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We find the capacity region of linear finite-field deterministic networkswith many sources and one destination. Nodes in the network are subject tointerference and broadcast constraints, specified by the linear finite-fielddeterministic model. Each node can inject its own information as well as relayother nodes' information. We show that the capacity region coincides with thecut-set region. Also, for a specific case of correlated sources we providenecessary and sufficient conditions for the sources transmissibility. Given the"deterministic model" approximation for the corresponding Gaussian networkmodel, our results may be relevant to wireless sensor networks where thesensing nodes multiplex the relayed data from the other nodes with their owndata, and where the goal is to decode all data at a single "collector" node.

Linear Finite-Field Deterministic Networks With Many Sources and One Destination