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Imagine Alice and Bob have agreed on using the generator g=5 and prime p=19 for their Diffie-Hellman key exchange. Alice uses a secret exponent a=3.

Imagine Alice and Bob have agreed on using the generator g=5 and prime p=19 for their Diffie-Hellman key exchange. Alice uses a secret exponent a=3. What is the smallest value of exponent b Bob could choose, if their shared secret is 7? Show your work and explain the answer.

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