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2021 | OriginalPaper | Buchkapitel

Round-Optimal Verifiable Oblivious Pseudorandom Functions from Ideal Lattices

verfasst von : Martin R. Albrecht, Alex Davidson, Amit Deo, Nigel P. Smart

Erschienen in: Public-Key Cryptography – PKC 2021

Verlag: Springer International Publishing

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Abstract

Verifiable Oblivious Pseudorandom Functions (VOPRFs) are protocols that allow a client to learn verifiable pseudorandom function (PRF) evaluations on inputs of their choice. The PRF evaluations are computed by a server using their own secret key. The security of the protocol prevents both the server from learning anything about the client’s input, and likewise the client from learning anything about the server’s key. VOPRFs have many applications including password-based authentication, secret-sharing, anonymous authentication and efficient private set intersection. In this work, we construct the first round-optimal (online) VOPRF protocol that retains security from well-known subexponential lattice hardness assumptions. Our protocol requires constructions of non-interactive zero-knowledge arguments of knowledge (NIZKAoK). Using recent developments in the area of post-quantum zero-knowledge arguments of knowledge, we show that our VOPRF may be securely instantiated in the quantum random oracle model. We construct such arguments as extensions of prior work in the area of lattice-based zero-knowledge proof systems.

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Vorheriges Kapitel On the CCA Compatibility of Public-Key Infrastructure
Nächstes Kapitel BETA: Biometric-Enabled Threshold Authentication
Fußnoten
1
A subsidiary of the Internet Research Task Force (IRTF).
 
2
Note that using post-quantum secure VOPRF primitives in either the OPAQUE or Privacy Pass examples above would immediately result in PQ-secure alternatives.
 
3
Meaning that only two messages are sent in the online (query) phase.
 
4
Note that the output of \( \mathbb {S} (k) \) is \( \perp \) in our construction.
 
5
Using the fact that \( x^2=x \bmod q \iff x\in \{0,1\} \) assuming q is a prime power.
 
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Metadaten
Titel
Round-Optimal Verifiable Oblivious Pseudorandom Functions from Ideal Lattices
verfasst von
Martin R. Albrecht
Alex Davidson
Amit Deo
Nigel P. Smart
Copyright-Jahr
2021
Buch
Public-Key Cryptography – PKC 2021

Print ISBN: 978-3-030-75247-7

Electronic ISBN: 978-3-030-75248-4

Copyright-Jahr: 2021

DOI
https://doi.org/10.1007/978-3-030-75248-4_10