Suppose that your friend Ayesha wants to share a secret number with you via the DiffieHellmann key exchange. Ayesha selected the prime number p = 23 and the primitive root g = 10. (For this problem, you do not have to verify that 10 is a primitive root mod 23.) (a) You have selected your private number b = 4. What number should you send to Ayesha? (b) Ayesha has selected her private number (which she keeps secret) and has sent you the number A = 11. What is the secret number s that you have shared with Ayesha?

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