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 ...

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.

Pure-Python library for working with modular arithmetic, congruence classes, and finite fields. A library for number theory and modular arithmetic algorithms in Python e.g. Pollard Rho, Miller–Rabin ...

In the last blogpost we introduced cryptography and dicsussed Monoalphabetic Substitution Ciphers. We could already see operations that are cyclic. For example, in Caesar Cipher we rotated the letters ...

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: The Montgomery multiplication is an efficient method for modular arithmetic. Typically, it is used for modular arithmetic over integer rings to prevent the expensive inversion for the modulo ...

Abstract: This paper presents a novel approach to perform modular arithmetic addition and subtraction using base-1 thermometer code data format for operands corresponding to the residues of the same ...