An algebraic approach to network coding

R Koetter, M Médard - IEEE/ACM transactions on networking, 2003 - ieeexplore.ieee.org
… Building on recent work by Li et al., who examined the network capacity of multicast networks,
we extend the network coding framework to arbitrary networks and robust networking. For …

Beyond routing: An algebraic approach to network coding

R Koetter, M Médard - … Twenty-First Annual Joint Conference of …, 2002 - ieeexplore.ieee.org
… are algebraic in nature and draw on concepts from algebraic geometry. In particular, we
will relate the network coding problem to the problem of finding points on algebraic varieties, …

Algebraic algorithms for vector network coding

J Ebrahimi, C Fragouli - IEEE Transactions on Information …, 2011 - ieeexplore.ieee.org
algebraic framework from scalar to vector coding. Section IV presents our proposed code
designs for vector and scalar network coding… scalar network coding, we start from the algebraic

Network coding theory via commutative algebra

SYR Li, QT Sun - IEEE Transactions on Information Theory, 2010 - ieeexplore.ieee.org
… Practical applications of convolutional network coding would require precise … , we shall
explore new algebraic structures for data units in network coding. The approach is …

An algebraic approach to physical-layer network coding

C Feng, D Silva, FR Kschischang - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
… Similar to vector-space-based noncoherent network coding (eg, [2]), the linear labelings …
network coding channel with a message space having, in general, a module-theoretic algebraic

Linear network coding: Theory and algorithms

SYR Li, QT Sun, Z Shao - Proceedings of the IEEE, 2011 - ieeexplore.ieee.org
… In conclusion, DVR-based network coding unifies and extends both … the key features in these
three forms of network coding. … network coding, algebraic study of communication networks, …

Network coding theory: A survey

R Bassoli, H Marques, J Rodriguez… - … Surveys & Tutorials, 2013 - ieeexplore.ieee.org
… of network coding theory and leads the reader through the antecedents of the network coding
theory to … possibility to apply the mathematical theorems of algebra on network coding. The …

Network coding: A computational perspective

M Langberg, A Sprintson, J Bruck - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
… an algebraic framework for network coding and investigated linear network codes for directed
… [5] to show that linear network codes can be efficiently constructed through a randomized …

A network coding approach to cooperative diversity

L Xiao, TE Fuja, J Kliewer… - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
… design using algebraic superposition of error control codes that … a network coding [9], [10]
approach to cooperative diversity because it has the defining characteristic of network coding: …

[PDF][PDF] Network coding, algebraic coding, and network error correction

RW Yeung, N Cai - Information Theory and its Applications Workshop (ITA' …, 2006 - Citeseer
… between network coding and algebraic coding. By showing that the Singleton bound in algebraic
coding theory is a special case of the Maxflow Min-cut bound in network coding theory, …