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In this paper we propose the construction of Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes using a periodic time-variant Quasi-Cyclic (QC) algorithm. The QC based approach is optimized to obtain memory efficiency in storing the…

Information Theory · Computer Science 2013-10-18 Vikram Arkalgud Chandrasetty , Sarah J. Johnson , Gottfried Lechner

With the use of belief propagation (BP) decoding algorithm, low-density parity-check (LDPC) codes can achieve near-Shannon limit performance. In order to evaluate the error performance of LDPC codes, simulators running on CPUs are commonly…

Information Theory · Computer Science 2012-07-30 Yue Zhao , Francis C. M. Lau

We propose without loss of generality strategies to achieve a high-throughput FPGA-based architecture for a QC-LDPC code based on a circulant-1 identity matrix construction. We present a novel representation of the parity-check matrix (PCM)…

Hardware Architecture · Computer Science 2015-05-12 Swapnil Mhaske , Hojin Kee , Tai Ly , Ahsan Aziz , Predrag Spasojevic

This paper presents a partially parallel low-density parity-check (LDPC) decoder designed for the 5G New Radio (NR) standard. The design is using a multi-block parallel architecture with a flooding schedule. The decoder can support any code…

Signal Processing · Electrical Eng. & Systems 2021-03-12 Sina Pourjabar , Gwan S. Choi

The decoding throughput in the postprocessing is one of the bottlenecks for a continuous-variable quantum key distribution (CV-QKD) system. In this paper, we propose a layered decoder to decode quasi-cyclic multi-edge type LDPC (QC-METLDPC)…

Quantum Physics · Physics 2020-04-21 Yang Li , Xiaofang Zhang , Yong Li , Bingjie Xu , Li Ma , Jie Yang , Wei Huang

An ultra-high throughput low-density parity check (LDPC) decoder with an unrolled full-parallel architecture is proposed, which achieves the highest decoding throughput compared to previously reported LDPC decoders in the literature. The…

Low decoding latency and complexity are two important requirements of channel codes used in many applications, like machine-to-machine communications. In this paper, we show how these requirements can be fulfilled by using some special…

Information Theory · Computer Science 2018-09-14 Massimo Battaglioni , Alireza Tasdighi , Marco Baldi , Mohammad H. Tadayon , Franco Chiaraluce

Achieving high image quality is an important aspect in an increasing number of wireless multimedia applications. These applications require resource efficient error correction hardware to detect and correct errors introduced by the…

Information Theory · Computer Science 2013-08-02 Vikram Arkalgud Chandrasetty , Syed Mahfuzul Aziz

In this paper, we report an encoding and decoding method for irregular-quasic-cyclic low-density parity-check (IR-QC-LDPC) codes with multi rates. The algorithm is applicable to parity-check matrices which have dual-diagonal parity…

Information Theory · Computer Science 2019-10-31 Kun Cheng , Qiming Lu , Hongbo Xie , Qi Shen , Shengkai Liao , Chengzhi Peng

Protograph-based low-density parity-check Hadamard codes (PLDPC-HCs) are a new type of ultimate-Shannon-limit-approaching codes. In this paper, we propose a hardware architecture for the PLDPC-HC layered decoders. The decoders consist…

Information Theory · Computer Science 2022-08-22 Peng W. Zhang , Francis C. M. Lau , Chiu-W. Sham

The increasing data rates expected to be of the order of Gb/s for future wireless systems directly impact the throughput requirements of the modulation and coding subsystems of the physical layer. In an effort to design a suitable channel…

Hardware Architecture · Computer Science 2015-05-19 Swapnil Mhaske , David Uliana , Hojin Kee , Tai Ly , Ahsan Aziz , Predrag Spasojevic

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

This paper describes the design and C99 implementation of a free and open-source Low-Density Parity-Check (LDPC) codes encoder and decoder focused primarily on the Quasi-Cyclic LDPC (QCLDPC) codes utilized in the IEEE 802.11ax-2021 (Wi-Fi…

Information Theory · Computer Science 2023-06-22 Tomas Palenik , Viktor Szitkey

More than Mbps secret key rate was demonstrated for continuous-variable quantum key distribution (CV-QKD) systems, but real-time postprocessing is not allowed, which is restricted by the throughput of the error correction decoding in…

Quantum Physics · Physics 2022-07-06 Chuang Zhou , Yang Li , Li Ma , Jie Yang , Wei Huang , Heng Wang , Yujie Luo , Francis C. M. Lau , Yong Li , Bingjie Xu

Quantum error correction (QEC) is a cornerstone of quantum computing, enabling reliable information processing in the presence of noise. Sparse stabilizer codes -- referred to generally as quantum low-density parity-check (QLDPC) codes --…

Quantum Physics · Physics 2025-10-20 Bane Vasic , Valentin Savin , Michele Pacenti , Shantom Borah , Nithin Raveendran

Low-Density Parity-Check (LDPC) codes received much attention recently due to their capacity-approaching performance. The iterative message-passing algorithm is a widely adopted decoding algorithm for LDPC codes \cite{Kschischang01}. An…

Information Theory · Computer Science 2009-08-27 Xudong Ma , En-hui Yang

LDPC (Low Density Parity Check) codes are among the most powerful and widely adopted modern error correcting codes. The iterative decoding algorithms required for these codes involve high computational complexity and high processing…

Hardware Architecture · Computer Science 2011-05-16 Carlo Condo , Guido Masera

Quantum low-density parity-check (QLDPC) codes are among the most promising candidates for future quantum error correction schemes. However, a limited number of short to moderate-length QLDPC codes have been designed and their decoding…

Information Theory · Computer Science 2024-05-07 Sisi Miao , Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

Generalized low-density parity-check (GLDPC) codes, where single parity-check constraints on the code bits are replaced with generalized constraints (an arbitrary linear code), are a promising class of codes for low-latency communication.…

Information Theory · Computer Science 2025-08-12 Roxana Smarandache , David G. M. Mitchell , Anthony Gómez-Fonseca

The near channel performance of Low Density Parity Check Codes (LDPC) has motivated its wide applications. Iterative decoding of LDPC codes provides significant implementation challenges as the complexity grows with the code size. Recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-29 Sudeep Kanur , Georgios Georgakarakos , Antti Siirilä , Jérémie Lagravière , Kristian Nybom , Sébastien Lafond , Johan Lilius
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