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We consider a DHKE protocol over a Galois fields GF(2^m). All arithmetic is done in GF(2^5) with P(x) = x^5+x^2+1 as an irreducible field polynomial. The primitive element for the Diffie-Hellman scheme is α = x^2. The private keys are KA = 3 and KB = 12. What is the session key kAB? Show all the step.

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