Applied Cryptography: BasicsIntroduces applied cryptography basics, historical encryption methods, and the concept of perfect secrecy with the One Time Pad.
Probability Theory: Lecture 3Explores random variables, sigma algebras, independence, and shift-invariant measures, emphasizing cylinder sets and algebras.
Cryptanalysis: Public-KeyExplores cryptanalysis in public-key cryptography, covering attacks, algorithms, and security models.
Semantic Security: Stream CiphersExplores semantic security in stream ciphers, emphasizing pseudorandom number generators and computational limitations in cryptography.
Fermat's Little TheoremExplores Fermat's Little Theorem, its extensions, primality testing algorithms, and the significance of prime numbers in cryptography.
Probability and StatisticsCovers fundamental concepts in probability and statistics, emphasizing data analysis techniques and statistical modeling.
Cryptographic Security FundamentalsCovers cryptographic security fundamentals, including collision search algorithms, public-key cryptography, and risks of underestimating collision attacks.