxu Chang , Yuan Li , Huazi Zhang , Guiying Yan , Guanghui Wang

In this work, we introduce convolutional codes for network-error correction in the context of coherent network coding. We give a construction of convolutional codes that correct a given set of error patterns, as long as consecutive errors…

Information Theory · Computer Science 2009-08-06 K. Prasad , B. Sundar Rajan

In this paper, we propose a neural window decoder (NWD) for spatially coupled low-density parity-check (SC-LDPC) codes. The proposed NWD retains the conventional window decoder (WD) process but incorporates trainable neural weights. To…

Machine Learning · Computer Science 2026-01-30 Dae-Young Yun , Hee-Youl Kwak , Yongjune Kim , Sang-Hyo Kim , Jong-Seon No