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Fast classical processing is essential for most quantum fault-tolerance architectures. We introduce a sliding-window decoding scheme that provides fast classical processing for the surface code through parallelism. Our scheme divides the…

量子物理 · 物理学 2022-10-03 Xinyu Tan , Fang Zhang , Rui Chao , Yaoyun Shi , Jianxin Chen

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

Polar encoding, described by Arikan in IEEE Transactions on Information Theory, Vol. 55, No. 7, July 2009, was a milestone for telecommunications. A Polar code distributes information among high and low-capacity channels, showing the…

信息论 · 计算机科学 2025-07-29 Geraldo A. Barbosa

An efficient decoder is essential for quantum error correction, and data-driven neural decoders have emerged as promising, flexible solutions. Here, we introduce a diffusion model framework to infer logical errors from syndrome measurements…

量子物理 · 物理学 2025-09-29 Zejun Liu , Anqi Gong , Bryan K. Clark

Universal fault-tolerant quantum computation will require real-time decoding algorithms capable of quickly extracting logical outcomes from the stream of data generated by noisy quantum hardware. We propose modular decoding, an approach…

量子物理 · 物理学 2023-03-10 Héctor Bombín , Chris Dawson , Ye-Hua Liu , Naomi Nickerson , Fernando Pastawski , Sam Roberts

The decoding performance of polar codes strongly depends on the decoding algorithm used, while also the decoder throughput and its latency mainly depend on the decoding algorithm. In this work, we implement the powerful successive…

信息论 · 计算机科学 2016-12-22 Sebastian Cammerer , Benedikt Leible , Matthias Stahl , Jakob Hoydis , Stephan ten Brink

This paper investigates decoding of binary linear block codes over the binary erasure channel (BEC). Of the current iterative decoding algorithms on this channel, we review the Recovery Algorithm and the Guess Algorithm. We then present a…

信息论 · 计算机科学 2007-07-13 J. Cai , C. Tjhai , M. Tomlinson , M. Ambroze , M. Ahmed

Channel coding aims to minimize errors that occur during the transmission of digital information from one place to another. Low-density parity-check (LDPC) codes can detect and correct transmission errors if one encodes the original…

信息论 · 计算机科学 2018-03-14 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

In modern wireless networks, interference is no longer negligible since each cell becomes smaller to support high throughput. The reduced size of each cell forces to install many cells, and consequently causes to increase inter-cell…

信息论 · 计算机科学 2012-09-19 Hyukjoon Kwon , Jungwon Lee , Inyup Kang

We introduce a new method for decoding short and moderate length linear block codes with dense parity-check matrix representations of cyclic form, termed multiple-bases belief-propagation (MBBP). The proposed iterative scheme makes use of…

信息论 · 计算机科学 2016-11-15 Thorsten Hehn , Johannes B. Huber , Olgica Milenkovic , Stefan Laendner

Polar codes have gained significant attention in channel coding for their ability to approach the capacity of binary input discrete memoryless channels (B-DMCs), thanks to their reliability and efficiency in transmission. However, existing…

信息论 · 计算机科学 2025-01-30 Jiaxing Li , Shuwen Zhang , Zhisong Bie

Polar codes have promising error-correction capabilities. Yet, decoding polar codes is often challenging, particularly with large blocks, with recently proposed decoders based on list-decoding or neural-decoding. The former applies multiple…

信息论 · 计算机科学 2023-02-14 Tomer Raviv , Alon Goldman , Ofek Vayner , Yair Be'ery , Nir Shlezinger

Polar codes are a recently proposed family of provably capacity-achieving error-correction codes that received a lot of attention. While their theoretical properties render them interesting, their practicality compared to other types of…

信息论 · 计算机科学 2017-05-10 Alexios Balatsoukas-Stimming , Pascal Giard , Andreas Burg

Owing to their capacity-achieving performance and low encoding and decoding complexity, polar codes have drawn much research interests recently. Successive cancellation decoding (SCD) and belief propagation decoding (BPD) are two common…

信息论 · 计算机科学 2017-03-17 Syed Mohsin Abbas , YouZhe Fan , Ji Chen , Chi-Ying Tsui

Out-of-distribution (OOD) detection is essential to prevent anomalous inputs from causing a model to fail during deployment. While improved OOD detection methods have emerged, they often rely on the final layer outputs and require a full…

计算机视觉与模式识别 · 计算机科学 2021-05-03 Ziqian Lin , Sreya Dutta Roy , Yixuan Li

Research on polar codes has been constantly gaining attention over the last decade, by academia and industry alike, thanks to their capacity-achieving error-correction performance and low-complexity decoding algorithms. Recently, they have…

信息论 · 计算机科学 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

Binary linear block codes (BLBCs) form the foundation of modern communication systems, yet no single code family simultaneously optimizes all performance aspects. This leads to the widely used multi-code architecture in the standard,…

信息论 · 计算机科学 2026-01-19 Pin-Jing Li , Yu-Chih Huang

Debugging parallel and distributed programs is a difficult activitiy due to the multiplicity of sequential bugs, the existence of malign effects like race conditions and deadlocks, and the huge amounts of data that have to be processed.…

软件工程 · 计算机科学 2009-10-02 Dieter Kranzlmueller , Christian Schaubschlaeger , Jens Volkert

In this work, we propose the integration of GLDPC codes with short polar-like component codes, termed GLDPC codes with polar component codes (GLDPC-PC). This approach leverages the good distance properties of polar-like codes and mitigates…

信息论 · 计算机科学 2024-05-10 Binghui Shi , Yongpeng Wu , Yin Xu , Xiqi Gao , Xiaohu You , Wenjun Zhang

Product codes (PCs) and staircase codes (SCCs) are conventionally decoded based on bounded distance decoding (BDD) of the component codes and iterating between row and column decoders. The performance of iterative BDD (iBDD) can be improved…

信息论 · 计算机科学 2021-09-08 Alireza Sheikh , Alexandre Graell i Amat , Alex Alvarado