Trudy wants to share the same key with both Alice and Bob using Diffie$-$Hellman. Thus, she tries to attack their key$-$exchange protocol in this way:

She changes $($ga mod p$)$ with $($gap mod p$)$ and sends it to Bob

She changes $($gb mod p$)$ with $($gp mod p$)$ and sends it to Alice

What will she able to achieve in this case?

Remember: $\text{'}$a$\text{'}$ is Alice's private value and $\text{'}$b$\text{'}$ is Bob's private value.

Group of answer choices

Trudy can only share a key with Alice

Trudy can only share a key with Bob

Trudy cannot share any key with Alice and Bob

Trudy can share a key with both Alice and Bob