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Foundations and Trends in Theoretical Computer Science Ser.: Decade of Lattice Cryptography by Chris Peikert (2016, Trade Paperback)

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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.