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Garbled Circuits With Sublinear Evaluator

Authors:
Abida Haque , NC State
David Heath , Georgia Institute of Technology
Vladimir Kolesnikov , Georgia Institute of Technology
Steve Lu , Stealth Software Technologies, Inc.
Rafail Ostrovsky , UCLA
Akash Shah , UCLA
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Presentation: Slides
Conference: EUROCRYPT 2022
Abstract: A recent line of work, Stacked Garbled Circuit (SGC), showed that Garbled Circuit (GC) can be improved for functions that include conditional behavior. SGC relieves the communication bottleneck of 2PC by only sending enough garbled material for a single branch out of the b total branches. Hence, communication is sublinear in the circuit size. However, both the evaluator and the generator pay in computation and perform at least factor log⁡b extra work as compared to standard GC evaluation. We extend the sublinearity of SGC to also include the work performed by the GC Evaluator E; thus we achieve a fully sublinear E, which is essential when optimizing for the online phase. We formalize our approach as a garbling scheme called GCWise: GC WIth Sublinear Evaluator. We show one attractive and immediate application, Garbled PIR, a primitive that marries GC with Private Information Retrieval. Garbled PIR allows the GC to non-interactively and sublinearly access a privately indexed element from a publicly known database, and then use this element in continued GC evaluation.
Video from EUROCRYPT 2022
BibTeX
@inproceedings{eurocrypt-2022-31851,
  title={Garbled Circuits With Sublinear Evaluator},
  publisher={Springer-Verlag},
  author={Abida Haque and David Heath and Vladimir Kolesnikov and Steve Lu and Rafail Ostrovsky and Akash Shah},
  year=2022
}