a$.$ Briefly explain the concept of digital signatures.

$[5$ Marks$]$

b$.$ Alice wants to establish a secure communication channel with Bob by digitally

signing her messages. Design a robust digital signature system tailored to

their communication needs. Provide detailed insights into the key

components, cryptographic algorithms, and security considerations.

i$.$ Identify and explain the key components required for the digital

signature system. What entities $($e$.$g$.,$ public keys, private keys,

certificates$)$ are essential for Alice and Bob to exchange secure

messages?

$[5$ Marks$]$

ii$.$ Describe the process of key generation for both Alice and Bob. How

are their public and private keys generated, and what measures should

be in place for secure key management?

$[5$ Marks$]$

iii. Outline the steps involved in Alice generating a digital signature for her

messages. Include details about the cryptographic operations and any

additional data that may be included in the signature.

$[5$ Marks$]$

iv$.$ Explain how Bob verifies the digital signatures received from Alice.

Highlight the cryptographic procedures involved in the verification

process and how Bob ensures the integrity and authenticity of the

messages