Lattice-Based Cryptography
LWE, Ring-LWE, and post-quantum cryptosystems.
Lattice-Based Cryptography. LWE, Ring-LWE, and post-quantum cryptosystems.
Foundations and canonical references
The standard treatments of lattice-based cryptography approach the subject from complementary angles. Micciancio, Complexity of Lattice Problems: A Cryptographic Perspective (2002) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Recent technical contributions
A handful of recent papers carry the methodological frontier of lattice-based cryptography forward. On lattices, learning with errors, random linear codes, and cryptography (Regev, 2009) is a primary reference for this area and develops new techniques or results that downstream work builds on.
Open methodological questions for lattice-based cryptography include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- paper · primary · 2009regev-2009
- textbook · primary · 2002Complexity of Lattice Problems: A Cryptographic Perspectivemicciancio-2002, goldwasser-2002
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