Abstract: This paper presents a Montgomery algorithm used for modular reduction with distributed Karatsuba algorithm to achieve the goal. The main objective of this proposal is to reduce the running ...

Abstract: As a key operation in contemporary cryptosystems, modular multiplication occupies non-negligible latency and area. We first show optimizations of the k-term Karatsuba algorithm for AB/rk and ...

C library developed to perform arithmetic operations on integers of arbitrary length and Karatsuba algorithm has been implemented for performing multiplication of ...

This assignment combines theoretical analysis with practical implementation of the Karatsuba algorithm for fast integer multiplication. You will analyze asymptotic complexity, trace through the divide ...

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 ...

Most people know just one way to multiply two large numbers by hand. Typically, they learned it in elementary school. They’re often surprised to find that there are a variety of ways to do ...