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In this paper, we propose a novel three-time-slot transmission scheme combined with an efficient embedded linear channel equalization (ELCE) technique for the Physical layer Network Coding (PNC). Our transmission scheme, we achieve about…

Networking and Internet Architecture · Computer Science 2014-07-09 Ahmed G. Helmy , Tamer Khattab , Mazen O. Hasna

In this work, we propose a fully differentiable graph neural network (GNN)-based architecture for channel decoding and showcase a competitive decoding performance for various coding schemes, such as low-density parity-check (LDPC) and BCH…

Information Theory · Computer Science 2022-10-13 Sebastian Cammerer , Jakob Hoydis , Fayçal Aït Aoudia , Alexander Keller

Physical-layer network coding (PNC) is now well-known as a potential candidate for delay-sensitive and spectrally efficient communication applications, especially in two-way relay channels (TWRCs). In this paper, we present the error…

Information Theory · Computer Science 2017-09-14 Vaibhav Kumar , Barry Cardiff , Mark F. Flanagan

In this paper, we investigate the joint design of channel and network coding in bi-directional relaying systems and propose a combined low complexity physical network coding and LDPC decoding scheme. For the same LDPC codes employed at both…

Information Theory · Computer Science 2013-02-21 Kui Xu , Zhenxing Lv , Youyun Xu , Dongmei Zhang , Xinyi Zhong , Wenwen Liang

Compute and Forward (CF) is a coding scheme which enables receivers to decode linear combinations of simultaneously transmitted messages while exploiting the linear properties of lattice codes and the additive nature of a shared medium. The…

Information Theory · Computer Science 2020-05-12 Ori Shmuel , Asaf Cohen , Omer Gurewitz

Neural machine translation (NMT) takes deterministic sequences for source representations. However, either word-level or subword-level segmentations have multiple choices to split a source sequence with different word segmentors or…

Computation and Language · Computer Science 2019-06-05 Fengshun Xiao , Jiangtong Li , Hai Zhao , Rui Wang , Kehai Chen

In recent years, network coding has emerged as an innovative method that helps wireless network approaches its maximum capacity, by combining multiple unicasts in one broadcast. However, the majority of research conducted in this area is…

Networking and Internet Architecture · Computer Science 2018-01-09 Somayeh Kafaie , Yuanzhu Chen , Mohamed Hossam Ahmed , Octavia A. Dobre

Random linear network codes can be designed and implemented in a distributed manner, with low computational complexity. However, these codes are classically implemented over finite fields whose size depends on some global network parameters…

Information Theory · Computer Science 2010-08-04 Tracey Ho , Sidharth Jaggi , Svitlana Vyetrenko , Lingxiao Xia

We address the problem of constructing of coding schemes for the channels with high-order modulations. It is known, that non-binary LDPC codes are especially good for such channels and significantly outperform their binary counterparts.…

Information Theory · Computer Science 2017-02-09 Valeriya Potapova , Alexey Frolov

In this paper, we study a compute-and-forward (CAF) relaying scheme with low-density parity-check (LDPC) codes, a special case of physical layer network coding, under the quadrature phase shift keying (QPSK) modulation. The novelty of this…

Information Theory · Computer Science 2019-04-18 Satoshi Takabe , Tadashi Wadayama , Ángeles Vazquez-Castro , Masahito Hayashi

In this paper, we are interested in improving the performance of constructive network coding schemes in lossy wireless environments.We propose I2NC - a cross-layer approach that combines inter-session and intra-session network coding and…

Networking and Internet Architecture · Computer Science 2012-02-24 Hulya Seferoglu , Athina Markopoulou , K. K. Ramakrishnan

We address the problem of performing message-passing-based decoding of quantum LDPC codes under hardware latency limitations. We propose a novel way to do layered decoding that suits quantum constraints and outperforms flooded scheduling,…

Quantum Physics · Physics 2023-08-28 Julien Du Crest , Francisco Garcia-Herrero , Mehdi Mhalla , Valentin Savin , Javier Valls

This paper provides a simplified proof for the existence of nested lattice codebooks allowing to achieve the capacity of the additive white Gaussian noise channel, as well as the optimal rate-distortion trade-off for a Gaussian source. The…

Information Theory · Computer Science 2015-08-10 Or Ordentlich , Uri Erez

In energy-time entanglement Quantum Key Distribution (QKD), two users extract a shared secret key from the arrival times (discretized as symbols) of entangled photon pairs. In prior work, Zhou et al. proposed a multi-level coding (MLC)…

Information Theory · Computer Science 2023-05-02 Debarnab Mitra , Lev Tauz , Murat Can Sarihan , Chee Wei Wong , Lara Dolecek

This paper introduces a novel framework for constructing algebraic lattices based on Construction-D, leveraging nested linear codes and prime ideals from algebraic number fields. We focus on the application of these lattices in block-fading…

Information Theory · Computer Science 2025-04-16 Maryam Sadeghi , Hassan Khodaiemehr , Chen Feng

A coding lattice $\Lambda_c$ and a shaping lattice $\Lambda_s$ forms a nested lattice code $\mathcal{C}$ if $\Lambda_s \subseteq \Lambda_c$. Under some conditions, $\mathcal{C}$ is a finite cyclic group formed by rectangular encoding. This…

Information Theory · Computer Science 2024-05-10 Chengpin Luo , Brian M. Kurkoski

Random linear network coding (RLNC) has been shown to efficiently improve the network performance in terms of reducing transmission delays and increasing the throughput in broadcast and multicast communications. However, it can result in…

Systems and Control · Computer Science 2016-10-25 Emmanouil Skevakis , Ioannis Lambadaris

The denoise-and-forward (DNF) method of physical-layer network coding (PNC) is a promising approach for wireless relaying networks. In this paper, we consider DNF-based PNC with M-ary quadrature amplitude modulation (M-QAM) and propose a…

Information Theory · Computer Science 2013-05-14 Shiqiang Wang , Qingyang Song , Lei Guo , Abbas Jamalipour

Low density parity check (LDPC) lattices are obtained from Construction D' and a family of nested binary LDPC codes. We consider an special case of these lattices with one binary LDPC code as underlying code. This special case of LDPC…

Information Theory · Computer Science 2016-08-15 Hassan Khodaiemehr , Dariush Kiani , Mohammad-Reza Sadeghi

Fast data synchronization in wireless ad hoc networks is a challenging and critical problem. It is fundamental for efficient information fusion, control and decision in distributed systems. Previously, distributed data synchronization was…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Die Hu , Xuejun Zhu , Min Gong , Shaoshi Yang