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: A mixed radix-4/2 algorithm for modular multiplication/division suitable for VLSI implementation is proposed. The algorithm is based on Montgomery method for modular multiplication and on ...
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 ...
This repository offers the source code for the paper Improved Modular Multiplication Algorithms Using Solely IEEE 754 Binary Floating-Point Operations by Yukimasa Sugizaki and Daisuke Takahashi (IEEE ...
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 ...
Multiplication of two numbers is easy, right? At primary school we learn how to do long multiplication like this: Methods similar to this go back thousands of years, at least to the ancient Sumerians ...
A web-based visualization tool for the Karatsuba multiplication algorithm, developed to provide a step-by-step interactive breakdown of how large integers are multiplied efficiently. Built as a part ...