Question: Multiplication in GF (2 ^4): Compute A ( x ) B ( x ) mod P ( x ) in GF (2^4) using the irreducible

Multiplication 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? A(x)=x^2+1, B(x)=x^3+x^2+1

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