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In this paper, we show how to construct a factor graph from a network code. This provides a systematic framework for decoding using message passing algorithms. The proposed message passing decoder exploits knowledge of the underlying…

Information Theory · Computer Science 2009-04-21 Daniel Salmond , Alex Grant , Terence Chan , Ian Grivell

In this paper, we analyze the coding delay and the average coding delay of random linear network codes (a.k.a. dense codes) and chunked codes (CC), which are an attractive alternative to dense codes due to their lower complexity, over line…

Information Theory · Computer Science 2012-07-26 Anoosheh Heidarzadeh , Amir H. Banihashemi

We present a scheme which offers a significant reduction in the resources required to implement linear optics quantum computing. The scheme is a variation of the proposal of Knill, Laflamme, and Milburn, and makes use of an incremental…

Quantum Physics · Physics 2009-11-10 A. J. F. Hayes , A. Gilchrist , C. R. Myers , T. C. Ralph

Current approaches to the practical implementation of network coding are batch-based, and often do not use feedback, except possibly to signal completion of a file download. In this paper, the various benefits of using feedback in a network…

Networking and Internet Architecture · Computer Science 2009-04-13 Jay Kumar Sundararajan , Devavrat Shah , Muriel Medard

Being an effective non-orthogonal multiple access (NOMA) technique, sparse code multiple access (SCMA) is promising for future wireless communication. Compared with orthogonal techniques, SCMA enjoys higher overloading tolerance and lower…

Information Theory · Computer Science 2018-04-03 Chuan Zhang , Chao Yang , Wei Xu , Shunqing Zhang , Zaichen Zhang , Xiaohu You

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

A framework for linear-programming (LP) decoding of nonbinary linear codes over rings is developed. This framework facilitates linear-programming based reception for coded modulation systems which use direct modulation mapping of coded…

Information Theory · Computer Science 2016-11-15 Mark F. Flanagan , Vitaly Skachek , Eimear Byrne , Marcus Greferath

Topological subsystem codes can combine the advantages of both topological codes and subsystem codes. Suchara et al. proposed a framework based on hypergraphs for construction of such codes. They also studied the performance of some…

Quantum Physics · Physics 2018-06-01 Vinuta V. Gayatri , Pradeep Kiran Sarvepalli

In this paper we introduce the class of Spread Codes for the use in random network coding. Spread Codes are based on the construction of spreads in finite projective geometry. The major contribution of the paper is an efficient decoding…

Information Theory · Computer Science 2016-11-17 Felice Manganiello , Elisa Gorla , Joachim Rosenthal

In this letter, we address blockage detection and precoder design for multiple-input multiple-output (MIMO) links, without communication overhead required. Blockage detection is achieved by classifying light detection and ranging (LIDAR)…

Information Theory · Computer Science 2023-05-23 Matteo Nerini , Bruno Clerckx

This paper presents a novel approach to network coding for distribution of large files. Instead of the usual approach of splitting packets into disjoint classes (also known as generations) we propose the use of overlapping classes. The…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Weifei Zeng , Frank R. Kschischang

Coding schemes for several problems in network information theory are constructed starting from point-to-point channel codes that are designed for symmetric channels. Given that the point-to-point codes satisfy certain properties pertaining…

Information Theory · Computer Science 2023-10-23 Nadim Ghaddar , Shouvik Ganguly , Lele Wang , Young-Han Kim

We consider the problem of minimizing the number of broadcasts for collecting all sensor measurements at a sink node in a noisy broadcast sensor network. Focusing first on arbitrary network topologies, we provide (i) fundamental limits on…

Information Theory · Computer Science 2017-02-01 Yaoqing Yang , Soummya Kar , Pulkit Grover

Parallel transmission, as defined in high-speed Ethernet standards, enables to use less expensive optoelectronics and offers backwards compatibility with legacy Optical Transport Network (OTN) infrastructure. However, optimal parallel…

Networking and Internet Architecture · Computer Science 2013-04-03 Xiaomin Chen , Admela Jukan , Muriel Médard

The applications in the critical infrastructure systems pose simultaneous resilience and performance requirements to the underlying computer network. To meet such requirements, the networks that use the store-and-forward paradigm poses…

Networking and Internet Architecture · Computer Science 2018-09-26 Rakesh Kumar , Vignesh Babu , David M. Nicol

A new coding and queue management algorithm is proposed for communication networks that employ linear network coding. The algorithm has the feature that the encoding process is truly online, as opposed to a block-by-block approach. The…

Information Theory · Computer Science 2016-11-17 Jay Kumar Sundararajan , Devavrat Shah , Muriel Médard

The throughput of users with poor channel conditions, such as those at a cell edge, is a bottleneck in wireless systems. A major part of the power budget must be allocated to serve these users in guaranteeing their quality-of-service (QoS)…

Information Theory · Computer Science 2017-06-07 Van-Dinh Nguyen , Hoang Duong Tuan , Trung Q. Duong , H. Vincent Poor , and Oh-Soon Shin

Optimizing the topology of networks is an important challenge across engineering disciplines. In energy systems, network reconfiguration can substantially reduce losses and costs and thus support the energy transition. Unfortunately, many…

This paper investigates the construction of linear network codes for broadcasting a set of data packets to a number of users. The links from the source to the users are modeled as independent erasure channels. Users are allowed to inform…

Information Theory · Computer Science 2013-12-10 Chi Wan Sung , Linyu Huang , Ho Yuet Kwan , Kenneth W. Shum

We present a new algorithmic paradigm for the decentralized solution of graph-structured optimization problems that arise in the estimation and control of network systems. A key and novel design concept of the proposed approach is that it…

Optimization and Control · Mathematics 2020-04-01 Sungho Shin , Victor M. Zavala , Mihai Anitescu