Question

4. RSA For some of the questions below you may want to use a high precision calculator e.g. a. Given n = 55 we choose e = 7 to complete the public key for RSA. Explain why this value works but e = 8 doesn’t. ______________________________________________________________________________________________________ ______________________________________________________________________________________________________

b. What is d given e = 7? ______________________ Remember: you need to find and inverse of e (mod φ(n)). Show work.

c. What is the number 2 encrypted as? _______________. Show work.

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For solving the problems, you are required to use the following
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In the RSA public-key cryptosystem,
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· Select two very large
prime number p and q. The number of bits needed to represent p and
q might be 1024.
· Compute
n = pq
(n) = (p – 1) (q – 1).
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