NO PLAGIARISM PLEASE LET YOUR ANSWERS BE SHORT AND SIMPLE.

6. There are several reasons why it is good practice to separate RSA digital signature key pairs and RSA encryption key pairs. (a) If Alice is using the same RSA key pair for both digital signatures and encryption, explain how Bob could forge Alices signature on a message of his choice if Alice is foolish enough to help him. (b) Why is this a more powerful attack than the existential forgery ?

c) What other reasons are there for keeping these key pairs separate?