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In practice, since many communication networks are huge in scale, or complicated in structure, or even dynamic, the predesigned linear network codes based on the network topology is impossible even if the topological structure is known.…

Information Theory · Computer Science 2013-02-26 Xuan Guang , Fang-Wei Fu

In practice, since many communication networks are huge in scale or complicated in structure even dynamic, the predesigned network codes based on the network topology is impossible even if the topological structure is known. Therefore,…

Information Theory · Computer Science 2010-10-12 Xuan Guang , Fang-Wei Fu

We consider communication over a noisy network under randomized linear network coding. Possible error mechanism include node- or link- failures, Byzantine behavior of nodes, or an over-estimate of the network min-cut. Building on the work…

Information Theory · Computer Science 2007-11-27 Andrea Montanari , Ruediger Urbanke

This letter considers a network comprising a transmitter, which employs random linear network coding to encode a message, a legitimate receiver, which can recover the message if it gathers a sufficient number of linearly independent coded…

Cryptography and Security · Computer Science 2022-03-08 Amjad Saeed Khan , Andrea Tassi , Ioannis Chatzigeorgiou

Random linear network coding is a particularly decentralized approach to the multicast problem. Use of random network codes introduces a non-zero probability however that some sinks will not be able to successfully decode the required…

Information Theory · Computer Science 2007-07-13 Adria Tauste-Campo , Alex Grant

We consider the level of information security provided by random linear network coding in network scenarios in which all nodes comply with the communication protocols yet are assumed to be potential eavesdroppers (i.e. "nice but curious").…

Information Theory · Computer Science 2007-07-13 Luísa Lima , Muriel Médard , João Barros

In the literature there exists analytical expressions for the probability of a receiver decoding a transmitted source message that has been encoded using random linear network coding. In this work, we look into the probability that the…

Information Theory · Computer Science 2022-03-08 Jessica Claridge , Ioannis Chatzigeorgiou

Network coding allows distributed information sources such as sensors to efficiently compress and transmit data to distributed receivers across a bandwidth-limited network. Classical network coding is largely task-agnostic -- the coding…

Information Theory · Computer Science 2022-11-02 Jiangnan Cheng , Sandeep Chinchali , Ao Tang

Quantum network coding on the butterfly network has been studied as a typical example of quantum multiple cast network. We propose secure quantum network coding on the butterfly network in the multiple unicast setting based on a secure…

Quantum Physics · Physics 2020-10-06 Masaki Owari , Go Kato , Masahito Hayashi

Passive network tomography uses end-to-end observations of network communication to characterize the network, for instance to estimate the network topology and to localize random or adversarial glitches. Under the setting of linear network…

Networking and Internet Architecture · Computer Science 2016-11-15 Hongyi Yao , Sidharth Jaggi , Minghua Chen

We address the problem of optimizing the throughput of network coded traffic in mobile networks operating in challenging environments where connectivity is intermittent and locally available memory space is limited. Random linear network…

Information Theory · Computer Science 2011-04-19 Gabriel Popa

Distributing quantum state and entanglement between distant nodes is a crucial task in distributed quantum information processing on large-scale quantum networks. Quantum network coding provides an alternative solution for quantum state…

Quantum Physics · Physics 2019-11-05 He Lu , Zheng-Da Li , Xu-Fei Yin , Rui Zhang , Xiao-Xu Fang , Li Li , Nai-Le Liu , Feihu Xu , Yu-Ao Chen , Jian-Wei Pan

Hinging on ideas from physical-layer network coding, some promising proposals of coded random access systems seek to improve system performance (while preserving low complexity) by means of packet repetitions and decoding of linear…

Information Theory · Computer Science 2018-05-30 Adriano Pastore , Paul de Kerret , Monica Navarro , David Gregoratti , David Gesbert

As the mobile application landscape expands, wireless networks are tasked with supporting various connection profiles, including real-time communications and delay-sensitive traffic. Among many ensuing engineering challenges is the need to…

Information Theory · Computer Science 2012-02-13 Fatemeh Hamidi-Sepehr , Jean-Francois Chamberland , Henry Pfister

This paper considers a class of wireline networks, derived from the well-known butterfly network, over which two independent unicast sessions take place simultaneously. The main objectives are to understand when network coding type of…

Information Theory · Computer Science 2018-10-16 Gaurav Kumar Agarwal , Martina Cardone , Christina Fragouli

Quantum repeater networks have attracted attention for the implementation of long-distance and large-scale sharing of quantum states. Recently, researchers extended classical network coding, which is a technique for throughput enhancement,…

Quantum Physics · Physics 2016-03-09 Takahiko Satoh , Kaori Ishizaki , Shota Nagayama , Rodney Van Meter

Network Coding (NC) shows great potential in various communication scenarios through changing the packet forwarding principles of current networks. It can improve not only throughput, latency, reliability and security but also alleviates…

Networking and Internet Architecture · Computer Science 2016-01-14 Dávid Szabó , Attila Csoma , Péter Megyesi , András Gulyás , Frank H. P. Fitzek

We consider a single-source, multiple-relay, single-destination lossy network employing Random Linear Network coding at all transmitting nodes. We address the problem of calculating the probability of successful decoding at the destination…

Information Theory · Computer Science 2019-04-12 Evgeny Tsimbalo , Magnus Sandell

This paper is motivated by the problem of error control in network coding when errors are introduced in a random fashion (rather than chosen by an adversary). An additive-multiplicative matrix channel is considered as a model for random…

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

In this paper, we propose a methodology to compute the optimal finite-length coding rate for random linear network coding schemes over a line network. To do so, we first model the encoding, reencoding, and decoding process of different…

Networking and Internet Architecture · Computer Science 2018-05-16 Tan Do-Duy , M. Ángeles Vázquez-Castro
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