Lattice-based and hash-based signature schemes represent two fundamentally distinct approaches to securing digital identities against quantum computers. Their primary differences lie in their underlying mathematical foundations, performance trade-offs, and versatility.
Mathematical Foundations
Lattice-Based Signatures
Lattice-based signatures derive their security from the geometric complexity of multi-dimensional grids (lattices). They rely on the extreme computational difficulty of solving problems such as:
Shortest Vector Problem (SVP): Finding the shortest path through a high-dimensional geometric lattice.
