Note

1. Student ID: 3762380

2. Email Address: calvinchristoferus02@student

3. Password: blankspace

4. Current Date: 7 March 2023

5. Current Time: 21:41

Amazon Elastic Compute Cloud (Amazon EC2) is a web service that provides secure, resizable compute capacity in the cloud. Amazon EC2 uses Public Key Cryptography Standards (PKCS \#1) to encrypt and decrypt login information. PKCS\#1 is the first of a family of standards called Public-Key Cryptography Standards (PKCS), published by RSA Laboratories. Assume that you manage Amazon EC2. To protect user login information from eavesdroppers, you need to choose a PKCS \#1 public and private key pair for the cloud and make the cloud public key known to all users. When a user sends his login information to the cloud, he will use the cloud public key to encrypt his login information as shown in Figure 2. (1) Randomly generate PKCS #1 public key for the cloud. The size of the public modulo is required to have 2048 bits. The encryption key is the largest prime factor of your student ID. (2) Compute the cloud private key corresponding to the cloud public key. (3) Assume that the login information of the cloud user is "your email address, your password, current date and time" (note: the password can be chosen randomly). To protect your login information, what should you do before sending to the server? (4) What should the Server do to read (verify) the received login information? (5) Analyse the security of the cloud login information protection