3: Suppose gEF is a generator and j,d€Z. (a) Please prove that gid=1 mod p if and only if jd=0 mod p – 1. (b) Please prove that the order of gº in F; is exactly (p − 1)/ gcd(j, p — 1). Hint: Use Part (a) and what you know about solving linear congruences with multiple solutions.

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