Reduction polynomial on the computation

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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.

Reference no: EM13713092

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