Hardness of Lattice Problems in High Dimensions
Lattice-based cryptography relies on the computational hardness of high-dimensional geometric problems, specifically the Shortest Vector Problem (SVP) and the Learning With Errors (LWE) framework.
Unlike RSA and elliptic curve cryptography which can be compromised in polynomial time by quantum Shor's algorithm, lattice vector reduction remains computationally intractable for both classical and quantum computing paradigms.
Standardization of ML-KEM and Real-World TLS Integration
The standardization of Module-Lattice Key Encapsulation (ML-KEM/Kyber) introduces post-quantum confidentiality to modern transport layer security (TLS 1.3) handshakes with minimal ciphertext expansion overhead.