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Entropy vectors and network codes

Terence Chan·Alex Grant
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Abstract

We consider a network multicast example that relates the solvability of the multicast problem with the existence of an entropy function. As a result, we provide an alternative approach to the proving of the insufficiency of linear (and abelian) network codes and demonstrate the utility of non-Shannon inequalities to tighten outer bounds on network coding capacity regions.

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Terence Chan, Alex Grant. 2007-02-10. Entropy vectors and network codes. https://arxiv.org/abs/cs/0702063

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