English

Entropy vectors and network codes

Information Theory 2007-07-13 v1 Networking and Internet Architecture math.IT

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.

Keywords

Cite

@article{arxiv.cs/0702063,
  title  = {Entropy vectors and network codes},
  author = {Terence Chan and Alex Grant},
  journal= {arXiv preprint arXiv:cs/0702063},
  year   = {2007}
}