How to find parity check matric for an MRD code C $\subseteq$$(F_{q^N})^n$ of dimension k with the generator matrix G where $g_1, g_2,....g_n$ are elements of $F_{q^N}$ and linearly independent over $F_{q}$; n is less than or equal to N and k is less than or equal to n
$$ G= \pmatrix{ g_1 & g_2 & \dots & g_n \\ {g_1}^{q^{1}} & {g_2}^{q^{1}} & \dots & {g_n}^{q^{1}}\\ \dots & \dots & \dots & \dots\\ {g_1}^{q^{k-1}} & {g_2}^{q^{k-1}} & \cdots & {g_n}^{q^{k-1}}} $$