Suppose Alice, Bob, and Carol want to use secret keys to authenticate each other. If they all used the same secret key K, then Bob could impersonate Carol to Alice (actually, any of the three can impersonate the other to the third). Suppose instead of using a single secret key, each person had their own secret key where Alice uses K_A, Bob uses K_B, and Carol uses K_C. Given a challenge/response authentication system, in order to prove his/her identity (authenticate), one responds to a challenge with a function of his/her secret key and the challenge. Is this more secure that having them all use the same secret key K? Your response needs to include a justification with citations. (Hint: What does Alice need to know to verify Carols response to Alices challenge?)

This is network question please dont cpy other answers