Exercise 1: Polynomial Arithmetic for GF(4) Develop a set of tables similar to Table 5.3 from the textbook for GF(4) with Modulo (x2 + x + 1).

Exercise 2: Multiplicative Inverse in GF(16) Determine the multiplicative inverse of (x3 + x + 1) in GF(24) with m(x) = x4 + x + 1.

Exercise 3: Generator for GF(16) Develop a table similar to Table 5.5 from the textbook for GF(24) with m(x) = x4 + x + 1.