A Note on Quantum-Secure PRPs

• URL: http://arxiv.org/abs/1611.05564v3
• Date: Wed, 02 Apr 2025 19:15:32 GMT
• Title: A Note on Quantum-Secure PRPs
• Authors: Mark Zhandry,
• Abstract summary: We show how to construct pseudorandom permutations that remain secure even if the adversary can query the permutation.<n>Such quantum-secure PRPs have found numerous applications in cryptography and complexity theory.
• Score: 10.699704508276174
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We show how to construct pseudorandom permutations (PRPs) that remain secure even if the adversary can query the permutation, both in the forward and reverse directions, on a quantum superposition of inputs. Such quantum-secure PRPs have found numerous applications in cryptography and complexity theory. Our construction combines a quantum-secure pseudorandom function together with constructions of classical format preserving encryption. By combining known results, we show how to construct quantum-secure PRP in this model whose security relies only on the existence of one-way functions.

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