Let the modulus g(x) be an irreducible polynomial of degree 2 over GF(3), i.e., g(x) = x2 + 1, then the finite field GF(32) can be constructed by a set of polynomials over GF(3) whose degree is at most 1, where both addition and multiplication are done modulo g(x).   In GF(32), compute 7 + 8 =? and 6 * 7=?

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