Final answer:
To determine the shared secret key in a Diffie-Hellman-Merkle key exchange, use the formula Shared Secret Key = (Received Value)^Secret Mod (Prime). In this case, the received value is 3, the secret number is 13, and the prime is 37. Therefore, the shared secret key is 24.
Step-by-step explanation:
To determine the shared secret key in a Diffie-Hellman-Merkle key exchange, we use the formula:
Shared Secret Key = (Received Value)^Secret Mod (Prime)
In this case, the received value is 3, the secret number is 13, and the prime is 37. Plugging in these values, we get:
Shared Secret Key = (3)^13 Mod 37 = 24
Therefore, the shared secret key is 24.