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Exercise 9.9.1: Breaking RSA by factoring. Bob publishes his public key (e, N) = (109, 221) (a) Show...

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Advance Math

Exercise 9.9.1: Breaking RSA by factoring.

Bob publishes his public key (e, N) = (109, 221)

(a)

Show that if Eve can factor N (N = 13 · 17), then she candetermine Bob's private key d. What is Bob's private key?

(b)

Now suppose that Eve intercepts the message 97. Use Bob'sprivate key to decrypt the message.

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