4 citations · 5 across the 5 of their papers we have counts for
6 papers · 1 filter
Source Coding for a Simple Network with Receiver Side Information
R. Timo, A. Grant, T. Chan +1
We consider the problem of source coding with receiver side information for the simple network proposed by R. Gray and A. Wyner in 1974. In this network, a transmitter must reliabl…
The minimal set of Ingleton inequalities
Laurent Guille, Terence Chan, Alex Grant
The Ingleton-LP bound is an outer bound for the multicast capacity region, assuming the use of linear network codes. Computation of the bound is performed on a polyhedral cone obta…
Mission impossible: Computing the network coding capacity region
Terence Chan, Alex Grant
One of the main theoretical motivations for the emerging area of network coding is the achievability of the max-flow/min-cut rate for single source multicast. This can exceed the r…
Dualities Between Entropy Functions and Network Codes
Terence Chan, Alex Grant
This paper provides a new duality between entropy functions and network codes. Given a function defined on all proper subsets of random variables, we provide a constr…
Group characterizable entropy functions
Terence H. Chan
This paper studies properties of entropy functions that are induced by groups and subgroups. We showed that many information theoretic properties of those group induced entropy fun…
Entropy vectors and network codes
Terence Chan, Alex Grant
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 appr…