Paper 2016/563 Original: eprint.iacr.org/2016/563 ↗

Garbling Scheme for Formulas with Constant Size of Garbled Gates

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.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2016-06-03: last updated
2016-06-03: published
Short URL
https://ia.cr/2016/563
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2016/563,
      author = {Carmen Kempka and Ryo Kikuchi and Susumu Kiyoshima and Koutarou Suzuki},
      title = {Garbling Scheme for Formulas with Constant Size of Garbled Gates},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/563},
      year = {2016},
      url = {https://eprint.iacr.org/2016/563}
}
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