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 ...

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 ...

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