[Resource Topic] 2025/775: AuthOr: Lower Cost Authenticity-Oriented Garbling of Arbitrary Boolean Circuits

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Title:
AuthOr: Lower Cost Authenticity-Oriented Garbling of Arbitrary Boolean Circuits

Authors: Osman Biçer, Ali Ajorian

Abstract:

Authenticity-oriented (previously named as privacy-free) garbling
schemes of Frederiksen et al. Eurocrypt ’15 are designed to satisfy
only the authenticity criterion of Bellare et al. ACM CCS ’12, and to be
more efficient compared to full-fledged garbling schemes. In this work,
we improve the state-of-the-art authenticity-oriented version of half gates
(HG) garbling of Zahur et al. Crypto ’15 by allowing it to be bandwidth-free
if any of the input wires of an AND gate is freely settable by the
garbler. Our full solution AuthOr then successfully combines the ideas
from information-theoretical garbling of Kondi and Patra Crypto ’17 and
the HG garbling-based scheme that we obtained. AuthOr has a lower
communication cost (i.e. garbled circuit or GC size) than HG garbling
without any further security assumption. Theoretically, AuthOr’s GC
size reduction over HG garbling lies in the range between 0 to 100%,
and the exact improvement depends on the circuit structure. We have
implemented our scheme and conducted tests on various circuits that are
constructed by independent researchers. Our experimental results show
that in practice, the GC size gain may be up to roughly 98%.

ePrint: https://eprint.iacr.org/2025/775

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