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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

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

This paper considers a multi-source multi-relay network, in which relay nodes employ a coding scheme based on random linear network coding on source packets and generate coded packets. If a destination node collects enough coded packets, it…

Information Theory · Computer Science 2022-03-08 Amjad Saeed Khan , Ioannis Chatzigeorgiou

The vision of wireless sensor networks is one of a smart collection of tiny, dumb devices. These motes may be individually cheap, unintelligent, imprecise, and unreliable. Yet they are able to derive strength from numbers, rendering the…

Information Theory · Computer Science 2007-07-13 A. G. Dimakis , D. Petrovic , K. Ramchandran

We consider the problem of serving multicast flows in a crossbar switch. We show that linear network coding across packets of a flow can sustain traffic patterns that cannot be served if network coding were not allowed. Thus, network coding…

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

Network data enriched with textual information, referred to as text networks, arise in a wide range of applications, including email communications, scientific collaborations, and legal contracts. In such settings, both the structure of…

Methodology · Statistics 2025-05-09 Maoyu Zhang , Biao Cai , Dong Li , Xiaoyue Niu , Jingfei Zhang

We give an information flow interpretation for multicasting using network coding. This generalizes the fluid model used to represent flows to a single receiver. Using the generalized model, we present a decentralized algorithm to minimize…

Information Theory · Computer Science 2007-07-13 Kapil Bhattad , Niranjan Ratnakar , Ralf Koetter , Krishna R. Narayanan

To reduce computational complexity and delay in randomized network coded content distribution, and for some other practical reasons, coding is not performed simultaneously over all content blocks, but over much smaller, possibly overlapping…

Information Theory · Computer Science 2016-11-17 Yao Li , Emina Soljanin , Predrag Spasojevic

In the same way that classical computer networks connect and enhance the capabilities of classical computers, quantum networks can combine the advantages of quantum information and communications. We propose a non-classical network element,…

Quantum Physics · Physics 2007-07-21 Juan Carlos Garcia-Escartin , Pedro Chamorro-Posada

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 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

This article explores the application of coding techniques for fault-tolerant quantum computation and extends their usage to fault-tolerant quantum communication. We review repeater-based quantum networks, emphasizing the roles of coding…

Quantum Physics · Physics 2024-08-08 Ching-Yi Lai , Kao-Yueh Kuo

This paper considers vector network coding based on rank-metric codes and subspace codes. Our main result is that vector network coding can significantly reduce the required field size compared to scalar linear network coding in the same…

Information Theory · Computer Science 2016-05-16 Tuvi Etzion , Antonia Wachter-Zeh

Segment Routing is a recent network technology that helps optimizing network throughput by providing finer control over the routing paths. Instead of routing directly from a source to a target, packets are routed via intermediate waypoints.…

Computational Complexity · Computer Science 2025-01-08 Cristina Bazgan , Morgan Chopin , André Nichterlein , Camille Richer

A main distinguishing feature of a wireless network compared with a wired network is its broadcast nature, in which the signal transmitted by a node may reach several other nodes, and a node may receive signals from several other nodes,…

Networking and Internet Architecture · Computer Science 2009-10-15 Zhang Shengli , Soung Chang Liew

Much of the current theory of networked control systems uses simple point-to-point communication models as an abstraction of the underlying network. As a result, the controller has very limited information on the network conditions and…

Systems and Control · Computer Science 2011-03-29 Phoebus Chen , Chithrupa Ramesh , Karl H. Johansson

We resolve the question of optimality for a well-studied packetized implementation of random linear network coding, called PNC. In PNC, in contrast to the classical memoryless setting, nodes store received information in memory to later…

Information Theory · Computer Science 2011-02-18 Bernhard Haeupler , MinJi Kim , Muriel Médard

Today's networks are controlled assuming pre-compressed and packetized data. For video, this assumption of data packets abstracts out one of the key aspects - the lossy compression problem. Therefore, first, this paper develops a framework…

Information Theory · Computer Science 2011-06-03 Jubin Jose , Sriram Vishwanath

All communication networks comprise of transmission systems and switching systems, even though they are usually treated as two separate issues. Communication channels are generally disturbed by noise from various sources. In circuit…

Information Theory · Computer Science 2007-07-13 Tony T. Lee

In this work, a new region-based, multipath-enabled packet routing is presented and called SmartPacket Routing. The proposed approach provides several opportunities to re-distribute the smartness and decision making among various elements…

Networking and Internet Architecture · Computer Science 2015-01-20 Reza Farrahi Moghaddam , Mohamed Cheriet
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