Let $A\in \mathbb{GF(2)}$ a matrix with dimensions $N,M$. Let $f_{x,y}$ a function that do cyclic shift to the rights by $x$ and to up by $y$.
Example Let $A$ be \begin{matrix} a & b & c\\ d & e & f\\ g & h & i\\ \end{matrix} the $f_{4,1}(A)$ is
\begin{matrix} f &d & e\\ i&g & h\\ c & a & b\\ \end{matrix}
Could you help to find the matrix associated with this linear transformation $f_{x,y}$.