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Related papers: The Limitation of Random Network Coding

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Due to the short and bursty incoming messages, channel access activities in a wireless random access system are often fractional. The lack of frequent data support consequently makes it difficult for the receiver to estimate and track the…

Information Theory · Computer Science 2011-10-11 Zheng Wang , Jie Luo

Random linear network coding (RLNC) unicast protocol is analyzed over a rapidly-changing network topology. We model the probability mass function (pmf) of the dissemination time as a sequence of independent geometric random variables whose…

Information Theory · Computer Science 2014-04-01 Shwan Ashrafi , Sumit Roy , Hamed Firooz

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

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

While feasibility and obtaining a solution of a given network coding problem are well studied, the decoding procedure and complexity have not garnered much attention. We consider the decoding problem in a network wherein the sources…

Information Theory · Computer Science 2015-10-14 Anindya Gupta , B. Sundar Rajan

Satellite networks provide unique challenges that can restrict users' quality of service. For example, high packet erasure rates and large latencies can cause significant disruptions to applications such as video streaming or voice-over-IP.…

Networking and Internet Architecture · Computer Science 2015-06-23 Jason Cloud , Muriel Medard

The derivation of ultimate limits to communication over certain quantum repeater networks have provided extremely valuable benchmarks for assessing near-term quantum communication protocols. However, these bounds are usually derived in the…

Quantum Physics · Physics 2022-06-02 Riccardo Laurenza , Nathan Walk , Jens Eisert , Stefano Pirandola

This work develops an LLM-based optimization framework ensuring strict constraint satisfaction in network optimization. While LLMs possess contextual reasoning capabilities, existing approaches often fail to enforce constraints, causing…

Networking and Internet Architecture · Computer Science 2025-09-10 Youngjin Song , Wookjin Lee , Hong Ki Kim , Sang Hyun Lee

Network coding (NC), when combined with multipath routing, enables a linear programming (LP) formulation for a multi-source multicast with intra-session network coding (MISNC) problem. However, it is still hard to solve using conventional…

Networking and Internet Architecture · Computer Science 2020-12-29 Jianwei Zhang

As parallelism becomes critically important in the semiconductor technology, high-performance computing, and cloud applications, parallel network systems will increasingly follow suit. Today, parallelism is an essential architectural…

Performance · Computer Science 2017-07-11 Anna Engelmann , Wolfgang Bziuk , Admela Jukan , Muriel Medard

In this paper, we study video streaming over wireless networks with network coding capabilities. We build upon recent work, which demonstrated that network coding can increase throughput over a broadcast medium, by mixing packets from…

Networking and Internet Architecture · Computer Science 2007-06-12 Hulya Seferoglu , Athina Markopoulou

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

Determining the achievable rate region for networks using routing, linear coding, or non-linear coding is thought to be a difficult task in general, and few are known. We describe the achievable rate regions for four interesting networks…

Information Theory · Computer Science 2021-02-09 Randall Dougherty , Chris Freiling , Kenneth Zeger

We consider network coding for networks experiencing worst-case bit-flip errors, and argue that this is a reasonable model for highly dynamic wireless network transmissions. We demonstrate that in this setup prior network error-correcting…

Information Theory · Computer Science 2011-08-16 Qiwen Wang , Sidharth Jaggi , Shuo-Yen Robert Li

This paper examines the problem of rate allocation for multicasting over slow Rayleigh fading channels using network coding. In the proposed model, the network is treated as a collection of Rayleigh fading multiple access channels. In this…

Networking and Internet Architecture · Computer Science 2014-03-27 Avi Zanko , Amir Leshem , Ephraim Zehavi

This paper investigates the maximum coding rate at which data can be transmitted over a noncoherent, multiple-input, multiple-output (MIMO) Rayleigh block-fading channel using an error-correcting code of a given blocklength with a…

Information Theory · Computer Science 2025-11-19 Chao Qi , Tobias Koch

We consider a dissipative flow network that obeys the standard linear nodal flow conservation, and where flows on edges are driven by potential difference between adjacent nodes. We show that in the case when the flow is a monotonically…

Optimization and Control · Mathematics 2015-04-10 Sidhant Misra , Marc Vuffray , Michael Chertkov

The Maximum Flow Problem with Conflict Constraints is a generalization that adds conflict constraints to a classical optimization problem on networks used to model several real-world applications. In the last few years several approaches,…

Optimization and Control · Mathematics 2025-03-26 Roberto Montemanni , Derek H. Smith

The problem of characterizing the optimal rate achievable with analog network coding (ANC) for a unicast communication over general wireless relay networks is computationally hard. A relay node performing ANC scales and forwards its input…

Information Theory · Computer Science 2014-11-03 Samar Agnihotri

Minimal multicast networks are fascinating and efficient combinatorial objects, where the removal of a single link makes it impossible for all receivers to obtain all messages. We study the structure of such networks, and prove some…

Information Theory · Computer Science 2019-09-16 Han Cai , Johan Chrisnata , Tuvi Etzion , Moshe Schwartz , Antonia Wachter-Zeh