Lattice-Based Cryptography: Securing the Post-Quantum Era

As quantum computers advance, current encryption methods face obsolescence. Our research focuses on cryptographic schemes that remain secure against quantum attacks.

The Quantum Threat

Shor's algorithm can break RSA and ECC in polynomial time on a quantum computer. With estimates of cryptographically relevant quantum computers arriving within 10-15 years, migration must begin now.

Lattice Problems

Our schemes are based on:

• Learning With Errors (LWE)
• Ring-LWE for efficiency
• Module-LWE for flexibility

Security Analysis

These problems are:

• NP-hard in the worst case
• Believed quantum-resistant
• Efficiently solvable for legitimate users

Implementation

The 7lineas-PQC library provides:

• Key encapsulation mechanisms
• Digital signatures
• Homomorphic encryption primitives

Standardization

Our contributions have been incorporated into NIST's post-quantum standards, ensuring broad adoption across government and industry.