Quantum Indistinguishability of random sponges

Jan Czajkowski, Andreas Hülsing, Christian Schaffner

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Samenvatting

In this work we show that the sponge construction can be used to construct quantum-secure pseudorandom functions. As our main result we prove that random sponges are quantum indistinguishable from random functions. In this setting the adversary is given superposition access to the input-output behavior of the construction but not to the internal function. Our proofs hold under the assumption that the internal function is a random function or permutation. We then use this result to obtain a quantum-security version of a result by Andreeva, Daemen, Mennink, and Van Assche (FSE’15) which shows that a sponge that uses a secure PRP or PRF as internal function is a secure PRF. This result also proves that the recent attacks against CBC-MAC in the quantum-access model by Kaplan, Leurent, Leverrier, and Naya-Plasencia (Crypto’16) and Santoli, and Schaffner (QIC’16) can be prevented by introducing a state with a non-trivial inner part. The proof of our main result is derived by analyzing the joint distribution of any q input-output pairs. Our method analyzes the statistical behavior of the considered construction in great detail. The used techniques might prove useful in future analysis of different cryptographic primitives considering quantum adversaries. Using Zhandry’s PRF/PRP switching lemma we then obtain that quantum indistinguishability also holds if the internal block function is a random permutation.

Originele taal-2Engels
TitelAdvances in Cryptology – CRYPTO 2019 - 39th Annual International Cryptology Conference, Proceedings
RedacteurenAlexandra Boldyreva, Daniele Micciancio
Plaats van productieCham
UitgeverijSpringer
Pagina's296-325
Aantal pagina's30
ISBN van elektronische versie978-3-030-26951-7
ISBN van geprinte versie978-3-030-26950-0
DOI's
StatusGepubliceerd - 1 jan 2019
Evenement39th Annual International Cryptology Conference, CRYPTO 2019 - Santa Barbara, Verenigde Staten van Amerika
Duur: 18 aug 201922 aug 2019

Publicatie series

NaamLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11693 LNCS
ISSN van geprinte versie0302-9743
ISSN van elektronische versie1611-3349

Congres

Congres39th Annual International Cryptology Conference, CRYPTO 2019
LandVerenigde Staten van Amerika
StadSanta Barbara
Periode18/08/1922/08/19

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Citeer dit

Czajkowski, J., Hülsing, A., & Schaffner, C. (2019). Quantum Indistinguishability of random sponges. In A. Boldyreva, & D. Micciancio (editors), Advances in Cryptology – CRYPTO 2019 - 39th Annual International Cryptology Conference, Proceedings (blz. 296-325). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11693 LNCS). Cham: Springer. https://doi.org/10.1007/978-3-030-26951-7_11