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 ...

Abstract: This paper describes the design and implementation of a high-performance modular exponentiation arithmetic unit based on Montgomery algorithm and FIPS method. We present an effective method ...

Reversible circuits for modular multiplication Cx%M with x M arise as components of modular exponentiation in Shor's quantum number-factoring algorithm. However, existing generic constructions focus ...