We consider a DHKE protocol over a Galois fields GF(2^m). Up to now, we have been using groups but it is possible (and simple) to use GF for DHKE. Here, the generator is a polynomial (denoted as g(x)) and we have an irreducible polynomial instead of our public prime p (denoted as p(x)). (a) In our example here, all arithmetic is done in GF(2^5) with p(x) = x^5 +x^2 +1 as an irreducible field polynomial. (b) The primitive element for the Diffie–Hellman scheme is g(x) = x^2. The private keys are a = 3 and b = 12. What is the session shared key kAB?