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( 3 ) Diffie - Hellman key exchange: Start with the prime p = 1 7 and the primitive root g = 3 . (

(3) Diffie-Hellman key exchange:
Start with the prime p=17 and the primitive root g=3.
(a) Alice chooses the secret key a=4. Compute the public key
A-=ga,(modp)
Alice sends A to Bob.
(b) Bob chooses the secret key b=5. Compute the public key
B-=gb,(modp)
Bob sends B to Alice.
(c) Use Diffie-Hellman key exchange to compute the secret key that Alice
and Bob share.
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