Web Reference: Mar 8, 2023 · While computing with large numbers modulo, the (%) operator takes a lot of time, so a Fast Modular Exponentiation is used. Python has pow (x, e, m) to get the modulo calculated which takes a lot less time. What is Modular Exponentiation? To calculate Modular exponentiation, we need to raise a base to an exponent and then calculate the modulus of the result. This includes 3 integers: base, exponent, and modulo. Following is the syntax of the modular exponentiation in Python - (base**exponent) % modulo May 24, 2021 · In a quick stab implementing Montgomery reduction in Python, and replacing the modular multiplies in your code by the Montgomery spellings, modular_pow() didn't get faster than the built-in before the modulus grew to tens of thousands of bits. For inputs around 256 bits, it was about 3x slower.
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