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In this paper, we present an efficient algorithm to sample random sparse matrices to be used as check matrices for quantum Low-Density Parity-Check (LDPC) codes. To ease the treatment, we mainly describe our algorithm as a technique to…

Information Theory · Computer Science 2026-01-27 Paolo Santini

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

In this paper we propose a new efficient message passing algorithm for decoding LDPC transmitted over a channel with strong phase noise. The algorithm performs approximate bayesian inference on a factor graph representation of the channel…

Information Theory · Computer Science 2012-04-13 Shachar Shayovitz , Dan Raphaeli

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

This paper considers the joint-decoding (JD) problem for finite-state channels (FSCs) and low-density parity-check (LDPC) codes. In the first part, the linear-programming (LP) decoder for binary linear codes is extended to JD of…

Information Theory · Computer Science 2015-05-27 Byung-Hak Kim , Henry D. Pfister

We introduce an iteration-dependent scaled min-sum decoding for low-rate LDPC codes in CV-QKD, achieving near-sum product algorithm performance with reduced complexity, and facilitating CV-QKD hardware implementation.

Information Theory · Computer Science 2023-12-20 Erdem Eray Cil , Laurent Schmalen

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

We propose and analyze a novel scheme based on LDPC codes for quantitative group testing. The key underlying idea is to augment the bipartite graph by introducing hidden non-binary variables to strengthen the message-passing decoder. This…

Information Theory · Computer Science 2024-10-01 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier

Linear Programming (LP) decoding is emerging as an attractive alternative to decode Low-Density Parity-Check (LDPC) codes. However, the earliest LP decoders proposed for binary and nonbinary LDPC codes are not suitable for use at moderate…

Information Theory · Computer Science 2011-02-17 Mayur Punekar , Mark F. Flanagan

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

This work considers the design of short non-binary low-density parity-check (LDPC) codes over finite fields of order m, for channels with phase noise. In particular, m-ary differential phase-shift keying (DPSK) modulated code symbols are…

Information Theory · Computer Science 2019-08-09 Tudor Ninacs , Balázs Matuz , Gianluigi Liva , Giulio Colavolpe

In this paper, we develop an efficient decoder via the proximal alternating direction method of multipliers (proximal-ADMM) technique for nonbinary linear block codes in the Galois field. Its main contents are as follows: first, exploiting…

Information Theory · Computer Science 2020-10-20 Yongchao Wang , Jing Bai

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…

Information Theory · Computer Science 2022-12-19 Philipp Mohr , Gerhard Bauch

In this work, we consider the problem of reduced latency of low-density parity-check (LDPC) codes with iterative detection and decoding (IDD) receiver in multiuser multiple-antenna systems. The proposed knowledge-aided IDD (KA-IDD) system…

Information Theory · Computer Science 2018-02-19 P. Li , R. C. de Lamare , J. Liu

In this paper, we present a fast min-sum algorithm for decoding LDPC codes over GF(q). Our algorithm is different from the one presented by David Declercq and Marc Fossorier in ISIT 05 only at the way of speeding up the horizontal scan in…

Information Theory · Computer Science 2016-11-15 Xiaofei Huang , Suquan Ding , Zhixing Yang , Youshou Wu

A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-decision iterative decoding algorithms on binary symmetric channels (BSC) is proposed. Based on the enumeration of the smallest weight error…

Information Theory · Computer Science 2007-07-13 Hua Xiao , Amir H. Banihashemi

In this paper, we propose a novel low complexity scaling strategy of min-sum decoding algorithm for irregular LDPC codes. In the proposed method, we generalize our previously proposed simplified Variable Scaled Min-Sum (SVS-min-sum) by…

Information Theory · Computer Science 2015-01-30 Ahmed A. Emran , Maha Elsabrouty

An algorithm for constructing parity-check matrices of non-binary quasi-cyclic low-density parity-check (NB QC-LDPC) codes is proposed. The algorithm finds short cycles in the base matrix and tries to eliminate them by selecting the…

Information Theory · Computer Science 2017-05-31 Stanislav Kruglik , Valeriya Potapova , Alexey Frolov

The joint transmission scheme of polar codes and sparse code multiple access (SCMA) has been regarded as a promising technology for future wireless communication systems. However, most of the existing polar-coded SCMA (PC-SCMA) systems…

Information Theory · Computer Science 2022-04-01 Shufeng Li , Mingyu Cai , Libiao Jin , Yao Sun , Hongda Wu , Ping Wang

Semi-definite relaxation (SDR) detector has been demonstrated to be successful in approaching maximum likelihood (ML) performance while the time complexity is only polynomial. We propose a new receiver jointly utilizing the forward error…

Information Theory · Computer Science 2018-08-17 Kun Wang , Zhi Ding