Homomorphic EncryptionCovers the historical development and key concepts of homomorphic encryption, focusing on the Paillier cryptosystem and the BGV cryptosystem.
Quantum Random Number GenerationExplores quantum random number generation, discussing the challenges and implementations of generating good randomness using quantum devices.
LLL AlgorithmCovers the LLL algorithm for lattice reduction and discusses Hermite's constant and Minkowski's theorem.
Homomorphic EncryptionIntroduces homomorphic encryption, enabling computation on encrypted data without decryption, covering security, applications, and practical aspects.
Subset Sum: LLL AlgorithmCovers the Subset Sum problem and the efficient LLL algorithm for finding solutions in lattice basis reduction.
Finite Abelian Groups & RingsExplores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.
Probability and StatisticsIntroduces probability, statistics, distributions, inference, likelihood, and combinatorics for studying random events and network modeling.
Distributed Randomness: DrandExplores distributed randomness using Drand, covering cryptographic tools, key exchange, elliptic curve cryptography, and practical applications in blockchain systems.