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RSA algorithm with define range of d

My question is: Alice signs messages using RSA with a public key (e,N) and a private key d. Alice chooses d in the range N power 0.25 < d < N power 0.5 What is the time needed for Alice to calculate the signature S = m power d mod N? My answer is: Alice::Listen

My question is:
Alice signs messages using RSA with a public key (e,N) and a private key d. Alice chooses d in the range N power 0.25 < d < N power 0.5 What is the time needed for Alice to calculate the signature S = m power d mod N?

My answer is: Alice chooses e so that d is in the range N power 0.25 < d < N power 0.5. Since d is in the range N power 0.25 < d < N power 0.5, we have d = O(N power 0.5). Therefore, the time needed for Alice to calculate the signature S = m power d mod N is O(log d) = O(log (N power 0.5)).

But I am not sure.. can anybudy help??

Bitcoin price reaches $23.4K on 4.6% gains amid ‘very mixed’ outlook

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