I'm given the task of representing a galois field, specifically $GF(107^2)$, by polynomials modulo a irreducible polynomial (which I'm given) in $Z_{107}[x]$. I'm confused on how I'm supposed to go about this, can anyone give me a hint?
Is my solution to generate all possible elements and perform polynomial division on all of them?
I honestly have no idea where to start. A computer is said to be needed to help solve this.