Explore code-based cryptography assumptions in this 50-minute lecture by Tanja Lange from Technische Universiteit Eindhoven. Delve into topics such as Hamming codes, parity check matrices, and coding theory. Examine code-based encryption, security analysis consequences, and the decoding problem from various perspectives. Learn about the Niederreiter cryptosystem and security notions related to codes. Investigate generic attacks, including brute force and information-set decoding methods like the Lee-Brickell and Stern's attacks. Gain insights into binary Goppa codes and techniques for concealing code structures. This talk, part of the Quantum Cryptanalysis of Post-Quantum Cryptography series at the Simons Institute, provides a comprehensive overview of fundamental concepts in code-based cryptography.