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Lattice-based Cryptography

In: Post-Quantum Cryptography

Author

Listed:
  • Daniele Micciancio

    (University of California, CSE Department)

  • Oded Regev

Abstract

In this chapter we describe some of the recent progress in lattice-based cryptography. Lattice-based cryptographic constructions hold a great promise for post-quantum cryptography, as they enjoy very strong security proofs based on worst-case hardness, relatively efficient implementations, as well as great simplicity. In addition, lattice-based cryptography is believed to be secure against quantum computers. Our focus here will be mainly on the practical aspects of lattice-based cryptography and less on the methods used to establish their security. For other surveys on the topic of lattice-based cryptography, see, e.g., [36, 52, 60, 71] and the lecture notes [51, 67]. The survey by Nguyen and Stern [60] also describes some applications of lattices in cryptanalysis, an important topic that we do not discuss here. Another useful resource is the book by Micciancio and Goldwasser [49], which also contains a wealth of information on the computational complexity aspects of lattice problems.

Suggested Citation

  • Daniele Micciancio & Oded Regev, 2009. "Lattice-based Cryptography," Springer Books, in: Daniel J. Bernstein & Johannes Buchmann & Erik Dahmen (ed.), Post-Quantum Cryptography, pages 147-191, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-88702-7_5
    DOI: 10.1007/978-3-540-88702-7_5
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