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Non-uniform message quantization techniques such as reconstruction-computation-quantization (RCQ) improve error-correction performance and decrease hardware complexity of low-density parity-check (LDPC) decoders that use a flooding…

Signal Processing · Electrical Eng. & Systems 2021-04-20 Caleb Terrill , Linfang Wang , Sean Chen , Chester Hulse , Calvin Kuo , Richard Wesel , Dariush Divsalar

Linear Programming (LP) decoding of Low-Density Parity-Check (LDPC) codes has attracted much attention in the research community in the past few years. LP decoding has been derived for binary and nonbinary linear codes. However, the most…

Information Theory · Computer Science 2016-11-17 Mayur Punekar , Pascal O. Vontobel , Mark F. Flanagan

This letter describes how to improve performance of cellular systems by combining non-equiprobable signaling (shaping) with low-density parity check (LDPC) coding for an orthogonal frequency division multiplexing system. We focus on…

Signal Processing · Electrical Eng. & Systems 2026-02-03 Sandesh Rao Mattu , Nishant Mehrotra , Robert Calderbank

Quantum low-density parity check (qLDPC) codes offer higher encoding rate than topological codes, e.g. surface codes, making them favourable for practical, fault-tolerant quantum computing with low overhead. These codes are particularly…

Quantum Physics · Physics 2025-09-23 Susan X. Chen , Matthias C. Löbl , Ming Lai Chan , Anders S. Sørensen , Stefano Paesani

This paper is concerned with the application of nonbinary low-density parity-check (NB-LDPC) codes to binary input inter-symbol interference (ISI) channels. Two low-complexity joint detection/decoding algorithms are proposed. One is…

Information Theory · Computer Science 2012-09-13 Shancheng Zhao , Zhifei Lu , Xiao Ma , Baoming Bai

Quantum error correction (QEC) is critical for scalable and reliable quantum computing, but existing solutions, such as surface codes, incur significant qubit overhead. Quantum low-density parity check (qLDPC) codes have recently emerged as…

In this work, we introduce a new hardware architecture for decoding correlated errors in quantum LDPC codes. The decoder is based on message passing and exploits the structure of the detector error model obtained through the recently…

We present a two-step decoder for the parity code and evaluate its performance in code-capacity and faulty-measurement settings. For noiseless measurements, we find that the decoding problem can be reduced to a series of repetition codes…

Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes offer excellent decoding performance and can be elegantly decoded with a Windowed Decoder (WD). We determine an efficient WD configuration with low control overhead. For fair…

Signal Processing · Electrical Eng. & Systems 2020-04-28 Janik Frenzel , Stefan Müller-Weinfurtner , Johannes Huber , Ralf Müller

The development of multicore architectures supporting parallel data processing has led to a paradigm shift, which affects communication systems significantly. This article provides a scalable parallel approach of an iterative LDPC decoder,…

Information Theory · Computer Science 2020-01-31 Jan Broulim , Alexander Ayriyan , Vjaceslav Georgiev , Hovik Grigorian

The need for a high-performance transceiver with high Signal to Noise Ratio (SNR) has driven the communication system to utilize the latest technique identified as oversampling systems. It was the most economical modulator and decimation in…

Signal Processing · Electrical Eng. & Systems 2018-07-30 Rozita Teymourzadeh , Yazan Samir Algnabi , Masuri Othman , Md Shabiul Islam , Mok Vee Hong

Extracting and analyzing iris textures for biometric recognition has been extensively studied. As the transition of iris recognition from lab technology to nation-scale applications, most systems are facing high complexity in either time or…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Longyu Ma , Chiu-Wing Sham , Chun Yan Lo , Xinchao Zhong

This paper presents our low-latency Polar code encoders and decoders developed for the 2025 International Symposium on Topics in Coding (ISTC 2025) contest, which challenges participants to implement the fastest possible channel code…

Networking and Internet Architecture · Computer Science 2025-07-08 Mathieu Leonardon , Mohammed El Houcine Ayoubi , Adrien Cassagne , Romain Tajan , Camille Leroux

In theory, Polar codes do not exhibit an error floor under successive-cancellation (SC) decoding. In practice, frame error rate (FER) down to $10^{-12}$ has not been reported with a real SC list (SCL) decoder hardware. This paper presents…

Information Theory · Computer Science 2019-04-05 Jiajie Tong , Huazi Zhang , Lingchen Huang , Xiaocheng Liu , Jun Wang

We propose an easy-to-implement hard-decision majority-logic decoding algorithm for Reed-Muller codes RM(r,m) with m >= 3, m/2 >= r >= 1. The presented algorithm outperforms the best known majority-logic decoding algorithms and offers…

Information Theory · Computer Science 2018-07-03 Juliane Bertram , Peter Hauck , Michael Huber

Although quantum key distribution (QKD) comes from the development of quantum theory, the implementation of a practical QKD system does involve a lot of classical process, such as key reconciliation and privacy amplification, which is…

Quantum Physics · Physics 2015-05-26 Mo Li , Chun-Mei Zhang , Zhen-Qiang Yin , Wei Chen , Chuan Wang , Zheng-Fu Han

This work considers optimizing LDPC codes in the physical-layer network coded two-way relay channel using noncoherent FSK modulation. The error-rate performance of channel decoding at the relay node during the multiple-access phase was…

Information Theory · Computer Science 2015-02-23 Terry Ferrett , Matthew C. Valenti

Quantum low-density parity-check (QLDPC) codes with good parameters are promising candidates for low-overhead fault-tolerant quantum computing, but their non-local stabilizers require long-range connectivity and frequent qubit movement,…

Quantum Physics · Physics 2026-04-29 Swayangprabha Shaw , Narayanan Rengaswamy

The recent development of deep learning methods provides a new approach to optimize the belief propagation (BP) decoding of linear codes. However, the limitation of existing works is that the scale of neural networks increases rapidly with…

Information Theory · Computer Science 2021-02-11 Jincheng Dai , Kailin Tan , Zhongwei Si , Kai Niu , Mingzhe Chen , H. Vincent Poor , Shuguang Cui

Fixed-complexity Sphere Decoder (FSD) is a recently proposed technique for Multiple-Input Multiple-Output (MIMO) detection. It has several outstanding features such as constant throughput and large potential parallelism, which makes it…

Information Theory · Computer Science 2010-06-22 Bin Wu , Guido Masera