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: Algorithms in cryptosystem such as RSA and Diffie-Hellman require the large integer multiplication. This paper introduces classical Knuth multiplication, Karatsuba multiplication and their ...

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.

I thought it would be fun to program up Karatsuba's multiplication to see how it really performs compared to the grade-school method. Sometimes these techniques to optimize big-O bounds don't work ...