Network Coding With Modular Lattices

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Executive Summary

Network coding is a tool for information transmission in networks. A network is considered to be a directed graph, where an edge from a vertex u to a vertex v is drawn, if u is able to send information directly to v. A subset of the vertices is the set of senders and another subset is the set of receivers. Each sender is interested in sending his information to every receiver (broadcasting). The information is transmitted over several vertices to the receivers. With network coding a vertex is allowed to combine received information and forward these combinations. Usually the information is represented by vectors of the Fq-vector space FN q for a prime power q and a positive integer N.

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