Analyzing the vulnerabilities of legacy cryptographic protocols under active and passive quantum threat models. Addressing 'Harvest Now, Decrypt Later' (HNDL) data collection, where encrypted sessions captured today will be deciphered once cryptanalytically relevant quantum computers arrive.
Detailed examination of polynomial ring reductions over Z_q[X]/(X^n + 1), centered binomial noise distributions, and constant-time number theoretic transforms. Providing concrete cycle counts and memory layout strategies across modern microarchitectures.
Empirical benchmarks and formal verification results across distributed testbeds. Formulating actionable engineering guidelines for infrastructure architects upgrading legacy networks to full post-quantum resilience.