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Problem 7 | Discrete logarithms with respect to different primitive roots Prove that the difficulty of the...

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Advance Math

Problem 7 | Discrete logarithms with respect to differentprimitive roots


Prove that the difficulty of the discrete logarithm problem isindependent of the primitive root.
Specifically, for any prime p, assuming that it is computationallyfeasible to extract discrete
logarithms with respect to one primitive root of p, show how onecan feasibly extract discrete
logarithms with respect to any other primitive root of p.

Answer & Explanation Solved by verified expert
3.8 Ratings (380 Votes)
Let p be a prime We say that g is a primitive root of p or sometimes modulo p if the powers l1 l2 l3 lp1 are congruent in some order to 1 2 3 p1 modulo p when we consider the remainders when lk is divided by p all numbers between 1and p1 are remainders 0 cannot We know fermats Theorem    See Answer
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