Abstract: The security of information has become even more important with the increased use of the internet, mobile communication and even social networking, all of which have intensified the volume ...

Abstract: Computing Modular multiplicative inverse is an important step in many arithmetic algorithms used in Cryptography. For example, Montgomery modular multiplication [2] is required to find out ...

Multiplicative Modular Nim (MuM) is a combinatorial game that reimagines classical Nim through the lens of modular multiplication. It serves as both a mathematical exploration and a pedagogical tool ...

This is a calculator program that takes in two arguments V (value) and M (modulus), in the mathematical formula: V mod(M) ≡ Result. The result is calculated by the class itself. If two modular ...

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 ...

In an isomorphic copy of the ring of symmetric polynomials we study some families of polynomials which are indexed by rational weight vectors. These families include well known symmetric polynomials, ...

Intrinsically noisy mechanisms drive most physical, biological and economic phenomena. Frequently, the system’s state influences the driving noise intensity (multiplicative feedback). These phenomena ...