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

Researchers continually refine algorithms to exploit modern processor architectures, enhancing performance through strategies such as blocking, vectorisation, and architecture-specific tuning.

Even more important, the multiplication algorithm is part of a class of nearly ubiquitous algorithms in computer science. Gidney expects that his new technique will allow quantum computers to ...