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Question: You are asked to implement a web server that requires each user to log in. You are asked to come up with two designs to store users' passwords securely. You can use a cryptographic hash function h, a symmetric cipher E, and a message authentication code function C.
(a) One design is to store the passwords on the website. However, as the file that stores these passwords may be leaked, we want to make dictionary attacks on the password file very difficult. What will you store in the file? And how would you authenticate a user? (Give precisedescription using mathematical formula.)
(b) The other design is not to store the password on the server. When a user creates an account, the account number is stored on the server and the user's password is stored in a cookie on the user's machine.
Identify the possible attacks in this scenario. To prevent various attacks, what should the cookie contain? And how would you authenticate a user? (Give precise description using mathematical formula.)
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