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 ...

Abstract: Data security and authentication are critical in cryptography, especially in elliptic curve cryptography (ECC), where usage of efficient finite field multipliers becomes essential. However, ...

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 ...

People tend to obsess over making computer software faster. You can, of course, just crank up the clock speed and add more processors, but often the most powerful way to make something faster is to ...

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

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 ...

This summer, battle lines were drawn over a simple math problem: 8 ÷ 2(2 + 2) = ? If you divide 8 by 2 first, you get 16, but if you multiply 2 by (2 + 2) first, you get 1. So, which answer is right?