Cyber Physical Systems & Security
As we learnt from the CPS&S course, the confidential and authentication services are critical security services required by the CPS. As a public-key encryption system, the RSA algorithm can achieve both services. Assuming that the RSA algorithm is adopted to provide both services in a CPS, given the public key of a user is e = 31, n = 3599 and M =9:
(1) Calculate the private key d to be used for decryption? (Hint: First use trial and error to determine p and q; then use the extended Euclidean algorithm to find the multiplicative inverse of 31 modulo ø(n).) (40 points)
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Order Paper Now(2) Show encryption process to calculate C. (30 points)
(3) Using the value of private key d calculated in (1), perform decryption process to get M=9. (30 points)
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