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Linear Network Coding Over Rings – Part II: Vector Codes and Non-Commutative Alphabets [PDF]

open access: yesIEEE Transactions on Information Theory, 2016
In Part I, we studied linear network coding over finite commutative rings and made comparisons to the well-studied case of linear network coding over finite fields. Here, we consider the more general setting of linear network coding over finite (possibly
Joseph Connelly, K. Zeger
semanticscholar   +1 more source

On Field Size and Success Probability in Network Coding [PDF]

open access: yes, 2008
Using tools from algebraic geometry and Groebner basis theory we solve two problems in network coding. First we present a method to determine the smallest field size for which linear network coding is feasible.
Geil, Olav   +2 more
core   +2 more sources

Linear Network Coding Over Rings – Part I: Scalar Codes and Commutative Alphabets [PDF]

open access: yesIEEE Transactions on Information Theory, 2016
Linear network coding over finite fields is a well-studied problem. We consider the more general setting of linear coding for directed acyclic networks with finite commutative ring alphabets.
Joseph Connelly, K. Zeger
semanticscholar   +1 more source

Linear coding for network computing [PDF]

open access: yes2011 IEEE International Symposium on Information Theory Proceedings, 2011
We study the use of linear codes for network computing in single-receiver networks with various classes of target functions of the source messages. Such classes include reducible, injective, and semi-injective target functions. Computing capacity bounds are given with respect to these target function classes for network codes that use routing, linear ...
Rathinakumar Appuswamy   +3 more
openaire   +1 more source

Analysis and Optimization of Sparse Random Linear Network Coding for Reliable Multicast Services [PDF]

open access: yesIEEE Transactions on Communications, 2015
Point-to-multipoint communications are expected to play a pivotal role in next-generation networks. This paper refers to a cellular system transmitting layered multicast services to a multicast group of users. Reliability of communications is ensured via
Andrea Tassi   +2 more
semanticscholar   +1 more source

Minimal header overhead for random linear network coding [PDF]

open access: yes2015 IEEE International Conference on Communication Workshop (ICCW), 2015
The energy used to transmit a single bit of data between the devices in sensor networks is equal to the energy for performing hundreds of instructions in those devices.
D. Gligoroski   +2 more
semanticscholar   +1 more source

A fast network coding scheme for mobile wireless sensor networks

open access: yesInternational Journal of Distributed Sensor Networks, 2017
In mobile wireless sensor networks, linear network coding has been shown to improve the performance of network throughput and reduce delay. However, the linear dependence of coded packets caused by linear network coding will result in significant ...
Chen Han, Yuwang Yang, Xu Han
doaj   +1 more source

Opportunistic Relaying and Random Linear Network Coding for Secure and Reliable Communication

open access: yesIEEE Transactions on Wireless Communications, 2018
Opportunistic relaying has the potential to achieve full diversity gain, while random linear network coding (RLNC) can reduce latency and energy consumption.
Amjad Saeed Khan, Ioannis Chatzigeorgiou
semanticscholar   +1 more source

Average Throughput with Linear Network Coding over Finite Fields: The Combination Network Case

open access: yesEURASIP Journal on Wireless Communications and Networking, 2008
We characterize the average linear network coding throughput, Tc avg, for the combination network with min-cut 2 over an arbitrary finite field. We also provide a network code, completely specified by the field size, achieving Tc avg for the ...
Abbas Yongacoglu, Ali Al-Bashabsheh
doaj   +2 more sources

A Survey of Linear Network Coding and Network Error Correction Code Constructions and Algorithms

open access: yesInternational Journal of Digital Multimedia Broadcasting, 2011
Network coding was introduced by Ahlswede et al. in a pioneering work in 2000. This paradigm encompasses coding and retransmission of messages at the intermediate nodes of the network.
Michele Sanna, Ebroul Izquierdo
doaj   +1 more source

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