Analyze the internal structure of stream ciphers using formal mathematical models.

Identify and classify stream cipher components such as LFSRs, nonlinear combiners, and filtering functions.

Apply key theoretical cryptanalysis techniques, including correlation attacks, algebraic attacks, and time-memory trade-offs.

Evaluate the theoretical security of keystream generators against various attack models.

Develop mathematically grounded intuition for the design and analysis of secure stream cipher systems.

Critically assess vulnerabilities in stream ciphers and suggest theoretical improvements or alternative constructions.