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 ...

Mathematicians have reportedly discovered a new way of multiplying two numbers together. The new technique is for really large numbers, and if it passes a peer-review, could be the fastest ...

By transforming operands into a Montgomery domain, these algorithms enable efficient modular multiplication and exponentiation, which are crucial for public-key cryptosystems.