  We give a characterization of all matrices $A,B,C \in \mathbb{F}_{2}^{m
\times m}$ which generate a $(0,m,3)$-net in base $2$ and a characterization of
all matrices $B,C\in\mathbb{F}_{2}^{\mathbb{N}\times\mathbb{N}}$ which generate
a $(0,2)$-sequence in base $2$.
