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 …
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, …
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 …
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 …
explore new algebraic structures for data units in network coding. The approach is …
An algebraic approach to physical-layer network coding
… 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 …
network coding channel with a message space having, in general, a module-theoretic algebraic …
Linear network coding: Theory and algorithms
… 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, …
three forms of network coding. … network coding, algebraic study of communication networks, …
Network coding theory: A survey
… 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 …
theory to … possibility to apply the mathematical theorems of algebra on network coding. The …
Network coding: A computational perspective
… 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 …
… [5] to show that linear network codes can be efficiently constructed through a randomized …
A network coding approach to cooperative diversity
… 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: …
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, …
coding theory is a special case of the Maxflow Min-cut bound in network coding theory, …
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