[Resource Topic] 2016/563: Garbling Scheme for Formulas with Constant Size of Garbled Gates

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Title:
Garbling Scheme for Formulas with Constant Size of Garbled Gates

Authors: Carmen Kempka, Ryo Kikuchi, Susumu Kiyoshima, Koutarou Suzuki

Abstract:

We provide a garbling scheme which creates garbled circuits of a very small constant size (four bits per gate) for circuits with fan-out one (formulas). For arbitrary fan-out, we additionally need only two ciphertexts per additional connection of each gate output wire. We make use of a trapdoor permutation for which we define a generalized notion of correlation robustness. We show that our notion is implied by PRIV-security, a notion for deterministic (searchable) encryption. We prove our scheme secure in the programmable random oracle model.

ePrint: https://eprint.iacr.org/2016/563

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