We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is ide...
Abstract Anna Blasiak Robert Kleinberg Eyal Lubetzky Index Coding has received considerable attention recently motivated in part by applications such as fast video-on-demand and e...
We address the well-known problem of determining the capacity of constrained coding systems. While the onedimensional case is well understood to the extent that there are technique...
It is shown that the error control problem in random network coding can be reformulated as a generalized decoding problem for rank-metric codes. This result allows many of the too...
The linear deterministic model of relay channels is a generalization of the traditional directed network model which has become popular in the study of the flow of information ove...