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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 present the problem of two-terminal source coding with Common Sum Reconstruction (CSR). Consider two terminals, each with access to one of two correlated sources. Both terminals want to reconstruct the sum of the two sources under some…

Information Theory · Computer Science 2022-09-26 Tharindu Adikari , Stark Draper

A general multi-terminal source code and a general multi-terminal channel code are presented. Constrained-random-number generators with sparse matrices, which are building blocks for the code construction, are used in the construction of…

Information Theory · Computer Science 2018-01-11 Jun Muramatsu , Shigeki Miyake

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

The network communication scenario where one or more receivers request all the information transmitted by different sources is considered. We introduce distributed polynomial-time network codes in the presence of malicious nodes. Our codes…

Networking and Internet Architecture · Computer Science 2010-01-18 Hongyi Yao , Theodoros K. Dikaliotis , Sidharth Jaggi , Tracey Ho

The network coding problem asks whether data throughput in a network can be increased using coding (compared to treating bits as commodities in a flow). While it is well-known that a network coding advantage exists in directed graphs, the…

Computational Complexity · Computer Science 2025-10-22 Mark Braverman , Zhongtian He

While every network node only relays messages in a traditional communication system, the recent network coding (NC) paradigm proposes to implement simple in-network processing with packet combinations in the nodes. NC extends the concept of…

Multimedia · Computer Science 2016-11-15 Enrico Magli , Mea Wang , Pascal Frossard , Athina Markopoulou

This paper considers the problem of simultaneously communicating two messages, a high-security message and a low-security message, to a legitimate receiver, referred to as the security embedding problem. An information-theoretic formulation…

Information Theory · Computer Science 2011-02-09 Hung D. Ly , Tie Liu , Yufei Blankenship

In a recent work, a capacity-achieving scheme for the common-message two-user MIMO broadcast channel, based on single-stream coding and decoding, was described. This was obtained via a novel joint unitary triangularization which is applied…

Information Theory · Computer Science 2011-06-01 Anatoly Khina , Ayal Hitron , Uri Erez

The problem of simultaneous multicasting of multiple messages with the help of a relay terminal is considered. In particular, a model is studied in which a relay station simultaneously assists two transmitters in multicasting their…

Information Theory · Computer Science 2009-02-19 Deniz Gunduz , Osvaldo Simeone , Andrea J. Goldsmith , H. Vincent Poor , Shlomo Shamai

In this paper, we study the data gathering problem in the context of power grids by using a network of sensors, where the sensed data have inter-node redundancy. Specifically, we propose a new transmission method, calledquantized network…

Information Theory · Computer Science 2012-10-29 Mahdy Nabaee , Fabrice Labeau

When two or more users in a wireless network transmit simultaneously, their electromagnetic signals are linearly superimposed on the channel. As a result, a receiver that is interested in one of these signals sees the others as unwanted…

Information Theory · Computer Science 2011-03-01 Bobak Nazer , Michael Gastpar

Link and node failures are common two fundamental problems that affect operational networks. Hence, protection of communication networks is essential to increase their reliability, performance, and operations. Much research work has been…

Information Theory · Computer Science 2009-06-30 Salah A. Aly , Ahmed E. Kamal

The focus of user behavior in the Internet has changed over the recent years towards being driven by exchanging and accessing information. Many advances in networking technologies have utilized this change by focusing on the content of an…

Networking and Internet Architecture · Computer Science 2012-01-12 Marie-Jose Montpetit , Cedric Westphal , Dirk Trossen

Network coding has the potential to improve the overall throughput of a network by combining different streams of data and forwarding them. In wireless networks, the wireless channel provide an excellent medium for physical layer network…

Information Theory · Computer Science 2008-06-24 Su Kiang Kuek , Chau Yuen , Woon Hau Chin

We consider the problem of multicasting information from a source to a set of receivers over a network where intermediate network nodes perform randomized network coding operations on the source packets. We propose a channel model for the…

Information Theory · Computer Science 2010-11-17 Mahdi Jafari Siavoshani , Soheil Mohajer , Christina Fragouli , Suhas Diggavi

Systems that employ network coding for content distribution convey to the receivers linear combinations of the source packets. If we assume randomized network coding, during this process the network nodes collect random subspaces of the…

Information Theory · Computer Science 2016-11-17 Mahdi Jafari Siavoshani , Christina Fragouli , Suhas Diggavi

It is shown that polar coding schemes achieve the known achievable rate regions for several multi-terminal communications problems including lossy distributed source coding, multiple access channels and multiple descriptions coding. The…

Information Theory · Computer Science 2014-04-29 Aria G. Sahebi , S. Sandeep Pradhan

This paper considers a problem of quantum communication between parties that are connected through a network of quantum channels. The model in this paper assumes that there is no prior entanglement shared among any of the parties, but that…

Quantum Physics · Physics 2016-05-30 Hirotada Kobayashi , Francois Le Gall , Harumichi Nishimura , Martin Roetteler

Since the publication of Shannon's theory of one terminal source coding, a number of interesting extensions have been derived by researchers such as Slepian-Wolf, Wyner, Ahlswede-K\"{o}rner, Wyner-Ziv and Berger-Yeung. Specifically, the…

Information Theory · Computer Science 2007-07-13 Soumya Jana