Question: 6.2 Describe how to modify SHANKS' ALGORITHM to compute the logarithm of to the base a in a group G if it is specified

6.2 Describe how to modify SHANKS' ALGORITHM to compute the logarithm of

 

6.2 Describe how to modify SHANKS' ALGORITHM to compute the logarithm of to the base a in a group G if it is specified ahead of time that this logarithm lies in the interval [s, t], where s and t are integers such that 0 < s < t < n, where n is the order of a. Prove that your algorithm is correct, and show that its complexity is O(ts). -

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