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Recently, we introduced a new class of finite alphabet iterative decoders (FAIDs) for low-density parity-check (LDPC) codes. These decoders are capable of surpassing belief propagation in the error floor region on the Binary Symmetric…

Information Theory · Computer Science 2016-11-17 David Declercq , Bane Vasic , Shiva Kumar Planjery , Erbao Li

This letter describes how to improve performance of cellular systems by combining non-equiprobable signaling (shaping) with low-density parity check (LDPC) coding for an orthogonal frequency division multiplexing system. We focus on…

Signal Processing · Electrical Eng. & Systems 2026-02-03 Sandesh Rao Mattu , Nishant Mehrotra , Robert Calderbank

In this paper, we propose a framework of the mutual information-maximizing (MIM) quantized decoding for low-density parity-check (LDPC) codes by using simple mappings and fixed-point additions. Our decoding method is generic in the sense…

Information Theory · Computer Science 2022-02-15 Peng Kang , Kui Cai , Xuan He , Shuangyang Li , Jinhong Yuan

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

This paper considers the optimization of multi-edge type low-density parity-check (METLDPC) codes to maximize the decoding threshold. We propose an algorithm to jointly optimize the node degree distribution and the multi-edge structure of…

Information Theory · Computer Science 2016-05-17 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Sarah J. Johnson

A new type of spatially coupled low-density parity-check (SC-LDPC) codes motivated by practical storage applications is presented. SC-LDPCL codes (suffix 'L' stands for locality) can be decoded locally at the level of sub-blocks that are…

Information Theory · Computer Science 2020-09-29 Eshed Ram , Yuval Cassuto

In this paper, the spectral efficiency of permutation modulation-based multiple input multiple output (MIMO) visible light communication is improved using systematically designed, multiweight codeword matrices. Soft-decision, low-complexity…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Oluwafemi Kolade , Ling Cheng

In digital baseband processing, the forward error correction (FEC) unit belongs to the most demanding components in terms of computational complexity and power consumption. Hence, efficient implementation of FEC decoders is crucial for next…

Information Theory · Computer Science 2024-06-04 Claus Kestel , Lucas Johannsen , Norbert Wehn

This work shows how non-binary low-density parity-check codes over GF($2^p$) can be combined with probabilistic amplitude shaping (PAS) (B\"ocherer, et al., 2015), which combines forward-error correction with non-uniform signaling for…

Information Theory · Computer Science 2017-08-21 Fabian Steiner , Gianluigi Liva , Georg Böcherer

The error correction performance of low-density parity-check (LDPC) codes under iterative message-passing decoding is degraded by the presence of certain harmful objects existing in their Tanner graph representation. Depending on the…

Information Theory · Computer Science 2019-04-16 Massimo Battaglioni , Franco Chiaraluce , Marco Baldi , David Mitchell

Inter-symbol interference (ISI) limits reliability in diffusion-based molecular communication (MC) channels. We propose RLIM, a family of run-length-limited (RLL) codes that form fixed-size codebooks by minimizing the total number of…

Information Theory · Computer Science 2026-01-29 Melih Şahin , Ozgur B. Akan

A new approach for combining non-binary low-density parity-check (NB-LDPC) codes with higher-order modulation and probabilistic amplitude shaping (PAS) is presented. Instead of symbol-metric decoding (SMD), a bit-metric decoder (BMD) is…

Information Theory · Computer Science 2018-09-12 Fabian Steiner , Georg Böcherer , Gianluigi Liva

This work considers optimizing LDPC codes in the physical-layer network coded two-way relay channel using noncoherent FSK modulation. The error-rate performance of channel decoding at the relay node during the multiple-access phase was…

Information Theory · Computer Science 2015-02-23 Terry Ferrett , Matthew C. Valenti

We consider automorphism ensemble decoding (AED) of quasi-cyclic (QC) low-density parity-check (LDPC) codes. Belief propagation (BP) decoding on the conventional factor graph is equivariant to the quasi-cyclic automorphisms and therefore…

Information Theory · Computer Science 2022-08-17 Marvin Geiselhart , Moustafa Ebada , Ahmed Elkelesh , Jannis Clausius , Stephan ten Brink

We study a problem of constructing codes that transform a channel with high bit error rate (BER) into one with low BER (at the expense of rate). Our focus is on obtaining codes with smooth ("graceful'') input-output BER curves (as opposed…

Information Theory · Computer Science 2019-11-28 Hajir Roozbehani , Yury Polyanskiy

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

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, the application of non-binary low-density parity-check (NBLDPC) codes to MIMO systems which employ hundreds of antennas at both the transmitter and the receiver has been proposed. Together with the well-known low-complexity…

Information Theory · Computer Science 2012-11-22 Puripong Suthisopapan , Kenta Kasai , Anupap Meesomboon , Virasit Imtawil

Molecular communication (MC) enables information transfer via molecules, making it ideal for biomedical applications where traditional methods fall short. In many such scenarios, identifying specific events is more critical than decoding…

Information Theory · Computer Science 2025-04-30 Yaning Zhao , Pau Colomer , Holger Boche , Christian Deppe

We propose fault-tolerant encoders for quantum low-density parity check (LDPC) codes. By grouping qubits within a quantum code over contiguous blocks and applying preshared entanglement across these blocks, we show how transversal…

Quantum Physics · Physics 2024-05-27 Abhi Kumar Sharma , Shayan Srinivasa Garani