Foundations of Cryptography and Cryptanalysis

How do we keep digital communication secure in an interconnected world? This course provides a clear, conceptual introduction to the mathematical principles of securing information and analyzing cryptographic systems. You will progress from understanding basic historical ciphers to analyzing modern cryptographic primitives. By reading through structured explanations and analyzing real-world scenarios, you will build a solid mental model of how data confidentiality, integrity, and authenticity are maintained online. What you'll learn: Understand foundational cryptographic terms, historical ciphers, and the core goals of information security; Analyze public-key and symmetric encryption mechanisms, including AES and RSA; Apply digital signatures and cryptographic hash functions to ensure data integrity; Explore pseudo-random number generation and its role in modern security protocols; Examine basic cryptanalysis techniques and how common cryptographic implementations are attacked; Discuss modern security concepts, including zero-knowledge proofs and the transition to post-quantum cryptography. The course begins with essential definitions and mathematical foundations before guiding you through symmetric cryptography, public-key infrastructure, and practical protocol analysis. Designed for beginners in computer science, cybersecurity, or mathematics, this text-based guide requires no prior background in advanced cryptography. Start reading today to master the underlying mechanics of digital trust and security.