1. Introduction to Modular Arithmetic. 2. Counting occurrences using modular arithmetic. 3. Modular Exponentiation techniques. 4. Introduction to Greatest Common Divisor (GCD) and its properties. 5.

In this module you will be learning five major properties. 1.Properties of addition in modular arithmetic: 2.Properties of subtraction in modular arithmetic: 3.Properties of multliplication in modular ...

Modular arithmetic, often hailed as one of the cornerstones of number theory, holds a significant place in the realm of mathematics. Beyond its foundational role, modular arithmetic plays a pivotal ...

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 ...

Abstract: This chapter presents a rigorous treatment of modular arithmetic. This leads into linear algebra, which is important for its applicability to coding, especially the class of linear codes.

Abstract: Modular multiplication is used in a wide range of applications. Most of the existing modular multiplication algorithms in the literature often focus on large size moduli. However, those ...

The Zmodn package provides a class for representing integers modulo a given prime number. This class can be used to applications such as cryptography and computer algebra.