Algorithms have helped mathematicians perform fundamental operations for thousands of years. The ancient Egyptians created an algorithm to multiply two numbers without requiring a multiplication table ...

Naive vs. Strassen Algorithm Comparison - Benchmarking traditional O(n³) multiplication against Strassen's O(n^2.807) algorithm Formula-based Matrix Multiplication - Parser that reads and applies ...

Abstract: Large-integer modular multiplication (LMM) is a core operation in public-key algorithms, which serve as critical safeguards for information security. Although much effort has been made to ...

Abstract: This paper investigates the scalar multiplication algorithms of Elliptic Curve Cryptography (ECC) resisting power analysis attack in security System on Chip (SoC) and analyzes their ...

Matrix multiplication is one of those foundational operations that silently runs the modern world. Every time a neural network trains, a physics simulation renders, or a search engine ranks pages, ...

The challenge of reducing computational complexity in signal processing and cryptography drives ongoing research into faster algorithms, and a new study demonstrates a surprising equivalence between ...