Modular arithmetic treats integers by their remainders. This turns infinite integer questions into finite arithmetic on residue classes, which is why it appears in hashing, pseudorandom generators, ...

Chapter 4 introduces the notion of modular arithmetic, something of huge importance in mathematics, and also something with many real‐world applications. The first application to be introduced is the ...

Abstract: High throughput and low resource are the crucial design parameters of elliptic curve cryptographic (ECC) processor in many applications. The efficiency of ECC processor mainly depends on ...

MOMA is a Rust framework for exploring number theory, cryptography, and bioinformatics through the lens of Moving Origin Modular Arithmetic. The crate is designed for researchers and developers who ...

Based on the combination of quaternion numbers, residual matrices, and chaotic attractors, a new cryptosystem is proposed for multimedia processing files such as images and audio. The key employed in ...

We all know the usual jokes about the ‘S’ in ‘IoT’ standing for ‘Security’. It’s hardly a secret that security in embedded, networked devices (‘IoT devices’) is all too often a last-minute task that ...

You may never have heard of modular arithmetic, but you use it every day without the slightest difficulty. In this system, numbers wrap around when they reach a certain size called the modulus; it is ...