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You are doing a Diffie-Hellman-Merkle key exchange with Russell

using generator 2 and prime 37. Your secret number is 13. Russell
sends you the value 3. Determine the shared secret key.

1 Answer

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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.

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