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• W2169369793 abstract "We consider the scenario in which a set of sources generates messages in a network and a receiver node demands an arbitrary linear function of these messages. We formulate an algebraic test to determine whether an arbitrary network can compute linear functions using linear codes. We identify a class of linear functions that can be computed using linear codes in every network that satisfies a natural cut-based condition. Conversely, for another class of linear functions, we show that the cut-based condition does not guarantee the existence of a linear coding solution. For linear functions over the binary field, the two classes are complements of each other." @default.
• W2169369793 created "2016-06-24" @default.
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• W2169369793 date "2014-01-01" @default.
• W2169369793 modified "2023-10-10" @default.
• W2169369793 title "Computing Linear Functions by Linear Coding Over Networks" @default.
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• W2169369793 doi "https://doi.org/10.1109/tit.2013.2283075" @default.
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