Answered Essay: 1) write any C++ or java programming for each one of these as follows

1) write any C++ or java programming for each one of these as follows:

a) Is 7 a primitive root modulo 65537? How many calculations” multiplications” are needed?

b) solve 7^x ≡ 2 (mod 65537)

c) A first non- trivial approach to solving discrete logarithms is the baby step giant algorithm of shanks. first learn it and use it to solve

2^x ≡ 18465502604450 (mod 247457076132467) but before using this method, try to solve this DLP by brute force. how did it go? Calculate how much storage space you need to implement the Shanks algorithm for this problem.

Expert Answer


Note: Codes are in C++.

  1. In this part we can directly implement the brute force approach and find the answer and the count of calculating the multiplications.
  2. In 7^x ≡ 2 (mod 65537) equation,
    For calculating x we can just make some slight changes in the above code:
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