Public-Key Cryptography and Trapdoor Functions

Modern digital security relies heavily on asymmetric cryptography to safeguard data across open networks without requiring pre-shared secrets. This text-based course guides you through the foundational mechanics of public-key systems, detailing how trapdoor one-way functions form the backbone of modern secure communication. You will begin with essential terminology, modular arithmetic, and the theoretical concepts behind computational hardness. From there, you will explore how these principles are applied to modern encryption standards and authentication systems. What you will learn: - Understand the core principles of one-way functions and mathematical trapdoors - Explore asymmetric encryption algorithms, including RSA and discrete logarithm systems - Examine key exchange protocols such as Diffie-Hellman and elliptic-curve cryptography - Apply digital signatures to ensure data integrity and message authentication - Discover modern cryptography practices, including hybrid encryption and post-quantum security concepts The course begins with foundational mathematical definitions before progressing into real-world protocol structures and contemporary security considerations. This course is designed for beginners, developers, and aspiring security professionals, requiring no prior cryptography experience. Start reading today to build a solid grasp of modern public-key cryptography.