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RSA: Chinese Remainder Theorem
Covers RSA encryption and the Chinese Remainder theorem for secure communication.
Chinese Remainders Theorem and RSA
Explores the Chinese Remainders Theorem, RSA, bijective maps, and key generation for encryption.
Finite Fields: Construction and Properties
Explores the construction and properties of finite fields, including irreducible polynomials and the Chinese Remainder Theorem.
Observability and Controllability
Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.
Properties of Euclidean Domains
Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.
Rings and Fields: Principal Ideals and Ring Homomorphisms
Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.
Cryptographic Primitives: Theory and Practice
Explores fundamental cryptographic primitives, security models, and the relationship between decryption security and key recovery security.
Euclidean Division: Uniqueness and Remainder
Explores Euclidean division for polynomials, emphasizing uniqueness of quotient and remainder.
Chinese Remainder Theorem: Euclidean Domains
Explores the Chinese Remainder Theorem for Euclidean domains and the properties of commutative rings and fields.
Primes and Coprime
Explores prime numbers, coprime integers, and their properties in number theory.