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In a single hop broadcast packet erasure network, we demonstrate that it is possible to provide multirate packet delivery outside of what is given by the network min-cut. This is achieved by using a deterministic non-block-based network…

Information Theory · Computer Science 2014-01-06 Amy Fu , Parastoo Sadeghi , Muriel Medard

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

We consider the delay of network coding compared to routing with retransmissions in packet erasure networks with probabilistic erasures. We investigate the sub-linear term in the block delay required for unicasting $n$ packets and show that…

Information Theory · Computer Science 2012-11-15 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho , Michelle Effros

We consider the communication capacity of wireline networks for a two-unicast traffic pattern. The network has two sources and two destinations with each source communicating a message to its own destination, subject to the capacity…

Information Theory · Computer Science 2015-06-04 Sudeep Kamath , Venkat Anantharam , David Tse , Chih-Chun Wang

We consider the problem of establishing minimum-cost multicast connections over coded packet networks, i.e. packet networks where the contents of outgoing packets are arbitrary, causal functions of the contents of received packets. We…

Information Theory · Computer Science 2007-07-16 Desmond S. Lun , Niranjan Ratnakar , Muriel Medard , Ralf Koetter , David R. Karger , Tracey Ho , Ebad Ahmed , Fang Zhao

In "On Coding for Reliable Communication over Packet Networks" (Lun, Medard, and Effros, Proc. 42nd Annu. Allerton Conf. Communication, Control, and Computing, 2004), a capacity-achieving coding scheme for unicast or multicast over lossy…

Information Theory · Computer Science 2007-07-16 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

We consider the problem of linear network coding over communication networks, representable by directed acyclic graphs, with multiple groupcast sessions: the network comprises of multiple destination nodes, each desiring messages from…

Information Theory · Computer Science 2014-02-05 Abhik Kumar Das , Siddhartha Banerjee , Sriram Vishwanath

In Index coding there is a single sender with multiple messages and multiple receivers each wanting a different set of messages and knowing a different set of messages a priori. The Index Coding problem is to identify the minimum number of…

Information Theory · Computer Science 2015-04-21 Kavitha. R , B. Sundar Rajan

This paper considers vector network coding solutions based on rank-metric codes and subspace codes. The main result of this paper is that vector solutions can significantly reduce the required alphabet size compared to the optimal scalar…

Information Theory · Computer Science 2018-01-16 Tuvi Etzion , Antonia Wachter-Zeh

The problem of serving multicast flows in a crossbar switch is considered. Intra-flow linear network coding is shown to achieve a larger rate region than the case without coding. A traffic pattern is presented which is achievable with…

Networking and Internet Architecture · Computer Science 2016-11-17 MinJi Kim , Jay Kumar Sundararajan , Muriel Medard , Atilla Eryilmaz , Ralf Koetter

Coded multicasting has been shown to improve the caching performance of content delivery networks with multiple caches downstream of a common multicast link. However, the schemes that have been shown to achieve order-optimal perfor- mance…

Information Theory · Computer Science 2015-11-25 Mingyue Ji , Karthikeyan Shanmugam , Giuseppe Vettigli , Jaime Llorca , Antonia M. Tulino , Giuseppe Caire

We consider the problem of computing the capacity of a coded, multicast network over a small alphabet. We introduce a novel approach to this problem based on mixed integer programming. As an application of our approach, we recover, extend…

Information Theory · Computer Science 2022-12-15 Christopher Hojny , Altan B. Kilic , Alberto Ravagnani

One of the main theoretical motivations for the emerging area of network coding is the achievability of the max-flow/min-cut rate for single source multicast. This can exceed the rate achievable with routing alone, and is achievable with…

Information Theory · Computer Science 2008-02-04 Terence Chan , Alex Grant

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

This paper tackles the problem of transmitting a common content to a number of cellular users by means of instantly decodable network coding (IDNC) with the help of intermittently connected D2D links. Of particular interest are broadcasting…

Networking and Internet Architecture · Computer Science 2020-06-23 Juwendo Denis , Hulya Seferoglu

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

Problems related to network coding for acyclic, instantaneous networks (where the edges of the acyclic graph representing the network are assumed to have zero-delay) have been extensively dealt with in the recent past. The most prominent of…

Information Theory · Computer Science 2013-07-09 K. Prasad , B. Sundar Rajan

Coded multicasting has been shown to be a promis- ing approach to significantly improve the caching performance of content delivery networks with multiple caches downstream of a common multicast link. However, achievable schemes proposed to…

Information Theory · Computer Science 2015-11-25 Giuseppe Vettigli , Mingyue Ji , Antonia M. Tulino , Jaime Llorca , Paola Festa

In a multihop wireless network, wireless interference is crucial to the maximum multiflow (MMF) problem, which studies the maximum throughput between multiple pairs of sources and sinks. In this paper, we observe that network coding could…

Information Theory · Computer Science 2012-02-15 Jin-Yi Zhou , Shu-Tao Xia , Yong Jiang , Hai-Tao Zheng

We consider the energy savings that can be obtained by employing network coding instead of plain routing in wireless multiple unicast problems. We establish lower bounds on the benefit of network coding, defined as the maximum of the ratio…

Information Theory · Computer Science 2011-08-19 Jasper Goseling , Ruytaroh Matsumoto , Tomohiko Uyematsu , Jos H. Weber