Let’s consider a modified version of the Diffie-Hellman (DH)…
Let’s consider a modified version of the Diffie-Hellman (DH) key exchange between Alice and Bob, using the same publicly known parameters g and p, with the following steps: 1. Alice picks a secret number a, computes A = ga mod p and sends A to Bob 2. Bob picks a secret number b, computes B = gb mod p and sends B to Alice 3. Alice takes her secret number a, and the B received from Bob, and computes the shared secret key as: B∗ga mod p=ga+b mod p 4. Bob takes his secret number b, and the A received from Alice, and computes the shared secret key as: A∗gb mod p=ga+b mod p Assume Eve is just a passive eavesdropper on Alice and Bob’s traffic (so no tampering). Is this modified key exchange secure against Eve? If so, explain why. If not, explain why not.
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