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In this paper, taking the view that a linear parallel interference canceller (LPIC) can be seen as a linear matrix filter, we propose new linear matrix filters that can result in improved bit error performance compared to other LPICs in the…

Information Theory · Computer Science 2007-09-17 T. Srikanth , K. Vishnu Vardhan , A. Chockalingam , L. B. Milstein

The design of optimal linear block codes capable of being efficiently decoded is of major concern, especially for short block lengths. As near capacity-approaching codes, Low-Density Parity-Check (LDPC) codes possess several advantages over…

Information Theory · Computer Science 2024-10-11 Yoni Choukroun , Lior Wolf

Nowadays, hyperspectral imaging is recognized as cornerstone remote sensing technology. The explosive growth in image data volume and instrument data rates, compete with limited on-board storage resources and downlink bandwidth, making…

Image and Video Processing · Electrical Eng. & Systems 2024-05-29 Panagiotis Chatziantoniou , Antonis Tsigkanos , Dimitris Theodoropoulos , Nektarios Kranitis , Antonis Paschalis

To obtain a better cycle-structure is still a challenge for the low-density parity-check (LDPC) code design. This paper formulates two metrics firstly so that the progressive edge-growth (PEG) algorithm and the approximate cycle extrinsic…

Information Theory · Computer Science 2019-04-16 Xuan He , Liang Zhou , Junyi Du

As quantum computing moves toward fault-tolerant architectures, quantum error correction (QEC) decoder performance is increasingly critical for scalability. Understanding the impact of transitioning from floating-point software to…

Quantum Physics · Physics 2026-04-22 Francisco Garcia-Herrero , Javier Valls , Llanos Vergara-Picazo , Vicente Torres

A fault-tolerant quantum computer must decode and correct errors faster than they appear to prevent exponential slowdown due to error correction. The Union-Find (UF) decoder is promising with an average time complexity slightly higher than…

Quantum Physics · Physics 2024-10-03 Namitha Liyanage , Yue Wu , Siona Tagare , Lin Zhong

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…

Secure multi-party computation (MPC) facilitates privacy-preserving computation between multiple parties without leaking private information. While most secure deep learning techniques utilize MPC operations to achieve feasible…

Cryptography and Security · Computer Science 2024-07-30 Ke Lin , Yasir Glani , Ping Luo

The rapid growth of deep learning has driven exponential increases in model parameters and computational demands. NVIDIA GPUs and their CUDA-based software ecosystem provide robust support for parallel computing, significantly alleviating…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Jiaqi Lv , Xufeng He , Yanchen Liu , Xu Dai , Aocheng Shen , Yinghao Li , Jiachen Hao , Jianrong Ding , Yang Hu , Shouyi Yin

We consider spatially coupled low-density parity-check (SC-LDPC) codes within a non-orthogonal interleave division multiple access (IDMA) scheme to avoid cumbersome degree profile matching of the LDPC code components to the iterative…

Information Theory · Computer Science 2019-01-29 Sebastian Cammerer , Xiaojie Wang , Yingyan Ma , Stephan ten Brink

Low-density parity check (LDPC) codes are a significant class of classical codes with many applications. Several good LDPC codes have been constructed using random, algebraic, and finite geometries approaches, with containing cycles of…

Quantum Physics · Physics 2016-11-18 Salah A. Aly

Convolutional neural networks (CNNs) have been widely employed in many applications such as image classification, video analysis and speech recognition. Being compute-intensive, CNN computations are mainly accelerated by GPUs with high…

Hardware Architecture · Computer Science 2016-11-09 Dong Wang , Jianjing An , Ke Xu

Product codes (PCs) protect a two-dimensional array of bits using short component codes. Assuming transmission over the binary symmetric channel, the decoding is commonly performed by iteratively applying bounded-distance decoding to the…

Information Theory · Computer Science 2017-11-22 Christian Häger , Henry D. Pfister

We propose a fault-tolerant quantum computation scheme that is broadly applicable to quantum low-density parity-check (qLDPC) codes. The scheme achieves constant qubit overhead and a time overhead of $O(d^{a+o(1)})$ for any $[[n,k,d]]$…

Quantum Physics · Physics 2026-04-14 Guo Zhang , Yuanye Zhu , Ying Li

FPGAs, as computing devices, offer significant speedup over microprocessors. Furthermore, their configurability offers an advantage over traditional ASICs. However, they do not yet enjoy high-level language programmability, as…

Hardware Architecture · Computer Science 2011-11-09 Zhi Guo , Betul Buyukkurt , Walid Najjar , Kees Vissers

Large-scale (or massive) multiple-input multiple-output (MIMO) is expected to be one of the key technologies in next-generation multi-user cellular systems, based on the upcoming 3GPP LTE Release 12 standard, for example. In this work, we…

Information Theory · Computer Science 2015-06-19 Michael Wu , Bei Yin , Guohui Wang , Chris Dick , Joseph R. Cavallaro , Christoph Studer

This study focuses on the efficiency of message-passing-based decoding algorithms for polar and low-density parity-check (LDPC) codes. Both successive cancellation (SC) and belief propagation (BP) decoding algorithms are studied {in} the…

Information Theory · Computer Science 2023-04-24 Dawei Yin , Yuan Li , Xianbin Wang , Jiajie Tong , Huazi Zhang , Jun Wang , Guanghui Wang , Jun Chen , Guiying Yan , Zhiming Ma , Wen Tong

Low density parity-check (LDPC) codes are a class of linear block codes that are decoded by running belief propagation (BP) algorithm or log-likelihood ratio belief propagation (LLR-BP) over the factor graph of the code. One of the…

Information Theory · Computer Science 2011-07-15 A. Dinesh Kumar , Ambedkar Dukkipati

In this Phd thesis discusses modern methods for constructing MET QC-LDPC codes with a given error correction ("waterfall, error-floor") and complexity (parallelism level according circulant size plus scheduler orthogonality of checks)…

Information Theory · Computer Science 2022-07-08 Vasiliy Stanislavovich Usatyuk

Rate-matching of low-density parity-check (LDPC) codes enables a single code description to support a wide range of code lengths and rates. In 5G NR, rate matching is accomplished by extending (lifting) a base code to a desired target…

Information Theory · Computer Science 2024-10-29 Reinhard Wiesmayr , Darja Nonaca , Chris Dick , Christoph Studer
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