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We present a new class of irregular low-density parity-check (LDPC) codes for moderate block lengths (up to a few thousand bits) that are well-suited for rate-compatible puncturing. The proposed codes show good performance under puncturing…

信息论 · 计算机科学 2016-11-18 Jaehong Kim , Aditya Ramamoorthy , Steven W. McLaughlin

To address the challenge of constructing short girth-8 quasi-cyclic (QC) low-density parity-check (LDPC) codes, a novel construction framework based on vertical symmetry (VS) is proposed. Basic properties of the VS structure are presented.…

信息论 · 计算机科学 2024-04-24 Guohua Zhang , Aijing Sun , Ling Liu , Yi Fang

In this work, we introduce a new hardware architecture for decoding correlated errors in quantum LDPC codes. The decoder is based on message passing and exploits the structure of the detector error model obtained through the recently…

Sparse regression codes (SPARCs) are a class of codes that encode information through the superposition of columns of a randomised coding matrix. The combination with an outer non-binary low density parity check (NB-LDPC) code was recently…

信息论 · 计算机科学 2025-09-23 Alexander Fengler , Burak Çakmak , Giuseppe Caire

This paper investigates the application of low-density parity-check (LDPC) codes to Flash memories. Multiple cell reads with distinct word-line voltages provide limited-precision soft information for the LDPC decoder. The values of the…

信息论 · 计算机科学 2012-10-02 Jiadong Wang , Guiqiang Dong , Thomas Courtade , Hari Shankar , Tong Zhang , Richard Wesel

In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

信号处理 · 电气工程与系统科学 2020-03-04 Yang Yu , Wen Chen , Lili Wei

In this work, we analyze efficient window shift schemes for windowed decoding of spatially coupled low-density parity-check (SC-LDPC) codes, which is known to yield close-tooptimal decoding results when compared to full belief propagation…

信息论 · 计算机科学 2018-10-03 Kevin Klaiber , Sebastian Cammerer , Laurent Schmalen , Stephan ten Brink

In this letter, we propose a two-stage design method to construct memory efficient mutual information-maximizing quantized min-sum (MIM-QMS) decoder for rate-compatible low-density parity-check (LDPC) codes. We first develop a modified…

信息论 · 计算机科学 2022-01-19 Peng Kang , Kui Cai , Xuan He , Jinhong Yuan

A genie-aided decoder for finite dimensional lattice codes is considered. The decoder may exhaustively search through all possible scaling factors $\alpha \in \mathbb{R}$. We show that this decoder can achieve lower word error rate (WER)…

信息论 · 计算机科学 2025-01-09 Jiajie Xue , Brian M. Kurkoski

The rapidly improving performance of modern hardware renders convolutional codes obsolete, and allows for the practical implementation of more sophisticated correction codes such as low density parity check (LDPC) and turbo codes (TC). Both…

信息论 · 计算机科学 2015-03-20 Jarosław Duda , Paweł Korus

We investigate iterative low-resolution message-passing algorithms for quasi-cyclic LDPC codes with horizontal and vertical layered schedules. Coarse quantization and layered scheduling are highly relevant for hardware implementations to…

信息论 · 计算机科学 2022-12-19 Philipp Mohr , Gerhard Bauch

We use prefix-free code distribution matching (PCDM) for rate matching (RM) in some 5G New Radio (NR) deployment scenarios, realizing a wide range of information rates from 1.4 to 6.0 bit/symbol in fine granularity of 0.2 bit/symbol. We…

信号处理 · 电气工程与系统科学 2020-01-17 Junho Cho , Ori Shental

This study proposes an explicit construction method for quantum quasi-cyclic low-density parity-check (QC-LDPC) codes with a girth of 12. The proposed method designs parity-check matrices that maximize the girth while maintaining an…

信息论 · 计算机科学 2025-05-06 Daiki Komoto , Kenta Kasai

We solve the problem of designing powerful low-density parity-check (LDPC) codes with iterative decoding for the block-fading channel. We first study the case of maximum-likelihood decoding, and show that the design criterion is rather…

信息论 · 计算机科学 2016-11-18 Joseph J. Boutros , Albert Guillen i Fabregas , Ezio Biglieri , Gilles Zemor

Recent developments have shown the existence of quantum low-density parity check (qLDPC) codes with constant rate and linear distance. A natural question concerns the efficient decodability of these codes. In this paper, we present a linear…

量子物理 · 物理学 2022-06-15 Shouzhen Gu , Christopher A. Pattison , Eugene Tang

Reconciliation is an important step to correct errors in Quantum Key Distribution (QKD). In QKD, after comparing basis, two legitimate parties possess two correlative keys which have some differences and they could obtain identical keys…

量子物理 · 物理学 2013-05-28 Zhengchao Wei , Zhi Ma

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

We present a method for estimating the undetected error rate when a cyclic redundancy check (CRC) is performed on the output of the decoder of short low-density parity-check (LDPC) codes. This system is of interest for telecommand links,…

信息论 · 计算机科学 2016-11-18 Marco Baldi , Nicola Maturo , Giacomo Ricciutelli , Franco Chiaraluce

Error correction plays a major role in the reconciliation of continuous variable quantum key distribution (CV-QKD) and greatly affects the performance of the system. CV-QKD requires error correction codes of extremely low rates and high…

信息论 · 计算机科学 2021-07-14 Kadir Gümüs , Laurent Schmalen

A protograph-based low-density parity-check (LDPC) code design technique for bandwidth-efficient coded modulation is presented. The approach jointly optimizes the LDPC code node degrees and the mapping of the coded bits to the…

信息论 · 计算机科学 2015-04-15 Fabian Steiner , Georg Böcherer , Gianluigi Liva