Security Architecture

Suppose Alice requires passwords for eight different accounts. She could choose the same password for all of these accounts. With just a single password to remember, Alice might be more likely to choose a strong password. On the other hand, Alice could choose different passwords for each account. With distinct passwords, she might be tempted to choose weaker passwords since this might make it easier for her to remember all of her passwords.

a. What are the trade-offs between one well-chosen password versus several weaker passwords?

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b. Is there a third approach that is more secure than either of these options?

a. If the passwords are unsalted, how much work is it for Trudy to precompute all possible hash values?

b. If each password is salted with a 16-bit value, how much work is it for Trudy to precompute all possible hash values?

c. If each password is salted with a 64-bit value, how much work is it for Trudy to precompute all possible hash values?

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