A Decade of Lattice Cryptography

Lattice-based cryptography is the use of conjectured hard problems on point lattices in Rn as the foundation for secure cryptographic systems. Attractive features of lattice cryptography include apparent resistance to quantum attacks (in contrast with most number-theoretic cryptography), high asymptotic efficiency and parallelism, security under worst-case intractability assumptions, and solutions to long-standing open problems in cryptography.

This monograph surveys most of the major developments in lattice cryptography over the past ten years. The main focus is on the foundational short integer solution (SIS) and learning with errors (LWE) problems (and their more efficient ring-based variants), their provable hardness assuming the worst-case intractability of standard lattice problems, and their many cryptographic applications.

Summary

Surveys most of the major developments in lattice cryptography over the past ten years. The main focus is on the foundational short integer solution and learning with errors problems, their provable hardness assuming the worst-case intractability of standard lattice problems, and their many cryptographic applications.

Product details

• Authors: Chris Peikert
• Publisher: Now Publishers Inc
• Languages: English
• Product format: Paperback / Softback
• Released: 07.03.2016
• EAN: 9781680831122
• ISBN: 978-1-68083-112-2
• No. of pages: 158
• Dimensions: 156 mm x 234 mm x 9 mm
• Weight: 251 g
• Series: Foundations and Trends(r) in T; Foundations and Trends (R) in Theoretical Computer Science; Foundations and Trends (R) in Theoretical Computer Science
• Subjects: Guides; Natural sciences, medicine, IT, technology > IT, data processing > Internet