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Reliably transmitting messages despite information loss due to a noisy channel is a core problem of information theory. One of the most important aspects of real world communication, e.g. via wifi, is that it may happen at varying levels of…

Machine Learning · Computer Science 2020-04-02 Karen Ullrich , Fabio Viola , Danilo Jimenez Rezende

Reliable broadcasting data to multiple receivers over lossy wireless channels is challenging due to the heterogeneity of the wireless link conditions. Automatic Repeat-reQuest (ARQ) based retransmission schemes are bandwidth inefficient due…

Networking and Internet Architecture · Computer Science 2016-12-30 Dong Nguyen , Canh Nguyen , Thuan Duong-Ba , Hung Nguyen , Anh Nguyen , Tuan Tran

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

This paper considers a source, which employs random linear coding (RLC) to encode a message, a legitimate destination, which can recover the message if it gathers a sufficient number of coded packets, and an eavesdropper. The probability of…

Information Theory · Computer Science 2022-03-24 Ioannis Chatzigeorgiou

The capability of nodes to broadcast their message to the entire wireless network when nodes employ cooperation is considered. We employ an asymptotic analysis using an extended random network setting and show that the broadcast performance…

Information Theory · Computer Science 2015-03-19 Cagatay Capar , Dennis Goeckel , Don Towsley

Reliable and low latency multicast communication is important for future vehicular communication. Sparse random linear network coding approach used to ensure the reliability of multicast communication has been widely investigated. A…

Information Theory · Computer Science 2020-10-13 Wenlin Chen , Fang Lu , Yan Dong

We assess the practicality of random network coding by illuminating the issue of overhead and considering it in conjunction with increasingly long packets sent over the erasure channel. We show that the transmission of increasingly long…

Information Theory · Computer Science 2007-07-13 Brooke Shrader , Anthony Ephremides

Predicting missing links in real networks is an important problem in network science to which considerable efforts have been devoted, giving as a result a vast plethora of link prediction methods in the literature. In this work, we take a…

Physics and Society · Physics 2019-02-04 Guillermo García-Pérez , Roya Aliakbarisani , Abdorasoul Ghasemi , M. Ángeles Serrano

We use random linear network coding (RLNC) based scheme for multipath communication in the presence of lossy links with different delay characteristics to obtain ultra-reliability and low latency. A sliding window version of RLNC is…

Networking and Internet Architecture · Computer Science 2018-02-05 Frank Gabriel , Anil Kumar Chorppath , Ievgenii Tsokalo , Frank H. P. Fitzek

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

Error probabilities of random codes for memoryless channels are considered in this paper. In the area of communication systems, admissible error probability is very small and it is sometimes more important to discuss the relative gap…

Information Theory · Computer Science 2015-06-11 Junya Honda

Sparse random linear network coding (SRLNC) is an attractive technique proposed in the literature to reduce the decoding complexity of random linear network coding. Recognizing the fact that the existing SRLNC schemes are not efficient in…

Information Theory · Computer Science 2013-11-12 Kaveh Mahdaviani , Raman Yazdani , Masoud Ardakani

In this work, we introduce convolutional codes for network-error correction in the context of coherent network coding. We give a construction of convolutional codes that correct a given set of error patterns, as long as consecutive errors…

Information Theory · Computer Science 2009-08-06 K. Prasad , B. Sundar Rajan

We consider the scenario in which a set of sources generate messages in a network and a receiver node demands an arbitrary linear function of these messages. We formulate an algebraic test to determine whether an arbitrary network can…

Information Theory · Computer Science 2011-02-24 Rathinakumar Appuswamy , Massimo Franceschetti

Network coding has been widely used as a technology to ensure efficient and reliable communication. The ability to recode packets at the intermediate nodes is a major benefit of network coding implementations. This allows the intermediate…

Networking and Internet Architecture · Computer Science 2023-06-21 Vipindev Adat Vasudevan , Tarun Soni , Muriel Médard

We propose a framework to evaluate the so-called random-coding union bound with parameter $s$ (RCUs) on the achievable error probability in the finite-blocklength regime for a pilot-assisted transmission scheme operating over an imperfectly…

Information Theory · Computer Science 2024-09-10 A. Oguz Kislal , Madhavi Rajiv , Giuseppe Durisi , Erik G. Ström , Urbashi Mitra

In the field of computer science, the network reliability problem for evaluating the network failure probability has been extensively investigated. For a given undirected graph $G$, the network failure probability is the probability that…

Information Theory · Computer Science 2011-07-27 Akiyuki Yano , Tadashi Wadayama

This paper deals with a universal coding problem for a certain kind of multiterminal source coding network called a generalized complementary delivery network. In this network, messages from multiple correlated sources are jointly encoded,…

Information Theory · Computer Science 2009-04-02 Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka , Shun Watanabe

In this paper, we study networks of positive linear systems subject to time-invariant and random uncertainties. We present linear matrix inequalities for checking the stability of the whole network around the origin with prescribed…

Optimization and Control · Mathematics 2016-11-09 Masaki Ogura , Victor M. Preciado

Methods for determining the percolation threshold usually study the behavior of network ensembles and are often restricted to a particular type of probabilistic node/link removal strategy. We propose a network-specific method to determine…

Disordered Systems and Neural Networks · Physics 2015-05-30 Dane Taylor , Juan G. Restrepo
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