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This paper characterizes the secret message capacity of three networks where two unicast sessions share some of the communication resources. Each network consists of erasure channels with state feedback. A passive eavesdropper is assumed to…

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

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

This paper investigates the problem of secure communication in a wireline noiseless scenario where a source wishes to communicate to a number of destinations in the presence of a passive external adversary. Different from the multicast…

Information Theory · Computer Science 2019-01-10 Gaurav Kumar Agarwal , Martina Cardone , Christina Fragouli

In this paper, we consider networks with multiple unicast sessions. Generally, non-linear network coding is needed to achieve the whole rate region of network coding. Yet, there exist networks for which routing is sufficient to achieve the…

Information Theory · Computer Science 2014-05-01 Chun Meng , Minghua Chen , Athina Markopoulou

It is common in the study of secure multicast network coding in the presence of an eavesdropper that has access to $z$ network links, to assume that the source node is the only node that generates random keys. In this setting, the secure…

Information Theory · Computer Science 2019-07-09 Debaditya Chaudhuri , Michael Langberg , Michelle Effros

It is natural in a quantum network system that multiple users intend to send their quantum message to their respective receivers, which is called a multiple unicast quantum network. We propose a canonical method to derive a secure quantum…

Quantum Physics · Physics 2020-03-31 Go Kato , Masaki Owari , Masahito Hayashi

Random linear network coding is a feasible encoding tool for network coding, specially for the non-coherent network, and its performance is important in theory and application. In this letter, we study the performance of random linear…

Information Theory · Computer Science 2010-01-18 Xuan Guang , Fang-Wei Fu

This paper studies the two-way butterfly network, a class of two-way four-unicast networks. We first show that bidirectional links do not increase the degrees of freedom for this network thus giving the first example for networks, to the…

Information Theory · Computer Science 2017-11-03 Mehdi Ashraphijuo , Vaneet Aggarwal , Xiaodong Wang

We investigate the classical and quantum networking regimes of the butterfly network and a group of larger networks constructed with butterfly network blocks. By considering simultaneous multicasts from a set of senders to a set of…

Quantum Physics · Physics 2020-04-03 Kieran N. Wilkinson , Thomas P. W. Cope , Stefano Pirandola

This paper studies the problem of information theoretic secure communication when a source has private messages to transmit to $m$ destinations, in the presence of a passive adversary who eavesdrops an unknown set of $k$ edges. The…

Information Theory · Computer Science 2019-04-12 Gaurav Kumar Agarwal , Martina Cardone , Christina Fragouli

Not only is network coding essential to achieve the capacity of a single-session multicast network, it can also help to improve the throughput of wireless networks with multiple unicast sessions when overheard information is available. Most…

Information Theory · Computer Science 2010-03-24 Haishi Ning , Cong Ling , Kin K. Leung

A symmetric butterfly network (BFN) with a full-duplex relay operating in a bi-directional fashion for feedback is considered. This network is relevant for a variety of wireless networks, including cellular systems dealing with cell-edge…

Information Theory · Computer Science 2012-07-30 Anas Chaaban , Aydin Sezgin , Daniela Tuninetti

In this paper we close the gap between end-to-end diversity coding and intra-session network coding for unicast connections resilient against single link failures. In particular, we show that coding operations are sufficient to perform at…

Information Theory · Computer Science 2014-09-15 Peter Babarczi , Janos Tapolcai , Lajos Ronyai , Muriel Medard

In secure network coding, there is a possibility that the eavesdropper can improve her performance when she changes (contaminates) the information on the attacked edges (active attack) and chooses the attacked edges adaptively (adaptive…

Information Theory · Computer Science 2024-09-10 Ning Cai , Masahito Hayashi

We study the sum capacity of multiple unicasts in wired and wireless multihop networks. With 2 source nodes and 2 sink nodes, there are a total of 4 independent unicast sessions (messages), one from each source to each sink node (this…

Information Theory · Computer Science 2011-04-07 Chenwei Wang , Tiangao Gou , Syed A. Jafar

We consider a multicast scenario involving an ad hoc network of co-channel MIMO nodes in which a source node attempts to share a streaming message with all nodes in the network via some pre-defined multi-hop routing tree. The message is…

Information Theory · Computer Science 2012-01-04 Feng Jiang , Jianqi Wang , A. Lee Swindlehurst

We study the k-pair communication problem for quantum information in networks of quantum channels. We consider the asymptotic rates of high fidelity quantum communication between specific sender-receiver pairs. Four scenarios of classical…

Quantum Physics · Physics 2016-11-15 Debbie Leung , Jonathan Oppenheim , Andreas Winter

In recent years, a significant amount of research has been conducted to explore the benefits of network coding in different scenarios, from both theoretical and simulation perspectives. In this paper, we utilize queueing theory to propose…

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

This paper starts by assuming a 1-2-1 network, the abstracted noiseless model of mmWave networks that was shown to closely approximate the Gaussian capacity in [1], and studies secure communication. First, the secure capacity is derived for…

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

The secrecy capacity of a network, for a given collection of permissible wiretap sets, is the maximum rate of communication such that observing links in any permissible wiretap set reveals no information about the message. This paper…

Information Theory · Computer Science 2016-11-17 Tao Cui , Tracey Ho , Joerg Kliewer
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