M = \begin{bmatrix}
\alpha_{1} & \alpha_{1}^{q} & \cdots & \alpha_{1}^{q^{n - 1}} \\
\alpha_{2} & \alpha_{2}^{q} & \cdots & \alpha_{2}^{q^{n - 1}} \\
\vdots & \vdots & \ddots & \vdots \\
\alpha_{m} & \alpha_{m}^{q} & \cdots & \alpha_{m}^{q^{n - 1}} \\
\end{bmatrix}
