International Association for Cryptologic Research

International Association
for Cryptologic Research


Extending Oblivious Transfer with Low Communication via Key-Homomorphic PRFs

Peter Scholl
DOI: 10.1007/978-3-319-76578-5_19
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Conference: PKC 2018
Abstract: We present a new approach to extending oblivious transfer with communication complexity that is logarithmic in the security parameter. Our method only makes black-box use of the underlying cryptographic primitives, and can achieve security against an active adversary with almost no overhead on top of passive security. This results in the first oblivious transfer protocol with sublinear communication and active security, which does not require any non-black-box use of cryptographic primitives.Our main technique is a novel twist on the classic OT extension of Ishai et al. (Crypto 2003), using an additively key-homomorphic PRF to reduce interaction. We first use this to construct a protocol for a large batch of 1-out-of-n OTs on random inputs, with amortized o(1) communication. Converting these to 1-out-of-2 OTs on chosen strings requires logarithmic communication. The key-homomorphic PRF used in the protocol can be instantiated under the learning with errors assumption with exponential modulus-to-noise ratio.
  title={Extending Oblivious Transfer with Low Communication via Key-Homomorphic PRFs},
  booktitle={Public-Key Cryptography – PKC 2018},
  series={Public-Key Cryptography – PKC 2018},
  author={Peter Scholl},