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In this paper, we propose a new design method of irregular spatially-coupled low-density parity-check (SC-LDPC) codes with non-uniform degree distributions by linear programming (LP). In general, irregular SC-LDPC codes with non-uniform…

Information Theory · Computer Science 2018-03-28 Heeyoul Kwak , Jong-Seon No , Hosung Park

Data center networks (DCNs) require a low-cost, low-power optical transceiver to handle increased traffic from generative artificial intelligence, video streaming services, and more. Improving the required signal-to-noise ratio (RSNR) by…

Signal Processing · Electrical Eng. & Systems 2025-09-09 Takeshi Kakizaki , Masanori Nakamura , Fukutaro Hamaoka , Shuto Yamamoto , Etsushi Yamazaki

In this paper, we propose a methodology for partitioning and mapping computational intensive applications in reconfigurable hardware blocks of different granularity. A generic hybrid reconfigurable architecture is considered so as the…

Hardware Architecture · Computer Science 2011-11-09 M. D. Galanis , A. Milidonis , G. Theodoridis , D. Soudris , C. E. Goutis

We propose a novel construction of product codes for high-density magnetic recording based on binary low-density parity check (LDPC) codes and binary image of Reed Solomon (RS) codes. Moreover, two novel algorithms are proposed to decode…

Information Theory · Computer Science 2012-01-06 Vo Tam Van , Seiichi Mita

Low-density parity-check (LDPC) codes are capable of achieving excellent performance and provide a useful alternative for high performance applications. However, at medium to high signal-to-noise ratios (SNR), an observable error floor…

Information Theory · Computer Science 2016-08-17 C. T. Healy , R. C. de Lamare

We analyze the finite-length performance of spatially coupled low-density parity-check (SC-LDPC) codes under window decoding over the binary erasure channel. In particular, we propose a refinement of the scaling law by Olmos and Urbanke for…

Information Theory · Computer Science 2020-08-26 Roman Sokolovskii , Alexandre Graell i Amat , Fredrik Brännström

For improving coarsely quantized decoding of LDPC codes, we propose a check node aware design of the variable node update. In contrast to previous works, we optimize the variable node to explicitly maximize the mutual information preserved…

Information Theory · Computer Science 2022-11-15 Philipp Mohr , Gerhard Bauch

This study investigates the problem of learning linear block codes optimized for Belief-Propagation decoders significantly improving performance compared to the state-of-the-art. Our previous research is extended with an enhanced system…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Louis-Adrien Dufrène , Quentin Lampin , Guillaume Larue

Quantum low-density parity-check (qLDPC) codes are a promising construction for drastically reducing the overhead of fault-tolerant quantum computing (FTQC) architectures. However, all of the known hardware implementations of these codes…

Most low-density parity-check (LDPC) code constructions are considered over finite fields. In this work, we focus on regular LDPC codes over integer residue rings and analyze their performance with respect to the Lee metric. Their…

Information Theory · Computer Science 2024-08-01 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

A comprehensive study of the coded performance of long-haul spectrally-efficient WDM optical fiber transmission systems with different coded modulation decoding structures is presented. Achievable information rates are derived for three…

Information Theory · Computer Science 2024-01-25 Gabriele Liga , Alex Alvarado , Erik Agrell , Polina Bayvel

We show that spatially coupled low-density parity-check (LDPC) codes yield robust performance over changing intersymbol interfere (ISI) channels with optimal and suboptimal detectors. We compare the performance with classical LDPC code…

Information Theory · Computer Science 2024-04-19 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier

Spatially coupled low-density parity-check (SC-LDPC) codes are sparse graph codes that have recently become of interest due to their capacity-approaching performance on memoryless binary input channels. In this paper, we unify all existing…

Information Theory · Computer Science 2017-10-11 Allison Beemer , Salman Habib , Christine A. Kelley , Joerg Kliewer

This paper investigates the design of self-connected spatially coupled low-density parity-check (SC-LDPC) codes. First, a termination method is proposed to reduce rate loss. Particularly, a single-side open SC-LDPC ensemble is introduced,…

Information Theory · Computer Science 2023-07-03 Yihuan Liao , Min Qiu , Jinhong Yuan

We investigate the use of Gallager's low-density parity-check (LDPC) codes in a broadcast channel, one of the fundamental models in network information theory. Combining linear codes is a standard technique in practical network…

Statistical Mechanics · Physics 2009-11-07 Kazutaka Nakamura , Robert Morelos-Zaragoza , David Saad , Yoshiyuki Kabashima

Previous work showed that polar codes can be decoded using off-the-shelf LDPC decoders by imposing special constraints on the LDPC code structure, which, however, resulted in some performance degradation. In this paper we show that this…

Information Theory · Computer Science 2019-09-27 Moustafa Ebada , Ahmed Elkelesh , Stephan ten Brink

This paper proposes a method for designing error correction codes by combining a known coding scheme with an autoencoder. Specifically, we integrate an LDPC code with a trained autoencoder to develop an error correction code for intractable…

Information Theory · Computer Science 2020-03-03 Eren Balevi , Jeffrey G. Andrews

This paper investigates the Triangle Single Parity Check (T/SPC) code, a novel class of high-rate low-complexity LDPC codes. T/SPC is a regular, soft decodable, linear-time encodable/decodable code. Compared to previous high-rate and…

Information Theory · Computer Science 2011-04-11 Damian A. Morero , Graciela Corral-Briones , Carmen Rodriguez , Mario R. Hueda

A low-complexity soft-decision concatenated FEC scheme, consisting of an inner LDPC code and an outer staircase code is proposed. The inner code is tasked with reducing the bit error probability below the outer-code threshold. The…

Information Theory · Computer Science 2018-09-25 Masoud Barakatain , Frank R. Kschischang

Post-selection strategies that discard low-confidence computational results can significantly improve the effective fidelity of quantum error correction at the cost of reduced acceptance rates, which can be particularly useful for offline…

Quantum Physics · Physics 2026-01-27 Seok-Hyung Lee , Lucas H. English , Stephen D. Bartlett