Question- Addition in GF(2^4): Compute A(x)+B(x) mod P(x) in GF(2^4) using the irreducible polynomial P(x) = x^4 +x+1.
What is the influence of the choice of the reduction polynomial on the computation?
Part a- A(x) = x^2+1, B(x) = x^3+x^2+1
Part b- A(x) = x^2+1, B(x) = x+1
Compute the irreducible polynomial.