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This paper extends the part of the theory on linear network coding (S.-Y.R. Li et al., 2003) over an acyclic network. The extension also applies to "static linear network code" that is introduced by R. Koetter and M. Medard, (2003). Another objective is the rigorous clarification of fundamental concepts in linear network coding
Consider a communication network in which certain source nodes multicast information to other nodes on the network in the multihop fashion where every node can pass on any of its received data to others. We are interested in how fast each node can receive the complete information, or equivalently, what the information rate arriving at each node is. Allowing a node to encode its received data before...
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