The Karatsuba algorithm is a fast multiplication method that uses a divide-and-conquer approach to multiply large numbers more efficiently than the traditional grade-school method. Instead of ...

This is the implementation of 1st Part in 3-Part Series of Algorithms Illuminated Book. All Implementations in this repository are written in both Python and Golang. Single IPython Notebook contains ...

Abstract: While the Karatsuba algorithm reduces the complexity of large integer multiplication, the extra additions required minimize its benefits for smaller integers of more commonly-used bitwidths.

Abstract: The need for efficient multiplication of large integer polynomials in contemporary cryptographic systems is crucial. This study explores six-term Karatsuba multiplication, known for its ...