3 problems

Let ${\bf F}_1$ and ${\bf F}_2$ be the linear encoding matrices, with ${\bf F}_2$ of the form specified in. Let $\alpha$ be the objective-weight parameter, let $\sigma_1^2$ and…

Linear-scheme optimality conjecture. The lower bound is tight, and linear schemes are optimal in terms of the beamforming gain.

Let $L$ and $q$ be positive integers, and consider multicast networks with vector linear network coding (LNC) of dimension $L$ over $\operatorname{GF}(q)$ and scalar linear network…