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Polar codes are capacity-achieving error-correcting codes with an explicit construction that can be decoded with low-complexity algorithms. In this work, we show how the state-of-the-art low-complexity decoding algorithm can be improved to…

Information Theory · Computer Science 2016-08-29 Pascal Giard , Alexios Balatsoukas-Stimming , Gabi Sarkis , Claude Thibeault , Warren J. Gross

We propose a novel construction of product codes for high-density magnetic recording based on binary low-density parity check (LDPC) codes and binary image of Reed Solomon (RS) codes. Moreover, two novel algorithms are proposed to decode…

Information Theory · Computer Science 2012-01-06 Vo Tam Van , Seiichi Mita

We discuss how the presence of gauge sub-systems in the Bacon-Shor code [D. Bacon, Phys. Rev. A 73, 012340 (2006)] leads to remarkably simple and efficient methods for fault-tolerant error correction (FTEC). Most notably, FTEC does not…

Quantum Physics · Physics 2007-06-13 Panos Aliferis , Andrew W. Cross

Finite alphabet iterative decoders (FAIDs) for LDPC codes were recently shown to be capable of surpassing the Belief Propagation (BP) decoder in the error floor region on the Binary Symmetric channel (BSC). More recently, the technique of…

Information Theory · Computer Science 2012-07-20 Shiva Kumar Planjery , Bane Vasic , David Declercq

We propose a novel soft-aided hard-decision decoding algorithm for general product-like codes. It achieves error correcting performance similar to that of a soft-decision turbo decoder for staircase and OFEC codes, while maintaining a low…

Information Theory · Computer Science 2024-05-01 Lukas Rapp , Sisi Miao , Laurent Schmalen

This paper introduces a new approach to cost-effective, high-throughput hardware designs for Low Density Parity Check (LDPC) decoders. The proposed approach, called Non-Surjective Finite Alphabet Iterative Decoders (NS-FAIDs), exploits the…

Signal Processing · Electrical Eng. & Systems 2017-10-02 Thien Truong Nguyen-Ly , Valentin Savin , Khoa Le , David Declercq , Fakhreddine Ghaffari , Oana Boncalo

We investigate error propagation in sliding window decoding of braided convolutional codes (BCCs). Previous studies of BCCs have focused on iterative decoding thresholds, minimum distance properties, and their bit error rate (BER)…

Information Theory · Computer Science 2020-04-30 Min Zhu , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello, , Baoming Bai

Products codes (PCs) are conventionally decoded with efficient iterative bounded-distance decoding (iBDD) based on hard-decision channel outputs which entails a performance loss compared to a soft-decision decoder. Recently, several hybrid…

Information Theory · Computer Science 2022-11-22 Sisi Miao , Lukas Rapp , Laurent Schmalen

Current quantum processors are fragile, noisy and fairly limited in both quantity and quality with tens of qubits and physical error rates of around 10^-3. To realize practical quantum applications, however, error rates need to be below…

Quantum Physics · Physics 2025-04-25 Hany Ali

Quantum error correction (QEC) is essential for realizing large-scale, fault-tolerant quantum computation, yet its practical implementation remains a major engineering challenge. In particular, QEC demands precise real-time control of a…

Quantum Physics · Physics 2026-03-18 Junyi Liu , Yi Lee , Yilun Xu , Gang Huang , Xiaodi Wu

Due to the high sensitivity of qubits to environmental noise, which leads to decoherence and information loss, active quantum error correction(QEC) is essential. Surface codes represent one of the most promising fault-tolerant QEC schemes,…

Hardware Architecture · Computer Science 2025-07-08 Hao Wang , Erjia Xiao , Wenbo Mu , Songhuan He , Zhongyi Ni , Lingfeng Zhang , Xiaokun Zhan , Yifei Cui , Jinguo Liu , Cheng Wang , Zhongrui Wang , Renjing Xu

Quantum error correction (QEC) enables reliable computation on noisy hardware by encoding logical information across many physical qubits and periodically measuring parities to detect errors. A decoder is the classical algorithm that uses…

Programming Languages · Computer Science 2026-03-23 Abtin Molavi , Feras Saad , Aws Albarghouthi

Quantum error mitigation (QEM) is typically viewed as a suite of practical techniques for today's noisy intermediate-scale quantum devices, with limited relevance once fault-tolerant quantum computers become available. In this work, we…

Quantum Physics · Physics 2025-12-11 Zeyuan Zhou , Shaun Pexton , Aleksander Kubica , Yongshan Ding

Performance monitoring is an essential function for margin measurements in live systems. Historically, system budgets have been described by the Q-factor converted from the bit error rate (BER) under binary modulation and direct detection.…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Tsuyoshi Yoshida , Mikael Mazur , Jochen Schröder , Magnus Karlsson , Erik Agrell

This paper proposes a complete IFoF system architecture derived from simplified IEEE802.15.3c PHY layer proposal to successfully ensure near 1 Gbps on the air interface. The system architecture utilizes low complexity baseband processing…

Networking and Internet Architecture · Computer Science 2010-11-10 Lahatra Rakotondrainibe , I. Siaud , Y. Kokar , G. Zaharia , F. Brunet , E. Tanguy , G. El Zein

Quantum computers could solve problems beyond the reach of classical devices, but this potential depends on quantum error correction (QEC) to protect fragile quantum states from noise. A central challenge in QEC is decoding: inferring…

Quantum Physics · Physics 2026-04-28 Tianyi Xu , Qinglong Liu , Maolin Wang , Fei Zhang , Zhe Zhao , Yang Wang , Ye Wei

Storage systems have a strong need for substantially improving their error correction capabilities, especially for long-term storage where the accumulating errors can exceed the decoding threshold of error-correcting codes (ECCs). In this…

Information Theory · Computer Science 2018-11-12 Pulakesh Upadhyaya , Anxiao , Jiang

We present a novel method for error correction in the presence of fading channel estimation errors (CEE). When such errors are significant, considerable performance losses can be observed if the wireless transceiver is not adapted. Instead…

Information Theory · Computer Science 2025-06-18 Charles Wiame , Ken R. Duffy , Muriel Médard

This paper deals with two main issues regarding the short polar codes: the potential of FEC-assisted decoding and optimal code concatenation strategies under various design scenarios. Code concatenation and FEC-assisted decoding are…

Information Theory · Computer Science 2016-07-26 Mohammad Sadegh Mohammadi , Eryk Dutkiewicz , Qi Zhang

Error Detection and Correction Codes (ECCs) are often used in digital designs to protect data integrity. Especially in safety-critical systems such as automotive electronics, ECCs are widely used and the verification of such complex logic…

Artificial Intelligence · Computer Science 2024-04-30 Aman Kumar