Draw the architecture of centralized key management

1. Differentiate centralized and distributed key management schemes.

2. Draw the architecture of centralized key management and explain it in detail.

3. Explain about Diffie–Hellman algorithm with a suitable example.

1. Prove that 2 is a primitive root of the prime number 11.

2. Find whether 3 is a primitive root of the prime number 11.

3. Compute the common shared secret key for the prime number p = 181 and primitive root k = 127. Consider the secret integer chosen by Alice is 48 and the secret integer chosen by Bob is 58.