base^exp Power in O ln N time. This project implements a modular exponentiation algorithm using Python, which efficiently calculates ( \text{base}^\text{exp} \mod \text{const} ). The algorithm is used ...

Abstract: Modular exponentiation is fundamental operation in the many cryptosystem such as RSA. This operation is implemented by repeating modular multiplication which is time consuming for large ...

Montgomery algorithms represent a transformative advancement in the computation of modular arithmetic, specifically designed to bypass the costly division steps inherent in traditional methods. By ...

We show that a classical algorithm efficiently simulating the modular exponentiation circuit, for certain product state input and with measurements in a general product state basis at the output, can ...

You could brute-force this problem by multiplying b by itself e - 1 times, but it is important to have fast (efficient) algorithms for this process. In cryptography, the numbers involved are usually ...