CryptoDB
Constrained Pseudorandom Functions for Inner-Product Predicates from Weaker Assumptions
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| Conference: | ASIACRYPT 2024 |
| Abstract: | In this paper, we build a framework for constructing Constrained Pseudorandom Functions (CPRFs) with inner-product constraint predicates, using ideas from subtractive secret sharing and related-key-attack security. Our framework can be instantiated using a random oracle or any suitable Related-Key-Attack (RKA) secure pseudorandom function. We provide three instantiations of our framework: 1. an adaptively-secure construction in the random oracle model; 2. a selectively-secure construction under the DDH assumption; and 3. a selectively-secure construction with a polynomial domain under the assumption that one-way functions exist. All three instantiations are constraint-hiding and support inner-product predicates, leading to the first constructions of such expressive CPRFs under each corresponding assumption. Moreover, while the OWF-based construction is primarily of theoretical interest, the random oracle and DDH-based constructions are concretely efficient, which we show via an implementation. |
BibTeX
@inproceedings{asiacrypt-2024-34628,
title={Constrained Pseudorandom Functions for Inner-Product Predicates from Weaker Assumptions},
publisher={Springer-Verlag},
author={Sacha Servan-Schreiber},
year=2024
}