cryptography

2. Generate the multiplication table for the extension field GF(23) for the case that the irreducible polynomial is P(x)-*3+'+1. The multiplication table is in this case a 8 x 8 table. 3. Addition and multiplication in GF(21): Compute A(x)+B(x) mod Px) and Ar) Bx) mod Px) in GF(21) using the irreducible polynomial Px)-*++1. What is the influence of the choice of the reduction polynomial on the computation? 1) A(x) = x2+1, B(x) = x3+x2+1 2)A(x) =x2+1, B(x) = x + 1