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Report on Post-Quantum Cryptography

NISTIR 8105 Report on Post-Quantum Cryptography Lily Chen Stephen Jordan Yi-Kai Liu Dustin Moody Rene Peralta Ray Perlner Daniel Smith-Tone This publication is available free of charge from: NISTIR 8105 Report on Post-Quantum Cryptography Lily Chen Stephen Jordan Yi-Kai Liu Dustin Moody Rene Peralta Ray Perlner Daniel Smith-Tone Computer Security Division Applied and Computational Mathematics Division Information Technology Laboratory This publication is available free of charge from: April 2016 Department of Commerce Penny Pritzker, Secretary National Institute of Standards and Technology Willie May, Under Secretary of Commerce for Standards and Technology and Director National Institute of Standards and Technology Internal Report 8105 15 pages (April 2016) This publication is available free of charge from.

Grover’s algorithm provides a quadratic speed-up for quantum search algorithms in comparison with search algorithms on classical computers. We don’t know that Grover’s algorithm will ever be practically relevant, but if it is, doubling the key size will be sufficient to preserve security.

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