Module 2

Mathematical foundations

2 lessonsabout 85 minFoundations / Practitioner / Advisor

After this module you can

  • Explain what a lattice problem is and why it resists Shor
  • Explain why hash-based and code-based approaches offer a different trust model from lattices

Before thisM1: The quantum threat

  1. 01Lattice and LWE intuitionFOUNDATIONS: state in one sentence what a lattice problem is and why it resists Shor's algorithm
  2. 02Hash-based and code-based intuitionExplain what 'stateful' means for hash-based signatures (SLH-DSA, LMS, XMSS) and why security collapses completely if key state is reused
Next moduleM3: Key encapsulation