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Code-Based and Multivariate Post-Quantum: Assumption Diversity Beyond Lattices

The standardized KEM and leading signatures are almost all lattice- or hash-based. A single break in the lattice family would be catastrophic, which is exactly why NIST keeps non-lattice backups. This series is the honest tour of the code-based and multivariate alternatives - McEliece, HQC, BIKE, and the multivariate schemes - and what they cost. Grounded in the primary papers and the fourth-round status.

Murali Chillakuru·5 episodes
  1. 1
    Why Assumption Diversity Matters: The Systemic Risk of a Single-Family Break
    Watch ▸7:24
  2. 2
    Code-Based Cryptography: Classic McEliece, Syndrome Decoding, and a Sixty-Year Track Record
    Watch ▸7:35
  3. 3
    HQC and BIKE: Quasi-Cyclic Codes, the Backup-KEM Decision, and Decoding-Failure Trade-offs
    Watch ▸7:34
  4. 4
    Multivariate Cryptography: The MQ Problem, Why Rainbow Fell, and What Still Stands
    Watch ▸7:48
  5. 5
    When to Reach for a Non-Lattice Scheme: A Decision Framework over Size, Maturity, and Risk
    Watch ▸7:16