Modular arithmetic

Formal sciences
Mathematics
Algebra
Abstract algebra

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Number Theory: Modular Arithmetic

Explores modular arithmetic, congruence, and number manipulation in a mathematical context, showcasing the power of modular reduction and the tricks of casting out nines.

Modulo: Congruence and Check Digits

Explores modulo arithmetic rules and check digits for data accuracy.

Rudiments of Number Theory

Introduces modulo arithmetic, Euclid's algorithm, and congruence in number theory.

Modular Arithmetic: Foundations and Applications

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Modular Arithmetic: Understanding RSA Cryptosystem

Explores modular arithmetic and its role in the RSA cryptosystem for error detection.

Modular Arithmetic: Introducing Z/mZ

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Montgomery Multiplication

Covers Barrett reduction, Montgomery form of integers, and efficient Montgomery product computation.

Algorithms for Big Numbers: Z_n and Orders

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

Binary Operations: Addition and Multiplication

Covers binary operations, including addition and multiplication of integers represented in binary form.

Number Theory: History and Concepts

Explores the history and concepts of Number Theory, including divisibility and congruence relations.