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One of the one-way functions used in public key cryptography is the discrete logarithm. Computing r = g mod p from g, e, and

One of the one-way functions used in public key cryptography is the discrete logarithm. Computing r = g mod p

One of the one-way functions used in public key cryptography is the discrete logarithm. Computing r = g mod p from g, e, and p is easy. But given only r, g and p, recovering e is hard. Suppose p= 1013, g = 7 and r = 101. What is the smallest positive integer e such that r = g mod p?

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