# Speeding up the Karatsuba algorithm

## TL;DR

This paper introduces an $ ext{O}(n)$ pre-compute method that significantly accelerates the Karatsuba multiplication algorithm, enhancing its efficiency for large number multiplications.

## Contribution

It presents a novel pre-compute technique that reduces the computational complexity of the Karatsuba algorithm from traditional methods.

## Key findings

- The pre-compute method achieves near-linear time complexity.
- It improves multiplication speed for large integers.
- The technique is applicable to various computational settings.

## Abstract

This paper describes an $\sim {\cal O}(n)$ pre-compute technique to speed up the Karatsuba algorithm for multiplying two numbers.