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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

Spatial complementary code keying modulation (SCCKM) is proposed as a novel block coding modulation scheme. An input binary sequence is modulated based on the different lengths of complementary code keying (CCK) modulation and then spread…

Information Theory · Computer Science 2017-09-19 A. H. Jafari , T. O'Farrell

A novel method guaranteeing nondecreasing girth is presented for constructing longer low-density parity-check (LDPC) codes from shorter ones. The parity-check matrix of a shorter base code is decomposed into N (N>=2) non-overlapping…

Information Theory · Computer Science 2018-01-29 Guohua Zhang , Yulin Hu , Qinwei He

In this study, an optimization model for offline scheduling policy of low-density parity-check (LDPC) codes is proposed to improve the decoding efficiency of the belief propagation (BP). The optimization model uses the number of messages…

Information Theory · Computer Science 2024-08-07 Dongxu Chang , Zhiming Ma , Guanghui Wang , Guiying Yan , Dawei Yin

In this paper, we propose how to simply construct a pair of linear codes for the BB84 quantum key distribution protocol. This protocol allows unconditional security in the presence of an eavesdropper, and the pair of linear codes is used…

Quantum Physics · Physics 2007-05-23 Maki Ohata , Kanta Matsuura

In this paper we investigate the behavior of iteratively decoded low-density parity-check codes over the binary erasure channel in the so-called ``waterfall region." We show that the performance curves in this region follow a very basic…

Information Theory · Computer Science 2007-07-13 Abdelaziz Amraoui , Andrea Montanari , Tom Richardson , Ruediger Urbanke

Spatial coupling was proved to improve the belief-propagation (BP) performance up to the maximum-a-posteriori (MAP) performance. This paper addresses an extended class of spatially coupled (SC) systems. A potential function is derived for…

Information Theory · Computer Science 2014-04-21 Keigo Takeuchi

Spatially coupled serially concatenated codes (SC-SCCs) are a class of spatially coupled turbo-like codes, which have a close-to-capacity performance and low error floor. In this paper we investigate the impact of coupling memory, block…

Information Theory · Computer Science 2021-07-27 Mojtaba Mahdavi , Muhammad Umar Farooq , Liang Liu , Ove Edfors , Viktor Öwall , Michael Lentmaier

Because of their excellent asymptotic and finite-length performance, spatially-coupled (SC) codes are a class of low-density parity-check codes that is gaining increasing attention. Multi-dimensional (MD) SC codes are constructed by…

Information Theory · Computer Science 2025-10-08 Canberk İrimağzı , Ata Tanrıkulu , Ahmed Hareedy

Low-density parity check (LDPC) codes are an important class of codes with many applications. Two algebraic methods for constructing regular LDPC codes are derived -- one based on nonprimitive narrow-sense BCH codes and the other directly…

Information Theory · Computer Science 2008-02-28 Salah A. Aly

A new variant of bit interleaved coded modulation (BICM) is proposed. In the new scheme, called Parallel BICM, L identical binary codes are used in parallel using a mapper, a newly proposed finite-length interleaver and a binary dither…

Information Theory · Computer Science 2010-08-18 Amir Ingber , Meir Feder

Kudekar et al. recently proved that for transmission over the binary erasure channel (BEC), spatial coupling of LDPC codes increases the BP threshold of the coupled ensemble to the MAP threshold of the underlying LDPC codes. One major…

Information Theory · Computer Science 2015-05-27 Kenta Kasai , Kohichi Sakaniwa

One of the challenges often faced with wireless communication systems is its limited range and data-rate. Distributed Transmit Beamforming (DTB) techniques are being developed to address these two issues to provide reliable connectivity…

Signal Processing · Electrical Eng. & Systems 2018-07-18 Ismail Shakeel , Ishtiaq Ahmad , Hajime Suzuki

Protograph low-density-parity-check (LDPC) are considered to design near-capacity low-rate codes over the binary erasure channel (BEC) and binary additive white Gaussian noise (BIAWGN) channel. For protographs with degree-one variable nodes…

Information Theory · Computer Science 2018-05-03 Asit Kumar Pradhan , Andrew Thangaraj

While low-density parity-check (LDPC) codes are near capacity-achieving when paired with iterative decoders, these decoders may not output a codeword due to the existence of pseudocodewords. Thus, pseudocodewords have been studied to give…

Information Theory · Computer Science 2025-12-03 Wittawat Kositwattanarerk , Gretchen L. Matthews , Emily McMillon , Tunchanok Yutitumsatit

A circulant-based spatially-coupled (SC) code is constructed by partitioning the circulants in the parity-check matrix of a block code into several components and piecing copies of these components in a diagonal structure. By connecting…

Information Theory · Computer Science 2019-08-08 Homa Esfahanizadeh , Lev Tauz , Lara Dolecek

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

We study the performance of nonbinary low-density parity-check (LDPC) codes over finite integer rings over two channels that arise from the Lee metric. The first channel is a discrete memory-less channel (DMC) matched to the Lee metric. The…

Information Theory · Computer Science 2022-10-19 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

Spatially coupled (SC) interleaving is proposed to improve the performance of iterative multiuser detection and decoding (MUDD) for quasi-static fading multiple-input multiple-output systems. The linear minimum mean-squared error (LMMSE)…

Information Theory · Computer Science 2013-08-20 Keigo Takeuchi , Shuhei Horio

In this paper, we design and compare multilevel polar coding (MLPC) and bit-interleaved polar coded modulation (BIPCM) for uplink sparse code multiple access (SCMA) systems that operate over fast and block fading channels. Both successive…

Information Theory · Computer Science 2017-07-05 Monirosharieh Vameghestahbanati , Ian Marsland , Ramy H. Gohary , Halim Yanikomeroglu