Simplify rsa cryptosystem using prime number

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Q1) Assume we tried to simplify RSA cryptosystem using just prime p instead of composite modulus N = pq. As in RSA, we would have encryption exponent e that is relatively prime to p - 1, and the encryption of message x would be x e mod p. Show that this scheme is not secure by giving an ef?cient algorithm that, given p, e and x e mod p, computes x mod p. Be sure to justify the correctness and analyze the running time of your algorithm.

Reference no: EM1347597

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