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Low-density parity-check (LDPC) codes are an important feature of several communication and storage applications, offering a flexible and effective method for error correction. These codes are computationally complex and require the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-06 Oscar Ferraz , Vitor Silva , Gabriel Falcao

Processing in memory (PiM) represents a promising computing paradigm to enhance performance of numerous data-intensive applications. Variants performing computing directly in emerging nonvolatile memories can deliver very high energy…

Inefficient data transfer between computation and memory inspired emerging processing-in-memory (PIM) technologies. Many PIM solutions enable storage and processing using memristors in a crossbar-array structure, with techniques such as…

Hardware Architecture · Computer Science 2021-05-11 Orian Leitersdorf , Ben Perach , Ronny Ronen , Shahar Kvatinsky

In this paper, we propose an efficient method to reduce error floors in quantum error correction using non-binary low-density parity-check (LDPC) codes. We identify and classify cycle structures in the parity-check matrix where estimated…

Quantum Physics · Physics 2025-04-29 Kenta Kasai

An information reconciliation method for continuous-variable quantum key distribution with Gaussian modulation that is based on non-binary low-density parity-check (LDPC) codes is presented. Sets of regular and irregular LDPC codes with…

Quantum Physics · Physics 2016-03-01 Christoph Pacher , Jesus Martinez-Mateo , Jörg Duhme , Tobias Gehring , Fabian Furrer

Modern computing systems are limited in performance by the memory bandwidth available to processors, a problem known as the memory wall. Processing-in-Memory (PIM) promises to substantially improve this problem by moving processing closer…

Cryptography and Security · Computer Science 2025-04-24 Sahar Ghoflsaz Ghinani , Jingyao Zhang , Elaheh Sadredini

Error correction is a significant step in postprocessing of continuous-variable quantum key distribution system, which is used to make two distant legitimate parties share identical corrected keys. We propose an experiment demonstration of…

Quantum Physics · Physics 2018-07-17 Xiangyu Wang , Yi-Chen Zhang , Song Yu , Hong Guo

Computing-in-memory (CIM) promises to alleviate the Von Neumann bottleneck and accelerate data-intensive applications. Depending on the underlying technology and configuration, CIM enables implementing compute primitives in place, such as…

Hardware Architecture · Computer Science 2024-08-01 Preston Brazzle , Benjamin F. Morris , Evan McKinney , Peipei Zhou , Jingtong Hu , Asif Ali Khan , Alex K. Jones

The goal of the paper is to study specific properties of nonbinary low-density parity-check (NB LDPC) codes when used in coded modulation systems. The paper is focused on the practically important NB LDPC codes over extensions of the Galois…

Information Theory · Computer Science 2022-05-25 Irina E. Bocharova , Boris D. Kudryashov , Evgenii P. Ovsyannikov , Vitaly Skachek

In this paper, we devote to devise a non-binary low-density parity-check (LDPC) decoder in Galois fields of characteristic two ($\mathbb{F}_{2^q}$) via the alternating direction method of multipliers (ADMM) technique. Through the proposed…

Information Theory · Computer Science 2022-02-08 Xiaomeng Guo , Yongchao Wang

In this paper, we investigate the error floors of non-binary low-density parity-check (LDPC) codes transmitted over the memoryless binary-input output-symmetric (MBIOS) channels. We provide a necessary and sufficient condition for…

Information Theory · Computer Science 2015-05-28 Takayuki Nozaki , Kenta Kasai , Kohichi Sakaniwa

Soft forward error correction with higher-order modulations is often implemented in practice via the pragmatic bit-interleaved coded modulation paradigm, where a single binary code is mapped to a nonbinary modulation. In this paper, we…

Information Theory · Computer Science 2014-06-13 Christian Häger , Alexandre Graell i Amat , Fredrik Brännström , Alex Alvarado , Erik Agrell

Edge deployment of low-batch large language models (LLMs) faces critical memory bandwidth bottlenecks when executing memory-intensive general matrix-vector multiplications (GEMV) operations. While digital processing-in-memory (PIM)…

Hardware Architecture · Computer Science 2026-01-21 Ye Lin , Chao Fang , Xiaoyong Song , Qi Wu , Anying Jiang , Yichuan Bai , Li Du

With the ever-growing storage density, high-speed, and low-cost data access, flash memory has inevitably become popular. Multi-level cell (MLC) NAND flash memory, which can well balance the data density and memory stability, has occupied…

Hardware Architecture · Computer Science 2018-02-14 Haochuan Song , Frankie Fu , Cloud Zeng , Jin Sha , Zaichen Zhang , Xiaohu You , Chuan Zhang

Low-density parity-check (LDPC) codes have been successfully commercialized in communication systems due to their strong error correction capabilities and simple decoding process. However, the error-floor phenomenon of LDPC codes, in which…

Information Theory · Computer Science 2023-10-31 Hee-Youl Kwak , Dae-Young Yun , Yongjune Kim , Sang-Hyo Kim , Jong-Seon No

The design of low-density parity-check (LDPC) code ensembles optimized for a finite number of decoder iterations is investigated. Our approach employs EXIT chart analysis and differential evolution to design such ensembles for the binary…

Information Theory · Computer Science 2016-11-17 Ian P. Mulholland , Enrico Paolini , Mark F. Flanagan

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

Low Density Parity Check (LDPC) codes are linear error correcting codes used in communication systems for Forward Error Correction (FEC). But, intensive computation is required for encoding and decoding of LDPC codes, making it difficult…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-13 Bhargav Gokalgandhi , Ivan Seskar

Processing-in-memory (PIM), as a novel computing paradigm, provides significant performance benefits from the aspect of effective data movement reduction. SRAM-based PIM has been demonstrated as one of the most promising candidates due to…

Hardware Architecture · Computer Science 2023-11-01 Cenlin Duan , Jianlei Yang , Xiaolin He , Yingjie Qi , Yikun Wang , Yiou Wang , Ziyan He , Bonan Yan , Xueyan Wang , Xiaotao Jia , Weitao Pan , Weisheng Zhao

The asymptotic iterative decoding performances of low-density parity-check (LDPC) codes using min-sum (MS) and sum-product (SP) decoding algorithms on memoryless binary-input output-symmetric (MBIOS) channels are analyzed in this paper. For…

Information Theory · Computer Science 2007-07-13 Chun-Hao Hsu , Achilleas Anastasopoulos
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