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Alice and Bob use the Diffie-Hellman algorithm to agree on a secret message. First, Alice and Bob agree on the prime number 19 and a

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Alice and Bob use the Diffie-Hellman algorithm to agree on a secret message. First, Alice and Bob agree on the prime number 19 and a number g=3 Alice chooses a secret number a and computes the number gamod(p) Alice makes this number (which happens to be 15) public Bob chooses a secret number b and computes the number gbmod(p) Bob makes this number (which happens to be 5) public Alice and Bob each can now compute the secret key Your task is to break the code and determine the secret key that only Alice and Bob are supposed to know

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