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This paper studies the diversity of protographbased quasi-cyclic low-density parity-check (QC-LDPC) codes over nonergodic block-fading channels under iterative beliefpropagation decoding. We introduce diversity evolution (DivE), a…

Information Theory · Computer Science 2026-02-02 Hyuntae Ahn , Inki Kim , Hee-Youl Kwak , Yongjune Kim , Chanki Kim , Sang-Hyo Kim

In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes…

Information Theory · Computer Science 2024-10-30 Beomkyu Shin , Seokbeom Hong , Hosung Park , Jong-Seon No , Dong-Joon Shin

Quantum low-density parity-check (qLDPC) codes are promising for realizing scalable fault-tolerant quantum computation due to their potential for low-overhead protocols. A common approach to decoding qLDPC codes is to use the belief…

Quantum Physics · Physics 2025-10-13 Kento Tsubouchi , Hayata Yamasaki , Shiro Tamiya

This paper uses the reconstruction-computation-quantization (RCQ) paradigm to decode low-density parity-check (LDPC) codes. RCQ facilitates dynamic non-uniform quantization to achieve good frame error rate (FER) performance with very low…

Signal Processing · Electrical Eng. & Systems 2022-02-10 Linfang Wang , Caleb Terrill , Maximilian Stark , Zongwang Li , Sean Chen , Chester Hulse , Calvin Kuo , Richard Wesel , Gerhard Bauch , Rekha Pitchumani

Density evolution for protograph Low-Density Parity-Check (LDPC) codes is considered, and it is shown that the message-error rate falls double-exponentially with iterations whenever the degree-2 subgraph of the protograph is cycle-free and…

Information Theory · Computer Science 2016-11-18 Asit Kumar Pradhan , Andrew Thangaraj , Arunkumar Subramanian

Real-time decoding is crucial for fault-tolerant quantum computing but likely requires specialized hardware such as field-programmable gate arrays (FPGAs), whose parallelism can alter relative algorithmic performance. We analyze…

Quantum Physics · Physics 2026-01-27 Satvik Maurya , Thilo Maurer , Markus Bühler , Drew Vandeth , Michael E. Beverland

We design and assess some practical low-density parity-check (LDPC) coded transmission schemes for the Gaussian broadcast channel with confidential messages (BCC). This channel model is different from the classical wiretap channel model as…

Information Theory · Computer Science 2016-11-15 Marco Baldi , Nicola Maturo , Giacomo Ricciutelli , Franco Chiaraluce

We study Low-Density Parity-Check (LDPC) codes with iterative decoding on block-fading (BF) Relay Channels. We consider two users that employ coded cooperation, a variant of decode-and-forward with a smaller outage probability than the…

Information Theory · Computer Science 2012-10-05 Dieter Duyck , Joseph J. Boutros , Marc Moeneclaey

Cyclic liftings are proposed to lower the error floor of low-density parity-check (LDPC) codes. The liftings are designed to eliminate dominant trapping sets of the base code by removing the short cycles which form the trapping sets. We…

Information Theory · Computer Science 2010-02-24 Reza Asvadi , Amir H. Banihashemi , Mahmoud Ahmadian-Attari

Spatially coupled low-density parity-check codes show an outstanding performance under the low-complexity belief propagation (BP) decoding algorithm. They exhibit a peculiar convergence phenomenon above the BP threshold of the underlying…

Information Theory · Computer Science 2013-07-16 Vahid Aref , Laurent Schmalen , Stephan ten Brink

This article introduces a novel concatenated coding scheme called sparse regression LDPC (SR-LDPC) codes. An SR-LDPC code consists of an outer non-binary LDPC code and an inner sparse regression code (SPARC) whose respective field size and…

Information Theory · Computer Science 2024-10-28 Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan

Dirty paper coding (DPC) refers to methods for pre-subtraction of known interference at the transmitter of a multiuser communication system. There are numerous applications for DPC, including coding for broadcast channels. Recently,…

Information Theory · Computer Science 2010-01-21 G Shilpa , Andrew Thangaraj , Srikrishna Bhashyam

In this paper, we propose a novel message-passing decoding approach that leverages the degeneracy of quantum low-density parity-check codes to enhance decoding performance, eliminating the need for serial scheduling or post-processing. Our…

Quantum Physics · Physics 2025-01-10 Dimitris Chytas , Nithin Raveendran , Bane Vasic

The paper presents bounds on the achievable rates and the decoding complexity of low-density parity-check (LDPC) codes. It is assumed that the communication of these codes takes place over statistically independent parallel channels where…

Information Theory · Computer Science 2007-07-13 Igal Sason , Gil Wiechman

In a digital communication system, information is sent from one place to another over a noisy communication channel using binary symbols (bits). Original information is encoded by adding redundant bits, which are then used by low--density…

Information Theory · Computer Science 2017-09-29 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

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

We consider spatially coupled low-density parity-check (SC-LDPC) codes within a non-orthogonal interleave division multiple access (IDMA) scheme to avoid cumbersome degree profile matching of the LDPC code components to the iterative…

Information Theory · Computer Science 2019-01-29 Sebastian Cammerer , Xiaojie Wang , Yingyan Ma , Stephan ten Brink

A novel code construction based on spatially coupled low-density parity-check (SC-LDPC) codes is presented. The proposed code ensembles are described by protographs, comprised of several protograph-based chains characterizing individual…

Information Theory · Computer Science 2016-11-18 Dmitri Truhachev , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

Distributed computing frameworks such as MapReduce and Spark are often used to process large-scale data computing jobs. In wireless scenarios, exchanging data among distributed nodes would seriously suffer from the communication bottleneck…

Information Theory · Computer Science 2023-10-25 Youlong Wu , Zhenhao Huang , Kai Yuan , Shuai Ma , Yue Bi

A coding scheme based on irregular low-density parity-check (LDPC) codes is proposed to send secret messages from a source over the Gaussian wiretap channel to a destination in the presence of a wiretapper, with the restriction that the…

Information Theory · Computer Science 2016-11-17 Chan Wong Wong , Tan F. Wong , John M. Shea