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Network coding is a new technique to transmit data through a network by letting the intermediate nodes combine the packets they receive. Given a network, the network coding solvability problem decides whether all the packets requested by…

Information Theory · Computer Science 2013-07-24 Maximilien Gadouleau

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

The problem of error correction in both coherent and noncoherent network coding is considered under an adversarial model. For coherent network coding, where knowledge of the network topology and network code is assumed at the source and…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang

Randomized network coding (RNC) greatly reduces the complexity of implementing network coding in large-scale, heterogeneous networks. This paper examines two tradeoffs in applying RNC: The first studies how the performance of RNC varies…

Information Theory · Computer Science 2009-02-18 Yingda Chen , Shalinee Kishore

Low Rank Parity Check (LRPC) codes form a class of rank-metric error-correcting codes that was purposely introduced to design public-key encryption schemes. An LRPC code is defined from a parity check matrix whose entries belong to a…

Information Theory · Computer Science 2023-09-26 Étienne Burle , Ayoub Otmani

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…

Information Theory · Computer Science 2007-07-13 Zhang Shengli , Soung-Chang Liew , Patrick P. K. Lam

Incorrect implementations of network protocol message specifications affect the stability, security, and cost of network system development. Most implementation defects fall into one of three categories of well defined message constraints.…

Networking and Internet Architecture · Computer Science 2013-11-15 C. Jasson Casey , Andrew Sutton , Gabriel Dos Reis , Alex Sprintson

Real-time applications require latencies on the order of a millisecond with very high reliabilities, paralleling the requirements for high-performance industrial control. Current wireless technologies like WiFi, Bluetooth, LTE, etc. are…

Information Theory · Computer Science 2018-03-15 Vasuki Narasimha Swamy , Paul Rigge , Gireeja Ranade , Anant Sahai , Borivoje Nikolic

Power-law networks such as the Internet, terrorist cells, species relationships, and cellular metabolic interactions are susceptible to node failures, yet maintaining network connectivity is essential for network functionality.…

Physics and Society · Physics 2015-05-08 Sarah LaRocca , Seth Guikema

In network communications, information transmission often encounters wiretapping attacks. Secure network coding is introduced to prevent information from being leaked to adversaries. The investigation of performance bounds on the numbers of…

Information Theory · Computer Science 2015-05-07 Xuan Guang , Jiyong Lu , Fang-Wei Fu

We study the problem of guaranteeing the connectivity of a given graph by protecting or strengthening edges. Herein, a protected edge is assumed to be robust and will not fail, which features a non-uniform failure model. We introduce the…

Data Structures and Algorithms · Computer Science 2025-01-09 Felix Hommelsheim , Zhenwei Liu , Nicole Megow , Guochuan Zhang

Networks play a central role in cyber-security: networks deliver security attacks, suffer from them, defend against them, and sometimes even cause them. This article is a concise tutorial on the large subject of networks and security,…

Networking and Internet Architecture · Computer Science 2020-06-09 Pamela Zave , Jennifer Rexford

We address the problem of optimizing the throughput of network coded traffic in mobile networks operating in challenging environments where connectivity is intermittent and locally available memory space is limited. Random linear network…

Information Theory · Computer Science 2011-04-19 Gabriel Popa

Deep learning-based approaches have been developed to solve challenging problems in wireless communications, leading to promising results. Early attempts adopted neural network architectures inherited from applications such as computer…

Information Theory · Computer Science 2022-11-07 Yifei Shen , Jun Zhang , S. H. Song , Khaled B. Letaief

We approach the problem of linear network coding for multicast networks from different perspectives. We introduce the notion of the coding points of a network, which are edges of the network where messages combine and coding occurs. We give…

Information Theory · Computer Science 2024-02-07 Sarah E. Anderson , Wael Halbawi , Nathan Kaplan , Hiram H. López , Felice Manganiello , Emina Soljanin , Judy Walker

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

The problem of finding network codes for general connections is inherently difficult in capacity constrained networks. Resource minimization for general connections with network coding is further complicated. Existing methods for…

Information Theory · Computer Science 2016-07-05 Ying Cui , Muriel Médard , Fan Lai , Edmund Yeh , Douglas Leith , Ken Duffy , Dhaivat Pandya

Network Coding encourages information coding across a communication network. While the necessity, benefit and complexity of network coding are sensitive to the underlying graph structure of a network, existing theory on network coding often…

Information Theory · Computer Science 2013-05-22 Xunrui Yin , Yan Wang , Zongpeng Li , Xin Wang , Xiangyang Xue

In this paper, we present algorithms for designing networks that are robust to node failures with minimal or limited number of links. We present algorithms for both the static network setting and the dynamic network setting; setting where…

Data Structures and Algorithms · Computer Science 2022-11-09 Deepan Muthirayan , Pramod P. Khargonekar

In this paper we define the overflow problem of a network coding storage system in which the encoding parameter and the storage parameter are mismatched. Through analyses and experiments, we first show the impacts of the overflow problem in…

Cryptography and Security · Computer Science 2017-02-20 Yu-Jia Chen , Li-Chun Wang
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